diff --git "a/data/dm_maths/full_data_2/1463_11255.jsonl" "b/data/dm_maths/full_data_2/1463_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1463_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z = 524 + -264. Suppose z = -11*t + t. Let k(m) = m**3 + 26*m**2 + 2*m + 62. Calculate the remainder when 57 is divided by k(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20660?\nAnswer: 2, 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891) + -1 + 4)*6*3.\nAnswer: 54 + 162*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5162.372 from -269968.\nAnswer: -275130.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 + -1. Let c = 0.69 + 2.41. Let o = -0.9 - c. Put 0, o, k in increasing order.\nAnswer: o, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/4*5\/(-25). Let d = -8.8 + 5.8. Are d and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-108)\/(-8))\/(2\/4). Calculate the greatest common divisor of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-855)*52 - (-570)\/1805\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 40 - (-146 - -186)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 4039.217 centuries?\nAnswer: 40392.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 95645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 8145*m - 1026270. Determine l(126).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*k, -3*g + 4*k = -6 - 17. Suppose u + 1 - 3 = 0. Suppose -4*y = -2*z - 14, -5*z + 2*z - g = -u*y. Calculate the remainder when 4 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, y: 15}. Give prob of picking 1 r and 2 y.\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1231674 and 95664.\nAnswer: 9853392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*c - 6 = 27*c. Differentiate -6*u**2 + 4 + 4 + c + 0 with respect to u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by -82?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1980 divided by 3?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6694.3 litres in millilitres?\nAnswer: 6694300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/195 - (-30)\/130?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -a**5\/20 - 5*a**4\/6 - 11*a**3\/6 - 5*a**2\/2 - a. Let c be r(-9). Let k = c + 0. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 0, 4*p - 2*o - 15 = 9*p. Let a(v) = -v + 3. What is a(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 2. Let r be v(-7). Let f = 5 + r. Suppose f = -4*g, 3*b + g = 2*g + 39. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8704 = -1282*i - 140*i - 10979 - 19055 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*f + 34804 = -12103, 78125 = 5*t - 5*f. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 56502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8823 and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 45.75565, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(143)*-1)\/sqrt(11))**2 + (0 + sqrt(13))*-4.\nAnswer: -4*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4056536\/7 + -579505. Factor 0 - 1\/7*m - x*m**2.\nAnswer: -m*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 62398918 = -21*g + 151*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -123669, 0.1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2515011028 from 79.\nAnswer: -2515010949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1*24)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -23*i**8\/48 - i**6\/60 + 2*i**4\/3 + 4*i**3\/3 - 204*i**2 + 1. What is the second derivative of o(l) wrt l?\nAnswer: -3220*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155350672 - -1.\nAnswer: -155350671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t = 24*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26621*a = 26650*a + 232 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 310\/(-4)*(-8)\/10. Suppose 18*p - x*p = -9724. List the prime factors of p.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3585*g**3 - 12*g**2 - 4*g. Let k(q) = -35383951*q**3 - 118437*q**2 - 39479*q. Calculate 4*k(n) - 39479*l(n).\nAnswer: -3589*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 1850?\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -189 in -1\/5, 0.4, 0.3, 6\/17, 15?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 10, 632652?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*n - 8 = 0, 3*n = -3*q + 4*q + 13. What is the units digit of q\/(-12) + (-158)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 5761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2035737 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 9, -2 in ascending order.\nAnswer: -2, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 9*d + 43. Let p(x) = 2*x - 6. Let h(o) be the second derivative of -8*o + 1\/6*o**3 + 0 - o**2. Determine d*p(l) + 8*h(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -35*y**2. Let x(a) be the second derivative of -199*a**3\/6 + a**2\/2 - 15511*a. Determine r(x(c)).\nAnswer: -1386035*c**2 + 13930*c - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1514790\/43 bigger than -35227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1728\/(-672))\/((-6)\/63*(-54)\/24)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 14) to base 5.\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -171, 3\/11 in descending order.\nAnswer: 3\/11, -3, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 189?\nAnswer: 4\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1005)\/201*(-2)\/(-3140)*2*(-290)\/(-145)\nAnswer: -2\/157","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7961 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 23*s + 129. Let i be h(-15). Solve -4*x + x + i = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -755998\/1703 + 5768\/13. Let c = h + -10775\/1572. Calculate the common denominator of c and 55\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 - 40. Let y = d + -11. Suppose 32 = 3*i - 124. Calculate the remainder when i is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47345*f + 2445 - 2445.\nAnswer: 47345*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/20448 and -19\/2700.\nAnswer: 1533600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-5))\/((-2)\/10). Suppose 3*j + 2*q - 35 = 0, q - o*q = -2*j + 10. Suppose 2*x - j = -41. Is -17 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2886.5 - -2886.6. Put -54, -2, f in decreasing order.\nAnswer: f, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 9*i**4\/5 - 1300*i**3 - 24737*i**2\/5 + 38488*i\/5 - 1452 = 0?\nAnswer: -5, 2\/9, 1, 726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 <= -18.313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2274 = -0*t + 118*t + 558 for t.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/3)\/(1\/3). Let c be 4564\/163 - (-3 - 6). Sort b, c, -1 in ascending order.\nAnswer: -1, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v + 5*v**2 - 13*v in the form g + i*v**2 + o*v and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -19\/5 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -45\/1337 - -2253115\/8022. Let z = 282 - x. Let q = 128159\/4202 - -1\/2101. Find the common denominator of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82453 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 0 + 243\/665*f**7 + 0*f**3 - 38*f**2 + 16\/57*f**4 + 81\/95*f**6 + 72\/95*f**5 + 0*f. Factor g(q).\nAnswer: 2*q*(9*q + 4)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -3*g + 6*g + 3*u + 33, -307*g - 22 = 16*u - 14*u for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -35 + r + 20 + 15 + 0*r**2 - r**2. Let n = -9 + 10. Let p(x) = -3*x**2 + 4*x - 4. What is n*p(m) - 4*q(m)?\nAnswer: m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 12. Let z be m(-8). Suppose 10 = 3*w - z*a, w + 3 = -4*a + 1. Solve -2*p - 12 = w*n, 5*n - 4 = -3*p - 28 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(405) + sqrt(405) - (sqrt(405) - (5 + (sqrt(405)*-1 - sqrt(405)))) - (4 + sqrt(405) + 1 + (sqrt(405) + sqrt(405) + 1)*3))**2.\nAnswer: 360*sqrt(5) + 40504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49938.304 plus 165.5?\nAnswer: -49772.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-38*(0 - 5). Let l = y - 166. What is the highest common divisor of 3 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 102 and 547458?\nAnswer: 9306786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38667 + 38667 - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44\/65 - -3091\/3510. Find the common denominator of 67\/90 and m.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25971994 to the power of 1\/2, to the nearest integer?\nAnswer: 5096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 3. Calculate the remainder when 31 is divided by (-4 + 1)*(-16)\/v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 729, 1461, 2193, 2925, 3657, 4389?\nAnswer: 5121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32765601*f*m*n + 1971577*f*n + 2*f - 11*m*n - 50*n wrt m.\nAnswer: 32765601*f*n - 11*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 119?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 12, 1189, 10 in increasing order.\nAnswer: -1, 5, 10, 12, 1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 160 = 5*g, 65 = 2*g - 0*g + p. Calculate the remainder when 57 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1245*a = -1249*a + 24*x - 268, -5*a = -49*x + 316 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 345 = 12*p. What is the least common multiple of 175 and p?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 23*z**4 - 1215*z**3 + 1230*z**2 + 2432*z + 8. Let x(v) = -7*v**4 + 2*v - 2. Let k(j) = f(j) + 4*x(j). Factor k(c).\nAnswer: -5*c*(c - 2)*(c + 1)*(c + 244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23136445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/14 - (-7 - -10). Sort n, 2, 0.3, 2\/13 in decreasing order.\nAnswer: 2, 0.3, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 29*f + 24*f = -51, 5*k = -3*f + 53 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5*k - 20 = 0, 44*d - 6*k + 2*k + 21 - 1 = k - 0*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5072718 to the power of 1\/2, to the nearest integer?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 0 - 1\/1. Let m be (-209)\/152 - 6\/(-16). Put -3, m, c in ascending order.\nAnswer: -3, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678621922 to the power of 1\/2, to the nearest integer?\nAnswer: 26050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298978.\nAnswer: 2, 149489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 89*n + 265. What is p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**4\/6 - 7*j**3\/6 - j. Let p(x) = x**2 - 3*x. Let k(z) = 6*l(z) - 15*p(z). Find the second derivative of k(r) wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46849213 to the nearest integer?\nAnswer: 6845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c + 4. Let j(i) = 9*i - 7. Let x(d) = 5*a(d) + 2*j(d). Give x(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 8*j**2 + 13*j + 5. Let b(z) = z**3 - 4*z**2 - 11*z - 1. Let o be b(6). Suppose -o*t - 60 = 2*i, -t - 2*i + 15 = -7*i. Is 27 a factor of s(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26, 104, 228, 392, 590, 816, 1064, 1328?\n\"Answer: -s**3 + 29*s**2 - 2*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 (base 14) in base 16?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108) + -3*(1 + sqrt(27)) - -2*2*sqrt(675))**2.\nAnswer: -342*sqrt(3) + 9756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 299 - 148. What is the third derivative of 115*p**6 + p + 4*p + 11*p**2 - b*p**6 wrt p?\nAnswer: -4320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 9) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010 - -101?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + q - 4 = 6*q - q - 3*h, 5*h - 40 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 a factor of 20443389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1386*c - 31925. Give o(-23).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 239 + 42 = 24 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459 and 2511.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1333 (base 6) to base 10\nAnswer: -345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o + 3*q, 5*o + q - 16 = 4*q. Suppose n + 17 = o*s, -3 = 4*n + 1. Solve -s + 3 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42235 + 20?\nAnswer: 42255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)\/(4\/52). Let x = p - -7. Let f(a) = -a**3 - 7*a**2 - 6*a. Let n be f(x). Solve 0*o + 4*o = b - 21, n = 5*o + b + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**8\/10080 - t**5\/20 - 2*t**2. Let q(l) be the third derivative of a(l). Let v(p) = -p. Give v(q(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -376, -1825, -3274, -4723?\n\"Answer: -1449*k + 1073","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16225?\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 45 + 37 = 0, 4*i - 8 = 4*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(84) - (sqrt(84) - (sqrt(84) + sqrt(84)*1))))\/(sqrt(3) - sqrt(36)\/sqrt(48)))**2 + -3.\nAnswer: 11197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -77*g**3 + 4*g**2 + 2*g. Give w(-1).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*v**3 + 45*v**2 - 37*v**2 + 48*v**4 + 2*v**4.\nAnswer: 2*v**2*(5*v - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 15*v**2 + 1080*v - 117. Give x(42).\nAnswer: -2385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 80.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - l + 2. Suppose 7*j = 2*j. Let m be a(j). Suppose y + 2993 = 2*i - 286, -4901 = -3*i - m*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.765755 rounded to two dps?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5217, -4649, -3697, -2361?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*(-2*i**2 - 2*i + 2*i) + 635698 - 635698 + 1013*i**2 as z + s*i + r*i**2 and give r.\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18786880*c*y**3 + 6193*c*y**2 + 2*c*y + 3*c - y + 6 wrt y?\nAnswer: -112721280*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/6)\/((-3)\/(-162)*1179 - 22).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2284004 and 1492?\nAnswer: 851933492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34322506096.057461 - 34610458307.45746098. Let f = -287952208 - n. Let j = f + -3.4. What is j rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2024 - 2025. Which is the closest to 6? (a) 2\/5 (b) l (c) -1\/2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-2)\/1)\/(6\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 150837563?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1270 and 28\/381.\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 10*t**2 + 6*t + 106. What is the hundreds digit of m(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*w + 14, 355*r - 352*r - 6 = 0. Solve 4*k = w*f - 7, 2*k - 4*f - 4 = -0*f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 15*g + 5. Let i be h(-7). Let c be (i\/(-4))\/(3\/(-132)). Are c and -22 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*a + 15, 3*a - 6*u + 2*u + 20 = 0. Suppose 4*r - 27 = -a*r + 5*d, r - 3*d - 12 = 0. Solve 2 + 4 = r*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 566669780 and 3020?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 - 258 - 123641*f - 164.\nAnswer: -123641*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8246619.9ns to hours.\nAnswer: 0.00000229072775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2 and -52\/798478961.\nAnswer: 1596957922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -264 divided by 2.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139116 - -0.7376.\nAnswer: 139116.7376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)\/(x*x**(2\/31))*((x\/((x**(-2)\/x)\/x))\/x)**(-3))\/(x**(5\/2)*x*x**(-5\/2)*x)**16 assuming x is positive.\nAnswer: x**(-1583\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 47?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*b - 57 + 16 - 24 - 22 - 35*b to the form h + i*b and give h.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5172339996.\nAnswer: 2, 3, 263, 182099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/30*30\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 3, 2\/7, -3\/5, 0.0148694?\nAnswer: 0.0148694","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*l + 249 = 2706 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159119872.\nAnswer: 2, 310781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-13) - 15\/13. Let l(k) = -6*k**2 + 4*k - 19. Let r(t) = t**2 - t + 1. Let v(b) = u*l(b) - 5*r(b). What is the tens digit of v(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2964987 and 459?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 61 - 11. Suppose -272 = -0*f - 17*f. What is the third derivative of -s*p**2 - 15 - 21*p**6 - f + 31 wrt p?\nAnswer: -2520*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 1:50 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 1\/7 (b) -0.2 (c) 92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -285\/2 (c) 4\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-94)\/5 + 4\/5. Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnsnwryswnwwwsswwnwy. What is prob of picking 1 n and 1 y?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, w: 1, f: 1, g: 2, t: 1}. Give prob of picking 1 t and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + (-106 - (-31 - 12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10478?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 23023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**(-17)\/(z**(-1\/4)\/z**(-9))*(z**(-5\/4)\/z)\/(z\/((z*z*z**3*z)\/z))*z**(2\/7)*(z\/(z\/(z**(-1\/4)*z)))\/z assuming z is positive.\nAnswer: z**(-109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fo when two letters picked without replacement from {c: 3, f: 7, o: 8}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-556)\/(-139))\/((-6)\/(-57)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 328 and 132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -3.623413 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x - 15. Let p = 0.2 + -0.2. What is the nearest to p in x, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 41. Suppose -h*y - 72 = -11*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1161 + 1163. Sort 9, 0, d.\nAnswer: 0, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 414.4351 nanograms to tonnes.\nAnswer: 0.0000000000004144351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 29*g + 16. Let f be m(14). What is the units digit of 101 + (2 - -1 - f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689668 - 97*q + 689668.\nAnswer: -97*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -797173 by 797173.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014302777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m + 5. Let c(y) = 35*y + 14. Let b(h) = 6*c(h) - 17*p(h). Let u be b(2). Calculate the greatest common divisor of u and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -549, -498, -445, -390, -333, -274?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 108*d. Let g be (-3 - -8)\/(-10)*-6. Does 12 divide m(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*(-5 + -4 + sqrt(2448) + sqrt(2448)*2 + -5 + (sqrt(2448) + -2)*-4)*1.\nAnswer: 108 + 216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 205\/((4 - 4) + -1). Let u be ((-32)\/(-20))\/((-2)\/a). Suppose 3*x - u = -32. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -17. Let x = -5.8 + q. What is the nearest to -2\/9 in 4, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w**2 - 5 + 5)*(-124 + 94 + 292) to v + b*w + m*w**2 and give m.\nAnswer: -1048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00344788 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**5\/20 + k**4\/3 + k**3\/3 + 3*k**2 - k. Let u = 24 + -28. Calculate x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7198039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3487 divided by -3\nAnswer: -3487\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(539) + 3 + 0.\nAnswer: 5 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 238\/6 - (-2)\/6. Suppose 0 = 4*m + j - 48 - 133, -a = -m + 5*j. Suppose 71 = 7*n - 139. What is the highest common factor of m and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**10)**(-8)\/(y*y**(-9))**(-4\/5))**(2\/45) assuming y is positive.\nAnswer: y**(-944\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, -276.21, -2\/9 in increasing order.\nAnswer: -276.21, -2\/9, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*y - 34 + 34)*(-202 + 151 + 109)*((5*y - 6*y + 0*y)*(0 - 2 + 3) - 2*y + 4*y - 4*y) to a + h*y**2 + m*y and give h.\nAnswer: 4176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 - 6. Let a(w) = -w**3 - w**2. Let s be a(-2). Suppose 2*i + s*j - 5 = -23, -2*i - 8 = -j. Is q(i) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 2*t + t)*(-1 + 0 + 2 + (-1 - 2 + 1)*(3 - 2 + 1) + 13 + 15 - 2)*(-2 - t + 2) to i + l*t**2 + k*t and give l.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 13, f: 6}?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 11*m - 2*m)*(2*m - 4*m + m)*(-2*m**2 + 0*m + 0*m)*(-1 - 1 + 0).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*g + 5*g - 5*g)*(2 - 2 - 1)*(4*g - 4*g - 3*g**3) + g + 2*g**4 - g to the form c*g**4 + d*g**3 + v*g + k*g**2 + f and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14906 = -634*n + 377*n for n.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.79 - 15. Let o = -29.89 - -30. Let z = o + m. Is z less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/1)\/((-6)\/4). Let o = -3\/40 - 4\/5. Is o greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 i, and 1 h when three letters picked without replacement from iqbhuwwuuhiwhuuwuu?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*m + 3*k, m - 4*k + 4 = 2*m. Suppose 4*d - m = 3*d, 5*d - 22 = j. Is ((-4)\/(-8))\/(j\/(-148)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.86 and 775.46.\nAnswer: 736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 147 - -74. Let h = 345 - p. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-113 - -100 - (0 - 6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (48 - 19)) + 6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -42, -34, -24, -12, 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i - 19 = 42*i. What is the nearest to i in -2\/11, -3, -5, 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264\/(-9)*429\/(-52).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 5, c: 7}. Give prob of picking 2 e and 1 b.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 95, 122, 135, 128, 95, 30?\n\"Answer: -l**3 - l**2 + 37*l + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 45. Let z(a) = -2*a - 23. Let d(x) = -3*m(x) + 5*z(x). Is 12 a factor of d(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2954*v = -2525 - 21107 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 - 3447*o**3 - 6901*o**2 + 10347*o.\nAnswer: o*(o - 3449)*(o - 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 25*n**3 + 56*n**2 - 5*n + 5. Let j(c) = 12*c**3 + 28*c**2 - 3*c + 3. Let f(l) = -5*j(l) + 3*v(l). What is the third derivative of f(k) wrt k?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*a - 9 + 9.\nAnswer: 47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8769 and 9480?\nAnswer: 350760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (55107\/(-54))\/(1\/(-2)). Suppose -10*o + 2829 = -a. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13087*k - 4913*k - 1069*k to u*k + v and give u.\nAnswer: -19069","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.34 - 2.3. What is the nearest to 1 in s, -2\/7, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/(26\/30)*138\/(-828).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-874)\/264 + (-60 - 21802\/(-363)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 3*v + 0*v**3 + 3*v**3 - 10*v**2 - v**2 to the form g + z*v**3 + j*v**2 + c*v and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n**5 - 5*n**5 - n**5 + (2*n + 4*n - 2*n)*(15*n**4 - 9*n**4 - 7*n**4 + 2*n**4 + 0*n**4 + 0*n**4 + (3*n**3 - 3*n**3 + 2*n**3)*(-4*n + 2*n + 0*n)).\nAnswer: -14*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrbbbrriibsbibrrrri. What is prob of picking 2 i?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113.6 - 113.9. Which is the fourth smallest value? (a) 3 (b) 8\/3 (c) n (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -77 + 69 - (1 - -2 - 15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(2\/7))**(-37)*(r*r**(-1\/4)*r*r)\/(r**(2\/5)*r)*r*r**(-4)*r*r\/(r\/r**7)*((r*r**(-1\/3))\/r*r*r*r)**(-34) assuming r is positive.\nAnswer: r**(-46513\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/37, 2867, 3?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -907 and 25.2829033.\nAnswer: -881.7170967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444 is divided by 208?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8013, 9665, 11317?\nAnswer: 12969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 64*n**2 - n + 1. Let q be d(2). Suppose 293 + q = p. Let u = p - 67. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + (1 - 0 - 2) - -362. Let u be -3 + 11\/3 - n\/(-12). Suppose 3*f = 14 + u. Solve 2 = p - 3*p, -2*g = -5*p - f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -23, 2, -997, -2, 0.1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -18658252.\nAnswer: 1865825.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from iuquiiuq?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 38. 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 347955 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24239280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 2402*x + 19288. Calculate y(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2 - 6*v + 15. Suppose p = -2*k - 15, -3*k = -19*p + 18*p + 10. Let h(t) = -4*t**2 - 5*t + 14. Give p*g(d) + 6*h(d).\nAnswer: d**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1920175*b**3*l - 13*b**2*l**2 + 2*l**2 - 3*l - 4859859 with respect to b.\nAnswer: 5760525*b**2*l - 26*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26665 (base 9) to base 2.\nAnswer: -100011001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 8*h + 3. Let m be g(-8). Let v be -25*3*m\/9. Let s = v - -35. Solve d - 3*z = 6, -s = 5*d - z + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 125. Suppose 2*c + t = 592. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**8\/280 - m**5\/40 - m**3\/2 + 3*m**2. Let x(t) be the first derivative of i(t). Find the second derivative of x(h) wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270.4385 + -189.4454. Let s = -81 + v. What is s rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125778690 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**5\/60 + 5*m**4\/24 + m**3\/6 + 3*m**2 + 18*m. Give h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13352*o**3 + 7049*o**2?\nAnswer: 80112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y. Let b(h) = -23*h. Let m(z) = -b(z) + 46*j(z). Let q(g) be the first derivative of -2*g**3\/3 + 2. Give q(m(n)).\nAnswer: -1058*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(960)\/sqrt(5) + sqrt(3))**2 + sqrt(3) - (sqrt(5808))**2)*-2.\nAnswer: -2*sqrt(3) + 11130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17 - 163 + 88*r - 5*r**3 - 184*r + 239*r - 75*r**2 + 117*r.\nAnswer: -5*(r - 2)*(r - 1)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + o + 17295. Determine m(-131).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -99*q + 952 + 335 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84523*o = 84458*o - 2535 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + -8)\/((-6)\/8). Suppose 0 = -5*r + 3*q + 29, -q + g = r - 5*q. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/201303 and 14\/13532035.\nAnswer: 121788315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 less than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*i**3*n - 6*i**3 + 2*i**2*n - 8556*i**2 - 2*i - 53105*n + 704 wrt i.\nAnswer: -48*i*n - 36*i + 4*n - 17112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-32)\/(-24) - 4). What is the nearest to 1 in 0.28, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 2*f**2 + f - 2. Let c be o(3). Which is bigger: c or -46?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 137*i - 1020. Is 11 a factor of o(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r**2 - 4*r**2 + r**2)*(-27 - 15 + 14) - 1 + 1 - 3*r**2 to the form p*r + a + d*r**2 and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.03 + 1.97. Let v = -9 - -9.3. Let k = -1 - -0.9. Which is the closest to 1\/5? (a) v (b) k (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 31. Suppose -4*x = -2*b - 1268, 5*b = z*x - 459 - 797. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -240330001 at least as big as -240330000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 83*b**4\/24 + 141*b**3\/2 + b**2 - 2891*b. Give f(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 minus -45?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*u + 39. Let s be u\/7 + 2\/(-2). Let f = -98.244 + 102.244. Which is the third biggest value? (a) s (b) -1\/2 (c) f (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22498950 to the power of 1\/3, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 23 - (66 - 54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1277994.3 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 797949.5 litres in millilitres?\nAnswer: 797949500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = j - 6*j + 4, 5*y - 10 = 0. Does 11 divide j + 2\/(-3)*-21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -19*c - 7. Let q(t) = -38*t - 13. Let f(l) = -3*q(l) + 5*r(l). Let g be f(-10). Let i = -25 - g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 1:21 AM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.23 - -1.05. What is u rounded to zero decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.89 times 2\nAnswer: -21.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/27*6\/(-4)*-2. Factor -38\/11*l**3 - 14\/11*l**d - 2\/11*l**5 - 32\/11*l - 50\/11*l**2 - 8\/11.\nAnswer: -2*(l + 1)**3*(l + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o + 22. Let s be h(0). Suppose -5*b - 10 = -3*f + s, 5*b - f = -24. Suppose 5*z = z - 12. Sort 2, z, b, 5 in decreasing order.\nAnswer: 5, 2, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7540.417 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.1 + -43.99. Let r = 2028 - 2024.1446. Let d = z + r. What is d rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 308a + 8?\nAnswer: 3097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, -145, -528, -1125, -1942, -2985, -4260?\nAnswer: -5773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 5723.4, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -i - 5, -i + 301 = 5*j + 298 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-68)\/(-8))\/(5\/10). Let d = c - 13. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33534502 (base 6) to base 5\nAnswer: -230223330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 5*m - 0*m + 20, -2*m + 8 = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 9:55 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 3. Let u = -3.4 + f. Let w = -0.5 + u. Which is the nearest to w? (a) 0.2 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2\/13, -2\/7, -0.017, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15999998)\/(3 + -5) + 1. Round f to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4 - 16 = 0. What is the remainder when 33 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72226294 + 72226294 + 3119*p**3.\nAnswer: 3119*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 z when three letters picked without replacement from izizzziqzziziiizzzz?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000594 to 7 decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from vvqvqneev.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -346085 take away -15?\nAnswer: -346070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 509782 to the power of 1\/2, to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22240435 (base 7) to base 10.\nAnswer: -1925824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 minutes after 8:16 PM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/2*(-28526)\/(-4195)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 12*k + 20 = 0. Let h be (4 - (-10)\/k)\/((-2)\/(-140)). Calculate the greatest common divisor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 2*k - 44*k**3 - 43*k**3.\nAnswer: -87*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxf when three letters picked without replacement from {x: 6, f: 13}.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2.2, 1\/6 in ascending order.\nAnswer: -5, 1\/6, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -30726*a. Let t(x) = 4*x. Give t(p(c)).\nAnswer: -122904*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 50256654*o**3 + 3*o**2 - 1842504 wrt o?\nAnswer: 301539924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1077038069 or 2\/3?\nAnswer: 1077038069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (23 - 3 - 0) + -1. Let x = j + -6. Calculate the remainder when 23 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -936000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 40, 61, 116, 223, 400, 665, 1036, 1531?\n\"Answer: 3*n**3 - n**2 + 3*n + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(228) + sqrt(228) - sqrt(228) - sqrt(228) - sqrt(228))*1*4)\/(-5*sqrt(48)\/sqrt(36))*1)**2.\nAnswer: 24624\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -62\/11 + 2\/11*l**2 - 60\/11*l.\nAnswer: 2*(l - 31)*(l + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -8*o**2 + 8*o + 1. Let h(c) = 4 + 5*c**2 - 5 - 9*c + 4*c**2. What is 7*a(k) + 6*h(k)?\nAnswer: -2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 326 - 169)*(-3*c + 2*c - c - 2*c + 4*c + 0*c + (0 + 3 - 4)*(c + 3*c - 6*c) - c + 5*c - 2*c + 0*c - 5*c + 4*c).\nAnswer: -1200*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (2 + -13 - -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 177 - 144. What is the remainder when z is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*d**2 - 275094*d + 9176984.\nAnswer: 2*(d - 27476)*(5*d - 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 6 - 2 - w**3 - 2*w**2 + 5*w - 2*w**2. Let s = -12 + 8. List the prime factors of r(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2299999*o + 4. Let b be h(4). What is b rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {f: 7, d: 2, s: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 9*n. Let y be (0 - 1)*(5 + 1). Let r(p) = 4*p**2 - 19*p. What is y*r(s) - 13*m(s)?\nAnswer: 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 108982 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*m - 6 = -4*x - 14*m, 4*x - m = 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 906*l**3 - 19*l - 909*l**3 + 5*l to q*l**2 + s + x*l + t*l**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38181.\nAnswer: 3, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1246265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12302?\nAnswer: 2, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 23*m**3 - 7*m**2 - 7*m + 749. Let x(i) = 13*i**3 - 4*i**2 - 4*i + 374. Give -4*j(g) + 7*x(g).\nAnswer: -g**3 - 378","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 + 891\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102111 (base 3) to base 14\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43777213 - -24577213. What is q rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-14) + (-23)\/(-7). Suppose -f*m - 10 = -r - m, -r - 14 = 4*m. What are the prime factors of (-2)\/(r\/(-9)*3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-620)\/(-1116)*(1 + (-16)\/10). Suppose -3*k - 6 + 0 = 0. Are k and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18053 - 361147\/20. What is the common denominator of u and (30\/112)\/((-2)\/(-21))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 r when three letters picked without replacement from cirrcccccxixxxxxcxri?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -100112201210?\nAnswer: -100112201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let a be z\/(-10) - 110\/(-25). Let r be (-1)\/(-2)*2\/a. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + q + 1732, 4*x - q = -2*q + 3476. Let f = x + -421. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5155637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 - 11 = 0. Let m be (-2 - a)*1 + -1. Let u(p) = p**3 - 2*p**2 + 2*p - 4. Let i be u(2). Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29779.\nAnswer: 97, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (3*-1*sqrt(35)\/((4*sqrt(7) + sqrt(7) - sqrt(7)) + sqrt(7) + sqrt(7)) - ((-5*sqrt(10))\/sqrt(2) - sqrt(55)\/(sqrt(11) - sqrt(275)))))**2.\nAnswer: -17*sqrt(5)\/2 + 1461\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*h**4 + (2*h - 4*h + 4*h)*(-h**2 - h**3 + h**2) - 3*h**2 - 8*h**4 + 3*h**2 - 3*h**4 + 0*h**4 + 2*h**4 + 3*h**2 - 3*h**2 + 2*h**4.\nAnswer: -11*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -878*h - 5958 = -1526*h - 345*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 930 and 1800.\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from uuouuuuuoououuuouuu?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-13)\/546*-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*n = -1. Let y be -1*(-1 + n)\/(-9 + 12). Sort 3, y, -1, -2 in ascending order.\nAnswer: -2, -1, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14862*r**3 - r - 15034*r**3 + r + 2 + 29865*r**3.\nAnswer: -31*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.153 - 6.153. Which is the nearest to -1\/2? (a) 1 (b) 2\/5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1281.\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*v**2 + 100*v**2 - 57*v**2 - 4 - 39*v**3 + 3 to l*v**2 + r*v**3 + t*v + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-1058)\/(-212))*21*164\/(-6027)\nAnswer: -2\/371","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -654 + 44970?\nAnswer: 44317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + b?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.163 less than -95929720?\nAnswer: -95929716.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Which is greater: 161498 or 807497\/5?\nAnswer: 807497\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389772711.\nAnswer: 3, 3881, 11159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.64837505 rounded to 2 dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 6, 13, -5\/6, -0.05?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590993572 a multiple of 165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4457524.\nAnswer: 2, 1114381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 189*x - 2955. Calculate p(-16).\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3678 - 3674. Solve 8*f - 5*j - 8 = 4*f, 0 = -t*f + 4*j + 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1027 divided by -71615.\nAnswer: 1027\/71615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 37*b = -33*b - 2036, 3*h - 6*b = 1518. Calculate the greatest common factor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2 + 5. Let a be j(6). Let b = 700 - a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 + 35*p - 204. Calculate b(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.19728 decades in years?\nAnswer: 221.9728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5287975997542\/5015 - -1054431899. Let x be 5\/(-1003)*(-27)\/45. Let v = x - g. Is v at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 432 and 334584?\nAnswer: 669168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 113, 165, 219?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1191772856 - -1191772768.99999432. Let o = 87 + r. Round o to seven decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 6*x**2 - 4*x + 22. Let d be m(6). Let k = 74.1 + -84. Let q = -2.1 + k. Which is the second smallest value? (a) q (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -544*g**3*k**2 - 2*k**2 + 112 wrt g?\nAnswer: -1632*g**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 22*y**3 + 2*y**2 - 1. Let u be d(-1). Suppose 3*o + 14 = 5*o. What is the remainder when u\/(-2) - (-6)\/4 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.8187mg in nanograms?\nAnswer: 309818700","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3896219.\nAnswer: 3896219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o - 11. Let x be s(-15). Suppose 4*b + a - 52 = 0, -b - 2*a - 14 = -x. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3f86 (base 16) to base 15.\nAnswer: 4c42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1613*s**3 + 26*s**2 + 26*s - 128. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 12. Let x be 0\/(p\/6*2). Suppose x*f + 5*f = 15. Which is the second biggest value? (a) -1 (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407\/2 - -204. Which is greater: x or 0.68?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-387)\/(-344)*4\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29031077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38210 or -532?\nAnswer: -532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*p + 15, t + 5 = -3*p + 34. Suppose -p - 26 = -2*h. What is the greatest common factor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y*y\/(y\/((y*y*y*y**(-1\/3))\/y)))\/y))**(-2\/89))**(-1\/16) assuming y is positive.\nAnswer: y**(1\/2136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5*-226\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + (-40 - -23) + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(288) - (sqrt(288) + sqrt(288) + -1))*-4 + ((sqrt(98)*2)**2 - (sqrt(2) + sqrt(10)\/(sqrt(5)*-1))**2).\nAnswer: 48*sqrt(2) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1392*y**3 + 312943*y**2 + 1216460459 wrt y.\nAnswer: -4176*y**2 + 625886*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2803*-2\nAnswer: 5606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 327? (a) -311 (b) -0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.2, -2\/7, -4\/9, 29?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/9 + 8*w**2\/9 + 10*w\/9 + 4\/9 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/26 or -0.3316?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 5. Let u be f(-5). Solve u*o = 4*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 22 + 10)*(-4*b**2 + b**3 + 4*b**2)*(59 - 59 + 20*b) - 3*b**2 + 3*b**2 - b**4 + (3*b**3 - b + b)*(0*b - 2*b + 0*b).\nAnswer: -127*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*k = -33, -i + 6*k = 5*k - 19. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h*h\/(h**(-3)*h))))\/h*h**(3\/4)*h*h**(-2)\/h*h*h**(-8)*h**(2\/15)\/(h**1*h)*h**5*h**(-2\/5)*h assuming h is positive.\nAnswer: h**(-31\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10655373 (base 8) to base 14.\nAnswer: 444599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6437 - 106?\nAnswer: -107.6437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 55*h**3 - 210*h**2 + 340*h - 200.\nAnswer: -5*(h - 5)*(h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*c + 84*c + 18. Suppose c*g + 66 - 432 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 4727*r**3\/6 - 1112*r**2 + 4*r - 48. What is the derivative of z(s) wrt s?\nAnswer: 4727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 h when three letters picked without replacement from hiihhhhhhh?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2553 - -2519) + (58 - 0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-375)\/20)\/((-12)\/128). Let x = k - 172. Solve -v + 5*h = -0*v - x, -h = 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 513.47 and -70?\nAnswer: 583.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, -3*w + 0*w + 4 = p. Let i(b) = 17*b + 3. Let j be i(p). Suppose 0*h + 2*v = -2*h + 172, h = 4*v + j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010000010 (base 2) to base 7.\nAnswer: 16546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, s: 3}. What is prob of picking 3 s?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17958, 17782, 17606, 17430, 17254?\n\"Answer: -176*f + 18134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.7 - -7.23. Let b = a - 7.47. Let i = b + 7. Round i to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 797 and 9.\nAnswer: 7173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (218*y**2 + 12 - 21 + 9)*(3*y - 5*y + 0*y).\nAnswer: -436*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 + -57. Let u = o - -149. Let i = u + -71. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vkkkkvvvkvkkv?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 188\/22 - (-48)\/88?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -2, 280, -396\/19?\nAnswer: 280","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2 - 7*y - 235. Let x(d) = 2*d**2 + 4*d + 118. Give 3*n(z) + 5*x(z).\nAnswer: -11*z**2 - z - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1\/3, 1.3, 1, 0.1 in descending order.\nAnswer: 1.3, 1, 1\/3, 0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -11. Let h be 10\/(-12) - (-8)\/(-12). Let m = -0.3 - -0.2. Which is the closest to m? (a) -2 (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + j - 2. Let a(h) = -2*h**3 - 20*h**2 + 16*h. Let l(b) = -2*a(b) - 12*f(b). Factor l(w).\nAnswer: 4*(w - 1)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4)*c)\/((c*c*(c\/(c*c**(-6\/5)*c))\/c*c)\/c)*c**(1\/3)*c**(-3) assuming c is positive.\nAnswer: c**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 12. Let i(s) be the third derivative of -s**6\/120 + 7*s**5\/60 + s**4\/24 - s**3\/6 - s**2. Let b be i(7). What is y(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -35502, 0.4, -96?\nAnswer: -35502","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*2)\/(sqrt(3) - (-2*sqrt(75) + sqrt(75) - sqrt(75))).\nAnswer: 8*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 204, 151, 4, -285, -764, -1481?\n\"Answer: -8*j**3 + j**2 + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 27. Let t be -1*4 + a\/(-4). Solve t*m - m = -3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493055.7 months in centuries?\nAnswer: 410.87975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 4 + 3)*(h + 2*h - h) + 1 + h - 1)*(3*h - h + 0*h)*(-11*h - 239 + 239).\nAnswer: -66*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -1.7. Suppose 0 = -t + 5*t + 20. Let o be (-2*1\/t)\/2. What is the nearest to j in -2, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100\/(-6))\/10*(-276)\/(-115).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01011 to four dps.\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 7:14 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 660 a factor of 6275056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 28, 180, 596, 1408, 2748, 4748, 7540?\n\"Answer: 22*n**3 - 2*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/4*(-5220)\/(-23925)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**3 - 277*u**2 - 4*u - 4. Let b(l) = l**3 - 2*l**2 - l - 1. Give -4*b(j) + q(j).\nAnswer: j**3 - 269*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-6) - 2)*8\/(-4). Suppose p*n - 87 + 15 = 0. Calculate the remainder when (0 - 47*-1)\/1 is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 791*f**6 + 2*f**3 - 2238*f**2 wrt f.\nAnswer: 94920*f**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143857*f = 143863*f - 102 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2565 and 664335.\nAnswer: 664335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4))**30\/((b\/((((b\/(b*b\/b**(-1\/19)*b))\/b)\/b)\/b)*b)\/b)**6 assuming b is positive.\nAnswer: b**(-2235\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 t when three letters picked without replacement from {p: 1, o: 2, a: 1, t: 2, j: 7, z: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 15. What is the remainder when 60 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 66*f**2 - 6*f - 1. Let t = 333 + -341. Is k(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41109 or 43959?\nAnswer: 41109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9889257.\nAnswer: 3, 7, 17, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20057 - 20057.01. Let b be (15\/8)\/(-1) - -2. What is the third biggest value in b, z, -9\/5, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -3.6. Let v = f - 3.6. Suppose -2*s - 15*s - 10*s = 0. Which is the biggest value? (a) s (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w - c + 19, -13 = -w - 4*c. Let z = -7 + 10. Calculate the greatest common factor of w and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3299918 - 0.33. What is q rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000136561 rounded to 6 decimal places?\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 133310213 (base 5) to base 10\nAnswer: 681933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/94926 and -25\/10953.\nAnswer: 284778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, 2\/27, -2\/23?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a day in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 821*z**4\/2 + 3601*z**3\/6 + 4496*z. Find the second derivative of j(t) wrt t.\nAnswer: 9852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*-3*2*3\/(-120).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 7*g**3 - 5 + (2*g**2 + 1 - 1)*(g + g - 3*g) - g**2 + g**2 + 2*g**3 + (-g**2 + 1 - 1)*(0*g + 0*g - g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 1. Let j(r) = -31*r - 11. Let u(g) = 6*g + 2. Determine w*j(q) + 11*u(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -4 + (-8916)\/(-21) + 40\/(-70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-11) - (-3393)\/(-2574)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2251.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = 5*n, s = -4*s - 10. Do n and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a centimeter?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -9*k**2\/4 + 33*k\/8 + 3\/4 = 0.\nAnswer: -1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/580 and 81\/580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:23 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 - -1 - (-21)\/(-14). Which is the second smallest value? (a) -3\/8 (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271816 and 2440?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2690*u - 11. Is y(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*v + 12*v - 3115 = 0. Put -5, 1, v in ascending order.\nAnswer: v, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3\/12 - 83*h**2\/4 + 1692*h + 21284\/3 = 0. What is h?\nAnswer: -313, -4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.088 + 0.048. Let n = 0.76 + -0.8. Let j = o - n. Which is the closest to j? (a) 3 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 210669447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 236 = -194. Let c(g) = g**2 - 16*g - 36. Is c(h) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kffd when four letters picked without replacement from {d: 1, f: 4, v: 1, k: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21)\/1*6\/(-28)*12.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4539 + 2?\nAnswer: -4537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.39 and 3561?\nAnswer: 1388.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 883.33135 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/2 - (1 + -1). Suppose 0 = -u + 28 - j. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + -0.1. Which is bigger: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2*(-3)\/(-4). Let r be (-2)\/(-2) + -2 + x. Suppose 3*w + r*w = -10. Sort 0, w, -3.\nAnswer: -3, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 414005624 and 6902.\nAnswer: 2898039368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 3, 1536?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 28*i - 587. Let f be u(21). Let c(v) = -5*v**3 - 5. Let a(m) = m**3 + m + 1. Give f*c(b) + 3*a(b).\nAnswer: -2*b**3 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 7 - (2 - -1))\/((-1408)\/64)?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 5*k**2 - 5*k - 6. Let i be l(-3). Let j(y) = 2*y + 23. What is the least common multiple of 4 and j(i)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1313715 divided by -262743\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 h when three letters picked without replacement from {l: 1, v: 2, k: 3, b: 1, h: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-68) + 2160\/11424?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 3 + 0*y + 2 - 2*y. Let x(n) = n. Suppose 0 = -2*b - 5*o - 14, 0*b - 6 = 4*b - o. Calculate b*g(d) - 5*x(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/6*(-6)\/(-8). Let v = 0.9 - 0.3. Let g = -0.24625 + -0.05375. Put g, v, h in ascending order.\nAnswer: g, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1046, 3, 64 in ascending order.\nAnswer: -8, 3, 64, 1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36518, -36520, -36522, -36524, -36526, -36528?\nAnswer: -36530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 296 and 20.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/(-28))\/(54\/72)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -16 (b) -0.22 (c) -2\/3 (d) 0.1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/19)\/x*x**(13\/2)\/x*x*x*x**(-6\/31)*x*x**(-2\/5) assuming x is positive.\nAnswer: x**(38819\/5890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**3 + 16*o**2 - 16*o + 16. Let t be 12\/(-9) - 26\/(-6). Suppose -31 = 2*a + 1. Let w(r) = -r**3 + 3*r**2 - 3*r + 3. What is a*w(l) + t*y(l)?\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (141*g**2 - 2 - 2731*g + 2731*g)*(1 + 6 - 4) in the form f + v*g**2 + h*g and give v.\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -274 (c) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -4. Which is the smallest value? (a) -1 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1332*a. Suppose -72*m - 7034 - 6286 = 0. Let p(h) = 43*h. Give m*p(v) + 6*i(v).\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 + -10 + 2 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vne. Give prob of sequence evn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1178100230?\nAnswer: 2, 5, 117810023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 11*b + 12. Let j be d(-10). Suppose 0 = -j*c - 52 + 30. Let r(i) = -i**2 + 3*i + 5. Let s be r(4). Sort 5, s, c in decreasing order.\nAnswer: 5, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -16, -23, -32, -43, -56?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = w - 4*i, -w - 14 = -3*w + 4*i. What is the second derivative of 2*p + p + 5*p**2 - w*p**2 wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*v**5 + 4*v**3 + 0*v**5 + 1 - 3*v**3 + v**5 - 3*v**4 + 3*v**4 + (v - v + 2*v**2)*(2*v**3 - 3*v**3 + 2*v**3).\nAnswer: 11*v**5 + v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j - 32. Let l be c(-5). Suppose 5*d = 3*h + 1112, d - h = 4*h + 240. Suppose 12*v - l*v = d. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(6\/(-15))*-2. Suppose -y*l = -2*l - 6. Suppose -l*m - 8 = -3*o, -2*m + 16 = 3*o - 0. What is the lowest common multiple of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*q + 119, 4*q + 1 + 19 = 0. Suppose 108*v = m*v + 45340. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 13. Let g be m(-9). Let y = -9 - g. Let i = y - -24. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 44*m**2 - 438*m + 52. Determine h(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhjfllbhlhhhhll. What is prob of picking 1 j and 1 l?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 m, and 1 g when four letters picked without replacement from {k: 4, d: 2, n: 3, g: 2, m: 8, o: 1}.\nAnswer: 224\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4939896, 4939882, 4939868?\n\"Answer: -14*o + 4939910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3 + 2 - 5 + 0 + t. Let l be c(5). Sort 5, l, 3.\nAnswer: l, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let j be (3 - 44\/12)*-3. Let f(w) be the third derivative of j*w**2 + 0 + 0*w**3 - 1\/8*w**4 + 0*w. What is p(f(g))?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*b + 228 - 199, 3*y - 19 = -2*b. Calculate the remainder when 2766 is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 - 905*x**4 - 57035*x**3 - 1507135*x**2 - 17490280*x - 73498480 = 0. Calculate x.\nAnswer: -68, -17, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -136?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.692 minus -1.44?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2*l - 3 - 5.\nAnswer: 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -354.0924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 4*o + 571. What is i(26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10*s = 878 - 813. Let n(a) = a**3 - a**2. Let j be n(-1). Put s, j, -3 in increasing order.\nAnswer: s, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3371 is divided by 3152?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 185*p**3 + 610*p**2 + 480*p = 0?\nAnswer: -2, -48\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405548 (base 14) to base 5.\nAnswer: -1023303220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6146*o**3*s + 2*o**3*y - 2*o**2*s*y - o*s - 16733*s*y - 2*s wrt y?\nAnswer: 2*o**3 - 2*o**2*s - 16733*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5086403260 rounded to the nearest one hundred thousand?\nAnswer: -5086400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 12*a - 10 + 9*a - 4*a - 3*a + 2*a**2. Let d be h(0). Solve 0 = 4*s - 5*c + 22, 0*s + 4*c = 2*s + d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*q + 4. Solve 0*s - q*s = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.65149 to one dp.\nAnswer: 10.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q**2 + 3*q**2 + q**2)*(2*q + 4*q - 4*q) + 8263*q**3 + 7*q**2 + 8250*q**3 - 16541*q**3 as i*q**2 + c*q**3 + y + z*q and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.3 (c) 4 (d) -5 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13333217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 - f. Let u be p(1). Let r = 7 - u. What is the units digit of r\/(-24) + 31\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8131cabc + 1?\nAnswer: -8131cabb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c - 18*c - 2*c to the form a*c + t and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7558.354 rounded to the nearest ten?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*o - o = -35, 0 = -y - o + 27. Suppose -4*p + 9*p = y. Suppose 0 = c + 4*m - 6*m - 1, -p*c + 11 = -4*m. Solve i + c*i + 20 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18047297*w**3 + 9023718*w + 2 wrt w.\nAnswer: -108283782*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 51. Let x(o) = -t - 8 + 8 + 12*o**2 + 8*o + o**3 - 14. Let b be x(-11). Is b greater than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 404478752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkb when three letters picked without replacement from {k: 1, b: 1, q: 6, x: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/4*-2 - 10800\/(-760). Determine c, given that 4\/19 + 230\/19*c**3 - 100\/19*c**4 + 22\/19*c - a*c**2 = 0.\nAnswer: -1\/10, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 - 33003?\nAnswer: -33106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*s + 259*s = -294*s + 17034 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 0*l + 200. Let w = l - 54. Let a be (6\/w)\/(6\/(-4)). Is a < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-46)\/10 - (-15)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010339 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 231 (b) 4\/7 (c) -6\/137 (d) -3 (e) -0.1 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 22. Determine a(13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88 + 97. Suppose 4*x + 14 = -6, 0 = 2*t + 5*x + 17. Calculate the lowest common multiple of t and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*g - 4 = -31*g. Suppose 2*o = g*o - 4. Solve 2*p + 2*k - 2 = 0, 4*p - o*k + 0*k = -20 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 112, -4, -5 in ascending order.\nAnswer: -5, -4, -1, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1758, -1805, -1926, -2157, -2534?\n\"Answer: -6*w**3 - w**2 - 2*w - 1749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 + -3 + 12)*-1. Solve c*z = -z - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g - 5*q = -6*g - 8, 5*q = 3*g + 32 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**2 + 4*v - 24. What is the units digit of a(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 339, 239, 113, -27, -169, -301, -411, -487?\n\"Answer: 2*d**3 - 25*d**2 - 39*d + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77185, -77104, -77023, -76942, -76861, -76780?\nAnswer: -76699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -2. Let u = j - 10. Let p = 12 + u. Which is the closest to -2\/5? (a) 0.3 (b) 0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*z**5 + 94*z**4 - 44981*z.\nAnswer: 680*z**3 + 1128*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*c - 22. Let f be 14\/c + (2 - 6). Solve -1 + 4 = -5*u - 4*g, 0 = -f*g + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4792392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24081, -98084, -221465, -394218, -616337?\n\"Answer: p**3 - 24695*p**2 + 75*p + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12572431 is divided by 87?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-5*(-3 + (2 + sqrt(704) - sqrt(704))**2*3).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrryryyrrr. What is prob of picking 1 r and 2 y?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29016865\/282 + -102897. Find the common denominator of -58\/27 and g.\nAnswer: 2538","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1341)\/4917)\/(27\/2574)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 14*t + 12. Let b(f) = 3*f**2 + 15*f + 13. Let h(z) = 4*b(z) - 5*p(z). Let w be h(13). Suppose 617 - w = n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 0*m + 2*m - 3*m + 3*m + 3*m + 2 + 2*m - 2 - 2*m - m + m + (-m + m - 7*m)*(0 + 2 + 0).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230420 - 568780. Round a to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*p**4 + 29615*p**3 - 29455*p**2 + 310*p = 0.\nAnswer: 0, 1\/94, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -48. Let p = f - 24. Suppose -z + 3615 = -0*z + 5*v, 9 = p*v. What is z rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 316376067065.\nAnswer: 316376067065.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367721?\nAnswer: 367721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1, -2\/103 in increasing order.\nAnswer: -1, -1\/2, -2\/103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 151*b**2 + 8*b - 5. What are the prime factors of j(6)?\nAnswer: 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8 + 5*w**2 - 1883*w**3 + 1884*w**3 - 11*w + w. Give o(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in years?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 4:54 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 389461037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 12:05 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3288 - -4722. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q + 65. What is r(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 28*m**2 - 90*m - 93. Let c be b(31). Let h(y) be the second derivative of -5\/12*y**4 + 1\/20*y**5 - 15*y + 2\/3*y**3 + c*y**2 + 0. Factor h(o).\nAnswer: o*(o - 4)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00216 to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3541 - -14167\/4. Which is the third biggest value? (a) h (b) 0.064 (c) 6 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 1 = -7. Let t = w - -2. Suppose -2*j = -t*j - 16. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 31*l + 60. Let s be u(29). Calculate the highest common divisor of s and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7637 (base 8) to base 14\nAnswer: -1659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 55851 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/(-26) + (-1195)\/(-2). Let n be b\/13 - 6\/2. Let i(w) = -w**3 + 3*w**2 + 11*w - 6. Let d be i(5). Sort n, d, 0 in increasing order.\nAnswer: d, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-163 + 123 - 103)*(2*t**4 + 2*t**4 - 6*t**4 + (-3 + 2*t + 3)*(-t**3 - 2*t + 2*t) - 19*t**4 - 10*t**4 - 23*t**4).\nAnswer: 8008*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 173711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3685597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*-1 - (-37910)\/1561.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26*h**2*x - 21*h**2 - 2*h*x + 126*x - 24 wrt h.\nAnswer: -52*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/16 - 185\/112. Let t = d - -5\/7. Factor -3\/4*f**2 + 1\/4*f**4 - 5\/4*f - t + 1\/4*f**3.\nAnswer: (f - 2)*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -136.1. Let l = v - 9. Let g = 1.5 - 1.1. Which is the fourth biggest value? (a) l (b) g (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q + 2*i = 22*q + 21, 0 = 4*q - 2*i + 18 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + 69*h + 4. Let c(a) = -17*a**2 - 203*a - 12. Calculate 2*c(i) + 7*o(i).\nAnswer: 8*i**2 + 77*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1623533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 + 69\/12. Suppose -g = 2, -3*g = c - m*c + 62. What is the remainder when c is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 5 = 6*d - 9*d, -16*w + 16 = -4*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983.977mg in nanograms?\nAnswer: 8983977000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 11549*k - 25 + 192*k + 13 in the form g*k + w and give g.\nAnswer: 11741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 655 + 5585 = 24*x. 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 greatest common factor of 45 and 1215?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -0.3, 1\/25, -4?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 180 = 3*z. Suppose 2*l - 5*o = z, -2*l + 4*o = -6*l + 128. Suppose -4*m + 60 = -l. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -311 + -65?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.057 - -0.167. What is the third smallest value in -0.1, 0.14, o?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*c - 71*c + 4*b - 532, -4*c = b - 538. Suppose 4*k + 12 = m + 3*m, m - 3*k = -1. What is the greatest common divisor of m and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -18, -31, -50?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 254\/3 + -84. Let q(z) be the first derivative of 2 + 3*z - s*z**3 + 0*z**2. What is the first derivative of q(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7563896828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -40. Let p be (a\/(-25))\/(2\/(-15)). Let j be (2\/p)\/((-2)\/(-6)). Which is smaller: -2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -698*z + 13283. Determine b(19).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and 6?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -140024022 (base 5) to base 16\nAnswer: -ac177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 69.19 (b) 0 (c) -0.1 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:05 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, 3, 3\/13, -1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 52, -3, 1.\nAnswer: -4, -3, 1, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 4*n**2)*(-5 + 3 + 4)*(n - 6*n + 3*n).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/5*k**2 + 0 + 1\/5*k = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 1136.\nAnswer: 7952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204.413 rounded to zero decimal places?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*j - 155038 = 0, b - 97*j - 38753 = -95*j. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihhi when four letters picked without replacement from iiiiihhiiiiii.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134 and 16?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 895 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37338330 minus -101090?\nAnswer: 37439420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138920, 277870, 416820?\nAnswer: 555770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 1133*r**3\/7 + 122362*r**2\/7 - 249476*r\/7 + 440\/7 = 0?\nAnswer: -110, 2\/1133, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 355 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.26607 + 124.49607. Let x = q + -126. Round x to one dp.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (-2 - 16)) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/(29 - 2))\/(-4). Determine c, given that l + 1\/6*c**2 - c = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8966 - 4848. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**5 + 0*t**5 - 3*t**5 + (t**2 - 2*t**2 + 0*t**2)*(6*t**3 + 2*t**3 - 2*t**3).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25.774 and -7117220.\nAnswer: -7117194.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4945.\nAnswer: 5, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -1\/3*q**3 - 44\/3*q**2 + 139\/3*q - 94\/3 = 0.\nAnswer: -47, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + (3 - 20) - -6) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 20. Let m be 3\/9*(5 + 1 + 15). Calculate the greatest common factor of m and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*l - 5*m + 1333 = 490, 7 + 7 = 4*l + 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 10*b - 7 + 1 - 11*b**2 - 21. Let j be l(11). Suppose -56 = -3*m - 2*v, 3*m - 7*m = v - j. What is the highest common divisor of 176 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -39. Let w = 4 - -101. Calculate the highest common divisor of w and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*285649.\nAnswer: -1142596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/((-2)\/(24\/30)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 783*-6674\nAnswer: -5225742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**8\/336 - 7*q**5\/60 + 3*q**2\/2 + 4*q. Let l(r) be the first derivative of c(r). Find the third derivative of l(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*47\/(-1410)*1840\/69\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -650 - -651. Let x be -1 - 2 - j - (12 + -28). Solve x*z = 10*z - 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*q + 897, -h - 3*h = 4*q - 1180. What is the hundreds digit of 1 + 2 + q + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 205390199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3776, -7563, -11372, -15209, -19080, -22991, -26948, -30957?\n\"Answer: -p**3 - 5*p**2 - 3765*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -4, 4*i - 5*y = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -11*t + 197. What is the lowest common multiple of j(13) and 120?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + 183398*a**3 - 182481*a**3 + a**2 + (-2*a**2 + 0*a + 0*a)*(-a + 0*a + 0*a) + a + 2*a**3 - a - 4*a**3 + 5*a**3 - 2*a**3.\nAnswer: 920*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/3 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (5*sqrt(72) + sqrt(72))\/(sqrt(9) - sqrt(99)\/(sqrt(88)\/sqrt(8) + sqrt(11))).\nAnswer: 2 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 375814*z**2 - 304582*z wrt z.\nAnswer: 751628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -232?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -5 (c) 0.3 (d) -3\/8 (e) -77\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.3 and 45316.\nAnswer: 45317.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19b12 - -5?\nAnswer: 19b17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a centimeter in micrometers?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2050548?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 238135021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 13 - 8, -5*z + 39 = s. Suppose z*q = 4*h + 9*q - 231, 0 = h - 4*q - 45. What is the highest common divisor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/15 + 689\/(-3). What is a rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1) + (-16 - -18).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 36628034 to the nearest ten thousand.\nAnswer: 36630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -564 + 3946\/7. Which is the nearest to 1? (a) -4\/5 (b) -2\/9 (c) -1 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2861 - -863.8. Round o to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -36e30e41 - -2?\nAnswer: -36e30e3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1679505 rounded to 2 dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 200\/45*561\/(-935)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 r when four letters picked without replacement from {r: 8, w: 2, x: 2, l: 2}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*t - 688*t**3 - 3819*t**3 + 961*t + 711*t**3 wrt t.\nAnswer: -22776*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, 17, -88, 1, -2.\nAnswer: -88, -48, -3, -2, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1) - (-27)\/(-18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2*n**2 + 3*n**2)*(-5*n + 5*n - 2*n**2) + 13*n**4 + 17*n**4 - 14*n**4.\nAnswer: 14*n**4 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*l = n - 4, 7*n - 26 = 3*l + 3*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/519350 and 2\/423.\nAnswer: 4674150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqqqooxqo. What is prob of sequence xoo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 + 50 + 55 + 39 + 134)*(-23*d**2 - 12*d**2 - 23*d**2).\nAnswer: -20358*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155232859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*t - 3*d, -2*d + 29 = 4*t - 7*d. Is t\/48 + (-175)\/(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132 - 227. Which is the biggest value? (a) 2 (b) t (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 - -1111110010001110?\nAnswer: 1111110001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14779219 * 2\nAnswer: 29558438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11832.19ug in nanograms?\nAnswer: 11832190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 285 = 5*h, -4*h + 175 = 2*n + 55. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 5*h + 10220 = 10235, 0 = -15*x - 5*h - 0*h + 25 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) 1\/3 (b) 0.4 (c) -1\/10 (d) -1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3939 = 4*k + v + 3977, 0 = -24*k + 5*v - 250 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ickkkiokwkickkkkkcw. What is prob of sequence ck?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -498 + 0*t**3 + 490 + 7*t**3 + 26*t**2 + 20*t.\nAnswer: (t + 2)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*p + 14, -p + 6 = 2*s - 2*p. What is the tens digit of ((-2)\/s)\/(7\/(-1918))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122200 + -1002011?\nAnswer: -1201211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -3183724000 to the nearest one million.\nAnswer: -3184000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43, 99, 207, 373, 603, 903?\n\"Answer: n**3 + 20*n**2 - 11*n + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9*j = 18*j. Let h(w) be the third derivative of 0*w + j + 0*w**4 + 13\/120*w**6 + 2*w**3 + 10*w**2 + 0*w**5. What is the derivative of h(g) wrt g?\nAnswer: 39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 436, 400, 340, 250, 124?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/15 - -2 - (-98)\/10. Solve -c*l - 140 = -90 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l + 2. Let d be x(-2). Let f be d\/(-3)*2\/4. Suppose 4*h - 8 = 4*o - 0, 2*o + 2 = 0. Which is smaller: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m. Suppose j = -25*d + 29*d - 10, 0 = 3*d - 9. Let c(l) be the first derivative of 0*l + 0*l**j + 3 + 1\/3*l**3. Determine c(u(p)).\nAnswer: 64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + -59 + (21 - 18\/63*7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 2*d)*(-3 - 4 - 15)*(-53 + 53 + 21*d).\nAnswer: -462*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 18854*k - 18855*k + k**2 + 0*k**2. Determine s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + -1 + 5)**2.\nAnswer: 8*sqrt(5) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 38 = 88. Let n be 20\/6*l\/(-12). Suppose -5*f + n = g, 2*g - 3*f + 0*f = 10. What is the second biggest value in 4, -2\/25, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-26) + (-7570)\/(-195). Let x = y - 38. Suppose -4*m + 3*h = m - 4, 2*m + 8 = -2*h. Which is the biggest value? (a) m (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16)\/(-1)*-24\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38084\/15 - 2543. What is the common denominator of n and 59\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*f - f**3 + 3*f**3 + 4*f in the form y*f**2 + k*f + u + s*f**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2955118 divided by 1477559?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81.913 - 83.6. Let p = -173.387 - r. What is p rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 c when three letters picked without replacement from yczc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/((-44)\/(-550)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87374336 to the nearest integer?\nAnswer: 9347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**8\/12 + 388*v**7\/105 - 21*v**6\/10 - 194*v**5\/15 + 28*v**4\/3 - 169*v**2 + 2. Suppose w(h) = 0. Calculate h.\nAnswer: -28, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38*-1)\/(103\/((-39243)\/254)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + 3*m**3)*((2 - 7 + 3)*(2 - 6 + 2)*(2 + 19 - 1) - 3 + 4 - 4).\nAnswer: 231*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -9a8?\nAnswer: -9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 4, -9, 2360, 3 in decreasing order.\nAnswer: 2360, 5, 4, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-2 - (-63)\/6). Suppose -x - 3*m = -n - 8, -5*x - 3*m = -65. Let v = x + -5. Let t(z) = -z**3 + 4*z**2 + 2*z + 6. Give t(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -107*s**2 + 5478*s - 582. Calculate p(51).\nAnswer: 489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7636139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 257*j**2 - 559*j - 12493. Determine t(-255).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914 a factor of 92166756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72, 3\/26, 0.4, -53, -3.\nAnswer: -53, -3, 3\/26, 0.4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.9 - 16. Let s = -44\/65 - -2\/195. Let w(p) = -p**2 - 32*p - 31. Let a be w(-1). What is the third smallest value in b, a, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 2:42 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 283 + -64. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(-1 + 2 + 0)*(3*n**3 + 3*n - 3*n + 95*n - 95*n + 3*n**3 + (-2*n + 1 - 1)*(1 - 1 + 2*n**2)) to z*n + j*n**2 + b + m*n**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 967, 969, 971, 973, 975?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - ((sqrt(1216) - (4*sqrt(1216) + sqrt(1216))) + 2 + sqrt(1216))**2) + -3 + (-6*sqrt(1216)*3*-5)**2)*-1.\nAnswer: -9838649 - 104*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 372713 and 19922111.\nAnswer: 12023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4959040, -9918093, -14877146, -19836199?\nAnswer: -24795252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1311 and 228.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.46 less than 24133401826?\nAnswer: 24133401793.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43179*q**2*r + q**2 - 2*q*r + 2*q + 10831 wrt q?\nAnswer: -86358*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t + 12833 = -3*r, 4*r = -4*t + 25636. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/9 - 2*d**3\/3 - 26*d**2\/9 + 34*d\/3 - 8.\nAnswer: 2*(d - 3)**2*(d - 1)*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (117 + 1)\/(3 - 1). What is the first derivative of t*p**2 - 47 - 34 + 35 wrt p?\nAnswer: 118*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*3\/3*0\/(-63).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7)\/i*i**1)**19*(i**(-6)\/(i\/(i\/(i**(-2)\/i))))\/(i**(1\/5)\/i**(-2\/3)) assuming i is positive.\nAnswer: i**(-976\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 4173?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, e: 7, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 5*g + 2*g + 255, -5*g - 279 = -3*b. Let c(s) = -2*s**2 - 18*s - 28. Let r be c(-6). What is the greatest common divisor of b and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2792?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - z**2 - 1. Let q(g) = -94*g**4 - 7*g**3 - 3*g**2 + 8*g + 4. Let a(c) = -q(c) + 3*x(c). What is the second derivative of a(j) wrt j?\nAnswer: 1128*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u. Suppose -4*s = -3*g - 6 + 27, -3*g = -3*s - 15. Let n(h) = 2*h. Let j(o) = s*z(o) - 4*n(o). Let f(q) = -4*q**2. Determine f(j(x)).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 8. Suppose 10 = p*k + 1. Find b such that -2*b**2 + 4*b + 1 + 3 + k*b**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110022100010201 (base 3) in base 5?\nAnswer: 3133311132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2*v**3 - 2*v**2 - 7. Find the second derivative of w(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**4 - 2231*o**3 - 1234248*o**2 + 11271680*o - 10035200 = 0.\nAnswer: -1120, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -26214 and -12\/35 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5400433002.\nAnswer: 2, 3, 900072167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 5481?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeaebaeab. What is prob of picking 2 e and 2 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 54*s**2 + 2*s + 23. Is v(25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 34*p - 8. Let q be t(-10). Suppose -i + 3 = 1, 0 = -4*v + 2*i + 524. Let s = q + v. What is s rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*p + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 1, l: 1, v: 1, h: 1, g: 1}. Give prob of picking 1 u, 1 g, 1 h, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-3*sqrt(10)))\/(1*sqrt(6)*-3).\nAnswer: sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 954 and 2669451.\nAnswer: 16016706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 4*c + 6 = -3*d, 3*c = 4*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 2\/3*z**3 - 6*z + 0*z**2 + 0. Let q(c) = -7*c - 3 + 6*c + 3. Give q(t(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3\/(o*o*o**7\/o))\/(o\/(o*o**(2\/11))*o**(1\/2)) assuming o is positive.\nAnswer: o**(-117\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -1147 + 46. Suppose 798 = 164*y - 2264 - 710. What is the remainder when j is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {u: 7, s: 1, e: 1, a: 5, o: 2}?\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 4:39 AM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-24))\/((-58)\/18 + 3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669752 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 341 - -e72?\nAnswer: 12b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 2*y**4 - 6*y**4 + (3 - 1 - 4)*(y**4 + 10*y**4 - 7*y**4) + (3*y - 2*y - 4*y)*(-2*y**3 - 3*y**3 + 6*y**3) - 2*y**4 + 4*y**4 - 4*y**4.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 71*p**2 - 69*p + 74. Calculate b(-70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/118220 and -17\/70932.\nAnswer: 354660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20125*c**3 - 20143*c**3 - 423*c + 423*c + 40269*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7*x**3 - 2*x**2 + 1. Let f = 12 - 17. Let n be 3\/f + (-10)\/25. Calculate w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4918*k**2 - 93*k - 173. Let m be t(-2). What is m rounded to the nearest 100?\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 3*x + 47*x - 195 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*k + 589 = 127 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7025.468 nanometers in meters?\nAnswer: 0.000007025468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18332 - -39025. What is the thousands digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21460\/(-259))\/(-29)*(-7)\/(-1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -n**3\/3 + 4*n**2 - 3*n - 177. Let s(k) = -7*k - 6. What is the smallest common multiple of p(7) and s(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -24*h + 6. Suppose -2*o - 5 = -13. Solve -c - k = 3*c - 3, -o*k - 20 = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2498 = -56*k + 21806. What is the greatest common divisor of k and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475, 470, 465?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7142 - -49901\/7. Let r = 13 + n. Let f = 49 + -48.8. Which is the third biggest value? (a) 1\/13 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**3 + 84*w**3 - 27*w**3 - 33*w**3.\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + 13. Let p = 85 - z. What is the closest to -0.1 in -3, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-7.323675\nAnswer: -0.65913075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 553*s**2 + 1142*s + 325764. Give i(-554).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -25.1?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1023*k**2 + 532*k**2 - 1046*k**2 - 35*k**2.\nAnswer: -1572*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-108))\/(1\/4). What is the third smallest value in -3, 8, -1\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 7*o**2\/2 + 12452. Let b(k) = -2208*k - 1. Calculate b(t(d)).\nAnswer: -15456*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 550 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.7 - -14. Put 0, -3\/7, s, -5 in increasing order.\nAnswer: -5, -3\/7, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/516 + 173\/516. Which is the nearest to 1? (a) 8 (b) t (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 19 = -99. Suppose x = 6*o - o. Factor 0 + 0*m - 2\/3*m**3 + 0*m**2 + 2\/3*m**o.\nAnswer: 2*m**3*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-240)*-10*(-8)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-553)\/(-3476) - (-1)\/11. Let g = -0.98 - -1. Let y = -2.6 - -2.4. What is the closest to p in g, 0.3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10 + z**4 + 387*z**5 + 24*z**2 - 380*z**5 - 13 wrt z?\nAnswer: 420*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 9) to base 7.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/27)\/(19\/((-342)\/16))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z**2 - 11*z - 5. Let c(i) = i**2 - 5*i - 2. Let g be (-2)\/(-7) - 156\/(-42). Let p(q) = g*x(q) - 10*c(q). Factor p(a).\nAnswer: 2*a*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20262, 40524, 60786, 81048, 101310, 121572?\nAnswer: 141834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 - 63 - (-85 - -12)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/((-4)\/(-422080)*20)?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z. Let k(m) = -104*m + 6. Let f(s) = -k(s) - 5*x(s). Let t be f(-2). Let v = 39 - t. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 34*n - 46 + 12*n + 8*n. Let c be m(-8). Solve -5*l = 4*f - 20, 3*f + 0*f - 15 = -c*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 572812128 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2749713 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 j when three letters picked without replacement from {a: 2, j: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/(-3) + (-830)\/(-50)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 5, -0.011, 20?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + 4. What is the lowest common multiple of f(-7) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 7*c + 650 = 2909. What is the greatest common factor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/12 (b) 4\/7 (c) -332\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-99)\/27)\/(1\/(-234)) is divided by 129\/2*(-568)\/(-426).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.329 - 21841.7.\nAnswer: -21841.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -286 - 11*c**3 + 5*c**3 + 2*c**3 + 2*c**3 - 267.\nAnswer: -2*c**3 - 553","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 226611088*s - 453222192.\nAnswer: 4*(s - 56652774)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 129805275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2) + (6 - 10). Is o < 2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5187 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 4)*(-1 - 30\/(-21))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130079, -122721, -115363, -108005, -100647?\nAnswer: -93289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108231 and -26179.\nAnswer: -134410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(24)\/sqrt(4)) - ((sqrt(112))**2 + 0 - sqrt(7)).\nAnswer: -112 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + ((-1 + (sqrt(252) - 1*sqrt(252)) + (sqrt(252) - 1*sqrt(252)) + 3)*2)**2 + -3).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*l + 5*l = -69*l - 759 + 4819 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - m**2 + 2*m - 15. Let g be j(0). Is 3\/(g\/5) - -4494 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + -13 + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4 + 9864*j**3 - 15131076*j**2 + 6791269048*j + 6806409990 = 0.\nAnswer: -1, 795, 2069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25061135.\nAnswer: 5, 11, 59, 7723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5951783.\nAnswer: 31, 37, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 10647?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/2 - 37*n + 43. Let a(d) be the first derivative of k(d). Let f(t) be the second derivative of t**4\/2 + t. Give f(a(u)).\nAnswer: 54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-54))\/((-1032)\/60372))\/(4\/(-6))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*t + 60*t + 720 - t**2 - 720 to u*t + g*t**2 + f and give u.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 24, -4, -1, 478\/89?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2718614507 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5504 divided by -344.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6942)\/27768*((-835)\/90 - (-6)\/(-27))?\nAnswer: 19\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-6 + -6 - (-2 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6735.5 and 8.\nAnswer: -6727.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((5 + (-363)\/66)*1*-15)\/(-12)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 8\/15, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.7 + -632.4?\nAnswer: -680.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -150 + 138. Let q be o\/(-21) - 408\/(-21). Solve 3*u - 3*w = w - q, 4*w = 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 166 + -175. Let b be -1 + ((-3)\/(-2))\/(f\/(-582)). Calculate the greatest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 25*a + 120. Let r(v) = -2. Let f(c) = 5. Suppose 0 = 7*k - 3*k - 12. Let b(p) = k*f(p) + 7*r(p). Let s(t) = -2*t. Give a*b(g) + s(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0)*4\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183836 at most as big as -8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, z: 5, p: 3}. Give prob of picking 1 p and 2 z.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -998.864563 rounded to 1 decimal place?\nAnswer: -998.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 8*i + 6. Give d(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-1*sqrt(10)) + 2*sqrt(36)\/sqrt(2))\/(sqrt(576) + ((sqrt(576) - -1*(sqrt(576)*-1 + sqrt(576))) + sqrt(576) - sqrt(576))).\nAnswer: sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19165901155.07 - 0.2.\nAnswer: 19165901154.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*z + 8 = 0, 3*a + 5*z + 1 - 2 = 0. Suppose 0*k - 3*k = -63. Calculate the greatest common divisor of a and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9423459 and -50\/103658049.\nAnswer: 103658049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-2))\/(36\/((-6912)\/(-96))*(-1)\/(-17))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*f - 1224*f + 17435 = 1431*f - 98197 for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:05 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4\/8 + -2 + (-10222)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 7*u. Let j be 7\/21*6 - (u - 3). Suppose -4*a - q = -0*a - 23, -2*q = -6. Solve 3*b + 30 = 8*b - j*i, -a*i - 20 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107.84 + -108.14. What is the closest to -2\/3 in 2\/173, d, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353301?\nAnswer: 1353301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6578656*b + 6578656*b + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2753, -11025, -24811, -44111, -68925?\nAnswer: -99253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 5:12 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -28, -46, -64, -82, -100?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121922 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.031 in 4, -4, -0.2, 0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2314781 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53570*y - 53570*y - 84 = 3*f, 5*y - 31 = 2*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/377 or 1?\nAnswer: 2\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 709?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + j**2 + j + 1. Let b = -14293 - -14297. Let g(x) = -7*x**3 - 4*x**2 - 2*x - 10. What is b*w(l) + g(l)?\nAnswer: -3*l**3 + 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1740*g**3 - 1778*g**3 + 3522*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 669\/(-446)*(-2 + 1039784\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -346.205 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -7*j**2 - 3. Let o(i) = 27*i**2 + 13. Give -2*o(m) - 9*w(m).\nAnswer: 9*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 125*w**3 + w**2 + 55*w + 54. What is a(-1)?\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 42*n**2 + 65*n + 5622. What is p(-43)?\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -39260.\nAnswer: 153\/39260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6644*x = -6410*x - 936. Let n(b) = -1 + 0*b**2 - b**3 - b + 0*b**2. Let g(r) = -4*r - 3. Determine x*n(i) - g(i).\nAnswer: -4*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 12420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -8, -5, 0, 1462, -4 in descending order.\nAnswer: 1462, 5, 4, 0, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299492, -299481, -299466, -299447, -299424, -299397?\nAnswer: -299366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1.1 (b) -3 (c) 13925\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a. Let u = -5 + 8. Suppose 4*z - 2*l - 12 = 3*l, l + u = z. Let n(v) be the first derivative of -v**2 - 2*v - 1. What is z*s(p) + n(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17540877 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4.4 (b) 0.5 (c) 2 (d) 0.098\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -11. What is the common denominator of 125\/6 and (1\/8)\/(i\/332)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j - 8. Let n be i(3). Let s be 9 + n - (2 - 295). What is the greatest common divisor of s and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*i**2 + 52*i**2 - 60*i**2 + 10 + 0*i**3 - 2*i - i**3 to the form r + c*i**2 + y*i**3 + k*i and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-9)\/96)\/((-27)\/(-36)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 10 = -6*l. Solve 4*d + 4*s = 16, -l*d + 5*d = 4*s - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2 - 5\/2*b**2 + 1\/2*b**3 + 7\/2*b.\nAnswer: (b - 3)*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -20, -6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 x when three letters picked without replacement from puattptattttpuxuax?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 70 or 212\/3?\nAnswer: 212\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 28 + 8 = 0. Let x(q) = 5*q**3 - 2*q**2 + 7*q - 4. Let j(f) = 8*f + 2*f + f + f**2 - 15*f + 2 - 3*f**3. What is z*x(d) + 7*j(d)?\nAnswer: -d**3 - d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 + 5*t - 2. Let r be g(-2). Which is the closest to r? (a) 1 (b) 17 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w - 6. Let b be u(5). Calculate the greatest common factor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by -328.\nAnswer: 14\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(228)\/sqrt(192) - sqrt(19)) + 5 - sqrt(1216)*-2*-5*-4) + 0.\nAnswer: 6 + 323*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 0*q + 5*q + (3 - 7 + 3)*(-3*q - q + 6*q) - q + 0*q - q + 1 + 43 - 14*q - 43.\nAnswer: -15*q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 4)*(0 + 2 - 3) + 0 - 2 + 4)*(-782*d**5 + 26016*d**4 - 26016*d**4).\nAnswer: -782*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/25 of a millisecond?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 72. Suppose u = -x + 2*v + 23, -3*x - 4 + 75 = -4*v. What is the remainder when 122 is divided by x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/((n**(1\/5)\/n)\/n)*(n**(2\/3)\/n)**(-3\/2)*(n**(-2\/5)\/(n*(n*n*(n**(-4)*n)\/n*n*n)\/n*n*n))**(8\/3) assuming n is positive.\nAnswer: n**(-1\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -43772?\nAnswer: -3\/43772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 652140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -3*d - 47, -2*y - 67 + 73 = -5*d for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 64 - 16. Let x be 424\/a + 1\/(-3). Suppose 0 = 5*s + 5*w - x, -3*s + 2*w = -w + 3. Let u(y) = y**3 - 2*y**2 - 2*y + 2. Calculate u(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 10*d**2 + 11*d + 6. Let j be b(-11). Solve -o + j = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 92021.64g?\nAnswer: 92021640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/3 (b) 7\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1635*l - 1488 = -1627*l + 3200*l for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15911025+-1059\nAnswer: 15909966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -111 - -113. Suppose 25505 = z*n + 2*l + 5481, 5*n = -2*l + 50069. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2687378 is divided by 1038.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-18)\/120*5\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 311898192 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**4\/3 - 28*d**3\/3 + 122*d**2\/3 - 56*d = 0.\nAnswer: 0, 3, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 + 1 + t - 3 - 15*t**2 + 14*t**2. Let b be j(0). Suppose 0 = -4*w + 2*l + 46, 0*w - 4*l = -4*w + 44. What is the biggest value in b, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2\/6 - 176692*v\/3 = 0?\nAnswer: -353384, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -33*c**4 - 5*c**2 + 5*c - 93. Let p(g) = 49*g**4 + 8*g**2 - 8*g + 139. Let i(b) = 5*p(b) + 8*z(b). Differentiate i(h) wrt h.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/44 and -27\/155833304?\nAnswer: 155833304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 20*s + 9. Suppose -220*f = 72*f - 35*f - 514. Let q(g) = 4*g + 2. Calculate f*j(u) - 11*q(u).\nAnswer: -4*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 6*h**2 + 6*h - 4. Calculate the remainder when 10 is divided by j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187965.\nAnswer: 3, 5, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5245 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11076 is divided by 5523?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)\/(k*k**(-2\/3))*(k**(-1\/2)\/k)\/(k*k**(4\/7)) assuming k is positive.\nAnswer: k**(-457\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -110.2 * 39230\nAnswer: -4323146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + -10 + -6 + 34?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - (-37 - -34) - 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50466607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51 + 6*b**2 - 51 + (-2*b - 3*b + 4*b)*(23*b + 0*b + 71*b).\nAnswer: -88*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*l = 1586102 - 1636698 for l.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -5*z, 3*z + w - 21 = 5*w. Suppose -2*o - 6*t = -2*t - 54, t = o - 18. What is the highest common divisor of z and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 1. Let z(k) = k**3 + 5*k**2 + 1. What is the smallest common multiple of z(t) and (-5)\/10*16*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, j: 3, q: 3, z: 2, n: 1, h: 4}. Give prob of picking 1 d and 1 z.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*b = -2. Let a(p) = 49*p - 50*p - p**3 - 3 + 5*p**b + 4. Let i(x) = -7*x**2 + 21*x + 2. Let r be i(3). Calculate a(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+3996\nAnswer: 3996.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3691.00384 + -3693. Let l = h + 2. What is l rounded to four decimal places?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -133 - -95. Let i = m + 68. Suppose 5*b = -0*b + i. Calculate the highest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.667746mm in micrometers?\nAnswer: 9667.746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/1500593, 5, 12, 3 in ascending order.\nAnswer: -3, 2\/1500593, 3, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1023 divided by 93.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201210 + 1?\nAnswer: -20201202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 16 = 0, 307 = -3*g - 2*z + 3*z. Suppose -r = -3, -3*o + 2*r - 612 = -2*r. Let p = g - o. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Let n(g) = -g**2 + 10*g - 14. Let v be n(6). Suppose -7 = -v*i + 3. Solve i = 2*u + 7, -p*k = -2*u + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1037*p = -1028*p. What is the fourth biggest value in 2\/11, 25, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16015 (base 7) to base 2.\nAnswer: 1000101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 3*n**2 - 2*n + 2. Determine y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -249*f**2. Let n(m) = -2*m**2 - 4. Give a(n(t)).\nAnswer: -996*t**4 - 3984*t**2 - 3984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 109984134323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*h - 42*h + 80*h - h**4 + 2*h**2 - 3*h**4 - 3 to the form v + k*h**4 + y*h**2 + r*h**3 + o*h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2. Let x be 4\/(-28) + 310\/14. Let o(q) be the first derivative of 5*q**3 - 1. Give x*u(d) + 6*o(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6237)\/(-504)*(-8)\/(-3). Put 3, 5, -3, r in descending order.\nAnswer: r, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -116.9. Let q be (10\/4)\/((-620)\/(-186)). Let r be ((-1)\/4)\/((-3)\/4). Which is the biggest value? (a) -2\/5 (b) s (c) q (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(684) + sqrt(684) + 5)**2 + ((sqrt(133) + 1*sqrt(133) + sqrt(133))*-4)\/sqrt(7).\nAnswer: 108*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2 - 721*j - 1446 = 0.\nAnswer: -2, 723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 7 = -23. Let b = r + 14. Suppose 0 = 4*d + 2*v + 24, -v + 12 = 4*d + 30. Sort b, d, 5 in decreasing order.\nAnswer: b, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 401015 by 5.\nAnswer: 80203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 12*w**3 - 1 + 11*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2375, 9315, 20883, 37079?\n\"Answer: 2314*q**2 - 2*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 4*c**2 - 3*c**2)*(3 + 1 + 1)*(-53 + 53 + 46*c).\nAnswer: 460*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4453409 + 71305009\/16. Let n = d + -3148. Find the common denominator of 19\/14 and n.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 39*g**3 + 126*g**2 - 96*g - 672.\nAnswer: 3*(g - 2)*(g + 4)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 33 = 5*n, 3*n - 5 = -5*g - 0. Let 2*y**3 - 2*y**5 + 4*y**4 + 2*y**2 - 3*y**4 + y**4 - 4*y**g = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.032 - 0.098. Which is the third smallest value? (a) -2\/11 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50047 is divided by 7960?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 5:03 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -35582.\nAnswer: 35582.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2170280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (2\/(-6))\/(-15 - (-2010)\/135)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (168*12\/600)\/(14\/(-35))?\nAnswer: -42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -3*f + 6, 4*f + 221*j = 225*j + 28 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000995706 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11233.2 + 9828. What is m rounded to the nearest 10?\nAnswer: -1410","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*n = -1, 78*n - 80*n = -2*f + 20. What is the remainder when 35 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776674541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61851105 divided by -985?\nAnswer: -62793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 126\/11 - 2\/11*v**3 + 26\/11*v**2 - 102\/11*v.\nAnswer: -2*(v - 7)*(v - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 36149.\nAnswer: -18\/36149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/10*8\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + (-14 - (-20 + 13 + -10)) + -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 + -14 - (-3 + -2)) + 3 + (3 - 6)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/1219 - 3\/53. Which is the biggest value? (a) g (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9)**(-8) assuming d is positive.\nAnswer: d**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*h = -17, -4*h - 19 = 4*v - 3*h. What is the remainder when (-774)\/(-15) + (-2)\/v is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 415 = 5*i, -2*s + i = -2*i - 151. Let q = s + 239. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-234)\/18)\/91)\/(10\/900*3)\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 + 67 = o. Suppose f + 244 - o = 0. Let t(g) be the third derivative of -g**6\/40 - g**5\/15 - g**4\/12 + 2*g**2. Determine t(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 507020 and 8585.\nAnswer: 8619340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18024*c + 144121*c + 47256*c + 432403*c.\nAnswer: 605756*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-50 - -52)*36)\/(-2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 425 + 146. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c = -53 - 231 - 223 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - c + 18 = 0. What is k in -4\/7 + 2\/7*k**3 - 2\/7*k + 4\/7*k**c = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 37*x**2 + 77*x**2 - 89*x**2.\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = p - 2*k, -3*k - 15 = p. Let a = 51\/92 + -7\/23. Suppose 0 + p*l**2 - 1\/4*l + a*l**3 = 0. What is l?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 19 - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196) - sqrt(196)*2)\/((-2*sqrt(22))\/sqrt(11)).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one halves of a century?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097605716.\nAnswer: 2, 67, 7826887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5751229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5509, -22109, -38719, -55345, -71993?\nAnswer: -88669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -495 + 693. Suppose 31*d = 29*d - r. Let h = d - -139. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 86 = 32*a + 36*a. Let g be (2\/3)\/(3\/(-36)). Calculate the smallest common multiple of (g\/(-12))\/((-1)\/(-27)) and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1720*j + 16029 + 11013*j - j**3 - 16029 - 377*j**2 + 0*j**3 wrt j.\nAnswer: -6*j - 754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3707760 and 15120?\nAnswer: 33369840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1805)\/105 + 8\/6 + 572\/44\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p - 3. Let b be a(0). Let g be (2\/6)\/(1\/b) - -5. Let i(d) = 23*d**3 + 4*d**2 + 4*d + 7. Is i(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 50?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9192425 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -496*m**2 - 3. Let v(g) = -13*g**2 - 1984*g + 1984*g + 10*g**2. Determine v(f(r)).\nAnswer: -738048*r**4 - 8928*r**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g**2 - 5 + g - 11*g**2 + 6)*(-4*g - 4*g + 3*g)*(-3*g - 2*g + 3*g) to the form s*g + t*g**2 + n*g**4 + p + y*g**3 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 - 3*t**4 + 11*t**2 - 13*t**2 - t**3 in the form n*t**3 + g*t + h*t**2 + v + w*t**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -0.2, 5, -2\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -3*g - 4, -3*g + 4*t - 14 = 0. Let m be 1\/(g\/(0 + 4)). Solve 3*l - 2*q - 7 = 0, 3*l + m*q - 17 = 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + (-6)\/(-9) + 8\/(-12). Solve -2*z + p*z = 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f - 72. Solve -5*n + 6 = 3*x + f, 0 = 2*x - 4*n + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -478.5 and 30768570405.\nAnswer: 30768569926.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2239\/9 - 249. Let p = 22\/15 - 316\/195. Which is the second smallest value? (a) -4 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3719, -15522, -35201, -62762, -98211, -141554, -192797?\nAnswer: -251946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, 12, -10, 1, -11.\nAnswer: -11, -10, -9, -1, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 3*o + 1. Let r be j(6). Let k = 1 - -2. Let l(z) = -z**3 + 4*z**2 - z - 1. Let x be l(k). What is the greatest common factor of r and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -6408?\nAnswer: -19224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 - h + 2. Let p be v(-3). Suppose -96 = -5*u + 4*z, p*u - u - 2*z = 78. Is 2 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (-4 - -14 - 47).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 a when three letters picked without replacement from {a: 7, z: 6}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2020465\/5048 + 237\/631. Which is greater: -399 or h?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*d**2*r*y - 7*d**2*r - 4*d*r*y + 2*d*y + 652*r*y wrt d?\nAnswer: 6*d*r*y - 14*d*r - 4*r*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, d: 2}. Give prob of picking 2 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 - 66*r**2 - 198*r - 53. Is l(72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1646916100 rounded to the nearest one million?\nAnswer: -1647000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183758 is divided by 13116.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, u: 10, e: 1}. What is prob of sequence bub?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3124 divide 260655677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 13. Let w be g(-7). Let y be (5 - 1) + (4 - (-16)\/(-4)). Suppose 37 = y*s + 29. Put 0, w, 1, s in descending order.\nAnswer: s, 1, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.16738.\nAnswer: 0.008369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 - 16*h**2\/11 - 522*h\/11 - 504\/11.\nAnswer: 2*(h - 21)*(h + 1)*(h + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 19*o**2 - 51*o + 5. Determine d(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 31. Let g = z + 9. Let u = 124 - 123.8. What is the smallest value in u, 4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*4*(-3800)\/(-16). Let f be d\/285*((-5)\/2 + 1). Solve 2*b = f*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-20)*(-450)\/216*26\/(-65).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*l - 102 - 83 = 271 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125 by 1.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, w: 6}. What is prob of picking 2 e?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -g - 3*o, 2*g - 5*o + 42 = 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-21)*(-103 + (-40385)\/(-410))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5649, 11358, 17067?\n\"Answer: 5709*a - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 8. Let n be w(-6). Suppose 0 = -3*h - n*h + 42. Calculate the highest common factor of h and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63)\/14 + 2\/(-4). Let g = 9 + o. Suppose 4 = g*t - 6*t. Is -2\/3 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000071282 to seven dps.\nAnswer: -0.0000713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f + 6. Let g be s(-2). Solve g = 3*m - 3*u + 3, -1 = 4*u + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 65 = -0*p. Let c(v) = 2*v**2 - 8*v + 5. Let l be c(5). Suppose 12*a - l*a + 147 = 0. What is the remainder when a is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 + 0.2. What is the closest to 3\/8 in 1\/4, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.34 + 1.3. Let f = y - -0.03999936. Round f to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1521*y**2 + 21297*y - 42.\nAnswer: -3*(y - 14)*(507*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, -39, 1255, 5, -26, -3 in descending order.\nAnswer: 1255, 5, -3, -26, -27, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 61 = -5*g, -3*c + 7*c = -2*g + 40. Suppose -p = -4 - g. Let y be (8\/(-3))\/((-12)\/p). Solve -2*v = -5*q + 23, v + 3 - 11 = -y*q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 7*c + 4. Let r be o(-2). Factor 1\/5*x**r - 1\/5 + 1\/5*x - 1\/5*x**3.\nAnswer: -(x - 1)**2*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -2, -3, -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116899?\nAnswer: 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 + 68. Let o = 211 - y. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*i - d + 782, -i = -3*d + 388. Let m = -4330\/11 - i. Calculate the common denominator of m and 42\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 859 or 861?\nAnswer: 861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 425 - 425.5. Let j = 1 - 1. Let f = 0.1 + j. What is the closest to f in 5, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/120 - 11*s**4\/24 - s**3 + 6*s. Let w(n) be the second derivative of p(n). Differentiate w(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a + 10. Let n(z) = -4*z - 6. Let m(d) = 5*n(d) + 3*u(d). Let q(g) be the first derivative of 3*g**2\/2 + 3. Calculate 2*m(c) - q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 214\/3 + -72. Suppose -24 = -4*n + 2*j, -22 = -5*n - 3*j - 3. Let k be (-15)\/n + 2\/8*15. Which is the third smallest value? (a) k (b) t (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from {a: 1, e: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 860999, 860997, 860995, 860993?\nAnswer: 860991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -81067 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*t + 342 = 0, -2*t + 137 = 3*h - 408. What are the prime factors of h?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 27*t**2 - 19*t - 118. Give i(26).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjcc when four letters picked without replacement from {i: 1, f: 1, c: 2, l: 4, j: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5381, -2428, 5505, 20908, 46271, 84084, 136837?\nAnswer: 207020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 52. Let z be m(-22). Suppose z*a - 23*a = -432. What is the common denominator of ((-12)\/a)\/((-1)\/(-158)) and -121\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 643986.8mm?\nAnswer: 0.6439868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -4 - (0 + 6)) + 6 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -17.2. Let g = y - -2.2. Sort -2\/11, -2\/5, g.\nAnswer: g, -2\/5, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2\/7)*j**14*(j**(-4)\/j)**(-14) assuming j is positive.\nAnswer: j**(586\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123504*z**2 - 102360?\nAnswer: -247008*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14.6 - -3.7\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 111217050 + -10?\nAnswer: 111217040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249362, 249332, 249302?\nAnswer: 249272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-32)\/(-12))*2\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**3 + 12*x**2 + 7. Let s = 61 + -55. Let k be z(s). Suppose -456 = -5*b - k*b. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1648*y = -1551*y + 1455 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q. Let g(i) = 88*i - 28. Let a(b) = 16*b - 5. Let f(w) = 28*a(w) - 5*g(w). Give f(t(r)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**2*m*o**3 - 2917958*h**2*m*o**2 + 2*h*m*o**3 - 4*h*m*o**2 - 1098*m*o**3 - 19*m wrt h?\nAnswer: 4*m*o**3 - 5835916*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18019.38 micrograms to grams.\nAnswer: 0.01801938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 12:08 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v - 25. Calculate r(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let n(t) = t - 5. What is -3*m(w) - n(w)?\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 459 = -698. Let i = 222 - g. What are the prime factors of i?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((10 + -2 - 4) + -4)\/(-1). Let c(s) = -s**2 - s + 8. Let u be c(o). What is the greatest common divisor of 104 and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*k**2\/3 + 889192*k\/3 - 48064\/3 = 0 for k.\nAnswer: 2\/37, 6008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8286666 divided by 6\nAnswer: -1381111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 20 - 0. Suppose 7*y - 18 = y. Suppose -5*a = -4*m + 38, m + 14 = y*m - 5*a. Solve r = -2*d - 3*z, -2*z - z = m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -797 divided by -797.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/56 and -65\/1592.\nAnswer: 11144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 - 174. Sort p, -1, 4, 0.\nAnswer: -1, 0, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1022 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2463.9065 from 1.02.\nAnswer: -2462.8865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 7404*d + 37004. Give s(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -345145*o - 4141738. Give m(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1 - 240\/(-560). What is the closest to 3 in 3, 0.2, h, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 242659.4 millilitres?\nAnswer: 242.6594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - ((82 - 50) + -16).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -a**4\/4 - 4*a**3\/3 - a**2 + 3*a + 43. Give b(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 - 6*l + 331. Let c(j) = -2*j**2 - 2*j + 2. Give 3*c(v) - d(v).\nAnswer: 2*v**2 - 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15, -5, 15, 45, 85?\n\"Answer: 5*i**2 - 5*i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2065053 + 2?\nAnswer: -2065051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 4*s - 5*s)*(15 - 159*s + 43*s - 14) to the form n*s + u + z*s**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 2*f**2\/7 - 16*f\/7 + 32\/7 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 - -621631?\nAnswer: 621643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 2:28 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 445561 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**2 + 4*s. Let k(q) = -q**2 + 2*q - 4. Let o(c) = -6*c**2 + c - 8. Let r(z) = -2*k(z) + o(z). Give 3*b(d) + 4*r(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 5*h**2 - 87*h + 1. Let n(w) = -w**2 + 21*w. Calculate -2*l(s) - 9*n(s).\nAnswer: -s**2 - 15*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 a when three letters picked without replacement from vqvcvaqvmvvvqcvqqcm.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61733*g**2*x**3 + 218*g**2*x + g**2 - 11809577*g*x**3 - g*x wrt g?\nAnswer: 123466*x**3 + 436*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2 = -26. Let r be ((-20)\/n + -2)*-4. Let f(c) = -3*c**2 - 3*c - 3. Calculate f(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545077 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 3*l**6\/140 + 8*l**5\/105 - l**4\/21 + 39*l**2. Find i, given that p(i) = 0.\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 - 5. Let o be -4 + 11\/(-6) + 1\/(-6). Let u be b(o). Let x = u + 14. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**7\/6 + 64*k**6\/15 - 114*k**5\/5 - 320*k**4\/3 + 200*k**3\/3 - 2*k - 13. Solve s(j) = 0 for j.\nAnswer: -2, 0, 2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 9*u + 65. Determine w(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*t + 247 + 153 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16986.4 + 17000. Which is the second smallest value? (a) 0.3 (b) k (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 c when three letters picked without replacement from {g: 1, c: 12}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**5\/30 + 37*m**4\/6 + 1369*m**3\/3 + 49*m**2 + 23*m. Let x(i) be the first derivative of s(i). Suppose x(o) = 0. What is o?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 84. Let b = -24 - f. What is the smallest common multiple of 8 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 19. Solve -u = 2*u - f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/2 - 4*s**3\/3 - 6*s**2. Let g be a(-4). Calculate the greatest common factor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-48)\/(-280)*-7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g + 6. Let h(a) = 5*a - 5. Let y(o) = -4*h(o) - 3*z(o). Let k(d) = 4*d - 1. Let l(p) = 7*k(p) + 6*y(p). What are the prime factors of l(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**2 + 64*a - 105. What is b(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77)\/sqrt(7)*4 + sqrt(11) + -2*sqrt(33)\/sqrt(3) - (1 + ((sqrt(539) + sqrt(539) + -1)*-3 - sqrt(539)))))**2.\nAnswer: -14976*sqrt(11) + 1071360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103353, -413511, -930441, -1654143, -2584617, -3721863?\nAnswer: -5065881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/8 + 88148885*j\/4 - 7770225926743225\/8.\nAnswer: -(j - 88148885)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57959521293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xjuujra. Give prob of picking 1 j and 1 a.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 25443752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/6*-2*30. Suppose -3 + 3 = h*d. Suppose d = -4*t + 8*t - 96. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3408 by 4.\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(9 + -58) + 64\/(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -72.0828. Let j = q + -0.07. Round j to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 3. Let l be z(6). Let n = -29 - -32. Let v(r) = -n + 6 + 2 - 7 - r. Calculate v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**3 - l**2 + 2*l - 1. Let j be u(1). Suppose -2*s - 36 = 4*s. Put s, j, -2 in descending order.\nAnswer: -2, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76 or 28?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2027000 + 1 + 2. Let s = t + 3126996. What is s rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-6)*(-2)\/3. Suppose -18 = -5*d + d - 3*b, 5*b = d + q. Let n be (-22)\/6 + d\/(-9). Which is smaller: 2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*o = 348*o + 2502 for o.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*c**2 + 4 - 2*c - 22*c**2 - 5*c**4 - 13*c**2 as n + z*c**4 + g*c**3 + f*c + l*c**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0 (c) -56 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 - 6)*(-2 + m**2 + 2) - 2*m**2 + 3349*m**2 + 3208*m**2 - 693*m**2 - 558*m**2.\nAnswer: 5306*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26498?\nAnswer: 2, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1420 and 19610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4661, -4652, -4641, -4628, -4613?\nAnswer: -4596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 + -272. Put -2, 39, m in decreasing order.\nAnswer: 39, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*x**2 - 1 - 169*x**3 + 50*x**3 + 62*x**3 + 56*x**3 to o*x + d + n*x**3 + p*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630503817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3 = -0. Let o = 3 + k. Suppose o*u = u + 69. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1001?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3 + 992*v**2 - 14182*v + 49980 = 0.\nAnswer: -510, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2264396 to the power of 1\/2, to the nearest integer?\nAnswer: 1505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -226*8.30366\nAnswer: -1876.62716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19a749 + 13?\nAnswer: 19a760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 222, 1961, 3700, 5439, 7178, 8917?\n\"Answer: 1739*w - 1517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/(c\/(c*c\/(((((c\/(c**(-3)\/c)*c*c*c)\/c)\/c)\/c)\/c)*c)))**(-5\/2) assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 + 25*j**2 - 43*j - 69.\nAnswer: -(j - 23)*(j - 3)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1745 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-9\/2)\/s)**(-46))**48)**(-38) assuming s is positive.\nAnswer: s**(-461472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 64554616 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -420.4417 + 5.2317. What is l rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1930294505 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 3, -36?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 2*k + 12, -4*k + 14792*n - 14797*n + 66 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 314*q**3 + 3*q**2 - 9*q + 12. Let o be j(-4). Round o to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3. Let k = -5 + p. Let v = 0.3 - 0.4. What is the closest to 0.1 in k, v, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172 - -175)\/(11\/(-77))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-141)\/(-2)*(-13)\/((-195)\/(-10)). Let c = -52 - a. Let v be 5\/(c\/3)*6\/(-9). Solve 30 = 4*z + v*s, 28 = 5*z + s - 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = 26. Suppose 3*o = -2*j + 1, 32 = 3*o - 4*j + 7. Let h be (-1)\/o + (-319)\/y. Is h at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((1*sqrt(304) - sqrt(304))*2 - sqrt(304)) + (sqrt(304) - -5*(sqrt(304) + 0)))**2 - -3*((2 + sqrt(304))*-2 - sqrt(304))) + -2)*1.\nAnswer: -36*sqrt(19) + 7586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*i*m**3 + 13*i*m*p**3 + i*m*p**2 - 6*m**3*p**3 + 2*m - 6*p**3 wrt m.\nAnswer: 792*i*m - 36*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 69836 (b) 1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 3:59 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**4 - c - 21 + 4 - 2*c**4 + 8 + 11 + 202*c**2 in the form f*c**3 + j + i*c**2 + m*c**4 + g*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 + 3*b - 5. Let j be i(4). Let o = -3 + j. Does 6 divide o\/(-2*2\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1496, 3147, 4798, 6449?\n\"Answer: 1651*r - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 15*t - 2. Calculate h(9).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 + -22 + 107 - (-56 - 5).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -4, -7, 3940, 7, -2 in descending order.\nAnswer: 3940, 7, 1, -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l - 50. Let s be k(-8). Let o = s + -3. Which is bigger: -8 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5429*j**2 + 4902*j**2 + 7418*j**2)*(5 - 2 - 2) as x*j + o + s*j**2 and give s.\nAnswer: 6891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 15, h: 5}. Give prob of picking 2 b and 2 h.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*v - 3*i = 1754300 - 1753185, -v = -2*i + 1 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16757*w - 2135*w - 4338*w - 5164*w to the form k*w + o and give k.\nAnswer: 5120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209) - (-2*sqrt(209)*6 + sqrt(209)))*-5)\/(-3*(sqrt(11) - (sqrt(275) - (sqrt(275)*-1 - sqrt(275))) - sqrt(33)\/sqrt(3)*-1)).\nAnswer: -100*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.79048 millennia to centuries.\nAnswer: 857.9048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.387856 rounded to two decimal places?\nAnswer: 3.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 174454 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + 2)*(-p - 3 + 3) + 3*p**2 + p**2 - 7*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4168.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2124 and 164551.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 5.05. What is the closest to 0 in -0.3, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*m**3 + 1)*(15 + 5 - 2 + (2 - 2 - 2)*(6 - 1 + 1)).\nAnswer: -18*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1948 + 1884 + (1 + 0 - (12 + -8 + -16))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 585589976 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1131 + 1817. Solve 2*s + 684 = p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923674 is divided by 207?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**2\/2 - 18*h + 3696. Let n(s) = s - 1. Give k(f) - 3*n(f).\nAnswer: -2*f - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13774 + -9639. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7746 + 0.0954. Let a = p + -1.57. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(3\/11)\/((a**(2\/9)*a)\/(a*a*a*a\/a**(2\/9))))**32 assuming a is positive.\nAnswer: a**(7664\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.1404 * -0.1\nAnswer: 0.01404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 10*g + 4. Let f = -56 - -60. Let v = f - 6. Let l be 2\/4*22 + 4\/v. What is c(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 13 - 35. Calculate the lowest common multiple of (-2)\/6 + (-100)\/l and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -344, -345, -346, -347, -348?\n\"Answer: -p - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.42 + -2.58. Let w = 133\/8 + -15. Put 0, v, w in descending order.\nAnswer: w, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - -7) - (738 + -735).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*j - 2*t, 0 = 5*j - 2*t. Suppose h + 1 = j, h = 4*n - 6 - 91. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-14)*((-576)\/20)\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -4*n**5\/5 + 3*n**4 + 14. What is a in u(a) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - 3?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - p - 80 = -0*p, 3*p = 5*m - 70. Let n(h) = 4*h**2 - 5*h + 6. What is the remainder when n(4) is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4 - 27501*w**3 - 820629*w**2 + 15535569*w - 59098116 = 0. What is w?\nAnswer: -9137, -44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3713*o - 6510. Let c be w(-6). Calculate the greatest common divisor of 216 and c.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n - 1. Let a(k) = 9*k**2 - 4*k + 19. Let y(t) = a(t) + 6*w(t). Is y(7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (37 + 49\/7)*6\/8. Let g = 80 - a. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 18, 48, 102, 186, 306, 468?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2045.827 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 27 = 5*s - 5*z, 0 = -3*s + 2*z - 26. Calculate the lowest common multiple of (4\/(-3))\/(2\/s) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12659064 divided by -12?\nAnswer: -1054922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 2)*-1*5. Let k(s) = 15*s - 3. Is 16 a factor of k(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 443832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -230 + 231. Let u be c - ((-4)\/(-3) - (-3)\/27). Suppose -4*m = -6 + 2. Which is bigger: u or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -2 - (0 + -5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*(s*s*s\/s**2)\/s)**(-42)*(s**(-5)\/s)\/(s\/s**(2\/3))*(s**3*s)\/s**(-8)*(s*s**(-1))**(15\/4) assuming s is positive.\nAnswer: s**(-361\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*(-15)\/(-24))\/((-210)\/(-1176))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 652049 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/20 - 2363*u**3\/2 + 2273*u**2 - 1996*u + 1. What is the first derivative of a(n) wrt n?\nAnswer: -3*n**2 - 7089","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - p**2 + p + 1. Suppose -4*q + 2*f - 10 = 0, -q = 5*f - 3 - 11. Let r be w(q). Put -2, -5, r in decreasing order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -264 - -273. Suppose -2227 - 437 = -v*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*s**5 - 490*s**4 + s**2 + 19098*s?\nAnswer: -180*s**3 - 5880*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 18*f - 3. Let v be o(5). Let g = v + -73. Is 35 a factor of (-720)\/32*g\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776288091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose g*h + 8 = 4*x, h + x - 8 = -3*x. Let q = 2 - h. What is the lowest common multiple of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 9*w + 10. Suppose 4*j + 54 = 2*j. Let k = 40 + j. What is the remainder when n(7) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u + 3*u)*(-5 - 1 + 3) + 3*u + 3*u - 10*u.\nAnswer: -19*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -728 at most as big as -1833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(15) - sqrt(540))*-6)\/(sqrt(3) + sqrt(24)\/(sqrt(24)\/sqrt(3))) + 5).\nAnswer: -75*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o = 13. Suppose 3*t = 30 + 9. Let p(x) = o - t - x. Determine p(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*((sqrt(136)*-1 - sqrt(136))*2 + 2*sqrt(136)*-6 + sqrt(136)))\/(sqrt(64)\/sqrt(8)*6 + (sqrt(968) - sqrt(968)*5 - sqrt(968))))**2.\nAnswer: 61200\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j + 22695 = -110*j. Is -267 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*y = 1, 3*y = 179 - 182. Which is the biggest value? (a) 5\/6 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3851*p + 38360. Give w(10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 0*w**4 + 0*w**3 + 0 - 19*w - 21\/20*w**5 + 3*w**2. Find the first derivative of v(j) wrt j.\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070997 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/5 + 3008449*o**2\/5 - 15042224*o\/5 + 12033776\/5 = 0.\nAnswer: 1, 4, 3008444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6505 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/3 - 11\/6. Let h = 123.1 - 123. What is the closest to h in 3, 11, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 25. Suppose 77*g - 4*g = -156*g - 1145. Calculate r(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*f - 3531 + 2426 = 2633 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-2\/3)*q)*q**(-1\/4))\/(q*q**1*q)**(-1\/95)*((q**(-1))**(-8))**(-13\/6) assuming q is positive.\nAnswer: q**(-6923\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let n(u) = 3*u + 7. Let k(b) = 4*b + 5. Let l(a) = -4*k(a) + 3*n(a). Let j = -87 + 88. Give j*l(q) - 5*m(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 3*q = -3, -5*q + 14 = -3*b - 0*q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1844 or 0?\nAnswer: -3\/1844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/6*6\/(-72)*-9*-6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3893547, -3893545, -3893543, -3893541?\n\"Answer: 2*u - 3893549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(6)\/sqrt(2) + 4 - sqrt(189)\/sqrt(7).\nAnswer: -sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.781326mg in kilograms?\nAnswer: 0.000007781326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6)*6\/3)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -119 - -109.6. Let j = y + 9.399765. What is j rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/51)\/(19\/(190\/(-15))*1)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3582726?\nAnswer: 2, 3, 7, 85303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*s = 16. Let y = s + 11. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l**3*r + 71198*l**3 - l**2*r + 5033*l*r + 699*r wrt l?\nAnswer: 60*l*r + 427188*l - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-21)*73\/(-146)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/10 - 7\/70 - -1. Let n = -48 + 43. Sort n, w, -16.\nAnswer: -16, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*w**2\/8 + 11790579*w\/4 + 786039 = 0. What is w?\nAnswer: -4\/15, 524026","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - m = -200. Let x = 45 - m. Let p = x + -3. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331321 is divided by 466261?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 94519 = -4*q - 18233, -q - 3*l = -19052. What are the prime factors of q?\nAnswer: 2, 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -43 + 10*o**2 - 2*o - o**3 - 7*o + 47. Let p be 6 - ((-3)\/12)\/(9\/108). Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 at least 11352\/283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7660872.\nAnswer: 2, 3, 29, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 7*l**2 + l + 1435. Let p(f) be the third derivative of -f**5\/15 + 2*f**2. Give p(s(n)).\nAnswer: -784*n**2 - 112*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 6. Let z be 2\/16*1008\/63. Factor -4\/3*c + 0 - 2\/3*c**b + z*c**2.\nAnswer: -2*c*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 5. Give q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - 2*z + 1. Let w be i(1). Let f(o) = 0*o + 0*o + 3*o + w - 1. Is f(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260843093?\nAnswer: 7, 37263299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 5096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(3\/1 + -2). What is the common denominator of (-132)\/(-9)*(3 - (-54)\/(-21)) and g + -1 + 18\/10?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 66188*g**2 + 3568426*g - 3502240.\nAnswer: 2*(g - 33040)*(g - 53)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbdb when four letters picked without replacement from dedbeeedfbeeq.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 76207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (4 + -10 + -3 + 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 - 2 = 0. What is the units digit of 2\/((-57)\/21 - j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -1412654?\nAnswer: 1412656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -677 or -674?\nAnswer: -677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 144113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4778*z - 4788*z + 9568*z = -15, 0*q + z + 6 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five halves of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 698305880 to the nearest integer?\nAnswer: 26425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 926*w**6 + 15*w**2 + 9*w wrt w?\nAnswer: 111120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 123. Let m be c(-43). Calculate the greatest common factor of 78 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-40) + (35\/(-10))\/(-7)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24731 = 14*x + 23709. What is the nearest to 0 in 1, 0, -3\/7, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 823 (base 10) in base 15?\nAnswer: 39d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 0.4. Let h = v - -0.9. Sort h, -5, -0.5 in decreasing order.\nAnswer: h, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t - 18*r + 21*r - 1, -3 = 3*t + 5*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9831627, -19663252, -29494877?\n\"Answer: -9831625*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 87364?\nAnswer: 436820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634129?\nAnswer: 311, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*a**3*z - 789*a**3 - 40*a**2 + 92*a*z wrt a?\nAnswer: -48*z - 4734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 348, 695, 1042, 1389?\n\"Answer: 347*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 2099 = 7846. Suppose -2*u - 751 = -n. Let z = 7 + -3. Solve -12 = -z*g + u*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0278 + 0.0277594. What is a rounded to six decimal places?\nAnswer: -0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a1041 + 3?\nAnswer: 6a1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 77 - 25. Calculate the greatest common divisor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3555.013 + 3559. Let b = z - -0.013. Sort -2, b, 0.3.\nAnswer: -2, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + v - 1. Let h be z(-2). Let r be 160\/25 - 0\/(6\/3). Let b = 86\/15 - r. Is b smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9126 + 9256. What is the least common multiple of p and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5378?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84179280?\nAnswer: 2, 3, 5, 350747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1 + 0 - o**2 + o**2 + 4*o**2. Suppose -2*t + 2 = -8. Suppose -t*x + 0*v = -v, 0 = -2*x - 4*v + 22. Give f(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -56*w - 30*w + 21*w + 33*w**2 + w**3 + 33 + 16*w - 20*w. Calculate i(-35).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z = -183*z + 386*z + 385*z + 34188 for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.073*-12615\nAnswer: 920.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -101000101 (base 2) to base 8\nAnswer: -505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-9\/4)*s)**(-7)\/(((s\/s**(-1\/11)*s)\/s*s)\/s**(-10)))**(-33) assuming s is positive.\nAnswer: s**(1365\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/112 and 23\/48832.\nAnswer: 48832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5.7, -1\/18, 7?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*a - 1190511 - 1036153 = 251756. Calculate the greatest common factor of 84 and a.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2988 and 830.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4*v**2 - 12*p**4*v + 663*p**4 + 6*p**2*v**2 + 17*p**2 + 18*v**2 + 2 wrt p?\nAnswer: -48*p*v**2 - 288*p*v + 15912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*k**2 - 3*k + 2*k + 263*k**2 to n + z*k**2 + p*k and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -a + 20, 15 - 5 = -3*a + 5*l. Let y be 0*(-2 - 3)\/a. Solve -z = -2*u - 11, y*u + 2*z = u + 7 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13438598, 26877175, 40315752?\nAnswer: 53754329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 9 = 13. Suppose 10 = 9*q + f. Is 20 a factor of (4 - (3 - q))\/((-6)\/(-591))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 3*x - 5. Suppose 0*y + y - 2 = 0. Suppose 0 = 4*v + 2*c + 24, 3*v - y*c + 3*c + 16 = 0. Calculate k(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -6*n**2 + 4*n + 3. Let v(t) = 11*t**2 - 7*t - 5. Let o(r) = 5*c(r) + 3*v(r). Let g(i) = -4*i**2 + i + 1. What is 3*g(j) + 2*o(j)?\nAnswer: -6*j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 39, 8, -75, -222?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*j + 13 = -5*j, -5*j = d + 7. Let y = -1 + d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w = n + 40*w - 1, -2*w = 2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 + 1.64. Let j = -1.70081 + f. Round j to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 36*i**2 + 186*i - 99. Let w be y(-31). Is -3176\/3 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, g: 3}. Give prob of picking 2 t and 2 g.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {r: 5, j: 1, n: 4, m: 4, i: 1, h: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -2210?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15224 - 15245 - (37 - -2 - 2)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 163 and 326.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 24. Determine l(4).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 2, x: 3, m: 2}. Give prob of sequence mx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 11:45 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*w**5 - 360*w**4 - 14*w**3 - 1472*w + 10 wrt w?\nAnswer: 40*w**3 - 4320*w**2 - 84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*s + 532 = -25*s. Solve 2*p + s = 24 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 4*l + 4. Let n(h) = 2*h**2 - 3*h - 3. Let b(c) = -4*n(c) - 3*y(c). Let s(r) = -2*r. Let q(t) = t. Let a(z) = -q(z) - s(z). What is a(b(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56\/34557 or 1?\nAnswer: 56\/34557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -i. Let h be (i\/(-2))\/(6\/16). Let j(q) = 3*q + 5. Let m be j(9). Calculate the highest common divisor of m and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 991, 3, -4?\nAnswer: 991","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 235952, 235821, 235676, 235511, 235320, 235097, 234836?\n\"Answer: -x**3 - x**2 - 121*x + 236075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1434*v + 24375. Give n(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39938 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a - 42. Let w be m(8). Let r = 40 - w. Find the second derivative of 3*z + 4*z**2 - 22*z**2 + 12*z**r wrt z.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -37) + -102 + 79?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*-3*sqrt(325)*1*-6 + -2)**2*3.\nAnswer: -8640*sqrt(13) + 20217612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 597 + 1927 = 0. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.023 and -379499984.7.\nAnswer: -379499985.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/1671153 and -74\/15?\nAnswer: 8355765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, 1.2634, -1\/3, 84 in decreasing order.\nAnswer: 84, 5, 2, 1.2634, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2573, 11710, 26939, 48260, 75673?\nAnswer: 109178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4121, -5120, -6119, -7118, -8117?\nAnswer: -9116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-240)\/(-18))\/((-5)\/(-18)). Let h(s) = s**2 - 26*s + 98. What is the units digit of h(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/6, -0.3, -4, -2 in decreasing order.\nAnswer: -1\/6, -0.3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 45690812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*w - 1)*(2 + 1 + 0) + 3*w - 2*w - 2*w)*(-4 + 5 - 2).\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -28*s**2 + 17*s - 54. Let c(y) = 10*y**2 - 6*y + 18. Let n(t) = 17*c(t) + 6*m(t). Let u(i) = 3*i. What is u(n(b))?\nAnswer: 6*b**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -8 + 3 + 95*c**2 - 2*c + 6 + 0 - 3. Calculate the remainder when 545 is divided by b(1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 219?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1344, -1.56, -3, 0.2 in descending order.\nAnswer: 1344, 0.2, -1.56, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16230?\nAnswer: 2, 3, 5, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/85 and 12 - 9 - (213\/30 - -3)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -1. Let v be 1\/2*4\/a. Suppose k + 3*k + 8 = 0. Which is greater: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-14\/9))\/q)\/((q\/(q\/(q\/(q\/q**(3\/16)))*q*q))\/q))\/(q**0\/q**(-2\/23)) assuming q is positive.\nAnswer: q**(3875\/3312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 303176 (base 9) to base 11\nAnswer: 112938","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*w + 715 - 41, w = 5*j - 683. Calculate the highest common factor of j and 1768.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1523*c - 3122*c + 2551*c)*(3*c**3 - 3*c**3 - c**3).\nAnswer: -952*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6067*a*j**3*l - 3*a*j*l - 4*j**3*l - 97*j**2*l - 4*j*l wrt a?\nAnswer: 6067*j**3*l - 3*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0\/(-4))\/(28 + -27). Solve 4*r = -w*r + x + 17, -x = -r + 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - 5*g**4 - g**4 + (1 + 5 - 5)*(-2*g + 2*g**4 + 2*g) - g**4 - 4*g**2 + 4*g**2 + 3*g**4 + 3*g**4 - 4*g**4 - g**4 + 0 + 0.\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135*g - 1 + 1 - 12*g - 142*g + 61*g.\nAnswer: -228*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(-5*n**2 - 9*n**2 - 34*n**2)*(-5 + n**2 + 5).\nAnswer: 96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 7 (b) 0.3 (c) 0.17 (d) 4 (e) 0.201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -68*p + 3172. What is the remainder when z(44) is divided by 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b**2*j**3 - 2*b**2*j - 112*b*g**2 - b*j**2 - 25*g**2*j**3 wrt j?\nAnswer: 66*b**2 - 150*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -509 and -0.235.\nAnswer: -509.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0045172017 to 6 dps.\nAnswer: 0.004517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 100622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57771243839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 8 - (0 - -2). Suppose 2*b + 4*l - 12 = 8, -4*b = -3*l + f. List the prime factors of 9\/b - (-3)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -556*c - 5*c**3 - 5*c**2 + 3 - c**2 + 6*c**2.\nAnswer: -5*c**3 - 556*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 15 - 20*m to the form c + s*m and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 11*b + 7. Let j(t) = -t**2 + 10*t - 7. Let p(y) = 4*c(y) + 5*j(y). Let d(m) = -5*m**3 - m**2 - 2*m - 1. Let x be d(-1). Calculate p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1140 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 12 = 5*h. What is the remainder when h is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 9:48 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 (base 8) in base 2?\nAnswer: 100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/f**(-2\/5)*(f*f**(-5))\/f**(3\/2)*((f\/f**(1\/9)*f)\/((f**(-2\/13)*f)\/f*f))**16 assuming f is positive.\nAnswer: f**(12383\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3*((-6)\/10)\/(483\/(-805))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(17) - sqrt(102)\/sqrt(6))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v - 33. Let q be a(38). Solve -2*l + 13 = 2*l + 5*y, q*l = 2*y - 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272))**2 - sqrt(68)\/sqrt(64).\nAnswer: 31*sqrt(17)\/4 + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -592 - 568. Calculate the lowest common multiple of u and 261.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.6536354 + 1303.7704954. Let y = -1285.1168606 + c. Let b = -16 + y. Round b to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -a - 5*a. Suppose -g + a = 1. Solve 3*i - 2*i + g = 4*r, 0 = -3*r + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*r**3*t + 455*d*r**3 - d - r**3 - r*t + 303 wrt d.\nAnswer: -r**3*t + 455*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1828 + -0.1548. Sort s, 0.6, 3\/4 in increasing order.\nAnswer: s, 0.6, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -1 - (-2)\/((-6)\/(-345)). Let d = x - 29. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3\/8 + 10641*h**2\/8 + 1178823*h - 2360307\/2 = 0. What is h?\nAnswer: -1774, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from qqoqqppqmqpqpqpqq.\nAnswer: 25\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4090139549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 16. Let l be 1\/(-2)*(2 - (-5 + 161)). Suppose l = 7*u + 112. Give t(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135968 and 37027?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-x**4 + 2*x**3 - 2*x**3).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/12 - (-2)\/6. Which is the closest to 2\/7? (a) 4 (b) k (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojops. What is prob of sequence so?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 22*n**2 + 53*n + 3. Let v be z(-8). What is the greatest common divisor of v and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*i + 50. Let y = -15 - 0. Let s = y - -23. What is the remainder when i is divided by s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 152\/3 + 26*n + 1\/3*n**2 = 0.\nAnswer: -76, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 11) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t - 1. Suppose -4*v = -2*s + 4*s - 96, -79 = -3*v - 5*s. Let f = -28 - 7. Let m = f + v. Let x(p) = 8*p + 12. Give m*b(c) - x(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 7:21 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by 170?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3412410913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10646 - 10556. Calculate the smallest common multiple of 1998 and i.\nAnswer: 9990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -9*o**2 + 6*o**2 - 64 + 66 + o**3. What is a(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 10 + 25 + -16 - (91 - 4).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 + -234. Let h(m) = m**2 - m. Let x(s) = -s**2 - s - 1. Determine y*x(r) + h(r).\nAnswer: 3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 + 0*c**2 - 10*c - 2 + 7*c**2 - c**2 + 10. Give g(-10).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/17)*f**1*f)\/(f**2)**(-2\/17)*((f\/f**(-4\/3))\/f)\/(f*f*f**(-5\/6)*f)*(f\/f**(-2\/7))**(2\/67) assuming f is positive.\nAnswer: f**(63275\/47838)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 5.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67\/155 - -1\/31. Do 2\/3 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6712?\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 158518 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 3*z - 4. Let n be q(2). Let d be 5\/n + ((-3)\/(-6))\/(-1). Solve 4*k + d*k - 3*o = 23, -5 = 5*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 22 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-15)*110\/(-33)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245681 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 1:19 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 7:58 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + -3*(-15)\/9. Let v be (x\/5)\/((-1)\/(-30)). Let t be 6\/2 - (0 - 1). Solve -v = s - t*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -0*m + 18. Suppose -3*k = m*u - 0*u - 303, -25 = -5*k. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2741.699 centuries?\nAnswer: 274169.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 + 3) + 0 + 3. Let j be 1 + 5 + 1 - (z - -1). Solve v + j*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3229*k**2 - 1221*k**2 - 2467*k**2 - 2548*k**2 + 2270*k**2.\nAnswer: -7195*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.5, 5, -518\/11, -55, 3, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5.7, -2, -5, 3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1391 divided by 298.\nAnswer: 1391\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**2. Let u(t) = 3*t**2. Let h(p) = 4*m(p) - 11*u(p). Let k(f) be the second derivative of 4*f + 0*f**3 + 1\/6*f**4 + 0*f**2 + 0. Determine h(k(j)).\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.08424, -4, -4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - g**2 + 3*g**2)*(g - 2*g + 3*g)*(-30 + 17 - 29).\nAnswer: -168*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 8:53 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-3) - 46)\/(-23*54\/(-3726))?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 69 + 43. Let c(g) = 7*g**3 - 6*g + 3. Let a(i) = 15*i**3 - 13*i + 6. Give m*c(l) + 6*a(l).\nAnswer: -l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*m - 26 - 15, 11 = 4*m + g. Solve -2*v**2 + 10 + 3 + m*v**2 + 3 - 12*v = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/10 in 0.2, -0.2, 17, -104, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2772)\/(-30) + 6\/(-15). Let z = q + -59. Let p(y) = y**2 - 3*y - 1. Calculate the remainder when z is divided by p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408\/595*((-18)\/16)\/(4*15\/(-400))\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-5) + (-48)\/(-80). Suppose -s - z*s = 16. Let u be (-8 - -7) + s\/(-2). What is the greatest common factor of 5 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 12.0205\nAnswer: 60.1025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -75470000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/3)\/f**(-2\/9)*f**(4\/7)*f*f*f**(-7)\/f assuming f is positive.\nAnswer: f**(-370\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 + 241. Let u = g - 191. What is the greatest common divisor of 220 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.04 (c) 0.26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/107?\nAnswer: -1\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 11*i**2 - i - 11. Let y be u(11). Let l be y\/24 - 10\/(-15). Put -2\/7, l, -4 in increasing order.\nAnswer: -4, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6127.876um?\nAnswer: 0.006127876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16130042?\nAnswer: 2, 17, 474413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124437, -124432, -124427, -124422?\nAnswer: -124417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 21. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -83170 + -136?\nAnswer: -83306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73865841.1218933 - 1096416435.8781069. Let c = r + 1170282376. Let x = c - 99. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*y = 1. Let b(w) = 24*w**2 - w. Is b(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 - 5 = 2*w, 0 = -4*q - 5*w + 21. Solve q + 11 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/82 and 9\/82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467789, 467783, 467761, 467717, 467645, 467539?\nAnswer: 467393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v**1*v)\/((v*v*v\/v**(-4\/5))\/v)*v**(6\/7)*v**(-2\/9)\/v*(v**(-5)*v*v**(2\/21))**(2\/11) assuming v is positive.\nAnswer: v**(3898\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10797*b**2 + 6*b + 4294. Let w(h) = -16196*h**2 + 10*h + 6440. Let x(v) = 8*d(v) - 5*w(v). Find the second derivative of x(l) wrt l.\nAnswer: -10792","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66657*m - 40778*m**3 + 66665*m - 133322*m.\nAnswer: -40778*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 6 - 3)*(0 + 0 + 3*d) - 23 + 38*d + 23 + 2*d + 3 - 5*d - 1.\nAnswer: -7*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -10.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*16\/40*((-5)\/12)\/(2\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - (-16 + 23 + 18)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 408286, 408275, 408260, 408241, 408218, 408191?\nAnswer: 408160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 4*a**2 + 2*a + 11. Let b be r(5). Let s(f) = -8*f - 3. Let i be s(b). Suppose -28*h = -i*h + 19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 - 31*y + 29. What is h(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 68 (base 11) to base 16\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 149472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-343)\/119 - 6\/51 - -2904. Suppose -4*g + 979 = -z. What are the prime factors of g?\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -86\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymmy when four letters picked without replacement from {y: 4, m: 7}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 12:17 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/23)*t**(1\/7))**(-1\/18))**14 assuming t is positive.\nAnswer: t**(-1\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50004 + 3?\nAnswer: 50010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*c - 10*c**3 + 640*c.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 4*o**2 - 5*o**2 + 4*o + 3. Let n be u(-4). Suppose -j - g = n*j + 8, 2 = 2*j + 2*g. Sort 4, j, 5.\nAnswer: j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*y = 79*y + 142 + 391 for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuu. Give prob of picking 2 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 6*q**2 - 14. Give c(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -1677\/17, 6, 8 in decreasing order.\nAnswer: 8, 6, 4\/7, -1677\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18733518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*o + 12 = -78*o + 3*m, 2*o + 2*m - 16 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -72, -49, 0, 81, 200, 363?\nAnswer: 576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1331?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 3*m + 3, j + 4 = 3*m - 13 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 0, -2*u = -0*u + 4*c. Suppose -5*o = 5*p - 575, u = -6*o + 4*o - 4*p + 236. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 716 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13737 and 10.\nAnswer: 137370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 487 + 46. Suppose -65 + r = 13*v. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-9))\/7)\/(3\/3).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1 - (-2 + -3). Find the third derivative of -2*p**2 + 3*p**2 + 2*p**2 - p**2 - 2*p**a wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2230 + 3?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 987.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 241 = 3*r - 103, 3*r - 12 = 0. Let o be h\/10 + -1 + 5. Determine q, given that 3*q**3 + q**5 - o*q**3 + 3*q**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 239 - 38. Let h = t - 200.997474. Round h to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 6. Let b(y) = 2*y + 3. Let o be b(-6). Is 15 a factor of u(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15250599 is divided by 53889.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = z - 5*r - 46, -5*r - 125 = -2*z. What is the remainder when 146 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 21, 35, 51, 69, 89, 111?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77795?\nAnswer: 5, 15559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**3*q*w + 263883*k**3 + 151*k*q*w + 7*k*q - 1032*w with respect to w.\nAnswer: 5*k**3*q + 151*k*q - 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3588407173 to the power of 1\/3, to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 0*b + 5*b - 2*b + 27 + b - 22. Let c(g) be the first derivative of 11*g**2\/2 + 14*g - 2. Give 6*c(a) - 17*m(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*a**2 - 132778832 + 132778832 + 18*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*d + 894*d + 855*d - 3456*d + 885*d.\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*p - 26*p - 11*p**2 + 13*p**2 to c*p**2 + w + b*p and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**2 + 3. Let x(v) = 52*v**2 + v. What is x(r(n))?\nAnswer: 208*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57.8 + 21.64. Let h = n - -37. Round h to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -189066, -2\/11, 0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 201, -1, 21\/5, 1.7, -8 in ascending order.\nAnswer: -8, -1, 1.7, 21\/5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 245*w**5 + 167265*w**4 + 29586975*w**3 + 352798855*w**2 + 540006600*w + 222205500 = 0. What is w?\nAnswer: -335, -11, -6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164384 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*a - 27611 + 93111. Let r = a - -3893. What is the highest common divisor of r and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 41*c + 9. Let m be a(-17). Let r(l) = -l**3 + 5*l**2 + 28*l - 16. Let t be r(8). What is the greatest common factor of m and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0*g + 4 = -2*g, 2*l - 2 = g. List the prime factors of -3*(-3 - l - 18).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - k - 12. Let t be f(0). Let g(q) = -q**2 - 19*q + 27. What is the units digit of g(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55221322 (base 6) to base 9\nAnswer: 3086315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -30. Is -1 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1018800 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2482, 850, 4182?\n\"Answer: 3332*r - 5814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d + 88. Let m be f(-14). Solve 14 = -m*x + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 214.225.\nAnswer: 214.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -q**3\/3 + 5*q**2 - 5. Let h be t(8). Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 10 - 19 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 5*l**2 - 5*l - 31. Let f be p(-4). Let g be ((-4)\/(-16))\/(31\/(-6) + f). Let u = -2\/7 + -3\/14. Put g, u, -0.3 in increasing order.\nAnswer: g, u, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f + 4 = -188*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from fyjjfayffyajyyffaya.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1493\/948 - 2\/237. Find the common denominator of f and 33\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1 = 9. Let j be 3\/r - 5\/(-2). Suppose -j - 19 = -q. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 1)*(6 - 4 + 0)*(-10044*f - 4379*f - 6138*f).\nAnswer: 123366*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 15*i + 10*i - 16*i - 8*i - 2. Let y = 9 + 13. Let l(a) = 5*a - 11. Suppose 0 = 2*j + u + 10, 4*j + 2*u - u = -18. Determine j*l(z) + y*g(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 157? (a) 5 (b) -1\/6 (c) -2945\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 0 + 3*s**3 - 5 - s**3 as h*s + m*s**3 + c + t*s**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-24)\/44 + 17120\/88 is divided by 101.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 458326 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2 - 16.\nAnswer: 4*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -205389, -205380, -205359, -205320, -205257?\n\"Answer: o**3 + 2*o - 205392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 9*x + 1. Let b = -13 + 9. Let p be k(b). Let o = p + 4. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) -83808 (c) -0.3 (d) -5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -1. Let j be (-183)\/(-27) - (-2)\/9. Let p = 9 - j. Let y(n) = 3*n + 1. Let w(i) = -10*i - 4. Let z(u) = -2*w(u) - 7*y(u). What is p*z(c) + 3*q(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*i - 98*i + 1120. Calculate the lowest common multiple of i and 570.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3530 and 314914124.\nAnswer: 1574570620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4761 + -4762. Is -1\/3631 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2416121 (base 9) in base 14?\nAnswer: -261637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*(-166728)\/48. Let v = c - -4711. Let l = -6455\/81 + v. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from yyyydyd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g. Suppose 78*d = 72*d. Let q(c) be the second derivative of 0 + 5*c + d*c**3 - 1\/12*c**4 + 0*c**2. Calculate q(t(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28286\/21 + -4040\/3. Which is the second biggest value? (a) p (b) -0.5 (c) -12\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 5600.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1. Let u(b) = 3*b + 8. What is -14*n(v) + 2*u(v)?\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-606)\/(-808)*140\/(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (6 - 35) - 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(13)*3*-4 - (0 + sqrt(52) + sqrt(13))))**2.\nAnswer: 60*sqrt(13) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-10)*(5\/(-3))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 77711 + 555*u - 38857 - 4*u**2 - 38852 in the form y*u + h*u**2 + o and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 8*c + 9. Let r be w(-7). Let n be 19\/(-30) - r\/(-4). Let a = -6 - -5. Is n at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k - 3*k**4 + 7\/6*k**6 - 28 + 0*k**2 - 9\/5*k**5 + 4\/3*k**3. Solve j(w) = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/((-4)\/(60\/(-9))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 3*s**2 - s**2 + (33 - 33 + 7*s)*(2*s - 3*s - 3*s))*(166*s - 2 + 0 - 6*s**2 - 162*s).\nAnswer: 180*s**4 - 120*s**3 + 60*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2142343 + 10?\nAnswer: 2142403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 2*u = -5*i + 16, -3*i - 8 = -2*u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2 - 3 - 3)*(0 - 2 + 4)*(3*o**2 - 3*o**2 + 3*o**2).\nAnswer: 6*o**4 - 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x + 28 = -23. Does 3 divide (-414)\/12*4\/9*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17 + 14)\/((-9)\/12). Solve 0*n + g*n = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118923326 and 4?\nAnswer: 237846652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 8. Let x be f(9). Let h be 3 - x\/4*-4. Let k be (h - -1)*10\/6. Solve 0 = 5*l + 2*u + 3, 3*l - 7*l + u = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6967, 28168, 63561, 113146, 176923?\nAnswer: 254892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -28. Let c be (-1450)\/(-4)*y\/(-10). Suppose 11*a = 6*a + c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -333 - 180?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 504 + -431\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 2 + 39*x**3 - 3 - 126*x**2 + 126*x**2 to j*x + o*x**2 + t*x**3 + y and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -110*i**2 + 333*i**2 - 108*i**2 - 19*i + 9 - 105*i**2. Let r = 21 - 13. Is u(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133677073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5935 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-3*sqrt(108) + sqrt(12)) - (sqrt(12)\/sqrt(6) + sqrt(2) + 2)*-1) + -5.\nAnswer: -3 + 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(100))\/sqrt(5))\/((sqrt(150)\/sqrt(3))\/sqrt(5)) - 3*(sqrt(288)*4 + 0)**2.\nAnswer: -13824 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 - 80. Which is the closest to -1\/4? (a) -3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 67 - 209 + 71 + 71 + 93*m**3 to the form t*m**2 + y*m + h + l*m**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 + 9*t + 6. Let s be p(-7). Let d = s + -30. Find the second derivative of q**5 - 11*q + 30*q + d*q**5 wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -29. Let i be 3*(12\/(-18))\/1. Which is the nearest to i? (a) -5 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, q: 5, m: 1}. What is prob of sequence qbqb?\nAnswer: 5\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/1326 and -61\/9282.\nAnswer: 9282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 21.926. Suppose 5*n + z + 7 = 4*z, -5*z = -3*n - 17. Is v greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 5:59 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87.8 + 90. Let f = a + -1.7. Sort -3\/8, -4, f, 4.6.\nAnswer: -4, -3\/8, f, 4.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375558454?\nAnswer: 2, 7949, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r + 4*r + 9*r + 6*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145187*t**2 + 165429*t**2 - 67910*t**2.\nAnswer: 242706*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 - -210. Let i(f) = 2*f**3 + 11*f**2 - 2*f - 7. Let c(b) = b**3 + 5*b**2 - b - 3. Determine l*c(a) + 3*i(a).\nAnswer: -a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 142 - (2933 - 3159).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*j - 2 = -24, 3*n = 2*j + 17. Let b(c) = 2*c + 24*c**3 - 21*c**3 - 10*c + 12. Is b(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 5*b**2 + b - 6. Let v be a(5). Put v, -2, 4, -3 in ascending order.\nAnswer: -3, -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -588\/11? (a) 1\/168 (b) 1 (c) 1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 934 is divided by 266.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/(2*2\/48). Let h(a) = -30838*a**3 + 12*a**2 - 11*a + 29. Let u be h(l). Round u to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18470249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 plus -26?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 117037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1667*j - 22. Determine f(1).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-9)*5\/(18\/(-27)*6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 125920657 or 125920654?\nAnswer: 125920657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/15 + -4\/5. What is the third smallest value in v, -2\/11, -1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldlhulhdddulhlllluh. What is prob of sequence duhd?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of b**4\/4 - 487*b**3\/3 + 2850*b - 383. What is the first derivative of w(k) wrt k?\nAnswer: 3*k**2 - 974*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/15 - 55014332*q**3\/15 + 378322090675778*q**2\/15.\nAnswer: 2*q**2*(q - 13753583)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -7ec?\nAnswer: 7eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.71 rounded to one decimal place?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**8\/560 + l**6\/90 - 2*l**3\/3 - 1. Let g(c) be the third derivative of b(c). What is the third derivative of g(w) wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*k**4 + 1616696*k**2 - 48945503 with respect to k.\nAnswer: 108*k**3 + 3233392*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*31975\nAnswer: -9592.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3279 + 7621. Calculate the highest common factor of j and 835.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 55233 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -32403, -63430, -93093, -121398, -148351?\n\"Answer: -g**3 + 688*g**2 - 33084*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p - p - 2*p)*(-p**2 + 2*p - 2*p) + 1868*p**3 - 928*p**3 - 936*p**3 + 8*p as s + x*p**2 + q*p**3 + f*p and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -65018266 < -65018266?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/2 - 251*j**4\/8 - 5229*j**3\/8 - 35721*j**2\/8 + 9261*j\/8.\nAnswer: -j*(j + 21)**3*(4*j - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38128 and 581776.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 717868\/(-47372) + -1 + 15\/13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102001223 (base 4) in base 3?\nAnswer: 10202021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4637429258 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76801 is divided by 854.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3837 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 + 894*q\/5 - 5436\/5.\nAnswer: 2*(q - 6)*(q + 453)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 14. Let b = -51 - z. Let c = 22.99886 + b. Round c to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 135633*l**3 - 1535126364*l**2 - 47473291620*l - 165339824400 = 0. Calculate l.\nAnswer: -22590, -27, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**15*u\/u**(-7\/4) assuming u is positive.\nAnswer: u**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -313008, -2, -1, 5.\nAnswer: -313008, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.19 + -145.61. Let b = -145 - s. Let u = b + -31. What is u rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 169*j = 172*j + 16, -5*j = 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 2*b - 46 = 0, 0*b + 31 = 4*n - b. Suppose 3*w = n - 75. Is w less than or equal to -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {k: 9, w: 4, c: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-7) + (-324)\/189 - 10\/(-4)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2203d (base 14) to base 9\nAnswer: -134887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -33. Let q(l) = -l**3 - 9*l**2 - 5*l + 6. Let a(r) = r**2 + 1. Let i(s) = 5*a(s) + q(s). What are the prime factors of i(u)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2.52.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10753204 is divided by 8887.\nAnswer: 8821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 1:05 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**2 - 5*b**2 + 140*b + 21*b**2 - 5*b**2 to z + m*b**2 + f*b and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35107\/6 or -5850?\nAnswer: -5850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(243) + -3*sqrt(243)).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.1 + -8.8. Suppose 26*r + 17*r + 172 = 0. Which is the biggest value? (a) r (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 - j. Let v be l(1). Let y be (v - 2)*4\/2. Suppose 1 = 3*i - y, -5*i + 7 = k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - ((-6)\/(-3) + (-52)\/(-13)). Put -4, 2, q, -5 in descending order.\nAnswer: 2, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p. Let r(h) be the second derivative of 3*h**4\/8 + 9*h**2\/2 + 7*h. Let u(m) be the first derivative of r(m). What is u(d(i))?\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 31 = -a + 50, -2*a - 18 = -d. Let j(p) = -p**2 - 7*p + 6. Let q be j(-8). Let h be -4 - 7\/((1 + 1)\/q). Solve -h*r = 2*r - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-2\/3))*l))**(-1\/10)\/(l\/(l\/l**2*l))**(-2\/11) assuming l is positive.\nAnswer: l**(19\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -11750 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 5. Suppose -4*w = w. Which is the closest to r? (a) w (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(152)*4)\/sqrt(8).\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 395518692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsqs when four letters picked without replacement from sngnnsqyvvv?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2 + 4. Let l be (-4)\/(-6) + (-364)\/(-12). Suppose -16 = -35*r + l*r. Sort g, r, -3, 0.\nAnswer: -3, g, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(1*2\/(-1)*(-206)\/103)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**3*i*u - 2*c**3*i - 34*c**3*u - c**2*i*u + c**2*i + 2*i wrt u.\nAnswer: -c**3*i - 34*c**3 - c**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-14)*o\/(o*o**(3\/10)))**(-39) assuming o is positive.\nAnswer: o**(5187\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 + 23*f - 30. Give s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195.75? (a) 0 (b) -0.5 (c) -1\/8 (d) -5 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r**4\/11 - 1510*r**3\/11 + 4112*r**2\/11 = 0.\nAnswer: -257\/2, 0, 8\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*m - 5, -m + 0*m - 1 = 2*i. Suppose 2*j + 0*j + a - 20 = i, 3*a = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 1\/3*x**6 + 16\/15*x**5 + 5 + 2\/3*x**4 - 7\/3*x**2 - 4\/3*x - 4\/3*x**3. Find q such that v(q) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 3*o. Put -2, o, -1 in ascending order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 337*a + 117. Calculate p(6).\nAnswer: 2139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77052113440 take away -0.282?\nAnswer: 77052113440.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12510300 (base 6) in base 11?\nAnswer: 262769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 216378, 216401, 216398, 216357, 216266, 216113, 215886?\n\"Answer: -2*o**3 - o**2 + 40*o + 216341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -6\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2 + (-3 + (sqrt(891) - (-4 + sqrt(891)*-1 + sqrt(891))) + sqrt(891) - (-1 + 0 + sqrt(891) + 2)) + 1)**2.\nAnswer: -18*sqrt(11) + 890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33221333 (base 4) in base 6?\nAnswer: 1212515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 - 41*i. Let j(s) = -5*s + 24. Let m(u) = -16*u + 80. Let n(z) = 10*j(z) - 3*m(z). Determine n(y(h)).\nAnswer: -8*h**2 + 82*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21763713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 5:18 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2159\/119 - 1\/7. Let t be (-2)\/96*10 - 3\/u. Let g = -5.4 + 5. Which is the third biggest value? (a) -3 (b) t (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -23, -35, 2\/5 in increasing order.\nAnswer: -35, -23, 2\/5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = s + 211, -4*j - 12 - 153 = -3*s. Let u be (3 - 2 - 6)*(-21)\/15. Suppose 4*k = 2*q + 86, -u*k = -2*q - 6*k - 86. Is j < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 275305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*g*l**2 - 11564814*g - 53202*l**3 + l wrt l?\nAnswer: 58*g*l - 159606*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 12223?\nAnswer: -12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87161 is divided by 573.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 168.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 6. Let p(d) = 10*d - 20. Let z(u) = 2*p(u) + 7*x(u). Let m(h) = 2*h - 5. Determine 2*m(b) + 5*z(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - (-5)\/(-4)) + -15 + (-116)\/(-8). Find c such that -y*c**2 + 0 + c = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4*n = 5*a + 4, 0 = -a + 2*n + 4. Suppose a = -2*x + 2, -3*h - 5*x + 15 = 4. Is 8*(17\/h - 3) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 348321 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 410, 357, 282, 185?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 1)\/((-2)\/8). Let d be f\/(-6) - (-4)\/(-6). Find the second derivative of d*h**4 + 2*h - 5*h**4 - h - 2*h wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3319089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 7*k + 4. Let p(i) = 48*i + 27. Let x(d) = -27*n(d) + 4*p(d). Let t(m) be the third derivative of m**5\/30 - m**2. What is x(t(q))?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n + 3*d - 16, -5*n + 2*d + 23 = 0. Solve n*c = -12 + 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/266 and -113\/391888.\nAnswer: 7445872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.636 + -399.364. Let z = 397 + n. Which is the biggest value? (a) 0.1 (b) 0.2 (c) z (d) 66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175747176 divided by -2.\nAnswer: -87873588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-4)*(-2)\/(-3) - (-72)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 6*j**2 + 5*j + 27. Let t = 12906 - 12912. Give v(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 70?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1755 + -1752. Factor -1\/4*p**5 + 0 - 7\/4*p**2 - 1\/2*p - 5\/4*p**4 - 9\/4*p**s.\nAnswer: -p*(p + 1)**3*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 315 = -8*i. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39859 + 12749. Suppose 9*o + 10965 = u. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 34468892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1632, -1673, -1752, -1875, -2048, -2277?\n\"Answer: -f**3 - 13*f**2 + 5*f - 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u - u - u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4801 - 13085?\nAnswer: -8284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19324419 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 1.77546267?\nAnswer: -22.77546267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 9:28 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440625 and 250?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 3933624*b - 15734432.\nAnswer: -4*(b - 983402)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 8*f - 17. Let o(h) = h**2 - h - 6. Let n be o(-3). Let a(y) = y - 2. Let q(k) = n*x(k) - 51*a(k). Let p(m) = 6*m**2 + 28*m - 28*m. Calculate q(p(c)).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 + 9*g**2 - 3*g**2.\nAnswer: 6*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*t = 6, 0 = 2*n - 2*t + 1 + 1. Suppose 0 = n*k - 9 - 3. Let h(s) = -s**3 + 10*s**2 + 2*s + 5. Let z be h(10). Solve x + z = k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 18*k + 10. Suppose -3*r + 7 = 3*s - 4*s, 0 = 3*r + 5*s - 1. Let m be r\/(-14) + 0\/(-2). Which is the closest to 0.1? (a) m (b) 3\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2)*4)\/((71136\/(-29640))\/(42\/(-10))).\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 28. Suppose g*v = r + 32, 3*v + r = 16 + 8. What is the smallest common multiple of 5 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848*x**2 - 5 - 206*x**2 + 839*x**2.\nAnswer: 1481*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9213 and 15.\nAnswer: 46065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16044049 rounded to 4 dps?\nAnswer: -0.1604","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7843*f + 35 + 7852*f - 15694*f + 17*f**2 as y*f**2 + l*f + b and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58610*f**6 + 5501*f**2 wrt f.\nAnswer: -7033200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13710338 to the power of 1\/2, to the nearest integer?\nAnswer: 3703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a*a*a**(2\/11)*a*a)**(-8\/11)\/(a**(-4\/5)\/(a*a**(-10))))**(-22) assuming a is positive.\nAnswer: a**(15362\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5915.\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -29. Which is smaller: y or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b + 20. Let g(s) = -s**3 - 2*s**2 + s - 1. Calculate g(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -512 - 129*u + 61*u + 1789 + 45*u + 63*u. Calculate z(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 177*g**2 + 1881*g + 22869.\nAnswer: 3*(g - 33)**2*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -64046, -64042, -64034, -64022, -64006, -63986, -63962?\n\"Answer: 2*r**2 - 2*r - 64046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose 0 = 2*f - o, -7*y + 2*y + 1271 = f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 51179 = 4307. Calculate the smallest common multiple of d and 930.\nAnswer: 8370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -19*f**5\/20 - 5*f**4\/12 + 13*f**2\/2 - 91*f - 15. Let r(j) = -29*j**3 - 8*j**2 + 20. Give 8*o(d) - 5*r(d).\nAnswer: -7*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 1 + 3, 4*k - 2*a = 10. Let u(o) = -k*o - 30 + 30. Let g(m) = -2*m**2. What is u(g(v))?\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12.18, -3, -20.53, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - (-5)\/(-2). Let o(w) = -2*w**2 - 7. Let a(l) = -l**2 - 3. Let n(t) = u*o(t) + 7*a(t). Let c(s) = 3*s. Calculate c(n(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 4:14 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u + 2. Let m be i(-6). Suppose 2*x - 4*x = -m. Solve -5*k + x = -4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1283702, 2567193, 3850684?\n\"Answer: 1283491*b + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 5409*q - 5408.\nAnswer: -(q + 1)*(q + 5408)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/5*(26519\/(-17295))\/(2\/(-30))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**7\/105 + 1209*d**5\/20 + 859*d**4\/12 - 4*d**2 + 238*d - 3. Find the second derivative of t(r) wrt r.\nAnswer: -24*r**2 + 7254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 2170664*y**2 - 8682632*y + 8682624 = 0.\nAnswer: 2, 1085328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -158 - ((33 - -18) + -101) - (5 + 2 + 0)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*d - 4*d. Solve -2*u + 4*u + d = 3*c, -3*u + 21 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -624 or -623?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2495.\nAnswer: 5, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:48 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/9661847 and 85\/40174.\nAnswer: 19323694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + h - 8 = 0, 21 = 3*t - 8*t + 4*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(153) - -1*(sqrt(153) + sqrt(153)*-1 + sqrt(153))))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(880) - sqrt(880)*-2) + sqrt(880) + sqrt(880) - (sqrt(55) - -2*sqrt(220)))\/(sqrt(22)\/(sqrt(12)\/(-1*sqrt(6)))).\nAnswer: -15*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/6272*-32)\/((-1)\/287)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 - 267. Solve 9*n + b = 23 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**3 + 2*z**3 - 3*z**3)*(-5 - 3*z + 2*z - 13) to the form o*z**4 + k*z**3 + p + d*z**2 + r*z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, h: 1, z: 5}. Give prob of sequence zhl.\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 0*z**2 + z**2 - 1.\nAnswer: 2*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -43889*z. Let y(l) = l. Give y(j(s)).\nAnswer: -43889*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -45*t**4\/4 - 55*t**2\/2 + 5823. Let p = -13 - -7. Let y(f) = 5*f**3 + 6*f. Give p*n(h) - 55*y(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343930.7*2.\nAnswer: 687861.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -309 - -298. Let a = 8.825 + v. Round a to 1 decimal place.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 212751311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 449 divided by 2\nAnswer: 449\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d - 39*d + 86*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/(-6))\/6)\/((-20)\/280).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 45397 or 45405?\nAnswer: 45405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 a when four letters picked without replacement from sabaasbsbsn.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)*(-8)\/6. Let f be p\/(-14) - 33\/(-7). Let s(t) = 2*t**3 - 5*t**2 - 3. Let c be s(4). What is the greatest common divisor of c and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 24*b. Let s be x(-12). Let r(j) = 5*j - 15 + j**3 - 4*j + 19. Let w be r(0). Solve p - w*p + 6 = s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 4*o**2 - 4*o**2 + 3*o**2 + o**3 - 3*o**2 + (o**2 + 2*o - 2*o)*(2*o - 2 + 2) + 2*o + o**3 - 2*o + 8*o - 11*o - 3*o**3 + 6*o**3.\nAnswer: 5*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzn when three letters picked without replacement from {z: 2, n: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 703\/171 + 2\/(-18) + 37260\/(-9300)\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101216356120 rounded to the nearest 1000000?\nAnswer: -101216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 169657513021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*w**2 - 151 + 51 - 2*w**2 + 43 + 61.\nAnswer: -69*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + -14*2)\/((-4)\/48). Suppose 0 = -3*f + f + j. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/50 + (-228)\/(-10). Let y = j - 11. Suppose 0 = 4*t + 5 - 33. Calculate the remainder when y is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 39*u**2 - 123*u + 151. Calculate b(-42).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 30*b + 244. Let j be v(16). Solve 5*s + 30 = j*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 772179*0.3.\nAnswer: 231653.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-66)\/(-14) - (-2)\/7. Suppose 3*x + 33 = 3*g, -g = -i*g - x + 69. Calculate the common denominator of 139\/18 and 45\/g + 5\/20.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**7\/42 + 391*k**6\/30 - 969*k**5\/10 + 773*k**4\/3 - 772*k**3\/3 - 1620*k. Determine t so that c(t) = 0.\nAnswer: 0, 1, 2, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 4 = -66*a + 62*a, -a - x + 5 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13439871 is divided by 433544.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(605) + 1)*-5 - ((3*sqrt(5) - sqrt(5)) + -1 + 0 + -5))**2.\nAnswer: 456*sqrt(5) + 16261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/(z\/z**(-2\/21)))\/((z**(2\/25)\/z*z)\/(z**(1\/4)\/z)))**20 assuming z is positive.\nAnswer: z**(-10343\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 419365 to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 34*h**3 - 20*h**3.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 1\/18 (c) 1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - (-260)\/275. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3102*w**2 - 3268*w**2 + 1548*w**2.\nAnswer: -4822*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -751 + 53323\/71. What is the nearest to -1 in -5, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5546.254 years to millennia.\nAnswer: 5.546254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 8*w + 3. Let q(z) = -6*z**2 - 24*z + 8. Determine -3*q(v) + 10*t(v).\nAnswer: -2*v**2 - 8*v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21196 and 182?\nAnswer: 275548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47 - 12?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -176142147 divided by 109?\nAnswer: -1615983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6)\/z*z**2*(z**1*z)**(11\/7)*((((z*z*z**(-3)*z)\/z)\/z)\/z)\/z**(2\/7)*(z\/z**0)**38 assuming z is positive.\nAnswer: z**(230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 4969583.24 to the nearest ten thousand.\nAnswer: 4970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from nncnccnk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1205 - -38116081025.\nAnswer: 38116079820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h - 2*h)*(-4*h**4 + 0*h**4 + 2*h**4) + (0*h**3 + 3*h**4 + 0*h**3)*(-h - 2 + 2) - 33*h**5 + 388*h**2 - 388*h**2.\nAnswer: -34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-3*(sqrt(66) - (-2*sqrt(66) - sqrt(66))) - sqrt(66))*5)\/(sqrt(48)\/(sqrt(48)\/(sqrt(6) - sqrt(150) - sqrt(6))))*-2.\nAnswer: 130*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1337 and -3507.992?\nAnswer: 2170.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (-89 + 77)) + 67?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3266602 or 3266599?\nAnswer: 3266602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 14) in base 7?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from usoisi. What is prob of picking 2 s and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1715.5 - 1716. Let v = -13 + 12.8. What is the closest to 0.1 in 0.11, c, v, 0.2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 4, e: 4}. Give prob of sequence kkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -198553 * 11.\nAnswer: -2184083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from byybybcyybbcyybyyyy. What is prob of picking 1 y and 2 c?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 22*b = 864. Suppose -3*c + 73 = 4*h, -3*h + 54 = 4*c - 6. Calculate the remainder when b is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 221 + -185. Find the third derivative of 423*f + a*f**2 - 215*f + 56*f**4 - 206*f wrt f.\nAnswer: 1344*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1.8 (b) -3.7 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 104703*j - 1 - 104696*j + 5. Suppose 0 = -w - 2*w - 15. Let x(y) = 3*y + 2. Give w*x(n) + 2*i(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**4 - b - 1. Let j(w) = 229*w**4 - 2*w - 140. Let i(r) = j(r) - 2*y(r). Differentiate i(h) wrt h.\nAnswer: 924*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**6)\/((r**6*r)\/r)*(r*r**6*r)\/r**2 assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 87, -27 in descending order.\nAnswer: 87, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*m - 5*m + 30 = 0, 0 = -u + m. Factor o**2 + 2*o**2 + 2*o**4 - u*o**2.\nAnswer: 2*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6645 - 6648. Let w(y) = -3*y**3 - 4*y**2 - y - 10. What is w(q)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 1, -98, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*w = -28, -5*u - 29 = -6*u - 5*w for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/1 - (5 - 76) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 7*q**2 + 11*q + 22. Calculate n(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + r + 2 = 0, -4*r = 3*f + 2 + 6. Let c(a) = -3*a**2 + 9*a - 2. Let z be c(3). Let t be 1 - (0 - z)*-1. Solve -t*w + 0 - 3 = f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -54*g**3 - 65*g**3 - 17*g + 121*g**3 + (-4 + 1 + 1)*(-4*g**3 - 8 + 8).\nAnswer: 10*g**3 - 17*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 797*t + 136. What is the ten thousands digit of w(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -480013, -3840215, -12960765, -30721837, -60003605, -103686243, -164649925?\nAnswer: -245774825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = 0, -5*y = -y - 5*x - 61800022. Suppose -m = -5*o + 5150020, -3*m + 4*o - y = 2*o. What is m rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 101463 in increasing order.\nAnswer: -2, 4, 101463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/10)\/((-10)\/(-25)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 22)*-12*(-7)\/(-63). What is the tens digit of ((-112)\/f)\/(1\/(71 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:07 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*o = 507*o - 2*p - 42, -2*o - 3*p + 22 = 0. Solve r - 9 = -y, o = r - y + 6*y for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w - 22. What is x(10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1262761949*d**3 - 387701*d - 513.\nAnswer: -7576571694*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 2\/9, -4, -12568 in descending order.\nAnswer: 5, 2\/9, -3, -4, -12568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(17)*-1)**2 + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - 26\/(-24). Let l = -13031.8 - -13032. Which is the nearest to l? (a) u (b) -2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 26 - 4. Let q(f) = 3*f**3 - 9*f**2 - 12*f + 6. Let i(v) = -8*v**3 + 28*v**2 + 36*v - 17. Let g(o) = x*i(o) - 17*q(o). Factor g(c).\nAnswer: -3*c*(c + 1)*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -9*q**2 + 1 - 2*q + 18*q**2 - 8*q**2. Let t = 2 - 1. Let i(v) = 0 + 3 - v**2 - v + 2*v**2 - 2. What is t*m(r) - 2*i(r)?\nAnswer: -r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0 - 39*l**2 - 1\/20*l**4 + 0*l - 7\/30*l**3 + 1\/300*l**5. Determine m so that r(m) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 171073?\nAnswer: -684292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*w + 2696010 = 0, 6*o - 7*o + 2*w = -1348010. Round o to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -38*i + 3465. Calculate the remainder when i is divided by 44.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 883 divide 211840607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(99) - 5*2*sqrt(99) - (sqrt(99) - sqrt(99)*1*3)))\/(-6*(sqrt(225) - ((sqrt(225) - -3*-3*sqrt(225)) + sqrt(225)))).\nAnswer: -7*sqrt(11)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = n + d, -4*n - 3*d + d - 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 times -1.661?\nAnswer: 0.21593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2791\/24 - 380\/3. Let v = -1503\/8 + 189. Find the common denominator of m and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 231.6 - 232. Which is the third biggest value? (a) i (b) -2 (c) 0.4 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -7*j**2\/2 + 24*j + 1232. What is n(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -2\/13, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 1\/3, 2, -10\/57 in decreasing order.\nAnswer: 2, 1\/3, -10\/57, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 3*g**2 + g + 3. Let d be w(-3). Sort 3, -15, -5, d in descending order.\nAnswer: 3, d, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5*y**2 - 723*r**2*y + 2*r*y**2 + 138*r - 3 wrt r.\nAnswer: -20*r**3*y**2 - 1446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) - (sqrt(272)*-3*-4)**2.\nAnswer: -39168 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -391716.763172.\nAnswer: -391721.763172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -148 (b) -4 (c) 0.032 (d) 2\/9 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.9 - -12.9. Which is the closest to h? (a) -2 (b) 1\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + -4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*170\/34*(-2)\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -4) + 7 + 1 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-24) - (0 + 10102\/(-6)). Suppose 4*n + 438 - y = 5*p, 0 = -3*n - p + 948. Let j = n + -189. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1917 and 542889?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -577, -568, -557, -544, -529, -512?\n\"Answer: f**2 + 6*f - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 44\/5 of a micrometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6979?\nAnswer: 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.098851 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23556 and 292123845.\nAnswer: 5889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9969 + 18000. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:52 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 6*n**2 + 456*n + 521. Give u(0).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021660 (base 8) in base 9?\nAnswer: -453112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + (0 - 0\/5). Determine x, given that -15*x + 5*x**2 - 27*x**4 + 37*x**4 - v*x**4 + 15*x**3 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*(-2)\/(-4). Let t = 0.44 - 7.04. Let c = t - -1.6. Put 4, c, w in ascending order.\nAnswer: c, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2 - 2*b + 5. Let v be p(3). Suppose 4*s - v = -5. Solve s*i = 9 - 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 22706 = -2*n, -3*t - 369*n + 17012 = -367*n. List the prime factors of t.\nAnswer: 2, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 880.1339km?\nAnswer: 880133.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a + 3*a + a**3 - 2*a**2 + 8*a**2 - 2*a**2 + 1. What is g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71335337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/11, 2\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*c*d**3 + c*d**2 - 163*c*d - d**4 wrt d.\nAnswer: -1200*c - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74\/55 + -9701\/220. Let d = 39 + c. Let u = 4961\/6 - 834. What is the common denominator of u and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 - -4768) + (-14 - -20).\nAnswer: 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**2 - 94*g + 41. List the prime factors of s(15).\nAnswer: 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*p + 23*l - 25*l, 0 = -3*p + 5*l + 45 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -i, -5*c + 2*i + 0*i + 18 = 0. Solve -c = -19*f - 44 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-302)*(-33955)\/180. Let f = i + 1\/453. Suppose -18*k + 28*k - 50 = 0. Which is smaller: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, w: 1}. What is prob of picking 1 k and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6a1 - 7?\nAnswer: -6a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + z**2 - 2*z**2)*(3 + 4 - 10) + (5*z - 2*z - z)*(-z + 0*z + 0*z) - 18*z**2 - 2 + 2.\nAnswer: -29*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**2 - k. Let t be o(1). Suppose 0 = -u - t*u + 10. Let b be (2\/3)\/(u\/(-6)). Put b, 3, -3 in increasing order.\nAnswer: -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f + 8. Let h be j(-3). Suppose -k = i - 17, -k - 35 = -3*i + 20. Calculate the highest common factor of i and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 7809 (c) 1\/7 (d) 110\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.475 + 0.5. Round o to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**2 + 0*p**2 - 4*p - 5*p**2 to y*p**2 + m*p + h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2328 smaller than -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -150? (a) -3\/2 (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2042560 and 18752.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.09 + 8. Let q = -2.29 - u. Let z = q + 2. Round z to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 less than or equal to 59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1964 + -985. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1317 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/4)\/(-9) + 1870\/8568?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111585.1 micrometers in centimeters?\nAnswer: 11.15851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 1. Let q be m(1). Suppose 3 = 2*p - 3*i - 7, -2 = 3*p + q*i. Suppose 5*c = a, -2*a + 11 + 1 = p*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: What is the greatest common divisor of 2789935476 and 5592?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 70 - 38 = 0. Suppose -5*b - 33 = -2*a, -4*a + u = -0*a - 4*b. Let i = a + -3. Which is greater: i or 6\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h - 1836 = 6*h. Let y = -42 - h. Solve y*g = 9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 1 - 10. Let m(k) = -k**3 - 10*k**2 - 13*k - 12. Let w be m(b). Let s be ((-12)\/w)\/(1\/(-10)). Solve 0*r = 5*r - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/12*(30\/665)\/((-15)\/(-285)).\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5106.44 millilitres in litres?\nAnswer: 5.10644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/11*r**3 - 6\/11*r**2 - 2\/11*r**4 - 8\/11*r + 8\/11 = 0. Calculate r.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16048.9925884 - -16049. What is p rounded to 5 dps?\nAnswer: 0.00741","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (189\/210)\/((-6)\/(-10)). Let y(v) be the second derivative of 0 + i*v**2 + 3\/2*v**4 + 1\/10*v**6 - 3\/5*v**5 - 2*v**3 - 5*v. Factor y(l).\nAnswer: 3*(l - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let x(b) be the first derivative of 1963*b**2\/2 + 1371. Determine x(a(i)).\nAnswer: -3926*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2, -6*l + c + 1 = -4*l. Solve -3*z - 2*z = l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -411, -12\/11, -2?\nAnswer: -411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 160 = 72*t + 30*t. Let m(i) = 3*i**3 + 4*i**2 - 6*i + 2. Calculate m(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18181268 divided by 619\nAnswer: -29372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 0.4, 24?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 10*v**2 + 9*v + 8. Let i be z(7). Let x = i - -282. Let o = x + -95. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, t: 5, m: 1, b: 3, x: 1}. Give prob of sequence ntt.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 12134051?\nAnswer: -4\/12134051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 3*f**2 + 3*f. Let a be t(-2). Let b = -210 - -1053\/5. What is the third smallest value in a, b, -3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/19916330 and 79\/6.\nAnswer: 59748990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l = 128*l + 1005 - 157 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 10) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56? (a) -4 (b) -5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 503159\nAnswer: 6\/503159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -391, -401, -395, -367, -311, -221, -91, 85?\n\"Answer: f**3 + 2*f**2 - 23*f - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29*1832 - (-4 + 8) - -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-54) + 5 + 65987\/(-10872).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-384)\/336)\/(-3*6\/(-63)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*s - 16 = -30*s. Solve -5*r = -g + s*g - 6, 0 = 4*g - 5*r + 27 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 7*n + 20. Let x be a(1). Solve -x*c + 4840 = 4826 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631659817?\nAnswer: 29, 41, 531253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -39 - -5?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6741*d + 75750 = 5731*d for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223 + -184. Suppose -49*a + 330 = -f*a. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 4*h - 20, 33*w - 34*w = -5*h + 25 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c + 25*c**4 - 52*c**4 + 7 + 14*c**3 + 4*c**3 + 26*c**4 as l*c**4 + d*c**3 + h + t*c**2 + w*c and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60473509 or -60473500?\nAnswer: -60473500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/13 and -58\/65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 2840*t + 2016400.\nAnswer: (t + 1420)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (297\/18)\/((-133)\/38*2\/14)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -566 + 568. Suppose v*l = -3*s - 808991, -4*l = -3*s + 1748634 - 130625. Round l to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 * 1.06.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1*(-42)\/(-147).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17931339 and 531?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5156*i**3 + 551303*i**2 + 2581*i**3 - 551303*i**2 + 2586*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*i + 8 + 2*i**4 - 5 + 3*i**2 in the form t*i**3 + n*i + h*i**2 + o*i**4 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 7*t - 5*v, -120*v + 25 = 5*t - 119*v. Solve n - 4*u = 10 - 3, -t*u - 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2, 4*d + 13 = 6*d - 5*b. Suppose d*t = -2724084 - 3515916. Round t to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -105? (a) -2\/9 (b) -4 (c) 0.53 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + 0*t**2 + 0*t - 3*t**2 + 3*t + 6*t**2. Is 2 a factor of q(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 241273.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40693 + 40692.9931748. Round u to four decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2211 + 42\/((-60)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2055?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/2 (b) 0.5 (c) 0.041 (d) 16\/35 (e) 10 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -68.1759\nAnswer: -67.9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 695856504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:29 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 62710.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3646.14 times 2?\nAnswer: -7292.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24851 = -372*m - 29784 - 421 for m.\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 17*v**3 + 2*v + 1. Let n be i(-1). Let h = 34 + n. Suppose 5*z - 10 = 5. Solve z*x = 7*x - h for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 2.1. Let n = 5 - 4.5. What is the closest to x in n, -4, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -4*o, -3*o + 4 = -2. Calculate the least common multiple of 4 and t\/(-2) - (-7 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 1 + 3*i - i + (-3 + 2 + 0)*(-5*i + 4*i + 2*i) - i - 3*i + 8*i + (19 + 11 + 40)*(-2*i - i + 4*i).\nAnswer: 75*i - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + 119*j - 35. What is b(60)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 20 + -7 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 35 = -5*m - 10, 15 = 3*m - 4*x. Suppose -2*r - 2*a = -22, m*r - 13 = 4*r + a. What is the highest common factor of 24 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 34*c + 16. Calculate the remainder when f(34) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/2*-10*32\/120.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 - -27. Let z be (-6)\/a - 57\/(-3). Find the first derivative of -2*i**3 + 2*i**3 + 2 - z*i**4 + 11*i**4 wrt i.\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (((sqrt(5) - (sqrt(5) - sqrt(15)\/sqrt(3))**2) + sqrt(5) + 0)*-4 - (((sqrt(120)*-1 - sqrt(120)) + sqrt(120))\/sqrt(4))\/sqrt(6))).\nAnswer: -28*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*t = 6*t - 34 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(-a + 0*a + 2*a) + 49*a + 356 - 356)*(-3*a + 5*a - 3*a + (-4 - 1 + 3)*(-7*a + 0*a + 2*a))*(-2*a**3 + 0 + 0).\nAnswer: -900*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 6*n**2 + 4*n - 6. Let f be t(5). Let p = -5.57 + 5.97. What is the nearest to f in -5, 0.01, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -334.4 - -392. Let l = 58.6 - n. What is the third biggest value in 0.05, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q + 65*q - 3*q**2 - 35*q - 192.\nAnswer: -3*(q - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -21 + 3. Let a be (0 + (-5 - -1 - s))*0. Solve a = -4*i + 2*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -24*i - 40. What is the smallest common multiple of 112 and m(-6)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23340 - 1?\nAnswer: 23334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -4449.\nAnswer: -1\/4449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/4 and -71\/28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 minus 6577994223?\nAnswer: -6577994110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/19 in -1\/10, 1\/4, -1\/6, 5, -20\/17?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2530.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(139*h**3 - 155*h**3 - 157*h**3).\nAnswer: -519*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -183*i - 12. Let h(n) = 24523*n + 1611. Calculate -4*h(p) - 537*l(p).\nAnswer: 179*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*sqrt(832)*5)**2.\nAnswer: -960*sqrt(13) + 332809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-166)\/(-10) + 34\/85. Suppose l*u - 16*u = 362. Suppose -94 = 4*f - u. What are the prime factors of f?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65080 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -1\/10*d**2 - 1\/5*d - 1\/10 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.031416362586 and 18.\nAnswer: 17.968583637414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 139435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 1231?\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -21 (b) 42 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/(-765)*-162)\/(3\/(-8)*-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 29, 5 in ascending order.\nAnswer: 5, 18, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1b8?\nAnswer: 1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - x**2 + 2*x - 2. Give a(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 36*g**2 + g + 19. Let y(x) = 36*x**2 + x + 15. What is -5*u(r) + 6*y(r)?\nAnswer: 36*r**2 + r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ca763 (base 14) to base 13.\nAnswer: 29ca20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-36)*-9*4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/3 + 32*n**3\/3 - 16*n**2 - 128*n\/3 + 224\/3 = 0. What is n?\nAnswer: -2, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 551019 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/24 of a minute?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*c + 10. What is the remainder when 191 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 9*w**2 + 15*w - 6. What is the hundreds digit of y(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -635*x - 22. Is r(-2) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 26619379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*i**4 + 35598*i**3 - 331*i**2 + 4070*i?\nAnswer: -72*i + 213588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 12. Let h be a(8). Let z be 4\/(h\/(-15))*1. Let m be z - 0\/(-1) - -3. Is m > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5. Let y(h) = -h - 5. Let d(p) = -4*k(p) + 3*y(p). Let v be d(0). Solve -3*x + 26 = -5*n - 8, v*n + 25 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 286 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7.1681831 - -52743\nAnswer: 52735.8318169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 49. Let y be c\/4*(-3 - -587). Is y + 3\/(-6)*-2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**5\/30 + 11*s**4\/6 + 80*s**3 - 3238*s**2. Factor v(j).\nAnswer: -2*(j - 30)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/5 - 8294*s**2\/5 + 8594656*s\/5 + 8602952\/5 = 0. What is s?\nAnswer: -1, 2074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, 818, 0, -1\/4, -0.57, -2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -19. Put 5, -4, j in descending order.\nAnswer: 5, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12628 - -12633. Solve -10 = j*b, -5*y + 2*b = -3*b + 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 - -550. Let t be 200*(-1 - p\/3). Round t to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10 + 1)\/(-1*1). Let r = -10349 - -10346. Sort r, 1, t in descending order.\nAnswer: t, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606862 divided by -5?\nAnswer: -1606862\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v + 25*v - 18 = 0. Is 0 - (-477 + v\/3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, k: 2, d: 12, f: 1, s: 1}. What is prob of picking 2 k?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*k, -5*y + 5*k + 30 = 0. Suppose -q + 2*o = -10 + y, o + 17 = 5*q. Let h be (0 - -2 - q) + 1. Is -0.1 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 3\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3239 minus 23?\nAnswer: -23.3239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 54956.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2991*a - 20798. Give f(7).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(76)\/(sqrt(72) - -3*sqrt(72)))\/(sqrt(4)\/(-3*sqrt(242) - sqrt(2))).\nAnswer: 17*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -142 - -228. Calculate the remainder when z is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69132 to the nearest one hundred.\nAnswer: 69100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 348.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159.86 - -35201735.384.\nAnswer: 35201575.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -5. Let c(t) = -m*t + 0*t - 5*t. Let x(d) = -6*d - 20. Let h(i) = 4*i + 12. Let n(b) = 5*h(b) + 3*x(b). Determine c(n(g)).\nAnswer: -26*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4*g. Let a(i) = -2*i - 22. Give a(o(y)).\nAnswer: 8*y - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 138*n**4 - 79*n**3\/3 - n**2 - 346. What is the third derivative of l(k) wrt k?\nAnswer: 3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 11*i**2 + 426*i - 4983. What is a(12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n - 2*n + 4*n + (2 + n - 2)*(1 - 2 + 3) + 1 - 1 + 2*n + n + 3*n + 2*n in the form q + w*n and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 505876 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3926*u**6 + 2*u**3 + 68477*u**2 wrt u.\nAnswer: 471120*u**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -6*v + 0 + 0*v**2 - 7\/3*v**3 + 1\/3*v**4. Find the second derivative of q(c) wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2859733 hours in nanoseconds?\nAnswer: 1029503880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r - 47*r = -6. Let y = 8.15 + -0.15. Let m = 8.4 - y. What is the closest to 0 in m, 3\/5, r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -4*x + 10. Suppose 0 = 3*d + 2*k - 22, 0 = 3*k + 12. Let b = x + d. What is the closest to -2\/5 in 5\/4, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58420 = k + 16967. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 15 = 3*d, 5*d + 3*i - 34 = -5. Suppose 0 = 4*t - d*b, t + 2*t - 5*b = -10. Suppose -5*p + 3 = t*g - 52, -2*g - 3*p = -24. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 3:08 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = b, b + 0*b + 5*f - 7 = 0. Let l(r) = 1 - r**2 - b*r**2 - 1. Let m(p) = 7*p**2. What is m(l(t))?\nAnswer: 63*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/7 + (-117)\/(-21). Suppose -4 = -4*i - j, 16 = j - t*j. What is the tens digit of 41 + 1\/(-2)*i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 9*i**3 + 8*i**3 - 3*i**2 + i - i + 4. Calculate f(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10131793141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 3*m - 2. Let k be q(-2). Let o = 19 + k. Solve -5*i = -0 - o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6717281 * -17.\nAnswer: 114193777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 8*z + z)*(0*z + 3*z - 4*z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 2\/9*k**2 + 0*k - 5\/18*k**4 - 1 + 2\/9*k**3. Factor a(o).\nAnswer: -2*o*(o - 1)*(5*o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -2*j + 3, 3*z - 3*j - 156 = 0. Let d = -2 - z. Let u = d - -81. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 14222*z - 4. Let c be t(-18). What is c rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*b - 50. Let z(h) = -10*h**2 - 5*h - 11. Let j(g) = 5*g**2 + 2 - 2*g**2 + 4*g**2 - g**2 + g - 4*g**2. Calculate b*j(i) + 2*z(i).\nAnswer: 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 10. Give b(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*s + 123, 5*n + 2*s + 60 = -58. Suppose -3*q - 46 = -5*v, v - 38 = -2*q + 5*q. Let u = q - n. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -241429.0012 + 241258. Let f = -171 - n. What is f rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124.611 rounded to zero dps?\nAnswer: -2125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173953?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 + -2.15. What is the second smallest value in 2, 0.08, o?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 5*b**3 + 4 + 0*b**3.\nAnswer: 4*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -376 - -671. Let m = t + -291. Solve -m*b = -3*r + 8, -7*b + 22 = 5*r - 5*b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3482, -6967, -10492, -14075, -17734, -21487, -25352, -29347?\nAnswer: -33490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 151119290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5 - 14) + 6 + (-1 - -33)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7830.645 centuries?\nAnswer: 9396774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*l - 19. Let j = 6 + -6. Suppose -2*u - l + 14 = j. Solve 0 = 4*f - q - 14, -u*q = f - 3*f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, 5, 34, 75, 128?\n\"Answer: 6*c**2 - c - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6, -2*y + 12 = 4*s - 4*y. Suppose w = s*x + 102, -4*w - w + 405 = x. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - 9*3\/9. Let u be q + (-57)\/(-18) + -4. Let i be (-11)\/(-30) - (-2)\/15. What is the closest to 0.2 in u, i, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -3\/7*x**7 + 0*x**3 + 25\/112*x**8 + 0*x**4 + 0*x + 0 - 80*x**2 - 2\/5*x**5 - 9\/10*x**6. Factor k(y).\nAnswer: 3*y**2*(y - 2)*(5*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854307517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7920 = 3*k + 2*c, 1931 = k - c - 714. List the prime factors of k.\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -1 + sqrt(11) + 4 + 5 + sqrt(11)*-3)**2 + ((2*-2*sqrt(99))**2 - ((sqrt(99) + 0)*4)**2).\nAnswer: -16*sqrt(11) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1193460275?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 132*f - 136*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - b + 2*b)*(-b - 5*b + 5*b)*((3*b - 2*b + 0*b)*(1 - 5 + 2) + 3 - 3 - 5*b)*(4 - 3 + 1).\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 6*x**2 + 8*x + 5. Let t be c(-6). Let b = 45 + t. Suppose 0 = 5*v - v + q - 942, 936 = 4*v - b*q. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-46 + 34) - (-14 - (-1 + -1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11287580 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 20, 24, 26, 26, 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h - 2*h**3)*(-435*h + 230*h - 367*h)*(-5 + 1 + 6) as i + q*h**3 + y*h**4 + s*h + u*h**2 and give y.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4749 + 4680.66. Let n = -69 - h. Let x = -0.3 - n. What is x rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:12 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 15*s**2 + 682*s + 725. Give i(-44).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7431143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170*k**2 - 168*k + 2.\nAnswer: -2*(k + 1)*(85*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1100) - sqrt(11) - (sqrt(55)\/sqrt(5) + 4))*-4 + (sqrt(11) + (2*sqrt(66)\/sqrt(6))**2 + sqrt(11) - ((1 + sqrt(704))**2 + sqrt(11))).\nAnswer: -645 + 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161382924 times -0.5?\nAnswer: 0.080691462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.5, -4, -1, -3\/7, -58?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1228779*c**3*m*z**4 + 2*c**3*m - 2*c**3*z + c**2*m*z + 7*c**2*z + 8*c*m*z**2 - 5*m*z**6 + 2349*m*z wrt z?\nAnswer: 29490696*c**3*m*z - 600*m*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5 - 24*w**4 - 66*w**3 - 72*w**2 - 27*w = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110100 - -1011111001?\nAnswer: 1000000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (1 + 343\/63). Let g = -3.4 - -0.4. Let s = g + -2. What is the smallest value in a, s, -1\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 251919 and 40161?\nAnswer: 2771109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-38)\/4) - 1*(-16)\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 103. Let d(i) = i. Determine -2*d(x) + g(x).\nAnswer: -2*x**2 - 2*x + 103","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - a + 34. Let o be w(0). Let s = o + -2. Suppose 3*f - 4*b - s = 23, -f + 25 = -3*b. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9751 - 0?\nAnswer: -9751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*8337.\nAnswer: -833.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 422447 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/(-4))\/2 + 12*1. Let o be (8 - r)\/(2\/(-16) - 0). Is 436\/o - 6\/(-8) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 9752201.\nAnswer: -975220.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1829, 1663, 1497, 1331, 1165?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 249.20004 months?\nAnswer: 0.02076667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4) + 170\/8. Suppose -d = j + 9. Let y = -14 - d. Let i(h) = -6*h**3 + 16*h**2. Let a(v) = -v**3 + 3*v**2. Determine y*a(g) - 3*i(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) -7 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*s**4 + 32*s**4 + 2*s + 16*s + (s + 1 - 1)*(-s**3 - 2*s**3 + s**3) - s**4 + 5*s**4 + 0*s - s.\nAnswer: 10*s**4 + 17*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.49 times 0.696?\nAnswer: -1.03704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 12549\nAnswer: -301176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 140339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 4*f**2 - 22*f - 3. Let x be y(-7). Suppose t - x*b + 323 = 2*t, 5*b = -t + 324. What is the highest common divisor of t and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**5 + q**3 + q**2 + 13. Let t(m) = -12*m**5 + 70*m**4 + 74*m**3 - 98*m**2 - 56*m + 56. Let f(h) = 4*o(h) - 2*t(h). Determine y so that f(y) = 0.\nAnswer: -1, 3\/8, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 383*h**5\/10 - h**3\/3 - 605*h**2\/2 + 1381*h. Find the second derivative of x(v) wrt v.\nAnswer: 4596*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/247806 and -89\/321230.\nAnswer: 8673210","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 78*z + 50*l - 46*l = 76*z + 16, 1 = -z + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/19)\/(-11*(-36)\/198).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + 1 + 1 + 9 + 1 + -2 + 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 485 = 5*r - 5*n - 476, -290*n = 4*r + 1180 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (196\/(-4655)*(-25)\/(-2))\/((-332)\/3154)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -437, -523, -675, -899, -1201?\n\"Answer: -b**3 - 27*b**2 + 2*b - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-35)*588\/(-56).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -3 (c) 5\/3 (d) 67902\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**12*u*u**(-12)*u*u**7*u**(-15)*u*u assuming u is positive.\nAnswer: u**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 54, 23 in descending order.\nAnswer: 54, 23, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/128329 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence owow when four letters picked without replacement from wowocccrorbrrrbccr?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*m**3 + m + 301*m**3 + 17*m**3 - 5 - 2*m.\nAnswer: 431*m**3 - m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -329 + 329 + 53*g to the form s + z*g and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**2 - 73*r + 78. Let u be v(1). Which is the nearest to 0.1? (a) u (b) -2\/3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.142 in 0.014, 5, -0.3, -2\/7, -1\/2?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + 54999966032.\nAnswer: 54999966036.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 12*f - 67. Let x(l) = l**2 + 106*l + 1726. Let y be x(-20). Calculate m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2600.24 or 44?\nAnswer: -2600.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) -3\/5 (c) -1 (d) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01596 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 940 - 1062. Which is smaller: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 213\/17 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/3 + 859427*f**3\/3 + 143238*f**2 = 0. Calculate f.\nAnswer: -1\/2, 0, 429714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -26. Suppose 2 = t + 3. Let u = 3 - t. Solve -o*m + 3*w = -0*w - 5, -m + u*w + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -105?\nAnswer: -19\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 42 - 22 + 49*a**3 + 202*a**3 + 30*a - 253*a**3.\nAnswer: -2*a**3 + 30*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 399472013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8672150090.\nAnswer: 2, 5, 109, 7956101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.83593 hours to milliseconds.\nAnswer: 35409348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b + b - 2*b + (-1 + 13 + 11)*(4*b - 4*b + b))*(97*b + 168*b**3 - 97*b) as m + o*b + u*b**3 + y*b**4 + k*b**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 10:57 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x**5 - 1795*x**4 - 13075*x**3 - 26165*x**2 - 6450*x = 0. Calculate x.\nAnswer: -43, -5, -3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 2*v + 3. Let t be p(-3). Suppose t*o = -4*o + 200. Let j = 2443 - 2421. Calculate the remainder when o is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 20 = -k. Let o be 6*(-1)\/((-3)\/k). Solve -p = 4*p - o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200251613 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((73 - 80) + 11 - (1 + -11)) + 12\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**10\/10080 + x**8\/1120 - x**6\/240 + x**4\/12 + 2*x. Let l(r) be the third derivative of u(r). Factor l(a).\nAnswer: -3*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -1. Let r = -4.8 + 37.3. Let k = r + -32. What is the second smallest value in k, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**4 + o**4 + (7*o**2 - 3*o**2 - 2*o**2)*(o**2 - 2*o**2 + 3*o**2) - 2*o**4 + 4*o**4 - 3*o**4 + (0*o - o**2 + 0*o)*(3*o**2 + 0*o**2 - o**2).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -10*f. Let d(t) = -157*t**2 - 3. Give d(m(z)).\nAnswer: -15700*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-6)\/(-18)*-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 168 = 3*t, t - 256 = -4*t - g. Suppose -4*x + t = -20. What is the remainder when 71 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 1428782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 + 1 + 15*j**2 + 8 + 3 + 7*j + 3*j**3. Is k(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**2 + 2*h - 1. What is the units digit of n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100001011101001111 (base 2) to base 15.\nAnswer: 23b988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 25110*m**2 + 501400*m.\nAnswer: 2*m*(m + 20)*(m + 12535)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 12:27 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/56 and -49\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 7*x**2)*(43 - 43 - 23*x).\nAnswer: -161*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in 21, 0.1, 4, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -9, -0.256484, -0.4?\nAnswer: -0.256484","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 9:19 PM?\nAnswer: 12:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -8. Suppose q = -2*d - 13 + 57. What is the greatest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.4 + 14.4. Let r = o + -13.00000033. Round r to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -313*r**4\/4 + 5*r**3\/3 + r**2 - 4*r + 2. Suppose -4*y - 12 = -y. Let b be l(y). Round b to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -19, 3, -2, -4 in descending order.\nAnswer: 6, 3, -2, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*u + 10 + 9, u - o = 7. Suppose 0 = 3*h + 2*h - 10. Let c = 2436 - 2432. Solve u*z - 3*g + h = -5, -c*z = -4*g + 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209142 is divided by 290?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2. Let u(z) = -811568530*z. Calculate u(w(y)).\nAnswer: 1623137060*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 358 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -81 + 132. Let n = s - 51. Let x(f) = n*f**2 - 7*f**2 + 3*f - 2*f. What is x(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 49*n - 50. Let z be g(-50). Sort z, 6, 3.\nAnswer: z, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -b84?\nAnswer: b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -3 - 4) + 5 - (-31 - -78).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10105269 is divided by 459329?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -89, -41 in increasing order.\nAnswer: -89, -41, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + ((-576)\/(-168) - 2\/2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8651003 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 284 - 710. Find the common denominator of (c\/16)\/(27\/6) and 65\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2960, 3248, 3536, 3824?\n\"Answer: 288*z + 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 10:23 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.063 - 53828264.\nAnswer: -53828263.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(-2)\/6 + (3 - (-8 - -11)). Let g(i) be the first derivative of 19 + 0*i**2 + 1\/3*i**3 + a*i. Let t(x) = 14*x. Give g(t(j)).\nAnswer: 196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 724*d**2 + 195*d**2 + 723*d**2.\nAnswer: 1642*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6216 and 2016?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.81 > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Let s(o) = -2 + j - 5*o. Let x(t) = t - 1. Let u(w) = 9*w - 5. Let k(b) = -u(b) + 5*x(b). What is k(s(y))?\nAnswer: 20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 7776*u - 7772*u - 16 = 0, 3*u = 8*r - 2*u + 23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 26, -16, 5, 1, -1, 4 in descending order.\nAnswer: 26, 5, 4, 1, 0, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176734*a - 174286*a - 7*a**3 + 13*a**3.\nAnswer: 6*a**3 + 2448*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*g - 20, g + 4*i - 8 = 3*i. Find the common denominator of g - (-32)\/(-11) - -1 and -43\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from gzcgglcozzcfl?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -3. Let q = i - -4. Suppose -52 = -4*o + 6*k - 2*k, q = 4*o + k - 57. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w + 1. Let s(t) = -4*t**3 + 6*t**2 + 5*t - 7. Give -s(a) - 4*x(a).\nAnswer: 4*a**3 - 2*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:22 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -59\/1450?\nAnswer: -59\/1450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -42140 (base 8) in base 9?\nAnswer: -26008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.1 (c) 14 (d) 3.7 (e) 0 (f) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**3 + 870*z**2 + 269*z + 2634. Calculate t(-124).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 284 and 2734210.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*b**5 - 6*b**3 - 13018*b wrt b.\nAnswer: 2300*b**3 - 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26765 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -433691752.3 - -433691859.30521245. Let d = 21.00520615 - h. Let w = -86 - d. What is w rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13022\/11 - -1184. Factor 0 + 0*z - h*z**4 - 8\/11*z**3 - 6\/11*z**2.\nAnswer: -2*z**2*(z + 1)*(z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238036*m + 5031 = -237919*m for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -l + 5. Suppose -l*u = 2*u - 110. Calculate the remainder when (-35 - -54) + -25 + (0 - -93) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 5*h**2 + 123*h - 765. Give s(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -13\/3. Which is bigger: j or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/8*(2 + 18). Suppose -123 - g = -4*o. What is the greatest common factor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -2. Let q = 2 + g. Let u = 16.007 - q. Round u to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 400 - 400.1. What is the nearest to 0 in 2\/13, w, -4, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/3)\/((-6)\/1494). Let d = -331 - m. Let k = d + -27. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 223?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -55.\nAnswer: 13\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3792441*u**2 + 3792441*u**2 + 69*u**3 - 32*u**3 + 16*u**3.\nAnswer: 53*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -2*v + 3*n - 113, -n + 2462 = v + 2411 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 23*l**2 - 26*l - 776. What are the prime factors of d(-27)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 109\/1644? (a) 5 (b) 1\/2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.54? (a) 12.22 (b) 0 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47033, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - -3044?\nAnswer: 304b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w - 11*w - 2*w + 2 + 128*w**2.\nAnswer: 128*w**2 - 32*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 39. Let k(v) = -7*v + 6. Let l(i) = -76*i + 35. Let s(h) = 26*h - 11. Let a(f) = 3*l(f) + 8*s(f). Calculate j*k(m) - 6*a(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 9)*(-2*h - 6*h + 0*h - 1).\nAnswer: 40*h + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 2990, -1 in increasing order.\nAnswer: -9, -4, -1, 2990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1803 + 1786 + 29 + (-1 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -350.\nAnswer: -4200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 13, -6.7, -1\/2, -1, -0.03?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w - 1. Let j(a) = 2*a**2 + 19*a - 6. Let n be j(-8). Let h be n\/(-15) - 3\/(-1). What is c(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -2*a - 10, 20 = 3*o - 4*a. Suppose -6 = -o*c - 2*c. Suppose -2*m = 0, -3*n + c*m + 42 = -0*n. Calculate the smallest common multiple of 22 and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -246064847, -492129696, -738194545, -984259394?\nAnswer: -1230324243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 15*o - 27. Let j(m) = -m**2 - 2*m + 3. Let v be j(0). Let i be 7\/((-35)\/(-18))*10\/v. What is the units digit of t(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507471 (base 9) to base 16\nAnswer: 496c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from ppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4749 + -85517\/18. Calculate the common denominator of s and 19\/((-4636)\/(-45))*4\/20.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -11328131880?\nAnswer: -11328131879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 1. Suppose 0 = 2*h - 1 - 3. Let c be h\/((-3)\/((-27)\/(-6))). What are the prime factors of n(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121 + (84 - 44) + -132.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -26. Calculate the remainder when b\/4 + (-1 - -6) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*p, -t + 133808 - 39045 = -4*p. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**3 - 5*s + 4. Let o(z) = 3*z**3 + 3*z - 2. Suppose 3*j - 4*d = -2*d - 23, 4*j = 2*d - 28. What is j*o(h) - 3*b(h)?\nAnswer: 3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + p = 0, -14*l + 12*l = p - 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07226 - -0.072254729. 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: What is 3 take away 85007.61303?\nAnswer: -85004.61303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341293959*a**2 + 116378163*a?\nAnswer: 682587918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -404281422 and 33275?\nAnswer: 404314697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000612 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 6. Let f be b(11). Let g(q) = -3*q**2 + 5*q - 5. Let r(x) = -8*x**2 + 14*x - 14. What is f*r(n) - 14*g(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - 2*j**2 + 4*j + 2. Let q be z(-4). Let h be (-6)\/5*(-420)\/q. Calculate the highest common factor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-840)\/360 - (3\/18)\/(2\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2106 or -3.888?\nAnswer: -2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-7)\/25)\/((-76)\/285)*1 and 63\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:57 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3082449031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/1122)\/(3\/((-24)\/32)).\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 + 10\/20. Suppose o - 3 = 0, -i - 6*o + 4*o + 2 = n. Suppose 3*t + 0*t - v = -12, 4*t + 4*v = -16. Is t at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1184230560 + 0\nAnswer: -1184230560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**2 + 39*d + 40 = 0.\nAnswer: -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**2\/(j**(2\/5)\/j))\/((j\/((j\/(j**(-1\/8)*j))\/j))\/(j\/(j\/(((j\/(j**(-2\/5)*j))\/j*j)\/j)*j))))**(-20))**(-2\/25) assuming j is positive.\nAnswer: j**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*0.28.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s - 37. Let o be m(-3). Let t = -77 - o. Let i(p) = -1. Let y(x) = -x**3 - 6. Determine t*y(k) + 4*i(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/(-27))\/(2\/24). Let y = 8 + b. Suppose -3*j = -4*u - 116, y*j = -0*j. Which is bigger: -28 or u?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2449, -2462, -2491, -2542, -2621, -2734, -2887?\nAnswer: -3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (38 - 27 - 29) + 59\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 16}. Give prob of sequence ll.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -15*o + 3\/2*o**2 - 1\/4*o**4 + 0 + 0*o**3. Find j such that p(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-5))\/(3\/(-30)). Suppose x = -0*h + h. Let r = -5 + h. Solve r*v = v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 5*a = -18, -5*z - 462 = -2*a - 449 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 6) in base 14?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7863*s + 18835. Let c(h) = 1966*h + 4707. Let t(q) = 9*c(q) - 2*w(q). What is the derivative of t(r) wrt r?\nAnswer: 1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3528 and -103\/1078?\nAnswer: 38808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1243 - -1247. Let k(v) = v**2 - 4*v + 2. Let y be k(2). Which is the nearest to y? (a) r (b) -2\/3 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/10 + (-4)\/10. Let j(m) = -m**3 + 4*m**2 + 9*m + 6. Let y(q) = -q**2 - q - 1. Let t(x) = h*j(x) + 5*y(x). Suppose 2 = -4*s - 10. What is t(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141284, 282566, 423842, 565112, 706376, 847634, 988886?\nAnswer: 1130132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -1\/50376 (c) -0.3 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -28*d**4 + 8*d**2 - 8*d - 31. Let n(v) = -9*v**4 + 3*v**2 - 3*v - 10. Let l(j) = 8*n(j) - 3*s(j). What is the first derivative of l(f) wrt f?\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340*11\/132)\/(72\/216).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 65. Let u be (24\/(-14))\/(-5 - 204\/v). Calculate the greatest common divisor of 96 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 51349, 1, 0 in decreasing order.\nAnswer: 51349, 1, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2*(-1 - -1). Let m be -1 - (l - (-2 + 4)). Let r = m - -1. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/75 of a week?\nAnswer: 32256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 2222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59\/4 - 61\/4. Let a = 0.6 + -0.4. What is the second biggest value in 2\/13, 1, h, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -5.8, -4, 0.5, 460.3 in descending order.\nAnswer: 460.3, 0.5, 2\/7, -4, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*c + 10*c + 8*c**2)*(3 - 1 - 4).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + r + 4, r - 4*r - 12 = -3*u. Solve 7*h + 38 - 45 = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 6) to base 4\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (588\/(-1260))\/(((-108)\/15)\/(-3))*4\/28?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3726228?\nAnswer: 2, 3, 11, 28229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**2. Let v(o) = -o**2 - o. Let j(g) = -10*g**2 - 3*g. Let m(n) = j(n) - 3*v(n). Let i(h) = 7*m(h) + 6*s(h). Let c(z) = -z. Calculate i(c(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the second derivative of -5*k**4\/12 + 4*k**3\/3 + 1583*k - 1. Let x(t) = t. Calculate x(a(l)).\nAnswer: -5*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 6*n**2 - 6*n - 26. Let x be 312\/(-48)*(-8)\/52. Let y(j) be the first derivative of j**3\/3 - j**2\/2 - j - 1. Let r(c) = x*h(c) - 2*y(c). Factor r(w).\nAnswer: 4*(w - 3)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -0.0621?\nAnswer: 0.2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-14) + 2\/7. Let v be 3 - 1 - (0 + u). Let s = v - -10. What is the remainder when 18 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -32*n - 5. Let z(u) = -21*u - 3. Let y(k) = -5*a(k) + 8*z(k). Suppose -2*d + 0 + 2 = 0. Suppose 0*b + d = -b. Give y(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*j + 9*j + 70 + 132*j**2 + 180*j**2 + 44*j - 70.\nAnswer: 312*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 846905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -42. Suppose -39 = j*p - 15*p. Put p, -8, 5 in ascending order.\nAnswer: -8, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 36. Suppose 4*d = -v - v - 8, 0 = -2*d + 4*v + k. Let h(x) = x**3 + 1 + 8*x**2 + 8*x**2 - 15*x**2. Calculate h(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 (base 16) to base 12\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -180. Let b = 100 - f. Find the third derivative of -b*u**2 + 26*u**4 - u**2 + 0 + 0 wrt u.\nAnswer: 624*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b + 10e?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 - (-23 + 17 + -89)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9510883 nanoseconds to hours.\nAnswer: 0.00000000000081974675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**3\/2 + 55*v**2\/2 + v. Let w be n(0). Suppose 5*p = 80 + w. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5759*c + 129881 = -4574*c + 5650*c - 157189 for c.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**2\/r)**17)**(-5\/8) assuming r is positive.\nAnswer: r**(-85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-2) + (-27)\/(-2). Let k(l) = l - 2. Calculate the remainder when 68 is divided by k(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16147635 and 1845444?\nAnswer: 64590540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4363 divide 360209280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 1\/6*a**3 - 1\/12*a**4 + 0 + 0*a + a**2 - 1\/120*a**6 + 1\/30*a**5. Calculate j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, a: 3, q: 6}. Give prob of picking 1 j and 2 a.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 10:34 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n - 34712 - 41598 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:33 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 8 - (-1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2496892.8 months to decades.\nAnswer: 20807.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykb when three letters picked without replacement from {b: 8, p: 2, k: 1, y: 2}.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 28601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 944*l = -151264 + 148432 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -1.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:35 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - 209*d**2 + 3*d - 2*d.\nAnswer: -209*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26365\/4 - -6558. Is q equal to -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -29388.\nAnswer: -29393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.47 - 0.11. Let n = -6.6541 + 0.2941. Let l = n + f. Which is the nearest to 0? (a) 1\/4 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3546 + 0?\nAnswer: 3546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 3, k: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (59 - (-5 + 3)) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*q = -503*q - 2007 + 5527 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*u + 1)*(-171438*u + u**2 + 150*u**3 - 1 + 171445*u + 1).\nAnswer: 450*u**4 + 3*u**3 + 21*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 2\/3*v**2 + 0*v + 2\/3*v**4 + 4\/3*v**3 = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3. Let y be a(1). Suppose 0 = y*r + 3*h - 22, 4*h - 2*h = -4*r + 20. Find the second derivative of 13*t**4 - t**5 - t - 13*t**r wrt t.\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56)\/(-21) + -3)*36\/3. Does k = 1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -5*j - 6. Suppose -5 = j*b - 17. Let p(l) = 5*l**2 + 0*l**b - l - 4*l**2. Determine p(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2056143.\nAnswer: 3, 685381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 347393 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149954, 150594, 151246, 151916, 152610, 153334, 154094, 154896?\nAnswer: 155746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 - 7) + 1)\/(1188\/(-264)). Let f = 4\/145 - 608\/1015. Let c = -0.1 + 2.1. What is the fourth biggest value in 3\/7, f, g, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 12 = y - 6, 3*y - o = 64. Solve 3*p - 13 = -l, -11*p + 12*p - y = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(136)*-1)\/sqrt(8).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/15)\/((-10700)\/1605).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0053771914 rounded to 5 dps?\nAnswer: -0.00538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*m - 14 + 14 + (-m - 4 + 4)*(3 - 3 - 2) + (-1 + 4 - 1)*(3*m + m - 2*m) + m + 3*m - 6*m + 5*m + 2*m + 13*m.\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b - 13. Let l be r(-7). Let z be 6\/(-9) - (-86)\/l. Calculate the lowest common multiple of (-26)\/(-3) + 10\/z and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**7\/2520 + 7*k**6\/720 + k**5\/12 - 4*k**4 + 2*k**2 + 7*k. Let w(b) be the second derivative of t(b). What is w(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*81\/6 + -2. Let v be -5 - (-11)\/2 - t\/2. Let f be v*(2 - (-1 + -1)). What is the highest common factor of 15 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 9771.\nAnswer: -3908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 1, -43, -139, -305, -559?\n\"Answer: -3*m**3 + m**2 + 8*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11*w + 84 = 0. Suppose 0 = 5*i + 2*u + 537, 111 - 326 = 2*i + u. Let d = -59 - i. What is the greatest common divisor of w and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, a: 2, i: 2, e: 3}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 31409?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -526*z**5 - 2*z**3 + 6*z**2 + 63360*z?\nAnswer: -10520*z**3 - 12*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -247, 0.2, 2070?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-16)\/((-512)\/48).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 32*n**2 - 168*n + 288.\nAnswer: -2*(n - 6)**2*(n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 40 = 52. Solve -4 = -4*k - d*t, 3*t - 4 = 2*k - t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 + 21*v**3\/4 + 57*v**2\/4 - 21*v\/4 - 27\/2 = 0. What is v?\nAnswer: -2, -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 greater than or equal to -617588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5440 = 6*n. What is n rounded to the nearest 100?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12231110313 (base 4) in base 9?\nAnswer: -3270210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = -0. Sort 1, -3, g in descending order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 2*t - t**2 + (-3*t - t + 3*t)*(-67 + t + 67) + (-1 + 3 - 6)*(-1 + 2*t**2 + 1) + 8*t**2 + 3*t**2 - 2*t**2 + (0*t - t + 0*t)*(2*t - 4 + 4).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 477, 127, -68, -2?\nAnswer: 477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 3*j**2 - 4*j + 4. Suppose -14 + 2 = 3*d. Let i be h(d). Calculate the common denominator of -97\/20 and i\/(-26) + (-3145)\/(-1430).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13986 and 156954?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 6023476779.\nAnswer: 6023476779.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142030 (base 5) to base 13.\nAnswer: -28b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4 + 1 + 4 - 6 + (3 + 0 - 4)*(-3 + 2 + 3) - 2 + 1 + 0 + 4 + 10 - 12)*(2 - 4 + 3)*((2*o - o - 2*o)*(-1 - 2 + 5) - o + 0 + 0).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 9, 3*b + n - 450 = 5*n. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1380, -3874, -8106, -14076, -21784, -31230?\nAnswer: -42414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -5*u + 28, m - 3*u + 13 = 3. Let p(x) = -4*x + 2. Let z be p(-1). Let a(g) = -3 + 5 + 0*g + m*g**2 - z*g. Let f(o) = o. Calculate -a(b) - 6*f(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -444*o + 2. Let q(b) = 217*b - 1. Calculate -6*h(n) - 13*q(n).\nAnswer: -157*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 46 - -51. Let j = b + -94. What is the biggest value in -1, -1\/10, j, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 144845151294 from -4.\nAnswer: -144845151298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-20) + 1 + (-44)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24460357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*j = -19*j - 3200. Suppose 0*d = 4*d - 80. Calculate the highest common divisor of j and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*l + 14*l - 12*l)*(-9 + 2 + 2) + 0*l + 4*l - 2*l + (-3 + 3 - 2)*(-l + 0 + 0) to z*l + p and give z.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2 - ((-3447)\/1881 - 5). Let m = -63\/11 + h. Let k = 5 - 0. What is the fourth biggest value in -4, k, -2, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 751.4892 months?\nAnswer: 6.26241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5503500285 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s - 3*c - 384, 0 = s + 2*c - 69. Suppose -s*i = -70*i - 1190. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -645 - -1160. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372357049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of a**5\/60 + 5*a**4\/24 + 21*a**3\/2 + 10*a**2. What is the first derivative of o(b) wrt b?\nAnswer: 2*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -6*d**2 - 9*d - 6. Let c(m) = -m**2 - 2*m - 1. Determine -11*c(a) + 2*j(a).\nAnswer: -a**2 + 4*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -127610 and -0.03958?\nAnswer: 127609.96042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j - 2. Let m(o) = -15*o**2 + 14*o - 14. Give m(g) - 6*s(g).\nAnswer: -9*g**2 + 8*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16505803 smaller than 16505727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676889 + 610675 - 101304 = -8914*i - 10857*i for i.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -5*i - 60. Let h be f(-16). Solve -4*u + 2*u + 25 = -5*n, -h = 3*u + 4*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 80 + 5459*d**2 + 136 - 214 as h*d + r*d**2 + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.054139 micrometers in kilometers?\nAnswer: 0.000000004054139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - m + 4. Let f be n(0). Suppose -287 = -f*k - 71. Let b be (5\/2)\/(9\/k). What is the highest common divisor of b and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 5*x + 8. Suppose x = -0*d + 2*d. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 71, 590, 2009, 4778, 9347, 16166, 25685, 38354?\n\"Answer: 75*f**3 - 6*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84841 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/124 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11063 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15\/2 in 4, 0.06, -5.7, 28?\nAnswer: -5.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566 + 562. Let s be (z\/(1 + -3))\/(-1 - 8). Which is the nearest to s? (a) -2\/5 (b) -0.5 (c) -3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 1 + 2 = 0. Let h(t) = -4*t - t + t**2 + 3*t + 5*t - 3. Let d be h(-3). What is the third smallest value in i, -0.3, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -24. Calculate the highest common divisor of 115 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Which is the second biggest value? (a) r (b) 0.2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*u + 3768, -4*u + 5*u + 4*t - 927 = 0. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 12:06 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 185 = 11*j + a, 0 = 3*j + 2*a - 280. Differentiate 28*f - 145*f - j*f - 273 wrt f.\nAnswer: -207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 41*v**2 + 330*v + 6. Calculate i(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/15)*d*(((d\/(d\/d**(1\/8)))\/d)\/d)\/d)**(2\/11)\/((d**(2\/7))**(4\/33)*(d\/((d*d**(-1)*d)\/d))**(1\/14)) assuming d is positive.\nAnswer: d**(-93\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24461 * 0.1\nAnswer: -2446.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 2.2, -2\/43?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, n: 7, k: 2}. What is prob of sequence tkk?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssjssjsssssjj. What is prob of picking 2 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5107 - -5110. Let o(h) be the first derivative of -1\/44*h**4 + 5 - 2\/11*h**2 + 0*h - 4\/33*h**j. Determine d so that o(d) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -240, -2, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2. Suppose 4*r + 198 + 18 = 0. Let l be 4\/(-3)*r\/36. Let t(p) = 53 - 53 + l*p. Determine x(t(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1780826815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x. Let z be x + 2 + 0 + -6. Let t = -0.1 + 0. What is the closest to t in -3, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92337100 rounded to the nearest 100000?\nAnswer: 92300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*c = 23*c + 1463 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42097463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, w: 1, r: 1, a: 2, c: 1}. Give prob of sequence wl.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = -v, m - 2 + 20 = 5*v. Suppose -v*z - 5 = -17. Suppose -3 = -4*q + 9. Solve 0 = z*w + q + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 10*a + 13. Let w be s(-11). Differentiate -3 - 2*p**4 - p + w + p with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*-6*(4 + -2 + sqrt(200))*-5 + -3)**2*-6.\nAnswer: -9920934 - 1976400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11450*t - 11472*t + 61358. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41.64*-3\nAnswer: 124.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1034.468 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 495509085 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: Is 2499647863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t\/(t\/t**(-11))*t)*t\/(t*t\/t**15*t)*t assuming t is positive.\nAnswer: t**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32566 + -12314. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(6435\/(-20)))\/((-54)\/81)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -77.8 and 0.23.\nAnswer: -77.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of 0 + 0*f - 82*f**2 + 5\/12*f**4 + 0*f**3. What is t(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p - 3. Let x(d) = d**3 + 2*d**2 - 6*d - 6. Let b be x(-3). Calculate t(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 889 is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**3 + 3*v**2 + v - 1. Let w be n(-2). Is w at most as big as -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 32*k**2 - 31*k - 204. Let m be u(-8). Suppose 0 = -5*c + 3*f + m, 4*c - f = 1780 - 105. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 20, -3.6 in descending order.\nAnswer: 20, 6, 4, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 729 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722929373 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4084187 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(77)*-1*-3*-2)\/((sqrt(28)\/(2*sqrt(2)))\/sqrt(2)).\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/8)\/j**(1\/7) assuming j is positive.\nAnswer: j**(-15\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/f**(2\/23))**19\/(f**4*f*(f\/f**(-6\/7)*f)\/f*f*f*f*f**(-6)*f*f*f**(-2\/9)) assuming f is positive.\nAnswer: f**(26149\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 279184501 a multiple of 3675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9\/5, -1\/2, -28, 0, 3\/2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**3 + 14*x**2 - 4*x + 7. Suppose -111*c = 76*c - 22*c + 1320. Give d(c).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 84\/1205, -3, 2, 0?\nAnswer: 84\/1205","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 421238 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2760170\/22532)\/((-9)\/(-2) + 0 + -2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 66 and 190.\nAnswer: 12540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*y = 6, 32 = 3*r - 3*y + 8. Solve -5*k = x + 15, r + 9 = 4*k - 4*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 - i**2 - i - 1. Suppose n = 0, 3*o + o - 4 = -2*n. Let q = 10 - 8. Let c(u) = 9*u + 1 - 8*u + u**2 - q*u**2. Give o*c(l) + z(l).\nAnswer: 2*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 + 101001011001101011?\nAnswer: 101001010110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 greater than 11996\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Let y(k) = 2*k - 8. Let f be y(o). Suppose -q + z - 221997 = -f*q, 2*z + 888006 = -4*q. What is q rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31898*l**2 - 15215*l wrt l.\nAnswer: 63796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4497, 18058, 40801, 72840, 114289, 165262, 225873, 296236?\n\"Answer: 19*l**3 + 4477*l**2 - 3*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.3, 0.141, 8, -2 in increasing order.\nAnswer: -10, -2, 0.141, 0.3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, g: 3}. Give prob of picking 1 f and 2 g.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -231, 826, -4.\nAnswer: -231, -4, 1, 826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 2*f - 2 + 2*f - 2. Let x be w(-5). Let z = 2 + x. Solve 0 = v + z*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89709455357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 1. Let p(n) = n**3 + n**2 + n + 1. Let l be p(b). Which is smaller: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5352*v**2 - 2650*v**2 - 2703*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)*-1 - sqrt(22))\/sqrt(11) + sqrt(242)*5.\nAnswer: 53*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23361 or -23569?\nAnswer: -23569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -916, -1592, -2268, -2944, -3620, -4296?\n\"Answer: -676*y - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56543, 56542, 56541, 56540, 56539?\nAnswer: 56538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**20\/l*l\/(l*l*l\/(l\/((l\/(l*l**(-14)))\/l)))*(l*l**(-4\/3))**(2\/57) assuming l is positive.\nAnswer: l**(1024\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000087888 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/10 and 111\/14270.\nAnswer: 14270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 219.482?\nAnswer: 219.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 20*s. Let j(l) = -37*l - 2. Let p(m) = -605*m - 33. Let n(x) = -33*j(x) + 2*p(x). Determine n(w(b)).\nAnswer: 220*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 132 - i**3 + 95 + 5*i**3.\nAnswer: 4*i**3 + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7391 and 1556.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuuphhwiiiuhihiiupi. What is prob of picking 2 p, 1 w, and 1 u?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6300 or -6325?\nAnswer: -6300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 5*i + 2*i)*((-5 + 2 + 4)*(2 - 4 + 3) + 0 - 4 - 1) to the form m + n*i and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.2 - -5.2. Which is the fourth biggest value? (a) h (b) -18 (c) -3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/7 of a week in days?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + 7. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 13*d + 27. Calculate g(-13).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 11:27 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001846854 to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122426872*f**5 + 2*f**3 - 123789*f + 1065.\nAnswer: -2448537440*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(((z*z**22*z)\/z)\/z)*z**(-6\/7) assuming z is positive.\nAnswer: z**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*g - 6*g - 11*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 167779553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f - 3. Let x be u(-6). Let r(i) = x*i**2 + 0*i + 0*i - 5*i**2. Let o(a) = 3*a**2. Calculate o(r(m)).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 94 and 171238179.\nAnswer: 171238273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**2 + 61*n + 117 = 0?\nAnswer: -13, -9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 150, 292, 434, 576?\n\"Answer: 142*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -3, 9, -2, 4, 88\/21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 118*m + 240*m + 35094 - 7886 for m.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*i - 72*i - 74*i + 24*i + 26*i.\nAnswer: 102*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - 88 = -34*t. Suppose 0 = -26*o + t*o + 4. Solve -3*s - 2*z = 7, 5*s + z = -o - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38325886939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0867 to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - -33. Let p = 0.6197142 - -39.3806158. Let s = p - y. What is s rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40691 greater than -41038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2153*k**4*q + 95*k**4 + 4*k**3*q - 5*k**3 - k**2*q + 14775*k**2 - 3*k*q - 3*k - 8*q - 1 wrt k?\nAnswer: 51672*k*q + 2280*k + 24*q - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c - c + 0*c + 291*c - 212*c - 164*c + (-c - 2*c + 0*c)*(-2 + 5 - 5).\nAnswer: -82*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 8:49 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, b: 5, m: 7, j: 1, f: 1, k: 2}. What is prob of sequence mj?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (14\/56)\/((-4)\/(-240)). Let d = 6 - 2. Solve -d*n = n - a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 33580.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143910?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqyc when four letters picked without replacement from qcqqyyyyycycqqfycq?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 x when two letters picked without replacement from {q: 3, s: 1, x: 6, v: 1, t: 1, a: 6}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) -0.23 (c) 0.1 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 3*s**4\/4 - 4*s**3\/3 + 3*s + 35. Does 6 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 1, n: 3, y: 8, b: 4}. What is prob of sequence bbe?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1286254 to two decimal places.\nAnswer: 1.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 912.9537ns to hours.\nAnswer: 0.00000000025359825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - 5 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 9 + 20*t - 38*t + 17*t. Let w be h(4). Solve -20 - 5 = w*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117040 and 2775710.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 34. Solve 58*h - 60*h = -v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26312 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/4 + 378509*r\/4 - 94627.\nAnswer: -(r - 378508)*(r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) -0.1 (b) 1\/53 (c) 0.5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 976233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.138 - -0.22. Let v = b + 1.408. Let l = v - 1.48999941. Round l to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1 - 0)*0. Suppose y = -9*c + 1889 + 424. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 55 + 50 = 0. Suppose -3*j + 11 = 3*w - 5*w, 5*j = -5*w - f. Sort w, 3, 0.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/7)*m*(m\/(m*m**8)*m)\/m)\/(m**0)**(-35)*((m**3*m)**28)**11 assuming m is positive.\nAnswer: m**(8574\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2009 + -2046.24. What is s rounded to zero decimal places?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g + 173 = 125. Solve -r + 5*r + g = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-1564)\/(-8))\/(-17)*-4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 1381412.6284.\nAnswer: -1381412.3284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6829 - 6829 + 786*u + 1065*u as i + j*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 3?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 652 - 345. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -37*h**3 + h + 1. Suppose 247*i + 12 = 235*i. Give y(i).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 27. Let j = d + -14. Let l be 4\/5*(-3)\/6*1. Which is the closest to -1\/4? (a) l (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, k: 1, j: 6, v: 3}. Give prob of picking 1 u and 1 k.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82\/3*z - 3362\/3 - 1\/6*z**2.\nAnswer: -(z + 82)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 + -7?\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 452*t**2 + 18*t - 13. Let y(q) = 220*q**2 + 8*q - 7. Let z(k) = -4*l(k) + 9*y(k). Let m(j) = -57*j**2 + 4. Calculate -11*m(c) - 4*z(c).\nAnswer: -61*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 106640 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a\/a**(-2\/7)*a*(a**0\/a)**25)\/((a*a**(2\/7)*a)**(1\/14)\/(a**(-1)\/(a\/(a\/(a*a**(-4)))))) assuming a is positive.\nAnswer: a**(-827\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 0.0219\nAnswer: 0.0001971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.15872 * 0.3\nAnswer: 0.047616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17147397*j*k**2 - 622728*j - 2*k**4 + 2*k + 110 wrt k?\nAnswer: -34294794*j*k - 8*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*w = 3213547 - 3217667 for w.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f**2 - 50*f - 29. What is d(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*m**3 - 176*m**3 + 59*m**3 + m)*(-5*m + 4*m - 2*m).\nAnswer: 153*m**4 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 9. Let d(o) = -o**2. Let g be d(1). Put g, m, 5 in descending order.\nAnswer: 5, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**6\/105 - 13*f**5\/70 + 29*f**4\/21 - 36*f**3\/7 + 72*f**2\/7 + 3275*f. Factor i(t).\nAnswer: 2*(t - 6)*(t - 3)*(t - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77400*b + 1350*b - 87154*b + 1.\nAnswer: -163204*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1422, -2837, -4242, -5637, -7022, -8397, -9762?\n\"Answer: 5*u**2 - 1430*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85942537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 60. What is the highest common divisor of 12 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 208\/5 - 41. Let l be 2107\/35 + (-1)\/5. Let y = 479\/8 - l. Which is the third smallest value? (a) f (b) y (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-36))\/(-39*140\/(-12285))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*x - 0*a - 12, -x + 4*a = 5. Suppose -n + 104 = x*n. Calculate the greatest common divisor of n and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 - -263.67. Sort -0.1, z, 4, -5.\nAnswer: -5, z, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 27.53. What is r rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 + 2*c**2 - c + 1. Let l be a(2). What is the common denominator of ((-2)\/((-200)\/186))\/((-102)\/(-85)) and 2\/8 + l\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g - 1. Let s be m(2). Let l = 6 - 19\/3. Let t be (-2)\/4*-2 + 0. Put s, t, l in increasing order.\nAnswer: l, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2201122022122 (base 3) to base 4\nAnswer: -11201320031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7652)\/8*4\/6. Let d = 3971\/6 + v. What is the common denominator of 103\/14 and d?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-8) - 1281077\/(-292) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1055\/422*32\/(-360).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 239*u**2 - 243*u**2 + 466*u**2 - 2*u.\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.769842 milligrams?\nAnswer: 0.000009769842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26 - 93 - 68*n**2 + 3 + 67*n**2 - 60*n.\nAnswer: -(n + 2)*(n + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from fvvwfffvvvw.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*-1*(-1)\/(-6). Let k(x) = -x - 1. Let r(v) = 2*v + 27. Let c(h) = 6*k(h) + r(h). Let l be c(6). Is l <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3116, -13, 0, -4, 5, 4, 2 in increasing order.\nAnswer: -13, -4, 0, 2, 4, 5, 3116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 1. Let v(f) = 2*f**2 - 6. Let z(m) = -5*o(m) + v(m). Let q(y) = 4*y**2 - 9*y - 1. Determine 4*q(h) - 7*z(h).\nAnswer: 2*h**2 - h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23134939*g**2 + 19801261*g?\nAnswer: 46269878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78727245 is divided by 318.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300000 = 9*c - 10*c. What is c rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(4598\/1623). Let r = v - 3\/242. Suppose 866*l - 4*d = 868*l + 76, 76 = 3*l - 4*d. Is r smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3043936, -6087877, -9131818, -12175759, -15219700, -18263641?\n\"Answer: -3043941*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 13*f + 172. Let x be d(-13). Suppose -x*b + 2 = -15*z + 14*z, -b + 1 = 0. Is 7\/53 <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = -3*m, 4*m = r - 3*r + 2. Solve -3*v = 2*s + 21, -5*v - r = -s + 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (264\/(-10))\/((-2)\/(-10)). Let u be (2 - 22)*y\/55. Let d = 68 - u. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6303 (base 7) to base 3\nAnswer: -10000210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 + 105 = -6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 655.6*-0.263\nAnswer: -172.4228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11647167*h*t - 12047922*t with respect to h.\nAnswer: -11647167*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 30 = -3*j + 4*j, 3*h + j + 2 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*v**3 - 66*v**3 - 216 - 7*v + 9*v - 2*v to the form k*v**3 + f*v + t + h*v**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31 - 73 - 2)*(-5*h + 6*h + 2*h).\nAnswer: -318*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25766?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 172171342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 10*z**2 + 10*z - 7. Calculate l(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*s - 0. Let r be (s\/39)\/((-16)\/(-24)). Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 365275 = -28803. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -66*g**3 - 7*g**2 + 7*g - 7. Let r(k) = -44*k**3 - 5*k**2 + 5*k - 5. What is 5*l(h) - 7*r(h)?\nAnswer: -22*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**8*l*l*(l**(-8)*l)\/l)\/(l**(-2\/15)\/(l**(-2\/15)\/l)))\/((l**3*l**(-4))\/((l\/(l*l**0))\/((l\/(l\/(l*l**(7\/2))))\/l))) assuming l is positive.\nAnswer: 1\/sqrt(l)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540259?\nAnswer: 523, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 21. What is the tens digit of 8\/6*(-5457)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 103308531?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -4\/33 (b) 2\/11 (c) 3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(8\/((-16)\/(-3)))*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 2*t - 2. Suppose 10 = -p - 2*f + 6*f, 4*p - 3*f = -1. Determine u(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-20)\/(-5)))\/(-2)*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**3 + 2*x**2 + 2*x - 2. Let m be l(2). Let p be (8\/(-5))\/(m\/245). Calculate the highest common divisor of p and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86835 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 118*u - 120*u - 524, -5*u = 5*w - 1330. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 1972*x = -1975*x - 4 + 15, -3*x + 19 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.1 - -0.9. Let q = -7 + m. Which is the closest to 2? (a) -1 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*(-6)\/(-5). Suppose -b - l*b = 0. Suppose -5*h + 3*n - 2*n + 7 = b, -5*h - 2*n + 16 = 0. Calculate the lowest common multiple of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*y**4 - y**2 + 26*y?\nAnswer: 1320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*s + 1130 = -76 - 74. Solve 0 = -s*r - 52*r + 360 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/111*78 + 36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1013, 1020, 1027, 1034, 1041, 1048?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408295.44 rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d + 1 - 1)*(1 + 1 + 1) - 5 + 2*d + 5 + (3*d - 3*d - 2*d)*(0 - 1 + 2) to the form x + s*d and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25917 and 79218?\nAnswer: 4198554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -7*p - 44. Suppose -5*x - 2*m + 104 = 0, -9*x - m = -p*x - 62. Calculate the remainder when 238 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27038715\/262 - -103201. Calculate the common denominator of -83\/2358 and g.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9830 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-2)*-4 + (-6)\/(-1). Solve 36 = u*r - 2*y - 2*y, 2*y + 8 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 225113 = 68*m - 961147. What are the prime factors of m?\nAnswer: 3, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*v + 297*v**4 - 31*v + 91*v - 30*v - 2 + 5*v**2 - 3*v**2 to the form s*v + i*v**4 + m + t*v**3 + b*v**2 and give i.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*t + 81 = 19, 13 = 2*y + 3*t. Let c be (-78)\/(-65) + 342\/15. What is the units digit of c + 2 - (y - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = -238 - 28 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*t - 142*t + 65*t.\nAnswer: 46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**5*k)\/k*k**(7\/6) assuming k is positive.\nAnswer: k**(49\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9148770 rounded to the nearest one hundred thousand?\nAnswer: 9100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + v - 2 + (-3*v + 4*v + 0*v)*(-1 - 1 + 0) - 111*v + 400*v - 202*v + 15*v - 9*v + 0*v - 4*v + 2*v + v to the form w*v + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 45750083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 8 = 0, 2*t - 3*c = 6*t - 130. Suppose -540 = 3*z - 5*z. Calculate the remainder when z is divided by t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - 0.3. Let o = k + 8. Let l = -281\/6 - -47. Which is the third biggest value? (a) o (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.76 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6266940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 17*f**2 - f - 8. Let v be h(-17). Let s(x) = -x + 13. Let l be s(v). Solve l*z = 3*z + o + 6, -5*o - 12 = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 762197602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1088) + -2)**2*6.\nAnswer: -19656 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - (-3 - -3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52453\/8 - 6548. Is 9 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1869\/18 + 4 + (-138)\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728595.\nAnswer: 3, 5, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 13) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 142215 (base 6) in base 16?\nAnswer: 34a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 29*i - 265. Let z(b) = 63*b - 529. Let d(p) = 26*p + 82. Let l be d(-3). Let w(g) = l*z(g) - 7*m(g). What is the first derivative of w(y) wrt y?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*b, -3*b + 2 + 0 = c. Let s = 63 - c. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*10*-13*(-36)\/585. Factor 4\/5*x**2 + 20 + f*x.\nAnswer: 4*(x + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 179525284*z**2 + 108828327*z.\nAnswer: 359050568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -1\/3 (b) 1\/3 (c) 7\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280884813?\nAnswer: 3, 11, 251, 33911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 3*g + 4*n - 63, -3*g + n = -78. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1266*o**4\/13 + 36074*o**3\/13 + 180460*o**2\/13 - 1187968*o\/13 - 414720\/13 = 0. What is o?\nAnswer: -16, -1\/3, 810\/211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 40*g + 346. Let y be u(-8). Calculate the greatest common factor of 5720 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2935549, -5871097, -8806645?\n\"Answer: -2935548*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqvqnnqqnvevnqnjq. What is prob of picking 1 e and 1 v?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from ihipidbdxdipddbpdxdd?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:53 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*n + 2681, 0 = 2*u + 2*n - 5*n - 1759. Let a = u + -421. Let y = a + -321. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 4*d + 4 = 0. Let n be d\/(3\/(-15)*-2). Suppose 905 = -3*s - n*u, -5*s + 2*u - u - 1499 = 0. Round s to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48452 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 9:48 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 53. Let t(w) = w**3 - 12*w**2 - 7*w - 16. Let g be t(s). Let i = 75 - g. Which is bigger: i or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 24*n**2 - 23*n + 2. Let y be i(23). Let u(r) = 2*r**3 - 5*r**2 + r + 5. Let c be u(y). Solve -5*h = c*m - 30, -h = -m - m + 7 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (0 - (0 + 4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let n(g) = -g. What is 4*j(a) + 3*n(a)?\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 2, -2*j + r + 1 = 0. Let s = 37 - 33. Calculate the least common multiple of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732995929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**0)\/n)\/n)**34*n\/(n\/((n*((n\/((((n*n*n**(-10\/7))\/n)\/n)\/n))\/n)\/n)\/n*n))*n*(n\/n**(-7))\/n assuming n is positive.\nAnswer: n**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 2.1. What is the closest to j in 5\/6, 1\/6, 1\/2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 169, 425, 947, 1825, 3149?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1162 times -11703?\nAnswer: -1359.8886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14691613, -14691619, -14691629, -14691643, -14691661?\n\"Answer: -2*q**2 - 14691611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -31, -60, -109, -184, -291, -436?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7988*i**3 - 552 wrt i.\nAnswer: 23964*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 23*a - 78. Let i be o(-3). Solve -4*r + 33 = -5*v, r - v - 7 = -i*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, o: 14}. Give prob of sequence ol.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(17)) + sqrt(68)*2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -2, 0 in ascending order.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11137.\nAnswer: 7, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3828, 3831, 3834, 3837, 3840?\n\"Answer: 3*m + 3825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 4*p - 2*p + 7 - 2. Let n be b(8). Let j(x) = -4*x - 2. Give j(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*v + 475, -2*v = 3*v + 25. Suppose -4*h = 3*f - 34, -30 = -4*f - 3*h + 13. What is the greatest common divisor of f and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7844 and 222.\nAnswer: 23532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 100. Let l = -5\/14 + 1\/42. Which is the closest to -2? (a) 0.1 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1*(14\/7)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139 - 144. Let c(y) = -y - y + 3*y**2 + 0*y. Let d(s) = 7*s**2 - 4*s - 1. Calculate v*c(z) + 2*d(z).\nAnswer: -z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-17)\/((-1530)\/48)*1332\/592)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -2*m**5\/5 + 152*m**4\/5 + 12*m**3\/5 - 896*m**2\/5 - 242*m - 456\/5 = 0.\nAnswer: -1, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 17*s**2\/2 - 3*s - 109. Let m(d) = 5*d. Calculate l(m(j)).\nAnswer: 85*j - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1477757180?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/190 + (-16456)\/2508?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79225, 158449, 237673, 316897, 396121?\nAnswer: 475345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -244 + 126. Let o = k + 201. Let y = -41 + o. Is 9 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 244 + -245.52. What is k rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 0*z**2 + 0*z**2 + (2*z - 4*z + 3*z)*(-10*z - 6*z - 8*z).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5229 divided by 7\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -8*f**3 - 5*f**2 + 2*f + 7. Is b(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - r**3 + (0 + 0 + r)*(-2*r**2 + 3*r - 3*r) + 0*r**2 + 0*r**2 - 2*r**3 + 6*r**3 + 16*r**3 + 19*r**3 + 3*r**3 - 4*r**3 - r**3.\nAnswer: 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2 + 2 + 0*m - 2*m + 0*m + (2 + 0 - 3)*(0 + 2*m + 0) + 5*m - 6*m - 2*m)*(1 + m - 2 + 0).\nAnswer: -10*m**2 + 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -11*h**3 - 47*h**2 + 3*h + 33. Let j(r) = 4*r**3 + 16*r**2 - r - 12. Let i(v) = -8*j(v) - 3*x(v). What is i(-13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*d = -24, -d = 5*p + 2*d + 2. Suppose -h = p*h - 9. Suppose 0 = -2*i + h + 7. Solve -4*k + i*k - 2 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83829851?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 704 - 982. Is (1 - k\/(-3))\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14, -4, 24, 70, 134, 216?\n\"Answer: 9*t**2 - 17*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8375)\/(-500))\/(((-24)\/(-8))\/12)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1757509 + -1757616.99874. Let k = b - -108. What is k rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (18 - 8) + -3 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 9*w**6\/40 - 9*w**5\/20 + 31*w**2. What is the third derivative of c(f) wrt f?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + -2 + 0 + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 11:09 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*z = -265. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8*1460\/219\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 46*r**2 - 87*r - 1876. Calculate the smallest common multiple of j(-47) and 6156.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-7500)\/(-16))\/5)\/(2\/60672). Let a be w - (4 - 1) - -3. Suppose -5*r = 7*r + a. Round r to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 + 2*a**5 + 660*a**3 - 352*a**2 wrt a?\nAnswer: 240*a**3 + 120*a**2 + 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3124023*p - 1302 = -3123961*p for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9550561 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374231?\nAnswer: 3, 83, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247, -228, -209, -190, -171?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 738.9331kg to micrograms.\nAnswer: 738933100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + -5*sqrt(1100)*3 - (sqrt(99)*-6 - (sqrt(77)\/sqrt(7)*4)**2)).\nAnswer: -132*sqrt(11) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-2 - 80) + -3 - (55 - 54 - 10))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by 13?\nAnswer: 33\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.38167 rounded to two decimal places?\nAnswer: 1.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2. Let i = 28 - -24. Let s(y) = -29*y**2 + i*y**2 - 27*y**2. What is x(s(n))?\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 4. Let b(x) = -1. Let u(a) = 3*b(a) + f(a). Let j = 7 + -4. Let c be u(j). Solve -4*y = -z - 4, 3*z = z - y + c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*i**4 + 938090*g**2*i**3 - 2*g**2*i + 2*g**2 - g*i + 15*g - 652*i - 26 wrt i?\nAnswer: 24*g**2*i**2 + 5628540*g**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.04325 + 0.04325. What is the biggest value in 4, q, -5, 0.064, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:15 PM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6315 - 11107 = 599*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.571 and 4.\nAnswer: -6.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, l: 1, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/(-4) - 1 - 0. Let u = 16 - b. Let n = 0.7 - -0.3. Put n, u, 1\/3 in descending order.\nAnswer: n, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*k**2*w**3*z**2 + 3000*k**2*w**3*z - 3*k*w**2*z**2 + 3199*k*w*z**2 - 4*w**3*z wrt k?\nAnswer: 64*w**3*z**2 + 6000*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392729.\nAnswer: 607, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbpbtbpbbpbbbbb. What is prob of picking 1 t and 2 b?\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 12*o**5\/5 - 122*o**4\/5 - 664*o**3\/5 + 6282*o**2\/5 + 5692*o\/5 - 224 = 0.\nAnswer: -7, -1, 1\/6, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4495132 is divided by 786.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 11. What is the smallest common multiple of 8 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263 - -245.4. Which is the third biggest value? (a) 0.1 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20289 - 20287. What is the nearest to 1 in 0.9, -12, p?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1211\/5 - -243. Let d = 1.97 + 0.03. Which is the closest to f? (a) 0.1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.36, 2\/5, -3\/2, -0.04, 3, 4 in increasing order.\nAnswer: -3\/2, -0.04, 2\/5, 3, 4, 13.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 22*z + 176 = 0. Solve -2*j - z + 2 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 1943.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 15) to base 3\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.028, 75, 0.6, 258.\nAnswer: -1, 0.028, 0.6, 75, 258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 69*w**2 + 2*w + 90.\nAnswer: 138*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*y - 3756*q**2 + 17*q*y**2 + 4*q + 37*y**2 - 6320*y wrt q.\nAnswer: -4*q*y - 7512*q + 17*y**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 + 9*t + 4. Let d = -1293 + 1289. Let z(v) = -v**2 + 1 - 5*v - 3 + 2*v**2. Determine d*q(y) - 7*z(y).\nAnswer: y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:42 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 47437812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*x + 593 = 6*s, 3*s - 367 = x. Find the third derivative of 5*a**2 - s*a**6 - 2*a + 31*a**2 - 179*a**6 wrt a.\nAnswer: -36000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*h + 6*h**2 - 21*h**2 + 17*h + (-36 + 36 - 10*h)*(h + h + 0*h + (-2*h + 6*h - 2*h)*(-2 + 4 - 1)).\nAnswer: -55*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 <= 18486\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 + -2.5. Let a = 0 - m. Let x = -52 - -52. What is the biggest value in a, x, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4) + 82\/(-4). Let c = i - -25. Factor 3*s**c - 21 - 3*s**3 - s**2 + 21 + 3*s**5 - 2*s**2.\nAnswer: 3*s**2*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3094*-0.3.\nAnswer: 928.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5384089?\nAnswer: 683, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403\/9 - 80573\/1800. Let c(n) be the third derivative of 0*n**3 + 3*n**2 - 1\/40*n**4 - j*n**6 + 3\/100*n**5 + 0 + 1\/350*n**7 + 0*n. Solve c(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q - 69 = 50 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 6*m**2 + 0 + 0*m - 9\/2*m**3 - 1\/20*m**5 - 3\/4*m**4. Factor o(w).\nAnswer: -3*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) + (-690)\/4. Let t = u + 408. Let p = -126 + t. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, -3\/196, 0.3, -4?\nAnswer: -3\/196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, a: 2, z: 2}. What is prob of picking 1 a and 1 z?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62 + 92 = -15*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1224 and 680.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 2\/2180341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -2559629?\nAnswer: -2559629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -139 or -728?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**5\/20 + l**4\/2 + 2*l**3\/3 - 2*l**2 + 14*l. Let i be (4\/(-6))\/(1\/6). Is k(i) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i*i)**(18\/11)*(i*i**(-1\/2)\/i)**(-41) assuming i is positive.\nAnswer: i**(415\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/4469 and 7\/246.\nAnswer: 26814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16 - 2\/(-2)) + 1. Let b = -922 + 1521. Suppose 0 = -17*s + 13 + b. What is the greatest common factor of z and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u - 4. Let q be y(2). Solve -5*g = 20, -5*g = 5*l - q*g + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 17*p + 50 = 0. Factor 2 + 2*l + 1\/2*l**p.\nAnswer: (l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p. Let z(m) = -19*m**2 - 15*m**2 + 31*m**2. Give z(v(g)).\nAnswer: -48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m. Let v(t) = -746*t - 1069. Calculate v(d(z)).\nAnswer: 2238*z - 1069","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70455 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g**3 + 3984*g**2 - 23*g + 139. Let v(m) = -9*m**3 + 3984*m**2 - 25*m + 141. Let s(d) = 7*i(d) - 6*v(d). Find the second derivative of s(w) wrt w.\nAnswer: -12*w + 7968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 180, 268, 374, 504?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7375544 - 51.\nAnswer: -7375595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -549049?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 equal to 878?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -3*h + 4*u - 60, 5*h - 3*u = 107. Calculate the highest common divisor of 95 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 386482.4 to the nearest ten thousand.\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f + 142 - 482 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57685074631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2010 divided by 5?\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 - 63. Suppose -6*c - 156 = -q*c. What is the remainder when c is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-2) - (-35 - -12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 13)*(-5 + 1 + 2)*(2*u**2 + 4*u - 3*u**5 - 4*u).\nAnswer: 60*u**5 - 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 2132*t.\nAnswer: 2*t*(t - 5330)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*sqrt(76)*-1)\/(2*sqrt(256) + sqrt(256) + (sqrt(40) + (-2*sqrt(40) - sqrt(40)) + sqrt(40) - sqrt(40))\/sqrt(10) + sqrt(4)) + 3.\nAnswer: 10*sqrt(19)\/23 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*j**3 + 28\/5*j - 16\/5 - 8\/5*j**2.\nAnswer: -4*(j - 1)**2*(j + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11467\/(-3440100)*16\/(-6).\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/6 - (396\/(-1287))\/(12\/26).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -14, 0, 32, 1243 in increasing order.\nAnswer: -14, 0, 2, 32, 1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -538.\nAnswer: 1\/538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 - 8*b + 13. Let l be s(4). Let i = 58 - -85. Calculate the greatest common divisor of i and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 4:00 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 0 + 0)*(695 + 54*f - 695 + (7*f - 21*f - 12*f)*(-2 + 6 + 0)).\nAnswer: 50*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.23 + -10.77. Let h = u - -9. What is the second biggest value in h, -3\/5, 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 9 + 2)*(-58*a**3 + 58*a**3 - 11*a**5) - 2*a**5 + 3*a**5 - 2*a**5.\nAnswer: 164*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2*0\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-62)\/(-93) - (-1694)\/(-3). Let r = -387 - y. Let u = r - 56. Does 45 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*k - 5*u - 3, 0 = -u + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/6 - (-4)\/(-24). Suppose 5*y + 3*w + 349 = -75, 0 = -3*y + p*w - 264. Let k = y + 265. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20115, -40270, -60471, -80718, -101011, -121350, -141735?\nAnswer: -162166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22540, -0.6, -162?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*c + 31 = 0, -8*c = -12*c + 20. List the prime factors of (-3246)\/(-18)*(-9)\/v*-2.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1424, -2871, -4318, -5765, -7212, -8659?\nAnswer: -10106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/42 and (-52)\/65 + 131\/245.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 524 - 531. Let i(p) = 9*p**2 + 27. Let j be i(w). Calculate the highest common divisor of 52 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 81 + -16?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68 and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -143540 (base 7) to base 12\nAnswer: -14055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 240*h**2*j + 97*h**2 + 6*h*j - j + 3580987 wrt h.\nAnswer: 480*h*j + 194*h + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(350)*-2)\/sqrt(7))\/(-1*(sqrt(40) - sqrt(10)) - -5*(sqrt(10) + sqrt(10) + sqrt(40))).\nAnswer: 8*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, l: 1, u: 1, a: 2, m: 1, o: 1}. Give prob of sequence ama.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yjcyckcycfffykffffyy.\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687578092 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-4 - -14 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732232.\nAnswer: 2, 17, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3550 and 11000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.292 or -6?\nAnswer: -0.292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/60 + 3*y**3\/2 - 13*y**2. What is the first derivative of b(a) wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*u + 308, 5*k = -u + 30 + 58. Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 123063\nAnswer: -5\/123063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0, 2\/5, -1\/1555, 2\/13?\nAnswer: -1\/1555","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 3*u + 0*u)*(-3 + 3 - 2*u) - 5*u**2 + 5*u**2 - 4*u**2 + 69 - 21*u**2 - 69.\nAnswer: -23*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 698 + 134. Suppose -4*j - w = -78, -23 = -4*j + 2*w + 61. What are the prime factors of (-8)\/j + g\/(-10)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1236 - 1234. Solve -t*y - 6*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*q, -2*q + 2 + 3 = -3*u. Let b = 2 + q. Suppose -4*v - 2 = 2*r - b*r, -v - 39 = -5*r. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + q = -2*q. Suppose -4*f + 3 + 17 = q, 4*g + 2*f = 30. Solve -g*i - z - 8 = 0, 0*i - 2*z = 3*i + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32*(-17)\/1632*4\/((-4)\/27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**7\/70 - 13*q**6\/40 + 3*q**5\/5 - 8*q**2 + 29*q. What is a in p(a) = 0?\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 5*n - 7. Let y be k(-2). Which is the nearest to 0? (a) -0.2 (b) y (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9099 is divided by 576.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from icotoiii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*q - l - 209, 0 = -3*q - 3*l - 129. Let u = 81 + q. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**4\/4 + 9*z**3\/4 - 2*z**2 - 15*z = 0.\nAnswer: -2, 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000110238 rounded to 6 dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 599, 2001, 4311, 7511, 11583?\n\"Answer: -3*z**3 + 472*z**2 + 7*z + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.090371088 - 0.1.\nAnswer: 0.990371088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(h**2 - 3*h**2 + 3*h**2) - 4*h**2 + 2*h**2 + 3*h**2 - 2 + 0*h + 5*h**2 - 3*h + h**2.\nAnswer: 5*h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2981 - 2979. Suppose 4*t - 5*t = -26. Solve -l = -j*l + b - 9, 2*l = 4*b - t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - (sqrt(126) - sqrt(126)*1)\/sqrt(6) - sqrt(63)\/(sqrt(3)*-1))\/(3*(sqrt(448) + (sqrt(448) - (sqrt(448) + sqrt(448)*-2)))).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (110*z**2 - 362 + 362)*(0*z - 5*z + 3*z) + (-z**2 + 0*z**2 + 2*z**2)*(4 - 4 + 2*z) to l + n*z**3 + f*z + m*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:20 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47873\/(-1954)*16\/(-7)*8\/((-96)\/(-9))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -a + 6534 + 22228, 0 = -o + 3*a + 7197. What are the prime factors of o?\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753340.\nAnswer: 2, 5, 7, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -27*q. Let o(g) = -10 - 2*g + 9 + 1. Give s(o(y)).\nAnswer: 54*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 19 = -4*d + 36, -i + 35*d + 70 = -6*i + 42*d for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 - 20*b - 8 - 4*b**2 - b**2.\nAnswer: -5*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + 32\/2. Let p = s - 11. Solve f - p = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Let r be (-12)\/(((-27)\/24)\/h). Suppose -4*a - 8 = -r. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o - 8. Let g be u(0). Let a = g - -11. Suppose -b + 12 = -a. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -27223, -54233, -81207, -108127, -134975, -161733?\n\"Answer: 3*b**3 - 27031*b - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 2168058\nAnswer: 7\/2168058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((33\/(-4))\/(-11))\/21. Let y(p) be the second derivative of -1\/20*p**6 + 0*p**3 + 2*p + 0*p**2 - 3\/40*p**5 + 1\/8*p**4 + h*p**7 + 0. Factor y(l).\nAnswer: 3*l**2*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12992 and 86138816?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -649602 divided by 4302\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 + 57. Let h = n + 58. Is -1 less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*j - 32 = 0, 16 = 2*i - 9*j + 4*j. Let d(n) = 2*n - 10. What is d(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2015700 rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e33b54 - 2?\nAnswer: -e33b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3, q + 65 + 6 = 5*j. Let n = j - 9. Let y(a) = -a**3 + 4*a**2 + 8*a - 6. Give y(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b + 0*b + 5*b + 2 + 0*b - 2*b - 1 + (5*b - b - 2*b)*(-1 + 2 - 3).\nAnswer: -3*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 18.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -537.\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 71289170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/(-6)*4 + -1 + 0 and (-3 - 5) + 4 + 243\/(-30).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -7*y**3 - 10*y**2 - 21*y - 1. Determine t(-4).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, t: 1, y: 4, i: 1, b: 2, j: 3}. Give prob of picking 1 i, 1 t, 1 b, and 1 y.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 204 = -4*t + 2*t, 4*i - 5*t = 150. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325991321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - s**2 - 2*s - 1. Suppose 0*y + y + 1 = 0. What is h(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 + 3 - (16 + (22 - 26))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 2*w + 84 = 0. Calculate the common denominator of ((-17)\/w)\/((-24)\/108) and 7\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 10 - 30. Let n = 8.5 - 6.5. Which is the nearest to 2\/3? (a) d (b) n (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 47.999854. Round z to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3148500 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2695*u**5\/4 + 24245*u**4\/4 - 6760*u**3 + 25*u**2 = 0.\nAnswer: -10, 0, 2\/539, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/4)\/((-2)\/(-4)). Let f = -93 - -107. Let j = r + f. What is the remainder when j is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5373*v = -1472*v + 167743 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2216*(-7 - (-86)\/8). Is m at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19.5334779 and 195646?\nAnswer: 195626.4665221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -4264.3 equal to -1178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v + 11. Calculate s(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = t + 14 + 1, 2*u - 2*t + 2 = 0. Which is the third biggest value? (a) 3 (b) -2\/3 (c) 1\/2 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 - 563171288*g\/11 + 39645237453447368\/11.\nAnswer: 2*(g - 140792822)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 4. Let c = 0.082 - -0.918. Let q = 0.17 - -3.83. Sort q, l, c in descending order.\nAnswer: q, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t + 2. Let x(b) = -4*b + 1. Let l(u) = -3*k(u) + 8*x(u). Let v be ((-6)\/5)\/((-18)\/(-60)). Calculate l(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/59656 and 5\/16882648?\nAnswer: 16882648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 215389.3753 rounded to the nearest one thousand?\nAnswer: 215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**37\/(i**(2\/25)*i**(-3\/2)*i) assuming i is positive.\nAnswer: i**(-883\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(891)*-2*-6.\nAnswer: 108*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 799.2284 millennia in centuries?\nAnswer: 7992.284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 - 200*t - 5549. Is 6 a factor of l(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -702\/19, 5, -2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-1350)\/6) + -3*1. Let i = g + -4979\/22. Calculate the common denominator of i and 41\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w + 25296*w**2 - 26735*w**2 - 4*w + 1313 wrt w?\nAnswer: -2878*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(16\/7)*p)\/p**(-2\/77)*p**(-3)\/(p\/(p\/p**(-3))*p*p) assuming p is positive.\nAnswer: p**(178\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(1\/2))**13)**25*((h**8\/h)\/h*h*h**(-3)*h)\/(h*h**(-2\/7))**32 assuming h is positive.\nAnswer: h**(2025\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 - (0 - (-3 + 5)) - -1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.3. Let z = 581 - 583. Which is the closest to m? (a) z (b) 2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3291 + -0.0291. Suppose 0 = -5*x - 3*l - 35, 3*x - 4*x - 4*l = 24. Which is the biggest value? (a) i (b) x (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -621?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 810*z**2 - 8100*z - 36*z**3 + 30375 + 3\/5*z**4 = 0. Calculate z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4414234 + -33?\nAnswer: -4414322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*z - 18 - 8, 3*g = 6. Let a = -123 - -204. What is the highest common factor of z and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -3\/2, -3\/5, 0.25 in increasing order.\nAnswer: -3\/2, -3\/5, -2\/13, 0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143fb (base 16) to base 3.\nAnswer: -11012202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 2:34 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 5, 31.584, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (1 - (-3 + 7)) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 846 divide 275988129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3 + 3 - 4 + 4*u - 5*u. Let i(b) = 2*b - 3. Let d(w) = 4*i(w) + 6*v(w). Let r(z) = -5*z**2. Determine r(d(g)).\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 44318 + -736?\nAnswer: 43582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 357+-17293900110\nAnswer: -17293899753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/21)*v\/(v\/v**(-12))*(v*((v**(-2\/15)\/v)\/v*v)\/v)**15 assuming v is positive.\nAnswer: v**(-607\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + 44\/(-8). Is u <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - d - 15 = 0, 2*a = -4*d - 0*d - 4. Suppose -1526 = -3*f + 5*i, 0 = -4*f - 3*i - 247 + 2272. Suppose -y = -a*y - f. Round y to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1417*c + 36. Let b be v(1). Let q = -359 - b. What is the hundreds digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o + 8. Let h(x) = 33*x + 33*x - 20*x + 20*x + 95 + 13. Let i(s) = 4*h(s) - 54*l(s). Let t(u) = u**2 + 1. Give i(t(j)).\nAnswer: -6*j**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by 3\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 0) + -1 + 2 + -2. Let w(s) = 4*s**k + 7 - 5*s - 13 + 7 + 9. What is the units digit of w(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i**3 - 5*i - 23 - 2*i**3 + 36 - 17. Let d(f) = f**3 + f + 1. Calculate -4*d(c) - r(c).\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -0.888. Let d = z + -0.045. What is d rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 238699729.4 to the nearest ten thousand.\nAnswer: 238700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/21)\/w**(-2\/7))\/(w**0\/w)**(-2\/3) assuming w is positive.\nAnswer: w**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 8 = 0, -5*l + 4*l + 18 = d. Suppose -d = -3*q - 5. Suppose -h = -3*a - a + 24, -q*a + 29 = -h. Which is bigger: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114570 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 230*q + 235*q = 21119, 3*r - 15873 = 3*q. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -26*t**2 - 8. Let u(g) = 17*g**2 + 5. Determine -5*j(b) - 8*u(b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 705 is divided by 134?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5 - 3 = -2*m, -2*m - 3*d - 7 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30892 - -6962. Round v to the nearest 1000.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 102739, -3, 0.5, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/8 + 21*k**2. Let o(z) = -14*z**2. Determine d(o(g)).\nAnswer: -42*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-6) + -3 + 7\/3. Solve b*l + l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100331221123 (base 4) to base 7.\nAnswer: -52540315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0511, 5\/6, -0.3, -2 in decreasing order.\nAnswer: 5\/6, -0.0511, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) -1\/2 (c) 0.04 (d) -2\/3 (e) 45184 (f) -1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 6*r - 11*r + 5937, -5*p + 3*r + 7375 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(45)*-3 - (sqrt(500) + (sqrt(500) + 0)**2 + sqrt(500) + 4))*-5.\nAnswer: 145*sqrt(5) + 2520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210197 and 9842?\nAnswer: 2942758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -33\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1 + (-2)\/(-1). Let v be p - 1 - -1*6. Suppose 37*w - 12 = 35*w - d, 5*w - 12 = 2*d. Calculate the greatest common factor of w and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, 6, -4 in increasing order.\nAnswer: -5, -4, -1, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -268 + 267.9. Let d = 229 - 229. Sort d, w, -4, -1\/16 in increasing order.\nAnswer: -4, w, -1\/16, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*v - 2, v = -3*w - 0*v + 22. Solve -w = n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*j**3*q**3*u + 8*j**3*q**2*u - j**3*q**2 - 2*j**3*q*u + 1329*j**2*q**3*u - 6*j**2*q**2*u - 21*j**2*u + q**3*u wrt q.\nAnswer: 138*j**3*u + 7974*j**2*u + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -383.7? (a) 0.8 (b) -0.5 (c) -0.1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 1368\/(-54) + 4\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/12568?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmkkkkmlimz. Give prob of picking 1 k and 1 i.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9)\/sqrt(3) + 5)**2 - 3*sqrt(15)\/sqrt(5))*5 + -5.\nAnswer: 35*sqrt(3) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7527016 (base 8) to base 9\nAnswer: 3704062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 7) to base 10\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147554361?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.83 - -0.17. Let j = h + -5. Suppose 5*s - 5 = -0*s. Is s > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 159013 and 6304.\nAnswer: 1002417952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31 and 496.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 x when four letters picked without replacement from {r: 10, w: 2, x: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472 = -1138*u - 5218 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 85768*u**2 + 918832200*u - 14723280000.\nAnswer: 2*(u - 16)*(u + 21450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 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: Let w = 5938 - 5936. Put 3, w, 1, -8, 4 in descending order.\nAnswer: 4, 3, w, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 w, and 1 t when four letters picked without replacement from {w: 5, r: 5, s: 4, t: 2, j: 3}.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62959 = -21*g - 4642. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 1023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 45 = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2\/3) - 2. Suppose -2*u + 9 - 3 = 0. Suppose -m = u*m. Are o and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 160062, 320129, 480196?\n\"Answer: 160067*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69627.16 minutes to microseconds.\nAnswer: 4177629600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 178561879 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 25077?\nAnswer: -100308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 6*w - 63. Suppose -w*s = -3*z - 203, -3*s + 32*z = 36*z - 145. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/129 and -133\/36.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*c + 12*c - 4*c**2 + 4*c**2 - 66 + c**3 as o*c**2 + z*c + t*c**3 + d and give d.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k. Let x(y) be the first derivative of 8 - 12*y**2 + 14*y**2 + 7*y**2. Give w(x(p)).\nAnswer: 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*v + 5247 + 176 = 961 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.41*-0.2.\nAnswer: -0.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6*x = 0. Suppose -4*o + y = -x*y - 13, -8 = -2*o + 2*y. Let i = o - -13. Solve 0 = -4*s + i, 2*s + 1 = 3*v + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c\/(c*c*c*c\/(c**(-2\/11)\/c)*c*c))**(-45)\/((c\/c**3)\/c**(-3)*c\/c**(2\/15)*c**(-5)*c) assuming c is positive.\nAnswer: c**(75952\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-10))\/(((-940)\/100)\/47) + (-101)\/4?\nAnswer: -89\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (((sqrt(128) + 0 - sqrt(128))*-2)**2 + -1 - ((sqrt(128) - sqrt(128)*-2*-4) + -5)**2))*2.\nAnswer: -12590 - 1120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 33*k**2 + 713*k + 90. Calculate h(-21).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 463304, 926609, 1389914, 1853219, 2316524?\n\"Answer: 463305*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 12*t**2 + 18*t - 73. Let j be u(11). Let x(o) be the second derivative of -o**5\/20 + 5*o**4\/12 - o**3\/6 - 5*o**2\/2 + 47*o. What is x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0.1, -1, -1\/4, 114 in decreasing order.\nAnswer: 114, 0.1, -1\/4, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 127*r - 47. Let q be m(1). Determine k, given that 25*k**4 + 7*k + 15*k + 77*k**3 - 2*k + 8*k**3 + q*k**2 = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhthtttttttqttt. What is prob of sequence tqt?\nAnswer: 11\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 500 + -498. Suppose -4*o + 14 = 2*r, -q*o - 4 = -r - 5. Solve 3*j = -o*h - 4, -j + h = 3*j + 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29952 (base 10) to base 14\nAnswer: -acb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30813?\nAnswer: 3, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -1 - 1\/2*h**4 + h**3 + 0*h**2 + 0*h. What is the third derivative of v(y) wrt y?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29466 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-56))\/(-4)*14\/(-40)*2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -35.84. Let k = -10.845155 - x. Round k to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105017530 and 210035060?\nAnswer: 210035060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*(3906\/483 + -8). Let s = 0.1 - 0.3. What is the closest to v in -2, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 646849036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 2\/7, -3 in ascending order.\nAnswer: -3, -0.04, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -3*w**5 - 36*w**4 - 99*w**3 + 102*w**2 + 252*w - 216 = 0.\nAnswer: -6, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 = -n - 1539 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064247233?\nAnswer: 7, 2729, 55711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6694710?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 373, 743, 1113, 1483?\n\"Answer: 370*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7695864 divided by -72.\nAnswer: 106887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -33*t**3 - t - 1. Let y be u(-1). Suppose 4*p - 5 = -y. Let i(x) = x + 10. Let a be i(p). Sort -2, a, 0 in decreasing order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-892510)\/(-1341))\/((-5)\/(-18)). Is m less than 2403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.4 or 6654\/7?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + o**2 + o + 5. Let d be m(0). Suppose -d*u = 3*i - 2131, -3*u + i + 1275 = 4*i. Let p = -97 + u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*b**4*j**2 + 123*b**3*j**3 - 10*b**3 - 271*b**2*j**3 - 109*b**2*j**2 wrt b?\nAnswer: 288*b*j**2 + 738*j**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, b: 2, d: 2}. What is prob of picking 1 l, 1 b, and 2 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 960 = 5*h + k, 4*h - k = -768. Let o = h - -289. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400673912 to the nearest integer?\nAnswer: 20017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.2 - 0.8. Let b = u + 41.5. Sort b, 4\/7, -5 in increasing order.\nAnswer: -5, b, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.721 + -1014822794897.\nAnswer: -1014822794896.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - t + 60 = 0, 186*t - 195*t + 290 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -403, -395, -383, -367?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 = 2*p - 3*p, 3*a - 11 = -p. Let r(y) = -y - 1 - p + 9. Let k be (-4)\/(-3)*(1 + 2). Calculate r(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -b2?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2219562, -2219618, -2219674, -2219730, -2219786, -2219842?\nAnswer: -2219898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(2\/39))**39)**(-14))**(-5\/3) assuming g is positive.\nAnswer: g**(140\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let t be o(-2). Let c(x) = 0*x**2 - 7 - x**3 - 4*x + 2*x + 6 + t*x**2. Give c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 10:22 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41788*z = -41955*z + 10521 for z.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -112106\/25701357 - -4\/10203. Calculate the common denominator of u and -56\/3.\nAnswer: 7557","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1002121 (base 3) to base 11\nAnswer: -667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -3317.\nAnswer: -663.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5*v**3 - 5*v**2 + 1494*v - 4447. Calculate p(3).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -55576536?\nAnswer: 55576562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 421652?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1925)\/(-30))\/55*(-60)\/63\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -66 * 190291.\nAnswer: -12559206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2215 + 2226 = -3*o, 0 = -4*o - n - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 191*f + 3406*f - 58751 = -448492 for f.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in -52, -4\/3, -0.2?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15\/14, 1.68, -50.7?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423 + -404. What is the greatest common divisor of 57 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-78))\/(68\/1377)?\nAnswer: -27\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 5*m + 4*m)*(-85 + 36 - 48 + (3 - 1 - 1)*(2 + 0 - 3)).\nAnswer: 196*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 94\/(-18) - (-2)\/9. Let t be (2*x\/(-2))\/(-1). Let l(f) be the second derivative of -f**4\/12 - f**3\/3 + 7*f**2\/2 + 28*f + 4. Calculate l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142365 - 32?\nAnswer: 142333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -148880065.57259 and 5.\nAnswer: -148880060.57259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (3 + -2 - -30). Let j(a) = 2*a**3 - 4*a**2 + 2*a - 20. Let m be j(5). What is the greatest common divisor of m and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*v - 151 + 131, p = 2*v - 28. What is the remainder when 22 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 4}. What is prob of picking 3 a and 1 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 s when three letters picked without replacement from srprrvpsssprsrprvs.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10\/(-2)*-23*18\/30.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 - -73828292006227.\nAnswer: 73828292006227.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2729*l**2. Let k(z) = 4*z**2. Calculate k(a(t)).\nAnswer: 29789764*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7086, -7095, -7104, -7113?\n\"Answer: -9*t - 7077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-16) + 4)*(-23 + 11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -30. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1193, -2439, -3693, -4961, -6249?\nAnswer: -7563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*z - 503*z + 31668 = 71*z + 377*z for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303*-15.\nAnswer: -4545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -216*m**2 + 3*m + 65. Let w(f) = 43*f**2 + f - 14. Let j(g) = -2*r(g) - 11*w(g). Factor j(k).\nAnswer: -(k + 1)*(41*k - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/7)*u)\/u**(-1))\/(u**(-4)\/u*u\/(u\/((u*u**(-3))\/u))) assuming u is positive.\nAnswer: u**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -2\/3, 467, 2, -7, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3285)\/(-165) - 16 - (-1)\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 48 = -10*b, 38*z + 2*b = 33*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 - 8. Let m(w) = 5*w**2 - 4. Let c(h) = -3*k(h) + 5*m(h). Find the first derivative of c(d) wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -32, -66, -100, -134?\n\"Answer: -34*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2287753828.\nAnswer: 2, 101, 5662757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 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: Find the second derivative of 5*f**3*m**2 - 7*f**3*m - 2*f**2*m**4 + 11*f*m wrt m.\nAnswer: 10*f**3 - 24*f**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2779, -2778, -2777, -2776?\n\"Answer: l - 2780","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*n**4*w + n**3 + 154*n**2*w - 18*n**2 - 564*n*w - 2*n - w + 6 wrt n.\nAnswer: 192*n**2*w + 6*n + 308*w - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2088 or 2091?\nAnswer: 2088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 3*x - x)*(2*x + 3*x - 3*x)*(-16 - 5 + 1)*(-2*x**2 + 5*x**2 + 2*x**2).\nAnswer: 200*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 + 130*q + 392\/3.\nAnswer: -2*(q - 196)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-1)\/(1365\/26) - (-15810)\/1050?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9878469 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-36)\/(-15))\/(3\/(-10)). Let p = z - -6. Is 374 + (-3)\/(p\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/17, -1, -403, 2.1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4.879 times -0.5\nAnswer: 2.4395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 16 + 34*v.\nAnswer: 34*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*5\/105)\/(4\/14)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 11:59 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5045.8 - 5044. Which is the closest to 1\/2? (a) k (b) 2\/11 (c) 4 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.039 - -0.043. Let z = -0.004016 + n. Round z to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 take away 0.2?\nAnswer: -393.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108556\/135 + 4008\/5. Find the common denominator of -23\/7 and k.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02861 and 2.96.\nAnswer: 0.0846856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 88\/14 + (-3)\/(252\/24). Let n(c) = -c**2 + 16*c - 55. Let u be n(g). Solve p + u*r + 12 = 0, 3*p + 4 = r - 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346120 divided by -2036.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) - (-4 + (-1*sqrt(32))**2).\nAnswer: -28 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.13701 rounded to 1 decimal place?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615773309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 + 6098417572.\nAnswer: 6098417529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2682 = 2*j - 2687, 2*v - 3*j = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1218 - -2422. List the prime factors of b.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.7749 > 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 4, -9, -2.\nAnswer: -9, -3, -2, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k**3 - 3*k**2 + k - 3. Let i(n) = -3*n**2 + 3*n + 0*n**2 - 7 + 9*n**3 - 4*n**2. What is 3*i(f) - 7*t(f)?\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450155.6 minutes in hours?\nAnswer: 24169.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 4:36 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2222 + 2?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -14*x**3 - 17*x**2 + 23*x - 11. Let d(o) be the third derivative of o**6\/24 + o**5\/10 - o**4\/3 + 2*o**3\/3 + 5*o**2 + 1. Calculate -17*d(a) - 6*f(a).\nAnswer: -a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, y: 6, k: 3}. What is prob of sequence gkgg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/24 - w**5\/30 + w**4\/24 + w**3\/3 - 10*w**2. Let v be d(-1). Suppose 0 - v = -k. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/12)\/(1\/33). Let x be p\/3 + (-30)\/(-45). Let m(h) = -2*h**3 + 5*h**2 + 2*h. Let l(s) = 3*s**3 - 9*s**2 - 3*s. Calculate x*l(w) - 5*m(w).\nAnswer: w**3 + 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 21*q, 0 = -2*j - 5*q + 2 - 4 - 1 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/109578 and 67\/1726?\nAnswer: 94565814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.58 - 2.38. Let y = 6 + -5.6. What is the biggest value in u, -4, -2\/5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(4))\/sqrt(5)*1 + -4.\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 5 + 15. Let w(a) = 2*a - 5. Let y be w(4). Suppose 0 = -y*o + 6*o - 9. Solve -o*q = j - 5*j + 19, -q + 5*j - x = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 3*r - 12, 0 = -2*r + f - 96 + 110 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14611\/44 + 465501\/1012. Let h = 128 - n. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, f: 3, x: 1}. Give prob of sequence rff.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/3 + 82283*s\/3 + 71754998\/3 = 0. Calculate s.\nAnswer: -863, 83146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 107.7?\nAnswer: -107.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2201 from 222376.15007.\nAnswer: 222376.37017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-32)\/4 - 1\/1. Suppose 3*s + 10 = -4*q - 2, 0 = -4*s - 16. Let i(c) = c**3 + 3*c**2 - c + 2. Let x be i(q). Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5264?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k**2 + 2*k + 2. Let c(d) = -3*d**2 + 5*d + 5 + 0*d + 7*d**2 + 11*d**2. Let b(q) = 2*c(q) - 5*w(q). Let j(i) = -3*i. Determine j(b(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 4)*(2*k**2 - 2*k + 2*k) + 2*k**2 + k**2 - k**2 + (-6*k - 2 + 2)*(-148 + 34*k + 148) to x*k**2 + c + a*k and give x.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r - 60*r = -d, 2*d + 0*r + 5*r = -d + 33 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 134 (base 11) to base 10\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2342 by 3.\nAnswer: 2342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 70\/4)*594\/495.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -5*l**8\/112 - 43*l**7\/42 - l**6\/2 + 7*l**5\/3 + 217*l**2. Let y(b) = 0. What is b?\nAnswer: -14, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 847570?\nAnswer: 2, 5, 131, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*((h**4*h)\/h)\/h)\/(h\/(((h\/(h\/(h\/h**(2\/7))))\/h)\/h*h)))**(1\/7))**(2\/11) assuming h is positive.\nAnswer: h**(52\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3\/2 (b) -0.1 (c) -65781.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 4*m + 32. Let o be (12\/10)\/(3\/30). What is the units digit of o\/m + (-150)\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -5. Let o(w) = w + 4 + 4*w**2 - 5*w - 4*w. Let c(i) = -2*i**2 + 4*i - 2. Let l(m) = r*c(m) + 4*o(m). Factor l(f).\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30890626 + 8*r + 30890625 - 61781251.\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 6*w - 257 = -389 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, q: 5, x: 2, n: 1}. What is prob of sequence znx?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -329.058 - -328. Let l = -3.9468 + f. Let z = -5 - l. What is z rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 y when three letters picked without replacement from ywytw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000260808 to 5 decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzyk when four letters picked without replacement from {d: 2, z: 1, k: 2, j: 1, y: 1, q: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -765884*r**2 - 1533040*r - 2544.\nAnswer: -4*(r + 2)*(191471*r + 318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19763 (base 10) to base 6.\nAnswer: 231255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2369*b + 120264 + 7662 = 0 for b.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -32132, -32142, -32166, -32210, -32280, -32382?\n\"Answer: -n**3 - n**2 - 32130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99944 divided by 52?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9482797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-10) - 5\/(-25). Solve 4*f + 7 + 13 = h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 306400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -15. Let y(b) = 8 + 2 - s*b + 1 + 9*b**2 - 8*b**2. Is y(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-236*x**2 + 234*x**2 - 35*x + 13*x)*(4*x - 1 + x - 6*x).\nAnswer: 2*x**3 + 24*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t. Let w(i) = i**2 - 3*i. Calculate k(w(q)).\nAnswer: -3*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {k: 2, g: 1, y: 1, j: 1, i: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/464156 and 79\/84392.\nAnswer: 928312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/20 - (2 + (-1)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 >= -6458\/743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l = -30. Is ((-5)\/l)\/((-2)\/186) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgekakkeegkkehhhhgka. What is prob of sequence hk?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 7:19 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 11. Calculate v(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (17 - 25) + 15 + -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:13 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7169, 14342, 21517, 28694?\nAnswer: 35873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 22835, 45672, 68527, 91406, 114315, 137260?\n\"Answer: x**3 + 3*x**2 + 22821*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 3*n - 6. Let o be w(-5). Let h = -1518 + 1530. Let y be -5 + 5 + h\/12. Solve o = r, -k + r - y - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = 5*b - 1, 0 = 5*a - 3*b - 10. Suppose -a*f + 91 = 23. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13334*-3.\nAnswer: 40002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7*r. Let w(t) = -3*t - 2. Let p(s) = -11*s - 7. Let c = 182 + -175. Let z(k) = c*w(k) - 2*p(k). Determine z(v(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-6))\/(1\/(-2)). Let o(j) be the first derivative of j**2\/2 + j + 1. Let f be o(h). Solve 5 = 3*w - f*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2351806 and 2110?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 39. Let p = -185541406 + 185541422.00000045. Let y = p + x. Round y to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 83*h**5 - h**4 - 24*h wrt h?\nAnswer: 1660*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*h + 264 = 2490 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/7 + (-6)\/21. Let b = -2 - -17. What is the highest common divisor of b and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15851, -15849, -15847, -15845, -15843?\n\"Answer: 2*b - 15853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 9.2. Let p = x + 1.7999. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1138*a - 3080*a - 102222 - 58964 = 0 for a.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -35.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4638*h*i**2*m*y**3 + 574*h*i*m + 2*i**2*m*y**3 + 18*i**2*m*y - 51*i**2 + 3*i*m*y with respect to h.\nAnswer: -4638*i**2*m*y**3 + 574*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1 = -14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324304228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -119*d - 20. What are the prime factors of j(-3)?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 5\/5 - 3*((-11 - -9) + 12)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 30 - 22. Suppose 10*g = o*x + 7*g + 9, 5*x + 5*g - 15 = 0. Factor 2\/3*c**2 + x*c + 0.\nAnswer: 2*c**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 13}. What is prob of picking 1 p and 3 x?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6047 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 75119.3581 to the nearest 100.\nAnswer: 75100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/10 + 5*c**4\/24 + 11*c**3\/6 + c**2. Let s = -90 + 88. Let f(r) = -r**2 - r - 2. What is s*w(d) - 11*f(d)?\nAnswer: -d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let l be g(-1). Let n be ((-1)\/3)\/(l\/(-15)). Suppose n*x - 9 = 11. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 9:55 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5538463700 rounded to the nearest 1000000?\nAnswer: -5538000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 188 + -215.2. Let d = z + 24. What is d rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 195*h + 5495. What is a(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-4)\/20)\/((-1417)\/49595).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8435, -67452, -227631, -539552, -1053795, -1820940, -2891567, -4316256?\nAnswer: -6145587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 2 = -34. What is the remainder when 122 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 + 2*x - 1. Suppose 9 = d + h, 2*d - h + 2 = 2*h. Suppose -d*v = -2 - 3. What is n(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438826079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 269675208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 4, 3, -0.1 in descending order.\nAnswer: 4, 3, 2, -0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8 - 2*u + 9 - 16. Let h be i(0). Let s = -10 - -17. What is the greatest common divisor of h and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6516 (b) -3 (c) 4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -1\/8*k**4 + 0*k**3 + 3\/80*k**6 + 0*k - 1\/224*k**8 - 1\/40*k**5 + 1\/140*k**7 + 0 + 63*k**2. Solve o(x) = 0 for x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 8. Let c be q(-3). Let m = 1 - -1. Suppose 2*w - c*k - 116 = 0, w + m*k = -w + 88. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 48.\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 55*b**2 + 313*b - 54. Does 16 divide y(49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**2 - 1970*a - 11748 = 0.\nAnswer: -979, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1887108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7111692 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7\/3 - 2)*6\/(-8). Let y be (-6)\/(-4) + 2\/(2 - -2). Sort u, y, -3, -2 in decreasing order.\nAnswer: y, u, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 5, -21, -1 in ascending order.\nAnswer: -21, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 + 141*m - 58. Let i be n(-18). Sort 31, i, -1, -2, 5.\nAnswer: i, -2, -1, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -31 - 2*m + m + 31. Let t(b) be the third derivative of 7*b**4\/24 - 11*b**2. Give t(d(v)).\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.3 - 2.22.\nAnswer: 21.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 + 580010 + 4 + -5. Suppose 0 = q + 5*g - z, 4*q = 5*g - 4*g + 2319997. What is q rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21601*a + 264 = 21613*a for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15888548 to the power of 1\/2, to the nearest integer?\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 6 - 9, -u - 3*b = 4. Calculate the remainder when -51*(4 + (-13)\/3) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of f**5\/10 - f**4\/4 - f**3\/6 + 3*f**2\/2 + 4*f - 1. Determine a(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 17 - 3. What is the second derivative of -b - h*b + 3*b**2 - 4*b**2 wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1671106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 267523871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -b**7\/210 + b**4\/24 - 7*b**2. What is the second derivative of v(j) wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140830*m**2 + 1140831*m**2 - 65*m**3 + 3*m**3.\nAnswer: -62*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -4*y + 2*l, 2*l = -4. Let z(w) = -4*w + y*w + 0*w + 9 + 4*w. Suppose 2*s + 2 = 0, 0 = 20*c - 25*c + 5*s - 35. What is z(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2426476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = c - 4*l - 34, -l = -2*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -9. Let t be 3 + (222*p - 4). Let v = t + -58. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -424, -1287, -2592, -4339?\n\"Answer: -221*c**2 - 200*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3988?\nAnswer: 2, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1)*2168\/1626*18\/(-20)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 73*y - 7*y - 26*y - 30*y. Let h(d) = 2*d. What is h(s(c))?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 16*r**2 - 28*r + 3. Let u be i(-14). Suppose u*j - 3*j = -3*j. Suppose j = -4*v - 8*t + 3*t + 3, -v = t - 1. Which is smaller: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 50 = d, -d - 57*v + 53*v + 41 = 0. Solve -9*r = d - 44 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 8*q**3\/7 - 65245*q**2\/7 + 301572*q\/7 + 122265\/7 = 0?\nAnswer: -3\/8, 5, 8151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2234123117?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*a = -18*a + 70 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + 1*sqrt(91)*3)*-5*5)\/((-5*(sqrt(756) - (sqrt(756) + sqrt(756)*1 + sqrt(756) - sqrt(756))))\/sqrt(12)).\nAnswer: -20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 7*i - 20. Let s be o(-9). Calculate the common denominator of s\/5 - -3*(-89)\/(-480) and 69\/2.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 259\/14)*6\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 19*r**2 - 4*r. Let n(h) = -132*h**2 + 27*h. Let c be ((-44)\/(-33))\/(-3 - (-50)\/15). Calculate c*n(m) + 27*w(m).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.126 + 0.026. Let p = j + 6. Let x = 0.12 + -1.12. Which is the closest to p? (a) x (b) 4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 28*s - 20. Calculate n(20).\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 2*y + 1. Is t(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11 = -2*q. Let t = q + 24. Let m = 56 + -19. What is the remainder when m is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 521 - 169. Is u a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-12)\/16))\/((-8)\/24). Let w(u) be the third derivative of 0*u + 6*u**2 - 1\/120*u**6 + 0 - 5\/6*u**3 + 7\/24*u**q + 1\/10*u**5. Determine w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218198 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -166840\nAnswer: -2\/20855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/7))**(-3\/7))**28 assuming j is positive.\nAnswer: j**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 15*w - 59. Let p be s(4). Let x(t) = -1. Let r(v) = 2*v**2 + v + 6. Determine p*r(z) + 5*x(z).\nAnswer: 2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p**4 + 35*p + 5*p**2 + 0*p**3 + 73 + 2\/5*p**5. What is the first derivative of g(c) wrt c?\nAnswer: 8*c**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -3, -1\/211?\nAnswer: -1\/211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 3*f**6\/10 + 5*f**2 + 6*f. What is the first derivative of v(d) wrt d?\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 138127354 to the nearest integer?\nAnswer: 11753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1515 + -10?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 58.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**2. Let s(a) be the third derivative of 0*a**3 + 0*a - 4*a**2 + 1\/24*a**4 + 0. Determine p(s(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 1398*o**3 + 8 - 1413*o**3 + 0 - 3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.393 and 230.\nAnswer: 224.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11, -21, -45, -89, -159, -261, -401?\n\"Answer: -i**3 - i**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*k - 3 = -74*k. Let d be (-7 - (0 + k)) + -4. What is the hundreds digit of 18\/4*(-224)\/d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 1 - 3. Let g be (5 + (4 - 13))\/(-1 + v). Let t(w) = w**2 + 2*w. Let o(q) = 3*q**2 + 5*q. What is g*o(u) - 5*t(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 36 + -5 + -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45088358 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8975 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 5 - 9 - p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-733.\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1788 and 1044?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12210 and 910755?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -3. Calculate the common denominator of 321\/27 - v\/9 and ((-2)\/24)\/((-3)\/7488*-132).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*r**3 + 3522600*r**2 - 88633145055*r - 25324043290 = 0. Calculate r.\nAnswer: -2\/7, 50323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 7. Suppose 36 = 5*p - 3*y, 0 = -0*p + 2*p - 4*y - 6. Let k be q(p). Suppose 3*l + 0*f - 470 = k*f, 3*l - 478 = -2*f. List the prime factors of l.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90486.\nAnswer: 2, 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is ((61255\/24)\/(205\/164))\/(1\/78) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20240, 20231, 20208, 20165, 20096?\nAnswer: 19995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1400 and -45\/2518.\nAnswer: 1762600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5160.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 501 + -39b1a?\nAnswer: -39619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -3, 0 = -4*f + 3*l + 29. Let k = -8 - -18. What is the lowest common multiple of f and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 15 + 9. Suppose -o - k = -3*o. Suppose -5*a - v + 71 = -0*a, 5*a - 63 = -o*v. Calculate the greatest common factor of a and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-11 - ((-42 - -139) + (4 - 8 - -5))).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.1. Suppose -32*m - 2472 = -24*m. Let p = 1543\/5 + m. What is the closest to 0.2 in o, 2, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 9. Solve 0 = -n*r + 6 - 26 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14268 - 357791 - 71542 = -113*f + 6542*f for f.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1368\/96*9*((-67)\/9 - (-322)\/46).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((2 + sqrt(1573) + 5)*-3)**2 + (1*-1*sqrt(1573) + (sqrt(1573) + sqrt(1573) + 1 + 4 + sqrt(1573) + sqrt(1573) - sqrt(1573)))**2 + -4.\nAnswer: 1606*sqrt(13) + 20914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*d + 1718 + 2858 = -137*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 16*c + 48. Let b(f) = -f**2 - 8*f - 23. Let a(d) = -7*b(d) - 3*s(d). Let w be a(-2). Solve -w*v + o = -4, v = 5*o - 3*o - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 1 + (3\/(-1) - -3). Calculate the common denominator of 139\/18 and z\/((-12)\/1270)*14\/(-210).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i - 40. Let t be g(10). Let l = -4 + 0. Let n(s) = s**2 + 4*s + 4. Let z be n(l). What is the highest common factor of t and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Suppose s = 3*k - 0. Suppose 2*w - 56 = -k*w. What is the highest common divisor of 98 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/3)\/(-3*(-5)\/(-90))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.27 - -0.73. What is the nearest to 2\/7 in -2\/13, 0.2, -9, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 + 60 + 18)*(4*h + 2*h - 5*h) to the form s*h + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 - 3*d**2 + 0*d**2)*(-48 - 127 - 198)*(3 + 2*d**2 - 3) to the form u*d**2 + y*d + w + n*d**3 + r*d**4 and give r.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 10:26 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -377 (base 8) to base 14.\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23597 is divided by 342.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 48?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m + 73. Determine a(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 4:26 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 20*d. Let m(z) = -4*z. What is -20*m(b) + 4*s(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - 0.3. Let v = -2.1 + d. What is the biggest value in 0.4, 0, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132592891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 481583 (base 10) in base 5?\nAnswer: 110402313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/7)\/d**(-4))\/(d*d**(2\/7)*d*(d\/((d\/d**0)\/d))\/d))\/(d**(-1\/4)*d\/(d**(4\/5)*d)*((d\/d**1)\/d)**(2\/9)) assuming d is positive.\nAnswer: d**(3583\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1951\/10 or -195?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -49*r**2 + 3 - 76*r**2 + 112*r**3 + 29*r**2 + 211*r**3 wrt r?\nAnswer: 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14486914657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -108 in decreasing order.\nAnswer: 1, -3, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h = 26*h - 15. Factor -1\/4*l**h + 2 - 7*l + 2*l**4 + 19\/2*l**2 - 25\/4*l**3.\nAnswer: -(l - 2)**3*(l - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 5*m + 2*m)*(-3 - 1 + 2)*(34*m - 15*m - 16*m) as y*m**2 + n*m + h and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -17, -6, 9, 28, 51, 78?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -h + 2*k, 5*h - 5*k = 866 - 176. What is the remainder when h is divided by 54?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*c**3 + 3332*c**2 + 125628*c - 1120212 = 0. Calculate c.\nAnswer: -87, 37\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 7. Let i(j) = 7*j - 4. Let l(g) = -13*i(g) + 6*n(g). What is the lowest common multiple of l(-2) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/145 + (144\/(-45) - -3). Is 1 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grg when three letters picked without replacement from tgtrttrrrtg.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, i: 9}. What is prob of sequence ic?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31344 (base 13) to base 7.\nAnswer: 515565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -3*u. Suppose -u*q - 128 = -2*j, 0*j + 4*q = -2*j + 122. Let f = -32 - -54. Calculate the remainder when j is divided by f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 4*u**2 + 8*u + 5. Let d = -144 + 139. Calculate q(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20951 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 48 * 1198.12\nAnswer: 57509.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(66)\/(-3*sqrt(54)) - (-1 + (sqrt(88) + -4*sqrt(88))\/sqrt(8) + 5).\nAnswer: -4 + 28*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/73872 and -107\/101574.\nAnswer: 812592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23869527 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/96*(-88)\/1023?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -132.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(153) - 3*sqrt(153)))\/(sqrt(576) + sqrt(576)*-2).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -2. Let h = -26 - a. What is the biggest value in h, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + r - 1. Let k(x) = -5*x**3 + 3*x**2 + 4*x - 1. Let a(c) = 6*i(c) - k(c). Let g be (-1 + -2)\/((-3)\/(-4)). What is a(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*((-748)\/(-55) - 13). Solve -15 = 9*p + s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1980 - 909 = 30*x - 309 for x.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 2079208*g - 251525604 = 0. Calculate g.\nAnswer: -519681, -121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -22, 0.1, 0.7 in decreasing order.\nAnswer: 0.7, 0.1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83497412 rounded to four dps?\nAnswer: -0.835","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 500*z**2.\nAnswer: -4*z**2*(z - 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31465, 63123, 94769, 126397, 158001?\n\"Answer: -y**3 + 31665*y - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -881.\nAnswer: -4\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-4) - 3724\/(-392)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 4 (c) 0.35 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -3*n**4\/16 + 9*n**2\/8 - 3*n\/2 + 91. Factor l(p).\nAnswer: -3*(p - 1)**2*(p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 430?\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.4 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 6, 1, 31, -48, 3 in ascending order.\nAnswer: -48, -3, 1, 3, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26242 and 302?\nAnswer: 3962542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 22*d = -17*d + 53, 0 = -2*y - d + 44. Solve -5*a + 17*k - 13 = y*k, 1 = -2*a - 3*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.195 or 1101686?\nAnswer: 1101686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.29 + 0.09. Let k = -3.1 - u. Let q = -5 + k. What is the nearest to q in 5, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -0.5 (c) 4 (d) -780\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of -b**5\/60 - 2*b**4\/3 - b**3\/3 - 9*b**2. Is m(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 2e3?\nAnswer: -2e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**2 + 21*s + 5. Let j(w) = -2*w**2 + 10*w + 2. Give -5*j(u) + 2*q(u).\nAnswer: -2*u**2 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -12*q - 223. Let x be j(-20). Suppose -14*f + 128700 = -x*f. Round f to the nearest one thousand.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + (-3)\/2)*20. Let v be (-19)\/(-5) + 2\/l. Let x(d) = 2*d**2 + 7*d + 13. Let c(q) = q**2 + 3*q + 6. Let m(y) = 13*c(y) - 6*x(y). Give m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-3)*390\/(-20)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 10:50 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7036*s = 7051*s - 172335. What are the prime factors of s?\nAnswer: 11489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*f - 14, -3*z + 138*f - 140*f = -6. Suppose 0 = -5*n - j + 318, -5*n + j - 4*j = -314. Calculate the greatest common factor of z and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 3*l = 7*v - 24, -l + 2 = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 + 0*w + 0*w + (-2*w + 2*w - 2*w**2)*(w**2 + 26*w - 26*w))*(3 - 1 + 7).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 404325.398 to the nearest ten thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/12))\/(n**5*n*n)*(n\/n**(3\/4))\/(n**10*n) assuming n is positive.\nAnswer: n**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7027553 is divided by 1905.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 + 0*i**3 - 3*i**3 - 3*i**2 + 12*i**2.\nAnswer: -4*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333676 (base 14) to base 8.\nAnswer: -6502770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8008129 litres to millilitres.\nAnswer: 800.8129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10922 divided by 11?\nAnswer: -10922\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 1 = 2. Let l(f) = f**2 - 3*f - 2. Let w be l(4). Let p be (w\/5)\/(8\/5). Is p at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(76) + sqrt(19) + (2*sqrt(57))\/sqrt(3) - (-1 + (-2*sqrt(19))**2*-4 + (sqrt(19) - sqrt(38)\/sqrt(2))*3)).\nAnswer: 5*sqrt(19) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 55 + 224 + 61)*(l**3 + 3*l - 3*l).\nAnswer: 250*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j = -2*i - 24, 5*j - 48 = -i. Let v(p) = 23*p**2 - 3*p + 17. Let s be v(3). Let d = 304 - s. What is the remainder when d is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-46) + 164*(-5)\/6440.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b - 16*b - 190 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3675005807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, i: 1, a: 9, l: 1}. Give prob of sequence xi.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -9*c**5 + 18784*c**4 - 375299*c**3 + 2424956*c**2 - 5027200*c + 529152 = 0?\nAnswer: 1\/9, 4, 8, 2067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u - 105 = 0. Suppose 0 = -22*o + 31*o + 45. Let k = o + u. Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.09 + 0.09. Let y = -2\/143 - 1\/13. Which is the smallest value? (a) 0 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36644 - -70298. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -115*m + 7061. Let v be s(62). Put v, 0, -48, 3 in increasing order.\nAnswer: v, -48, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -34350, -34346, -34342, -34338?\n\"Answer: 4*q - 34354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, -1 in decreasing order.\nAnswer: 5, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 73\/((-16425)\/720) - 116\/(-5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16, 5, 638 in ascending order.\nAnswer: 4, 5, 16, 638","meta":{"dup_signals":{},"source":"comparison__sort_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: Two letters picked without replacement from {h: 1, z: 1, l: 1, q: 1, r: 1}. Give prob of picking 1 z and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(171)*-1)**2 + (0 + sqrt(171))*-3 + -2)*6*-6.\nAnswer: -6408 + 972*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 + 58. Let c = 0.2 - 0.1. What is the biggest value in p, 1\/9, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -5*r + 3. Let v(j) = -4*j + 2. Let o(b) = 2*q(b) - 3*v(b). Let t = -6 - -8. Let i(g) = 3*g**2 - g**2 + t*g**2. Give o(i(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 + 18*l**2 - 4*l - 4. Let q(h) = 5*h**3 - 17*h**2 + 4*h + 4. Let z(a) = 4*j(a) + 5*q(a). Factor z(g).\nAnswer: (g - 2)*(g - 1)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05 + -1.95. Let y = -4 - q. Let j = y + 2.4. What is the closest to 0 in j, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 9 (c) 2\/9 (d) 3 (e) 1 (f) -113.6 (g) 93\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 1:02 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1515 divided by -9\nAnswer: 505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111505121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/5 - 6888*f + 137744\/5 = 0. Calculate f.\nAnswer: 4, 34436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, h: 4, e: 4}. Give prob of picking 1 s and 1 e.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18780*k - 5*k**4 + 14796*k**2 - 330*k**3 + 5366 + 8854 - 9901*k**2.\nAnswer: -5*(k - 6)**2*(k - 1)*(k + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1362149 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*sqrt(63) + 2)*-6.\nAnswer: -18*sqrt(7) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 20, -7*q + 5 = 2*m - 12*q. Solve 18*j - m*j - g = 1, -20 = 5*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 + 0.394. Let j = 182.254 - l. Let c = 182.000151 - j. Round c to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3426, -3659, -3892, -4125, -4358, -4591?\nAnswer: -4824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -600 at least as big as -603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 38*c - 1439. Let i be n(38). Solve i*s = 13 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260464 divided by -32558.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*v + 20 = 56*v. Suppose 0 = -3*u + w - 6, v*w = -0*w. Is (-4)\/(-2)*(1358\/4 - u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 0*j**2 + 8*j**2 - 2*j**2 - j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r + r + 3*r + (-r + 0*r - r)*(-7 + 3 + 2) + 2*r + 0*r + 0*r - 4*r + r + 2*r + r + 2*r - r)*(0*r + 6*r - 3*r) - 18*r**2 - 6*r**2 - 8*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 45*n - 146. Calculate t(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of -6*d**5\/5 - 5*d**4\/2 + 20*d**3\/3 - 5*d**2\/2 - 333. What is the third derivative of x(s) wrt s?\nAnswer: -144*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4050 and 3650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2472*f**2 + 13*f - 13. Let y(v) = -1235*v**2 + 6*v - 6. Calculate -6*b(i) + 13*y(i).\nAnswer: -1223*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011011011111011011 - 100?\nAnswer: 101011011011111010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 149136755 and 421588.\nAnswer: 596547020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27 (base 16) to base 2.\nAnswer: -100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**5 + 16*q**4 - 4*q**2 + 16*q - 16. Let t(l) = l**4 + l - 1. Let h(u) = s(u) - 16*t(u). Find the third derivative of h(m) wrt m.\nAnswer: 240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2731 times -0.24\nAnswer: 655.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.7 - 138.3. Let v = 141 + r. Let s = -3 + 3.1. Sort v, 5, s in ascending order.\nAnswer: v, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let q(s) be the first derivative of 11*s**2\/2 + 3. What is q(j(y))?\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -11*u**3 - u**2 + 2*u + 4. Let g(w) = 55*w**3 + 4*w**2 - 9*w - 21. Let v(n) = 2*g(n) + 11*r(n). Is v(-3) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/8 - 1\/(-4). Suppose 5*f + 10 = b, -5*r = -r - 4*f - 216. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.63.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, 2, 84\/5, 0.22, -2\/5?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 3, 0.02, -1.34, -187?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 428, 396, 378, 374, 384?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 52654259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3*l**2 - i**3*w**2 + 3*i**2*w + 5*i*l*w**2 + l**2*w**2 - 2*l**2*w - 7*l*w wrt w?\nAnswer: -2*i**3 + 10*i*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 30*w - 482. What is b(16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.5 (c) 1 (d) -210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1338205*p**2 + 1337984*p**2 - 2676166*p**2.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 84, 125, 168, 213, 260?\n\"Answer: j**2 + 36*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y - 6*y + 7 - 4 to the form l*y + c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 3:48 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120031 (base 6) to base 11.\nAnswer: 7893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2893 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/6)\/((-6)\/36*8). What is the closest to -1\/22 in 2, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*m - 3080 = 2317 + 399 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 3. Let q be i(-6). Let a be ((-28)\/(-21))\/(2\/q). Which is smaller: a or 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - 5c37?\nAnswer: -5c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2461.778 times 0.8?\nAnswer: -1969.4224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8159 - -8160. What is the nearest to -0.2 in k, 0.11, 9?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10552.268 to the nearest ten.\nAnswer: -10550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68820\/(-4092) - 2\/11.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3854698?\nAnswer: 2, 1927349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x. Let d(z) = 162*z + 2. Calculate d(m(c)).\nAnswer: 486*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 8*d**2 + 22*d - 18. Let p be z(10). Let t be (0\/p)\/(0 - -2). Solve t*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1383763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327*o + 159*o + 84*o + 86*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/11952 and 37\/31633956.\nAnswer: 126535824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**5*c**(-22)*c)**(-1\/27) assuming c is positive.\nAnswer: c**(16\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -103*i + 3736. Let g be f(36). Which is the biggest value? (a) -0.2 (b) g (c) 0.5 (d) -2\/19 (e) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 56. Let o(c) = -c. Let s(n) = 2*o(n) - q(n). Let l be s(-28). Solve l = 4*u - 8*u - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*z - 7 = 0, -2*o - o - 4*z + 1 = 0. Let h be o + 8\/(7 - 3). Solve d - h = -0*j + j, -5*j = 5*d - 45 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 127 + -127. Let w(f) = 16*f + 963. What is the units digit of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 97 + -68. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j**3 + 2*j)*(0*j + j + j) + 0*j**3 + 0*j**3 - j**4 + 6*j**4 - j**2 + j**2.\nAnswer: 7*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -96*i - 528. Is u(-8) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37196 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**2*z + 1400*t**2 + 1904*z + 5 wrt z.\nAnswer: 2*t**2 + 1904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 42\/10 + (-4)\/20. Suppose -l - 3*a + 2 + 8 = 0, -4*l + u*a = 40. What is the remainder when (-1 - -2) + (-170)\/l is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1974288 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.38201 rounded to two dps?\nAnswer: -4.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 533\/188 + -145\/47. Which is the nearest to 0.0186? (a) 0.5 (b) 0.4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-20)*q**(-9\/8)\/q)\/(q*q**(-2\/7)*q)**(-1\/58) assuming q is positive.\nAnswer: q**(30701\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/8)\/(1\/2). Suppose 0 = i*r - 6*r. Is r bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 70181675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -77323.561 to the nearest 10.\nAnswer: -77320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15901 is divided by 1960?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 - 19*z**3\/4 - 11*z**2\/4 + z = 0. Calculate z.\nAnswer: -4, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 3:30 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 10:41 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3 - 29*j**2 - j - 18?\nAnswer: 6*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w**2 + 3*w. Let s be r(-2). Suppose 0 = -2*c - g + 9, -3*c = -4*g + s. What is the common denominator of 3 - (43\/c - -2)\/(-7) and 23\/11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 - -12) + 96\/(-15). What is the third smallest value in p, -0.5, -2\/3, 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -9*c + 2086. Let s = c - 165. What are the prime factors of s?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -82*i**3 + i**2 + 47*i**3 + 43*i**3 wrt i?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 1211112910?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 9:37 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -4, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582363763 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.26 - -55.46. Suppose -3*m + m = 6. What is the closest to 4 in z, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 147 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2))\/g*g)**18*g*g**1*g\/g**7)\/(((g*g*g**0*g*g)\/(g**(2\/3)*g))\/(g\/(g**(1\/5)\/g)*g**(-3\/2)*g)) assuming g is positive.\nAnswer: g**(-691\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79961 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -14 - 18) + 59 + 22?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 4 - 16. Let u = -10 + 14. Suppose -p = -y - 1, -u = -2*y + s. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 503109*y**2. Let d be l(-1). Suppose -5*p + 2*p = -d. Let s = 26297 + p. Round s to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 11 = -2*v. Suppose 4*b + 1 = v. Solve b*s - 3*d - 3 = s, d - 6 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2\/5 + 52365014*l\/5 - 104730036\/5 = 0. Calculate l.\nAnswer: -26182509, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -30*i + 53*i - 12 - 22*i. Give d(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3*(-1 + -2 + -3). Suppose -4*d + 161 = -123. Suppose l*a - d = 5*p, -2*a - 5*p = -1 - 12. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 86 times -62050?\nAnswer: -5336300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 54*s**2 - 7*s + 6. Let z(g) = 59*g**2 - 4*g + 4. Let w(y) = -2*i(y) + 3*z(y). Let n(f) = 24*f. Calculate w(n(d)).\nAnswer: 39744*d**2 + 48*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0703 times 95599.7\nAnswer: 6720.65891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 58 = 148. Solve 2 - q = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1\/2 (b) -104 (c) -7 (d) -1\/2 (e) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-976)\/39528 - (-280)\/(-324).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 9*f - 9. Let x = 70 + -84. Suppose 4*o - 8*o + 84 = 0. Let s be (o\/x)\/((-6)\/28). Calculate w(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**6\/2 + c**5\/5 - 17*c**4\/4 - 4*c**3\/3 - 1030. What is the third derivative of u(s) wrt s?\nAnswer: 180*s**2 + 24*s - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 161*l**3 - 2349*l**2 - 4219*l - 2030.\nAnswer: -(l + 1)**2*(l + 14)*(l + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.252 - -0.952. What is the closest to -0.1 in 3, 0.003, -0.2, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143407907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(128)*-1)\/(sqrt(8)*1*-1))\/(-4*(sqrt(200)*-1 - (sqrt(128)*1 + sqrt(8)))).\nAnswer: -sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 15 = 3. Let f(m) = -m**2 - 8*m + 7. List the prime factors of f(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Let s(a) = -a**2 + 15*a - 9. Determine s(q(u)).\nAnswer: -16*u**2 - 60*u - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - 163749 + 163749)*(-3 + 1 + 5) in the form v*p + m and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 87 + -40 + 33 + -41 + 77\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*n + 2021*n = -6*l + 18, -2*n + l = 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -247, -335, -467, -649, -887, -1187, -1555?\nAnswer: -1997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -840226, -840257, -840310, -840385, -840482?\nAnswer: -840601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.48621212 from -1065.\nAnswer: -1065.48621212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -5. Suppose 3*u = -l, 5*q - u - 42 = -0*q. Find the third derivative of -4*n**2 + q*n**6 + 0*n**6 - 5*n**6 wrt n.\nAnswer: 360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -10?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, -30 in decreasing order.\nAnswer: 0.4, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 10:36 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 710?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + j = 5*d - 15, 5*d - 19 = j. Let t = -6 - -3. Let l = -2249\/3765 - 2\/753. Which is the nearest to l? (a) -2 (b) d (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 - 434*j**2 - 1316*j - 880.\nAnswer: 2*(j - 220)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*y + 13 = 0, -4*s + 0 + 1 = 5*y. Suppose 3*c - 16 = -s. Factor 0*f**5 - 2*f**3 - 1 + 0*f - f**c + f + 2*f**2 + f**5.\nAnswer: (f - 1)**3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 14. Let i = -14 - -5. Let c be s(i). Let p be -6*(2\/4 - 1). Sort p, c, 1.\nAnswer: 1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -24, -31, -36, -39, -40?\n\"Answer: y**2 - 12*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*m - 10 = v - 234*m, -4*v + 51 = -5*m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58854907 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1682 = -5*y - 2*o, -1758 = -5*y - 3*o - 75. Suppose -4*q - y = 5*c, 0*c + 4*c = 0. Let d = 91 + q. Sort -5, -3, d in increasing order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 254800 - 254440. Let p be (-2)\/6 - 136\/(-3). What is the greatest common divisor of c and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**26*z\/z**32*z)\/(z\/(((z**(10\/3)\/z*z)\/z*z)\/z))**(2\/31) assuming z is positive.\nAnswer: z**(-271\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 13 (b) -0.05 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.67 to zero decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b**3*n**3 - 2*b**3*n - 3*b**2*n - 2995*b + 18*n**3 - 130*n**2 wrt n?\nAnswer: 72*b**3*n + 108*n - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -301*k**3 - 49*k**2 + 87762 wrt k.\nAnswer: -903*k**2 - 98*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iif when three letters picked without replacement from {f: 3, i: 11}?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 309*f - 45. Let g be h(8). Suppose -1566 = -5*p - 2*z, g = 5*p + 5*z + 867. What are the prime factors of p?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 101484241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5*o + 176 - 1047 = 0, -w - 2*o = -221. Suppose 183 - w = -4*j. What is the least common multiple of 8 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.9 + 0.0522.\nAnswer: 2.9522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/210738 and -113\/2370?\nAnswer: 83241510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 13*m**2 - 5*m - 4. Let u be g(6). Find the third derivative of -2128*f**u - f**4 + 2126*f**2 - 1 + f**4 - 14*f**6 - f**3 wrt f.\nAnswer: -1680*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 10*v - 4. Let c be o(-8). Suppose -4*y + c = -y. What is the second derivative of 4*d + 4*d**y - 5*d - 2*d wrt d?\nAnswer: 48*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17055832 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -44\/9, 1\/34, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*r + 4 = 0, -p - 6 = -0*p - 4*r. Suppose -3*q - l = p*q - 2152, 6 = -2*l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1904 is divided by 314.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (58\/783 + 52\/27)*(-45)\/(-18). Sort -83, h, 4, 2, -9.\nAnswer: -83, -9, 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0271405 centimeters in meters?\nAnswer: 0.000271405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -7 - 4 - 0 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 30 = -x - 4*x, -4*x + 7 = -c. Suppose 0 = c*m - 3*u - 754, -m + 0*m = 3*u - 140. Let w = m + 35. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 1.408 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 - 63*m + 311. Let j be t(5). Let p(z) = -z**3 + 4*z**2 + 11*z + 6. Let c be p(6). Put j, -1, 12, c in descending order.\nAnswer: 12, c, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11880 + -11861. Suppose -216 = -3*j + 3*t, 5*j + t - 48 - 312 = 0. What is the remainder when (2 + j)*2\/4 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 689342 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -2\/15 (c) 4 (d) -15\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 + 6)*(3*b**2 - 2*b**2 + 7*b**2)*(-9*b**2 + b**2 + 7*b**2).\nAnswer: -96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -0.4. Suppose 4*w = -5*f + 29, 2*w - 24 + 2 = -4*f. Let x = -3.3 + 3. Which is the nearest to 0.2? (a) v (b) w (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1.8. Let n = f - 0.6. Let w = 26 - 23. What is the third smallest value in n, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g**3 + 0 - 5\/12*g**4 - 24*g**2 + 0*g. Let o(x) = -13*x**2. Determine o(z(u)).\nAnswer: -1300*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 1\/8, 20\/387, 8?\nAnswer: 20\/387","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-1)\/(-136))\/((-1)\/2)*7288\/(-3644).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14327 + 15124. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*k**5 + 56*k**3 - 56*k**3 - k**5 + k**5 - 2*k**5 + (0*k**4 - 6*k**4 + 4*k**4)*(k + 0 + 0) + 2*k**5 + 6*k**5 - 2*k**5.\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -2*(-2)\/(-2). Let k = r - -7. Suppose -j + 1 + 4 = 0, 8 = 4*x - 4*j. Solve k*i = -1 - x for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 16*a**2 + 2*a + 36. Let k = 37 + -21. Let x be v(k). What is the highest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -14. Let m be t\/(-14)*(1 - 0 - 9). Let h(b) = b**3 - b. Let a(l) = 2*l**3 - 4*l**2 - 2*l + 3. Let i(r) = a(r) - h(r). Determine i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6083 + -3265. What is the hundreds digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75838 and 658?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(448) + -2)**2 + (sqrt(448) + 1 + sqrt(448) + 2)**2.\nAnswer: -7 + 224*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, n: 11, a: 4}. Give prob of sequence nn.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k**3 + 6*k**2 - 11*k - 1. Let f(j) = -4*j**3 - 3*j**2 + 7*j + 3. Let c(r) = -5*f(r) - 3*u(r). Give c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*i - 7*i = -13929, -5*y + 3*i + 34875 = 0. Suppose 9*m = 2*m + y. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -15. Calculate the remainder when 10 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-6*(sqrt(475) + (1 + sqrt(475) - sqrt(475))) - (5 + sqrt(475) + 0)) - (sqrt(475) + 1*sqrt(475) + -4 + 4 + -2))**2.\nAnswer: 650*sqrt(19) + 12044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921 a factor of 828671982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + l - 5, l = 5*t - 7*t + 5. Suppose -264 = 3*y + y. Sort 2, y, t in increasing order.\nAnswer: y, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 24*x - 282. Let r be j(17). Calculate the highest common divisor of r and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89095438 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*p - 50, 5*p - 74 = l + p. Let z be 49\/2 + 31\/l. Solve -5*y = -z + 34 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4527*u**2 + u - 4536*u**2 - u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1632, 3262, 4884, 6498?\n\"Answer: -4*f**2 + 1642*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 103870, 5 in decreasing order.\nAnswer: 103870, 12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 1 = 2*g - 9, 5*w + 30 = -g. Let o be (-6)\/(-24) + w\/8. Let x = -9\/16 + 19\/48. What is the closest to 0 in o, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.3800017 + -0.38. Round l to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21290, 21200, 21048, 20834, 20558, 20220, 19820?\n\"Answer: -31*i**2 + 3*i + 21318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 8*s - 80 = 0. Let b be (-1 + s)*(-34 - -35). Let m(n) = -8*n**2 + 22*n + 46. Let h be m(b). Round h to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*r**3 + 8*r**2 - 18 - 314*r**3 - 208*r**3 wrt r?\nAnswer: -2808","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5760)\/(-7168) - (-13)\/182.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6638459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1300*c + 711 = 1328*c + 39 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 9 - 19*h + 11*h)*(-3*h**2 + 14*h - 14*h + (-3*h + h + 0*h)*(5*h - 2*h - h) + 4*h - 4*h + 2*h**2).\nAnswer: 10*h**3 + 45*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 + 57. What is the highest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - s)*(23*s - 18*s - 12*s**3 - 10*s).\nAnswer: 12*s**4 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/66*(-474)\/4. Differentiate 67*v**3 + q + 126 - 39 - 19 with respect to v.\nAnswer: 201*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14452116 by 4817372.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44.8 + -45. Let u(x) = x + 5. Suppose 0 = 2*k - 3 + 15. Let h be u(k). Which is the nearest to 0? (a) 5 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -1247. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7029693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z - 7. Determine g(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 + 3)*(-3 + 2*b + 3)*(0 - 4 + 2)*(1 + 2 + 1) as n + d*b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 14014 = 4*w - 3*t, -3*t - 5614 = 2*w. Let i = w - -4645. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 8 - 2 + 23*f**2 - 59*f**2 to m*f + x*f**2 + c and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 139.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.3 (c) -0.36 (d) -1\/8 (e) -6 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = 10. Suppose -i = -5*j - 3. Let h be j\/(-3)*(3 - 6). Let r(f) = f**2 - 6*f + 6. Determine r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92522198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000145797 rounded to 7 decimal places?\nAnswer: -0.0000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1608)\/3484)\/((-225)\/78)?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 5:18 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-136892.\nAnswer: 41067.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1495760 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: What is the remainder when 519244 is divided by 17891?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -881*u - 886*u + 1762*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 3:05 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3388*d - 1376*d + 1741*d + 226*d + 1355*d.\nAnswer: 5334*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5278042 or 3\/34?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179*h**3 - 17*h**2 + 28208*h + 1 wrt h.\nAnswer: -1074*h - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -5 (c) -14.8 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 46. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 - -48. Let o(m) = 5*m + 32. Let a be o(b). Solve -a - 10 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9.3, -15\/4, -1, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 592858 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5105461\/42 + 121617. Let c = 312\/7 - k. Calculate the common denominator of c and 1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 53*a**3\/3 + 9*a**2 + a + 56. Find the second derivative of z(t) wrt t.\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 47*k**3 - 17*k**2 + 17*k + 20. Let q(o) = -16*o**3 + 6*o**2 - 6*o - 7. Give -6*c(a) - 17*q(a).\nAnswer: -10*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.003, 2\/13, -2\/3 in decreasing order.\nAnswer: 7, 2\/13, -0.003, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 11212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 14 + 20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (44\/6*-6)\/(-2). Calculate the highest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1054444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 852 + -17.\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.6397 - 0.6097. Sort a, 0.05, -5, -2 in descending order.\nAnswer: 0.05, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t**2 - 3*t - 1. Let f(y) = y. Calculate 4*f(z) + u(z).\nAnswer: -16*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 n when two letters picked without replacement from {a: 3, n: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1108 divided by 53.\nAnswer: 1108\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268) - sqrt(2268)*-2)*-6 + ((sqrt(2268) + 2*sqrt(2268))*1 - sqrt(2268)))\/((sqrt(1296) + 2*sqrt(1296))*1 + sqrt(1296) + sqrt(1296)*-2*-3).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 31?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 + 3*n**2 + 3*n + 3. Let j be v(-2). Let z = j - -27. Calculate the least common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (30\/(-12) + 2 + 1)*-6. Let v(m) = -61*m. Let a be v(n). Suppose -2*p + 25 = -a. Is 26 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1311264 = 323*q - 359*q. What are the prime factors of q?\nAnswer: 2, 29, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) -4 (c) -5\/2 (d) -0.4 (e) 5\/6 (f) 0.42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.20408329 to 4 dps.\nAnswer: 1.2041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express w + 3*w**4 + 779 - 4*w**4 - 777 - 25*w**2 as p + u*w**2 + z*w + k*w**3 + j*w**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 3215*g + 59490.\nAnswer: -5*(g - 18)*(g + 661)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 498 = -704*f + 699*f, -502 = -5*f - 2*r. What is the highest common divisor of f and 120?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 277 - 244. Calculate the remainder when 393 is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 812*w**4 - 10268*w**3 - 190488*w**2 - 66448*w - 3680 = 0.\nAnswer: -10, -2\/7, -2\/29, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25396781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 464*c**4 - 2*c**2*r**3 - c*r**3 - 3*c + 4*r**3 wrt c?\nAnswer: 5568*c**2 - 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1176)*-1)\/(sqrt(24)\/sqrt(8) - ((sqrt(432)*2 - sqrt(432)) + sqrt(12))).\nAnswer: 28*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203.3 and -4.\nAnswer: 813.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.96 + -0.96. Let s = -0.02 + -0.38. Which is the fourth biggest value? (a) -3\/4 (b) g (c) 2 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542 - 1083\/2. What is b in 0 + r*b - 1\/4*b**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110 (base 5) in base 12?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 3*u - 5*f, 4*f + 3 + 2 = -5*u. What is the third smallest value in 0, u, -14, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.040719*-0.4.\nAnswer: 0.0162876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -59 - (-16 + (1 + 2 - 2) + (9 - 3))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 69434 and 1165.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2028 is divided by 150.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*t + 10 = 0, -41 = -5*i - 4*t + 5*t. Calculate the least common multiple of i and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/6 + -23\/18. Let j = f - 4\/45. Which is the second biggest value? (a) 3 (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1443968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -2365 and -2369 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -2*j - 4*f, j - 5*f - 51 = -4*f. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3*i**3 + 23*i**2 - 5*i + 9. Calculate q(-8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*((sqrt(637) + sqrt(637) + (sqrt(637) - (sqrt(637) - ((sqrt(637) - (sqrt(637) - 2*(sqrt(637) + 2)) - sqrt(637))**2 - sqrt(637)))))*-3 + -3) + 4.\nAnswer: -11768 - 1134*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -147736*v**2 - 939*v + 939. Let m(q) = 315*q**2 + 2*q - 2. What is -2*l(u) - 939*m(u)?\nAnswer: -313*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-170)\/(29 + 2520\/(-80)) + 2*1).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.2, -4, 7\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 631 - 502. Does 12 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -6, 23625?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -20*h - 176. Give c(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.2, 0.1, -4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/6 + 47*q**3 - 9*q - 59. Determine s, given that w(s) = 0.\nAnswer: 0, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177 or -171?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9486297l?\nAnswer: 948.6297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916.1519s in minutes?\nAnswer: 31.935865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 7770*s + 7770*s - 15*s**2.\nAnswer: -15*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 4*r + 17. Suppose -8*c + 10 + 126 = 0. Let w = r - c. What is w rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/4*(955 + 0). Let n be (8*2500)\/((-1)\/x). What is n rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105028 and 11836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 30 = -4*m. Let z(h) = -17*h + 17. Is z(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 3165?\nAnswer: -3163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*v**2 - 25*v + 25*v.\nAnswer: -218*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -27*t**3 + 93*t**2 + 293*t + 204. Determine h(-2).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-11 + 8)) + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose 3*y - 2*j - 25 = w, -j - 36 = -3*y - 10. Calculate the remainder when (15\/45)\/(30\/9) - 318\/(-20) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1841*b**2*l**3 + 190*b**2 - 1 wrt l.\nAnswer: -5523*b**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/135*5)\/(-1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**3 - 195*j**2 + 68952*j + 19716.\nAnswer: -3*(j - 53)*(j + 62)*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 24*q + 17. Let k(t) = 14*t**2 - 97*t - 74. Give 4*k(o) + 18*x(o).\nAnswer: 2*o**2 + 44*o + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*x**5 - 147*x**4 + 1593*x**3 - 7589*x**2 + 14130*x - 4536 = 0. What is x?\nAnswer: 2\/5, 4, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 15 = 7*t. Let c(w) = -7*w - w**3 - 7*w**2 - t*w**2 + 3*w + 7*w**2. Calculate c(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/98753 and -41\/1099.\nAnswer: 691271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 - 2*w**4 - 17*w**4 + (w**4 - 4*w**4 + w**4)*(3 - 3 + 2).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-66)\/(-4 + (-260)\/(-64)). Let u be h\/112 + 3\/7. Let z be 7\/((-7)\/u) - 0. What is the highest common factor of z and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12320)\/280*2\/(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*y, i + 3*y - 8*y = 23. Sort i, 3, -8 in increasing order.\nAnswer: -8, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 - 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -53523 (base 6) to base 4\nAnswer: -1302123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 201036 and 1739232?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -568232*y**4 + 51*y + 1273 wrt y.\nAnswer: -6818784*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*v - 3*q, -2*v = v + 3*q - 6. Let l = v + 7. Solve 20 = 3*g - 8*g - l*r, -3*g = -4*r - 23 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/4 + 514\/24 + (-35)\/210.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 4*r + 52, 3*c - 5*r + 54 = 7*c. Suppose -28 = -13*s + c*s. What is the units digit of s\/35 - (-248)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -356*l. Let n(s) be the second derivative of s**3 + 3706*s. What is o(n(t))?\nAnswer: -2136*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 4*x = -3*c + 9, -3*x = 4*c - 11. Suppose -10*o = -c*o. Let w = -865\/9 + 96. Do w and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-3)*20\/12. Let k be (-1)\/b + (-15500002)\/(-10). What is k 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 the closest to -2\/3 in 4, 0, -724, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*b + v + 154, 5*b - 5*v - 140 = 0. Let h = -116 + b. What is the common denominator of (-2005)\/h + 2\/9 and 61\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(528)*4 - sqrt(528))\/sqrt(12))\/(((sqrt(100) - sqrt(100)*-2) + sqrt(100) - sqrt(100))*2) + 5 + 2)*-5.\nAnswer: -35 + 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 92 (b) 4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -3*(((sqrt(2793) + sqrt(2793)*-2)*-2)\/((sqrt(432) - (sqrt(432) - sqrt(432)*-2*3)) + sqrt(432)))**2.\nAnswer: -2131\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.5382 micrograms in milligrams?\nAnswer: 0.9485382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xah when three letters picked without replacement from aahax?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31b + 10c70?\nAnswer: 10952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*((sqrt(77) - ((sqrt(77) + sqrt(77) + sqrt(77)*2 - sqrt(77)) + sqrt(77))) + sqrt(77))\/sqrt(11)*3 - (2*sqrt(28)*-2 + 2)*-5.\nAnswer: -52*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9aa + 32a8a?\nAnswer: 33767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236728238273 + 0.24.\nAnswer: 236728238273.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 2*t**2\/7 - 2*t\/7 + 2\/7.\nAnswer: 2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r + 59. Is 7 a factor of d(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 45904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 2583.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12839886 and 79182.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1689.7835167 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002180503914 to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -100 + 10. Let h be (-9)\/(-5) + (-18)\/f. Let n = -1.1 - -1. Which is greater: h or n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-50))\/(24\/32*(-16)\/(-60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*x, 4*x + 0*n - n = 0. Let v be x\/(3\/6*4). Let t = -11368\/13 + 874. Is t less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-165) + 18\/(-33)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 148 - 210. Let t = s + 64. Solve -t*b + 3 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 126319 and 126318 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*a + 8 = -9*a, -2*a + 1 = 3*b. Let n = 107 - 2249\/21. Which is bigger: b or n?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/50 and -107\/320.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34421 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:00 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k + 3. Let i be m(0). Calculate the highest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -77, -272, -649, -1268, -2189, -3472, -5177?\nAnswer: -7364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 30*l**2 - 36*l + 211. Let v be w(29). Is -79 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*y**4 - 657*y**3 + 62*y + 657*y**3 wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(-5 + 3 + (-5*sqrt(192)*1 + sqrt(192))\/((sqrt(44) + sqrt(176)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: -585 - 96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12275)\/20)\/(((-15)\/(-132))\/(-5)). Suppose -23*t = 2464 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let q be h(9). Suppose 2*z - q = z. Let n = -7 + z. Solve n*c = -0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 31.3, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41831)\/(-188594) - (1 - 6\/7).\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136425303 (base 7) to base 16.\nAnswer: 898fb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335*b - 332*b = 4*j + 9191, 5*b - 15349 = -j. Is 99 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 987.52 * 0.22\nAnswer: 217.2544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9 = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3530.125229 rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 33818 = -3*o, -3627 = y - 2*o - 37470. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 8.8, -5, -13, 0.2, 4, 2\/1173?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1169*b**2 - 12*b - 3. Let d(k) = -129759*k**2 - 1336*k - 334. Let t(r) = 3*d(r) - 334*y(r). Let u(j) = 2*j. Determine t(u(q)).\nAnswer: 4676*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5 + 48*j**4 - 240*j**3 + 258*j**2 + 963*j - 1890 = 0.\nAnswer: -2, 3, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 305 in ascending order.\nAnswer: 2, 3, 305","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the next term in 5220, 9168, 13106, 17028, 20928?\nAnswer: 24800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-235)\/(-25) + (-12 - -2).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -492663149.981?\nAnswer: 492663156.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 3. Let f(k) = k**2. Let z(b) = -3*b**2 + 1. Let j(y) = x*z(y) - 7*f(y). Give j(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 265 - 946*i**4 + i + 2*i**2 - i**3 + i + 947*i**4 + 735 to the form w*i**3 + x + c*i**2 + z*i + l*i**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1590)\/(-60))\/((-28)\/56)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(108)))**2 + -2.\nAnswer: 48*sqrt(3) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Suppose 0 = s, 5*r + 10 = 7*s - 2*s. Let t = -10 + 0. Let a(g) = g - 6. Give r*a(n) + t*i(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-39)*o)**(2\/5))**(-2\/61) assuming o is positive.\nAnswer: o**(152\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522747 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.30341 to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2. Let w(a) be the second derivative of -5*a**3\/3 - 24*a. What is n(w(f))?\nAnswer: 500*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*u**2 - 5*u**2 + 45*u**2)*(2 + 0 + 0)*(9 + 4 + 4 + (1 + 4 - 6)*(-2 + 5 - 2)) to m + g*u + c*u**2 and give c.\nAnswer: 1696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + 5?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 1. Let k be n(3). Find the third derivative of -l**k - 3*l**2 - 2*l**3 - 3*l**4 + 2*l**3 wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 197 = -11. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 3:52 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3147 + 5854 = 849*s + 2209 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2, 3, 1 in increasing order.\nAnswer: -5, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**2 + 3120*b = 0.\nAnswer: 0, 624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 6*q**3 - 17*q**2 + 3*q + 47. Let i(h) = -h**3 + h**2 - h + 1. Let z(j) = -c(j) - 3*i(j). Differentiate z(s) wrt s.\nAnswer: -9*s**2 + 28*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 30\/22841 and -29\/13290?\nAnswer: 303556890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 7*g - 126. Is -2 + ((-771)\/(-7) - 3\/g) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, q: 2, m: 4, u: 6}. What is prob of sequence uumq?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23030 + 24020. Calculate the highest common divisor of n and 319.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1288 divided by -8.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**7\/360 + 5*w**4\/6 - 4*w. Let f(b) be the third derivative of h(b). Let x(p) = -3*p. Determine x(f(r)).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0, -80, 634 in increasing order.\nAnswer: -80, 0, 7, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3010358 and 12974?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 13. Suppose k*c - 1547 = -467. What is the third derivative of l**2 + 360*l - c*l + 9*l**5 wrt l?\nAnswer: 540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1918171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/65*5\/2. Let m = 26 - 20. Suppose 0 = -r - 1, -2*d + 4*r = m*r. Which is the closest to 1? (a) -5 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2 = -2*q, 36*w = 33*w - 3*q - 9 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1094815 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10960 = 17*m + 52807. Let y = -2119 + m. What is y rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10627661 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + -3*sqrt(144))*1 - sqrt(144))\/(sqrt(225)*1))\/((sqrt(16)\/(sqrt(2)*3) - 3*(sqrt(8) + (sqrt(48)\/sqrt(6) - sqrt(8))))*6).\nAnswer: 3*sqrt(2)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 52?\nAnswer: -11\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (473\/(-44))\/(1\/(-4))?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g + 4. Let c be q(3). Let f = c + 25. Do f and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 5. What are the prime factors of w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 10 + (-925 - -1012) - (-3 + 5 - -10)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*n - 754*n**4 - 4*n**3 + 752*n**4 + 9*n**3 to the form f*n**3 + z*n**4 + r + q*n**2 + c*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/7, -417\/4, -3, 0.3 in ascending order.\nAnswer: -417\/4, -3, -6\/7, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 28 = -4*w, -6*k + k + w = -51. Calculate the lowest common multiple of 18\/24 + 111\/12 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(-30)\/(-18) + 0. What is the derivative of 111 + 16 + l*z - 212*z wrt z?\nAnswer: -177","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/10)\/(3\/(-6) - 0). Let h(j) = 9*j**3 - 11*j**2 + 5*j - 13. Let a(n) = 5*n**3 - 6*n**2 + 3*n - 7. Let s(w) = 7*a(w) - 4*h(w). What is s(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2)*68\/238?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2 - (-6)\/(-3). Suppose -z = 4*z + 20, x - 3*z - 24 = u. What is the smallest common multiple of 22 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -857\/1008 + -1\/144. Let v = -0.5 - -0.3. What is the nearest to 0 in i, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73275 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = j + 4*j. Is j a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (37 - ((43 - 17) + -11))) + (-1 - 71).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211323 - -2?\nAnswer: -211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*r + 5*w + 91, 14632*r - 44 = 14628*r + 4*w for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + 28 - -1 - -2. Solve 2*v = 11*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -153?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of -r**6\/24 + 5*r**4\/12 - 141*r. Factor i(w).\nAnswer: -5*w**2*(w - 2)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -957272.\nAnswer: 9572.72","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -37 + 25. Let h be 26\/8 - (-3)\/s. Suppose 0 = m + h*m - 8. What is the least common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 125.261 to zero decimal places.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 AM and 7:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**6*v*v*v**(-2\/3)*v*v**(-3)*v*v**9*v*v assuming v is positive.\nAnswer: v**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-2) + -7)\/(-1 - -2). Sort l, 1, -3 in increasing order.\nAnswer: l, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14929 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 2, z: 4, s: 1}. Give prob of sequence lt.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = n + 4. Let x be (-4 - 0)*9\/12. Let p(w) = -w - 2. Let u(b) = -2*b - 3. What is n*u(r) + x*p(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**2. Let b(s) be the second derivative of s**7\/2520 - s**4\/4 - 4*s. Let r(a) be the third derivative of b(a). Calculate r(q(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.017 and 8859487144.3.\nAnswer: 8859487144.317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -22*f. Let s(n) be the second derivative of -4*n**4 - n**2\/2 + 235*n + 3. Calculate u(s(h)).\nAnswer: 1056*h**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-80)\/(-65)) + 5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.7 (c) 13\/178\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 11*q**2\/2 - 153*q\/4 + 81.\nAnswer: -(q - 9)**2*(q - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-8\/5)\/d)\/d)\/d**13)\/(d**(1\/20)\/d)**(-17) assuming d is positive.\nAnswer: d**(-131\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + -33?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -c + 5*g, -2*g + 10 = -4*c + 3*g. Let r(b) = b**2 - 4. Let x be r(-3). Solve -5*q + 4*q - x = c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48384 and 38528?\nAnswer: 2080512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 3. Suppose -5*i = -2*p + 29, -5*i + 10 = -p + 37. What is the third biggest value in w, -1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000903837 rounded to 6 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + -106)*6\/54*6. Suppose 5*m = 2*t - 373, 6*t - 2*t = 5*m + 381. Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 2*f - 28. Let p be h(0). Let i be 4\/(-6) + p\/(-6). Suppose -i*b = -b - 81. What is the greatest common factor of b and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 88*d + 1088. Let k be c(-11). Sort 8\/5, 1\/4, 0, k in descending order.\nAnswer: 8\/5, 1\/4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*c**2 + 8221*c**5 - 324*c + 23*c**2 + 182*c**5 + 1512*c wrt c.\nAnswer: 168060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38203 - -39311. Which is smaller: u or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 6*r + 3748 - 3736. Let x(l) = -2*l**2 + 2*l - 1. Let a be x(1). Let h = 2 + -8. Sort a, r, h, 4 in increasing order.\nAnswer: h, a, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 21*z + 70. Let g be x(13). Let 0 - 1\/5*h**g + 1\/5*h + 0*h**3 + 2\/5*h**2 - 2\/5*h**4 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*22*(-3)\/12. Suppose 23 = 4*h + 3*j, -j = h + h - g. Solve k - 5 = h*t, -k - 7 - 6 = 4*t for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 221 - 219. Solve -l - 2 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -816 - -1145. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 6 + (-6 - (-5)\/1). Solve 22 = -j*k - 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**4\/15 + 696*m**3\/5 - 78298*m**2\/15 - 6196*m + 32160 = 0 for m.\nAnswer: -3, 2, 40, 1005","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -364, -1452, -3258, -5782, -9024, -12984, -17662?\n\"Answer: -359*y**2 - 11*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*q + 3*x + 100, 4*q + 3*x = 45. What is the remainder when 38 is divided by 34 - q - (-2 - -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 - 0.19.\nAnswer: -0.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -29*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 38. Calculate the least common multiple of o and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 + 13*b**2. Let l(z) = 3*z**3 + 7*z**2. Calculate -4*g(u) + 7*l(u).\nAnswer: u**3 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2697761 by 6.\nAnswer: 2697761\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 4*i + 8 = 0. Suppose -4*m = -i*w + 56, -78 = -5*w + m + 2*m. What is the smallest common multiple of 22 and w?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 3)*(0*v - v + 2*v)*(-2*v + 0*v + 4*v + (-1 - 1 + 1)*(-v + 4*v - 2*v) + 0*v + v + v) to d*v + u*v**2 + k and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 25. Which is bigger: 10 or a?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 75 = 4*t + 31, -5*t = 2*z + 132. Let x = t + 31. Does 28 divide 121 + (2 + 18)\/x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5266752 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**0)**(-3)\/(i**6*i\/i**(-7)*i) assuming i is positive.\nAnswer: i**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g + o + 67 = 0, -4*g = 5*o - 113. Calculate the remainder when 125 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -t + 15, s - 4*s + 13 = -t. Suppose -22 = -4*a + 3*p, 2*a - 12 = -0*a + 2*p. Suppose 0 = 2*k - 6*k - a. Sort -6, k, s.\nAnswer: -6, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8402, 8403, 8404, 8405, 8406, 8407?\n\"Answer: y + 8401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 51446 = -8897. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569408509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-1 - sqrt(1539)) + sqrt(1539) + (sqrt(19) + (0 + sqrt(19))*3 - sqrt(19))**2 + (-2*2*(sqrt(19) + sqrt(19)*-1 + sqrt(19)))**2.\nAnswer: -9*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -1 + 4, -4*m = 3*o - 158. Suppose -n = -10*n + o. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*v**3 + 49*v**3 + 3*v - 31*v**3 in the form h*v**3 + u + r*v**2 + o*v and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 - -115.37. Let m = -5.8 + 7.17. Let w = m - g. Sort w, 6, -0.4, 5.\nAnswer: -0.4, w, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -578.\nAnswer: -5\/578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/65)\/8)\/3*(-10)\/5\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*f - 24, 6*f - 5*f = 4*u - 75. Let y(b) = b**2 + 3*b - 6. Let x be y(-5). Suppose -x*m = -49 - u. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0177 - -40.6177. Let v = y - 36.6. What is the second biggest value in 5, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37730 is divided by 18043.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 8*a + 3*a + 24 = 8*a, -4 = -4*a for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 763*n**2 + 5504*n + 1160. Give h(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -63, -127, -211, -315, -439?\n\"Answer: -10*c**2 - 34*c - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2826 a factor of 335549109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/5, 2\/5, -0.0315, 4, -8, 20?\nAnswer: -0.0315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 929? (a) 3 (b) -19\/5 (c) -21 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-130*g + 0*g**2 + 133*g + g**2)*(-6*g**3 + 3*g**3 + 4*g**3).\nAnswer: g**5 + 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 20, k + 2550 - 2579 = -w + 6*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -678681 divided by 174\nAnswer: -226227\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, -16, 15.873?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56614322, -113228641, -169842960, -226457279?\nAnswer: -283071598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17682, 35091, 52500?\n\"Answer: 17409*t + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/(-29*19\/(-2204)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let d = z - 0. What is the third smallest value in -5\/3, d, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121.3 + 846.3. Let k = 737 - f. Let l = -0.3 - -4.3. Put -1\/2, 2, k, l in descending order.\nAnswer: k, l, 2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/12 - f. Let m(h) = 135*h**2 - 10*h**2 - 50*h**2 - 10*h**2. Give z(m(t)).\nAnswer: -4225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -1\/20*s**5 - 3*s**2 + 3\/2*s**4 - 88 + 36*s - 143\/12*s**3. Factor o(b).\nAnswer: -(b - 12)**2*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 201674459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 222\/7. Let j = 1459.5 - 1459.9. Put j, h, 2.2 in descending order.\nAnswer: 2.2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 208*i + 13. What are the prime factors of z(-16)?\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1)*3\/(-7) + (68\/(-2) - 5).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 13*u - 332. Suppose u*a - 79*a - 32 = 0. What is the remainder when 9 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -71 times 25\nAnswer: -1775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326266 is divided by 108734?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2. Suppose 3*n - 5*u = -55, 2*n + 4 = -3*u - 1. Let r be (-72)\/n - 2\/10. Let p(x) = 7*x + 2*x**2 - r*x. Determine c(p(o)).\nAnswer: -12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:47 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 131*x + 63. Let d(o) = 285*o + 127. Give -6*d(r) + 13*n(r).\nAnswer: -7*r + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*p - 3*j, 3*p = -4246*j + 4250*j + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-80)\/3*(-6)\/1. Suppose v = -23*f + 413. Calculate the remainder when 14 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -4 + (-6)\/(-2). Let s = 9 - g. Calculate the greatest common factor of s and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {f: 2, k: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001124 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4570 is divided by 201?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**3*v**3 + 1982*u**3 + 6758*v**4 with respect to v.\nAnswer: -3*u**3*v**2 + 27032*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - n - 24 = 10, 14*n = 9*n + 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p - 44. Let j(l) = -3*l + 87. Let a(k) = 9*c(k) + 5*j(k). Let m be a(-3). Solve 0 = -m*f + 4 + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13838 + -4551. Solve -9278*h + 63 = -t*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 36 = 3*d, m = 3*d - 2*m + 39. Let c be (-4)\/d + (-10)\/6 + 1. Is -0.2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -9*z + 4*z. Let v be (-238)\/(-14) - ((0 - -2) + z). Suppose -19*f + 42 = -v*f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 63673862?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**1\/(d**(3\/14)*d))\/((d**2\/d)\/d*d)**26)**(-34))**(-33) assuming d is positive.\nAnswer: d**(-205887\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htvoohqthod. Give prob of sequence doh.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 10*i**2 + 8*i - 21. Let k be l(-11). Let b = k + -7. Suppose y + b = 11. Solve y*j + 16 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k + 1. Suppose -18 = -2*i + 16. Calculate the remainder when i is divided by d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*x + x - 645 = 0, 4*x + 12 = 0. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 - 2 = -3*g, 3*t - 7 = -2*g. Let v be (-1)\/1*(2 - (-2 + 9)). Let s = 10\/9 - 11\/18. Which is the nearest to s? (a) g (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 2)*(-3 + 0 + 2) - 1 - 1 - 2)*(-1 - 3*i**2 + 1).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 414 = -4*v, -3*i - 217 = 4*v + 185. Let s = -78 - v. What is the least common multiple of s and 66?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -47 + 23 + 37 - -27\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 + 17 = 5*h. Suppose 20*b - 43 - h = 0. Solve -r + 9 = b*d, d - 15 = -d + 3*r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*l**3 + 17*l**3 - 29*l**3 + l**2 - 21*l**3)*(-513 + 12*l + 513).\nAnswer: -768*l**4 + 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2100200 (base 3) to base 5.\nAnswer: -23334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96204 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: What is the second biggest value in 2\/1231, 1, -0.2, -1\/4, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**2 - 15614 + 15573 - r**2 + 5*r**2 + 2*r**2 as q*r**2 + v*r + a and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/((-1625)\/20))\/(10\/25). Which is the closest to -1? (a) v (b) -4 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665 = -25*h - 2*x, 340 = -134779*h + 134784*h - x for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -77425 * -5.\nAnswer: 387125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:00 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(72) + -1) + (sqrt(200) - (sqrt(200) + ((sqrt(200) + sqrt(200)*1)*-1)**2)).\nAnswer: -801 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 8792?\nAnswer: -8785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 15*f - 49. Let p(j) = 17*j - 42. Let h(m) = 6*d(m) - 7*p(m). Let v(w) = 2233*w. Calculate 232*h(b) + 3*v(b).\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16266399 is divided by 6875?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41.1 + 40. Let l = n - -0.9. Which is the closest to l? (a) 0.04 (b) -1 (c) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 10*r**2 + 8*r + 3. Let y be w(-4). Let m = -11 - -7. Let a be 0*2\/(2\/(m + y)). Solve a = 4*h + h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from bbyyrdudubuybfu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6000) - (sqrt(6000) + sqrt(6000) + sqrt(6000)*2 + sqrt(6000)) - sqrt(6000))\/sqrt(12) - (4*sqrt(30)*1)\/sqrt(6)) + 0.\nAnswer: -54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 10:39 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 240 (base 8) to base 6\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - o + 129 = -4*o, -95 = -2*k + 5*o. What is the greatest common divisor of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7554 + -4419. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 2*u**2 + 2*u + 6. What is n(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 3*h**6\/20 + 5*h**4\/12 - 35*h**2. What is the second derivative of g(f) wrt f?\nAnswer: 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t + 46*t + 17*t - 17*t - 12*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*p - 2208 - 6196 - 6073 = -713 for p.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91.3 + -91.198. Let n = -0.202 + w. Which is the third smallest value? (a) 0.1 (b) 41 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2749 + q**3 - 1402 - 68*q - 1382 - 35*q in the form g + r*q**2 + v*q + s*q**3 and give v.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -42. Suppose 4*b = -4*k + 36, 5*b - k = 2*k + 5. Suppose -2*s = -6 - b, 2*o = 4*s + 10. Solve u*p - p - o = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 11 = -5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*f**3\/2 - 1351*f**2\/4 - 1321*f\/4 - 6 = 0. Calculate f.\nAnswer: -24, -1, -1\/54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2940)\/6370 - 248\/26.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 10 = 5*k, -q - 1 = k. Let s(r) = -9*r**3 + 8*r**2 + 4*r + 13. Let z be s(q). Suppose 0 = 8*o - 5307 - z. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Solve -x - 16 = -4*q, q = -5*x + 5 - 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 16, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -5*q**2\/2 + 2*q + 4. Determine h(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 77 = -81 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3136 and 243600.\nAnswer: 6820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/4)*w)\/(w**(-7)*w)*(w\/(w\/(w*(w\/w**4)\/w*w)))\/(w\/(w*w*w**8)))\/(w**(2\/3)\/(w**2*w)*w**(-2\/7)\/w**(-2\/9)) assuming w is positive.\nAnswer: w**(4195\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.09 - -0.22. Let s = 0.53 - l. Let b = 2.4 - s. What is the biggest value in b, -2\/7, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5553872*j + 9981. Let s(p) = -1113*p - 2. Calculate -2*g(l) - 9981*s(l).\nAnswer: 1109*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 + 930*r**2 + 96*r**3 - 456*r**2 - 17*r**3 - 474*r**2 - r + 1 to the form j*r**4 + q + a*r**3 + c*r**2 + y*r and give a.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 3:02 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - -10.9. Let g = p - 12. Which is the nearest to 1? (a) 1\/3 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 - 9\/(-7)). What is the biggest value in -4, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3131 - 3368. Let g be 1\/(3\/1362) + -1. Let y = m + g. 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 f(t) be the second derivative of 7\/12*t**4 + 15*t + 0*t**3 + 0*t**2 + 0. Let g(c) = -c**2 + c**2 + 2*c**2. Give f(g(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 14\/(-10))*(-284400)\/(-36). What is f rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3504*h**2 + 20*h**3 - 22 - 83*h - 72*h + 30*h**3 + 7*h**4 - 3489*h**2 + 105*h**3 = 0.\nAnswer: -22, -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2915?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 519, 521, 523, 525, 527, 529?\n\"Answer: 2*h + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbddbbdd. What is prob of sequence bbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 7887 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4962 + -84356\/17. Let u = 469\/234 + -37\/18. Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -815 and 0.5?\nAnswer: -407.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/101 or -1?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 15 = 20*p. What is the smallest common multiple of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10357640591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3220431 + 3?\nAnswer: -3220428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 2*q + 101. What is r(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1139\/68 - 21 - -5)*(-108)\/1.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25571*l**3*w + 2446*l**3 + 2*l**2*w + 13*l**2 - 4*l*w + 1672*l + 41 wrt l.\nAnswer: -153426*w + 14676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.19, 7\/4, 3, 8\/7, 4\/7, -0.3, 0?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.16 and -0.9375.\nAnswer: -1.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 14*t + 15. Let a be q(6). Let h = 39 - a. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*(sqrt(117) + 0) - -5*(-2 + sqrt(117)) - ((sqrt(78) + -4*(sqrt(78) - (sqrt(78) - (sqrt(78) + sqrt(78)*1))))\/sqrt(6) + 5)))**2.\nAnswer: -3360*sqrt(13) + 41668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 31 - 4*s + 30)*(-s**4 + 5*s**3 - 5*s**3).\nAnswer: -2*s**5 + s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 2797?\nAnswer: 279.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3405 (base 6) to base 2.\nAnswer: -1100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qop when three letters picked without replacement from otqpop?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*t + 1356874, -511*b + 514*b + 4*t - 1017693 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 + 1. Let y be -2*(3\/(-1))\/3. Let x be o(y). Let n = x + -9. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32788 - 16311. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110 (base 2) to base 6.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, i: 10, b: 4}. What is prob of sequence bbxi?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/24)\/(2\/9). Let i be -4 + 6 + (-4)\/(-2). Suppose 37 = i*h - 5*c, 28 = h + 3*c - 8*c. What is the closest to -0.1 in h, -2\/5, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546645072.\nAnswer: 2, 3, 31, 367369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2. Let k(n) be the second derivative of -n**3\/3 - 27*n. Calculate k(m(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3387 + 3419. Solve -8 = 10*y + a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388736 is divided by 380?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 232 + -151. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 8*w**2 - 11*w - 3. Let t be n(-9). Let a be (-4)\/(-14) + 23\/(-7). Let k be 55\/t + (-1)\/a. Solve 28 = k*c + 4*j, -c - j + 12 = j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -208 + -61. Which is smaller: s or -272?\nAnswer: -272","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 76274278682.983.\nAnswer: 76274278683.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129309 is divided by 4971?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 446983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -113949 or -113981?\nAnswer: -113949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, b: 2}. What is prob of picking 2 b and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18138829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8342 is divided by 1813?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-60) - -2681*18\/10. Let z = 168939\/35 - q. Calculate the common denominator of -61\/10 and z.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 195, 501, 807, 1119, 1443, 1785, 2151?\n\"Answer: t**3 - 6*t**2 + 317*t - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -3837458, 12 in decreasing order.\nAnswer: 12, -1\/3, -3837458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + (sqrt(468) + sqrt(468) + sqrt(468)*-1 + -3 + sqrt(468) + sqrt(468) - sqrt(468)) + -1)**2 - ((-5*-1*sqrt(78))\/sqrt(6)*6)**2.\nAnswer: -7472 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 - 1223*i**2. Let m(k) = -3*k**2 + 130*k. Determine m(b(j)).\nAnswer: -3*j**4 - 130*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 19846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = -0 + 70. Let i(p) = p**3 - 10*p**2 + 7*p + 23. What is the tens digit of i(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*v = 6. Suppose -3*t - 18 = -4*q, -4 = -q - t - v. Solve -q*k + 5*y = -1, -3*k + 0*y + 4*y = 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 102, 89, 76, 63, 50?\n\"Answer: -13*x + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 18\/24 + 22842\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 70330007 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 + 3*h + h + 0*h - 2*h + 7*h**2 - 3*h in the form j*h**2 + q + v*h and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Suppose 15*y - 18*y + 66 = 0. Let t(w) be the first derivative of y*w**2 - 30*w**2 + 4 - 34. Give t(u(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1242577.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is b7b016 (base 12) in base 13?\nAnswer: 7a7783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**22*h**16*h*h*h*(h*h*h**8*h*h*h)\/h)**(-12) assuming h is positive.\nAnswer: h**(-1596\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6404 or -6403?\nAnswer: -6403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 115117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 218*i**2 - 5*i + 8. Let a = 7 - 15. Let x be m(a). What is x rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -0.005597270708?\nAnswer: -4.994402729292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/6 + (-178)\/42. Let n = t + 11\/7. Let 0 - n*v**3 + 1\/3*v**5 + 1\/3*v**2 + 0*v - 1\/3*v**4 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 19 = 4*t + q, -3*t + 4*q = -15. Let y = 4 - t. Let m(a) = a**3 - 3*a**2 - a + 5. Let p(o) = o**3 - 2*o**2 + 4. Give y*p(r) - 2*m(r).\nAnswer: r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -84 - -89 - (14 + -8 + 1 + 87)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 188546*l**2 + 188541*l**2 - 565695*l**2 + 188572*l**2.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (sqrt(363) + -1))*-2 + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:26 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3975 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (11437 - 1) + -7 + (-16 + 8)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*l**5 + 51*l**4 + 84*l**3 + 66*l**2 + 24*l + 3.\nAnswer: 3*(l + 1)**4*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 147*h + 359. What is y(-9)?\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(868\/(-147) + 6). Calculate the greatest common factor of u and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 15*d - 16. Let h = 907 - 895. Determine z(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 31983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 less than -10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1818*l - 125316 = -1663*l for l.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37 + 75*l**3 + 5*l**4 - 63*l - 29 - 12*l + 65*l**2 - 78.\nAnswer: 5*(l - 1)*(l + 1)**2*(l + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 2\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25.75 - -16. Let s = q + -0.25. Which is the second smallest value? (a) -1\/3 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*u**5 + 11*u**5 - u - 5*u wrt u?\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*r = 6*r + 24, 4*h - 40 = 4*r. Let x be h\/((-2)\/(-1)) - 0. Suppose 7*o + 17 = -m + 3*o, x*o + 27 = 4*m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 6. Let j be c(6). Let w = 3 - j. Let z(x) = -w*x**2 - 3*x - 2 + 3*x**2 - x**2. Determine z(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 18 + 6. Let i = -11867 + 142547\/12. Find the common denominator of i and (s\/5)\/(112\/(-340)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 2. Let v = -7 - -12. Let m be z(v). Find the second derivative of -6*b**4 - 156 + m*b + 156 wrt b.\nAnswer: -72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 106*z - 254 + 117. What is the closest to -0.1 in z, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 1. Let w be m(2). Suppose -w*h + 1782 = 8*h. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 16*d - 18. Let i be y(-8). Let g = 84 + i. Suppose 3*f + 3*v + 93 - 714 = 0, 0 = -g*f - 3*v + 416. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 12*n - 58. Suppose 0 = -4*r - 3*c - 8 + n, -5 = 5*c. Suppose -2*p + 4*p - 18 = -5*y, -5*y + 3*p = 2. Which is smaller: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/122, 0.1, 27 in descending order.\nAnswer: 27, 0.1, 1\/122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) -651 (b) 0 (c) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 282000 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:22 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 424 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/3))\/r**(-15\/2))\/(r**(-20))**(-19) assuming r is positive.\nAnswer: r**(-2225\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265 times 5103.4?\nAnswer: 1352.401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2553 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173672.\nAnswer: 2, 17, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 723725362 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = 2*n - 86, 6 = -2*n. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 4)*(1183 - 1364 - 1944)*(-2 + 0 + 0)*(-2 + 2 - s**2) to m + f*s + r*s**2 and give r.\nAnswer: -12750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -15\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7862?\nAnswer: 2, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 - 4*k**2 + 2*k**2)*(-5*k + k + k) + 0*k**3 + 0*k**3 + 2*k**3 as n*k**2 + f*k + z + c*k**3 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:16 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (4 - 8) + 1 - -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682.4676m to nanometers.\nAnswer: 682467600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:04 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1981, 3968, 5981, 8020?\nAnswer: 10085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5*i - 15 = 0, 0 = 4*b + 4*i - 0*i - 20. Suppose 37 = b*t - 27. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 36 (c) -0.2 (d) -123539\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/2, 156?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3254 - 0.4254. Which is the closest to 10? (a) 2\/5 (b) -177 (c) 0 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 517 * 65135.\nAnswer: 33674795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 15. Suppose 4*w - 31 = -3*b, 22 + 3 = w - k*b. Suppose -5*h = -4*z + 45, 4*z = -0*h + 3*h + 35. Solve -z*u + 0 = -w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77464334873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-40) + (1 - 1). Let z = 3\/10 + r. Suppose 15 = 4*w - 3*v + 4, w = 3*v + 14. What is the closest to w in -1\/3, 2\/7, z?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4546 - -1?\nAnswer: 4547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -56.2 * -0.5.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 96 - -2.073\nAnswer: 98.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - 168\/(70\/(-5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4*-19*(2\/6)\/(3945\/4734).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 33. Solve q + c - 6 = z, -c = -4*q + 2*c + 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 359 + -361.31. Let j = -0.02 - k. Round j to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1330 and 70322?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 12*o - 15. Let j(w) = w**2 + 19*w + 35. Let c be j(-16). What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/14633103 and -23\/150.\nAnswer: 731655150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*n = 6, 3*i - 5 + 6 = 4*n. Solve -3 = -i*z + 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313248 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + 5*i - 4. Let v be p(4). Suppose v = -3*s - l + 41, l - 3 = -s + 8. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -988633896 to the nearest ten thousand.\nAnswer: -988630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -15. Let w(f) = -f**2 - 14*f - 39. Let m be w(-6). What is the greatest common factor of v and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -2*i - 21, 5*m + 485 - 475 = 5*i for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 6*n + 1. Let w(h) = -16*h - 8. Let j be w(-2). Suppose -j = -13*x + 9*x. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l + 5. Let t(s) = -18 + 2*s + 21 + 7. Let q be t(-3). Determine b(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-81)\/(-144))\/((-10)\/(-8)))\/(36\/(-60))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 1 + 0*k**2 - k - 29*k**3 + 3*k**2 + 4*k + 27*k**3 to l*k**2 + x + b*k**3 + q*k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 383 minutes before 10:29 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is (-115)\/138 + 52775\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5985762347?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:25 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/5*(-6 + (-8)\/20*10 + -5)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -418*u - 17405. Calculate z(-34).\nAnswer: -3193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/470858 and 37\/3712?\nAnswer: 873912448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40114 (base 7) to base 4\nAnswer: 2113000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a. Let x(q) = 35850*q**2 - 53. What is x(w(b))?\nAnswer: 1756650*b**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4*v = -0*d - 70, v + 131 = 5*d. Let h be -2 - 5*(-7 + 6). What is the greatest common divisor of d and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2168 + -2171. Let i = -0.2 + 0. Let y = -0.1 - i. What is the nearest to y in 5, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -59.66 (b) -985 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnq when three letters picked without replacement from qnnqnnnnn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**3 + 6*r - 6*r)*(1367 + 1870 + 3158) to i + c*r**3 + a*r**2 + w*r and give c.\nAnswer: -19185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 266141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1543440.944 and 1573?\nAnswer: 1541867.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/160 + 25*l**4\/96 - l**3\/2 - 2444*l. Solve f(z) = 0 for z.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in 5, -3\/7, 13\/4, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -7\/3, -0.2, -53, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531*m - 17252 + 2015 = -1962 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2702122*f**2*w**5 - 1059*f**2*w - 3817*f - 3*w**3 - 5*w wrt w.\nAnswer: 54042440*f**2*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1015227 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/(-2))\/(18\/12))\/(-4).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4*l + 762*f**3*l + 117*f**2*l - 3*f**2 wrt f.\nAnswer: -48*f*l + 4572*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14*p + 75 = -13*p, -1 = m - 5*p. Let q = 93 + -9. Calculate the remainder when q is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 420331, 3, 0.4, 4\/5, 1 in descending order.\nAnswer: 420331, 3, 1, 4\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245640 divided by 248?\nAnswer: 9055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1194 + -382. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(13\/4)*k*k**2*k**(6\/11)*k\/k**10 assuming k is positive.\nAnswer: k**(-97\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78419 and 9.\nAnswer: 705771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 259.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 51 - 47. Let o be (3 + -3)*(9\/(-6) - d). Factor -3\/4*w**2 + 3\/2*w + o.\nAnswer: -3*w*(w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 849376 and 2972816?\nAnswer: 5945632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 14. Suppose -3*i = -11 - 4. Let f be w(i). Let c = 112 - f. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 7*d**3 - 7*d**2 - 9. Let k(z) = -9*z**3 + 8*z**2 + z + 10. Let q(m) = -4*c(m) - 3*k(m). Calculate q(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*t - 525 + 1281 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1585 - 1579. Which is the biggest value? (a) i (b) -5 (c) 0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 474630374 - 249030377. Suppose 0 = -c + 3 - 2, -7 = -3*j + 5*c. Let b be u\/12 - (-1)\/j. What is b rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*t\/(t*t*(t**(-5\/6)\/t)\/t*t*t))\/t)**(1\/8)\/((t*t**7)\/t**2) assuming t is positive.\nAnswer: t**(-277\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 15*m.\nAnswer: -3*m*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 5\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -9 + 29. Suppose u = 5*c + 21, -c = w*u - 53 - 0. Calculate the greatest common divisor of u and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 67\/81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*f**2 + 42 - 124*f + 60*f + 61*f wrt f.\nAnswer: 70*f - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1) + 0\/(-2). Let l be 1631\/55 - (d - 2). Let h = l + -151\/5. Calculate the common denominator of h and -81\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 1258*q + 12586. Determine i(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzssszzsz. What is prob of picking 1 s and 1 z?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 484*f - 77340. Determine c(155).\nAnswer: -2320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2513280 by -84.\nAnswer: -29920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 1. Let i(q) = -3*q - 2. Let x(w) = -6*i(w) + 15*t(w). Calculate the lowest common multiple of 21\/28*32*((-29)\/12 + 3) and x(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/4 - 103451*c**2 - 413807*c - 413808 = 0. What is c?\nAnswer: -2, 413808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*h + 5*h + 5*h)*(2*h - 3 + 3)*(-43 + 49 - 41) to y*h**2 + v + s*h and give y.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 535771563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -8.6. Let g = n + 8.8. Is -1 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -14. Let q = -87 + y. Let x = -11 + 12. Which is bigger: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -2 + 2 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8214 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 19*k - 15. Calculate the lowest common multiple of 5 and g(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26829.94 - 26830. Which is the fourth biggest value? (a) 15\/7 (b) 4 (c) -0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -21\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*(0 + sqrt(117) + sqrt(117)) + sqrt(117) - sqrt(117)*-2*-1))**2.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = k - 7, -47*g + 44*g + 28 = 4*k. Solve g = 3*l + f + 7, 5*f + 0*f - 9 = -4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 259*z = 260*z + 1, 2*z - 30 = -10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j + 4 = 0. Suppose k + j = 2*k. Suppose -m**4 - 2*m**2 + 4*m**k - 3*m**2 + 2*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 32. Suppose r*y - 6300 = 13*y. Suppose 3*a = -12*a + y. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 18553554.\nAnswer: 185535540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -325 divided by 12.\nAnswer: -325\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -23335300?\nAnswer: 23335253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a + 49. Let d be w(-9). Solve -d*u = -u - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:32 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 + 25 = 0. Let y be 167\/4 - 2\/(-8). Suppose s - y = -3*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Suppose 4*m = -5*h - 11, -t*h + h - 19 = 5*m. Is 4 - 2\/(-2 - m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4185\/31*-1)\/(-5 - 0).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 15*j - 10 = -17*j, b - 3*j + 15 = 0. What is the closest to -2\/27 in -2, b, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 239699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:41 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69385633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -167936, -167930, -167918, -167900, -167876?\n\"Answer: 3*v**2 - 3*v - 167936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1096.12 - -1046. Round r to the nearest integer.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)\/(1\/1). Let z = 1.1 - 0.8. What is the second biggest value in 2\/9, z, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 8*s + 4. Let d be (-24)\/(-20)*15\/2. Let i be (0 + (-12)\/10)\/(d\/60). Determine o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6501\/341 + 2\/(-31). Suppose f = 4*d - 77. What is the highest common factor of d and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3451 (base 6) to base 12.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 15*x**2 + 3*x + 2. Let p be o(-2). Suppose 5*d - 94 = p. Calculate the greatest common factor of 210 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 29079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and -2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2018922 is divided by 71.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a tonne in kilograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - 4) + 1)*-2819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7153*y + 7212*y + 1534 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*k + 98*k - 1291 - 1085 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 28. What is the smallest common multiple of 11 and 1\/(((-1)\/a)\/1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 10:39 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x - 1. Let w be d(2). Suppose 0 = -2*h + 4*h - 2. Suppose 5*k = -3*i + 839990, -3*k - h = w. What is i rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4*l**2 - 6*l + 1. Let p(t) = 10*t + 5 + 2*t - 5*t - 6 + 4*t**2. Suppose 0 = 2*s - 3*s - 6. Let b(i) = s*p(i) - 7*g(i). Give b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 7. Let c be o(-5). Let k be (2\/(-12))\/(c\/6). Put -0.2, k, 4\/9 in descending order.\nAnswer: 4\/9, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1192984 and -1192984 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 4 + -1)*-397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12314710 is divided by 6533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (784\/595 - 1) + 2\/(-10)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5786 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 76*y + 64. What is the hundreds digit of l(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 5*q - 13*q)*(q - 17 + 24 - 15).\nAnswer: -18*q**2 + 144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 + -23. Let y = j + 67.0000103. Round y to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -2.9\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - 2*s)*(3 - 5 - 3)*(0*s**2 - 2*s**3 + 0*s**2)*(5 - 5 - 3).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from ayza.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 9 = -3*x, 3*x - 14*l - 13*l + 9*l = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 1. Let z be n(-2). Let p = z + 10. Solve 0 = 2*a + 3*k, -3*k + 13 = p*a - 2*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238*5359.\nAnswer: -1275442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and 0.0754.\nAnswer: -3.8454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -11 + -2 - -6) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvgvvveegveegv. Give prob of sequence gege.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 36*j + 61. Is p(-43) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-8) + -2)*16\/(-36)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 10. Suppose -f - 5 = 2*i. Let o = i + 1. What is the biggest value in 3, 0.5, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 321*t - 25. Let b(u) = -321*u + 25. Let l(h) = -7*b(h) - 6*i(h). What is the units digit of l(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 299 + -4?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 - n**2 + 2. Let w be d(1). Which is the closest to -20? (a) w (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - g = -13, -4*r + 36 = -2*r + 4*g. Let m be r\/(-10) - (-236)\/220. What is the third smallest value in m, -5, -2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 1. Let q be 2 + 12\/5 + 117\/195. Let g(k) = -2*k**3 - 5. Determine q*a(l) - g(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -8*a - 20. Let g be z(-3). What is the second derivative of -11*k**5 - 9*k**5 - g*k - 25*k wrt k?\nAnswer: -400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) - (-9)\/(-3). Suppose 2*y - 11 = -1. Suppose y*t + 5*i + 30 = 0, t + 2 = i - 0*i. Put w, 1, t in decreasing order.\nAnswer: 1, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -43283.1.\nAnswer: -12984.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 49028.48 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {r: 3, l: 9, q: 1, k: 4, t: 1}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -37 in ascending order.\nAnswer: -37, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -r - 5 - 12, -2*z - 2*r = -16 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 7*p**2 - 3*p**2)*(9*p**2 - p**2 - 4*p**2).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6034311, -6034313, -6034315, -6034317, -6034319, -6034321?\n\"Answer: -2*t - 6034309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -22*x - 23742. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6367 - 6365. Solve 13 = -j*h + 3*m + 27, 19 = -h - 5*m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Let o = 3 - 6. Let w be (1\/m)\/(o\/2). Is 0 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24*9\/(-12)*-2. Let y be (((-4)\/(-6))\/(-2))\/((-6)\/z). Solve 0 = 2*x + 4, -3*a + 11 = -y*x + 1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 7*o**3 - 3*o + 4. Let v be (17\/1 - -3) + 1. Let t(f) = 36*f**3 - 15*f + 21. Let q(y) = v*a(y) - 4*t(y). Factor q(w).\nAnswer: 3*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317\/32703 or 0?\nAnswer: -317\/32703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3017, -5996, -8977, -11960, -14945, -17932?\nAnswer: -20921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/2*4\/6. Suppose g = 5*s + 26. Which is the nearest to 1\/4? (a) -5\/6 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5036 and 44.\nAnswer: 55396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 5:53 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19761518 by 6.\nAnswer: 9880759\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77389 < 77373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.0589, -11, -5, -4 in descending order.\nAnswer: 0.0589, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + 4*u**4 + 0*u**4 + (u**3 + 4*u**3 - 4*u**3)*(8*u - 2*u - 3*u) to m*u**2 + s*u**4 + j + g*u + i*u**3 and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t = 61 - 209. Sort 137, 4, t, 0, 5 in descending order.\nAnswer: 137, 5, 4, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.385 * -33.6\nAnswer: 80.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*q - 2*q - 2*q**3 + 4 + 1 + q**2 as x*q + r + h*q**3 + u*q**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 1263*o - 41*o**3 - 420*o - 426*o + 2*o**2 + 5*o**4 - 225*o**3 - 416*o as k*o + g + d*o**4 + r*o**3 + s*o**2 and give r.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/x**(3\/8)*x)\/x*x\/(x*x*x**(-1\/2)))\/(x**1)**(-4)*(x**1)**48*(x\/x**(-5)*x)\/(x*x**(-1\/5)) assuming x is positive.\nAnswer: x**(2373\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 558, -15, -2, 0.3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 + -17. Let o = 7154 + -7114. Calculate the remainder when o is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550424 to the power of 1\/2, to the nearest integer?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13062\/23 + 568. Let w be (-4)\/6*1\/2. What is the biggest value in w, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1934 and 10?\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 3*t + 0)*(-2 + 10 - 1).\nAnswer: 21*t + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 3 + -9 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 490?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, p: 4, y: 2, j: 1}. What is prob of picking 1 x and 1 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -449, -997, -1753, -2711?\nAnswer: -3865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 124, 188, 252?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(539) + sqrt(539)*-1)*4 + -4*-2*sqrt(539).\nAnswer: -3 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 174 + -164. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*(sqrt(252) + 2)*3)**2.\nAnswer: 21600*sqrt(7) + 230400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 2304.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/3, -123, -18313?\nAnswer: -18313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) 595\/12 (b) 10 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*v + 230491 = 32223. List the prime factors of v.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 26*q - 901. Let u be f(35). What is the highest common divisor of u and 366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*-1)\/((8541\/(-83512))\/(117\/(-24))).\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of 2*v**3\/3 + 3*v**2 + 6*v - 37. Calculate b(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -ab9543?\nAnswer: -ab953b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471*f + 63 = 474*f. Let n be 6 + 3*(-7)\/(f\/6). Solve 2 = -2*g + 2*y - 0, n = -2*g + 5*y - 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 978, 974, 976, 984, 998, 1018?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/u**(-36)))*u)\/(u*u**12)*u**(-35)*u*u*u**21)**(2\/17) assuming u is positive.\nAnswer: u**(26\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rqq when three letters picked without replacement from rqmcqcmqcmqccqmmm?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 15 = p - 0*p, -3*q - 35 = p. Let d(n) = -n - 16. Let l be d(q). Let y(w) = w + w**3 + 6*w**2 - 117 + w + 126. What is y(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*x**2 - 90*x + 183\/2.\nAnswer: -3*(x - 1)*(x + 61)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19783\/34 - 582. What is the common denominator of ((-27)\/(-36))\/((-18)\/(-140)) and r?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8250322*b**2*k + 103943*b*k + 10*k wrt b?\nAnswer: -16500644*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1665004*g**2 + 7*g - 3. Let s be y(1). What is s rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133843054 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122*n - 42*n - 9146528 = 48*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3340, -3251, -3114, -2929?\n\"Answer: 24*a**2 + 17*a - 3381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15635 - -11?\nAnswer: -15624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7622 and 9682.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54528 and 12840?\nAnswer: 29172480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 17*d - 41. Calculate m(33).\nAnswer: 487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -5 + 0 + -9. Let o be (z\/(-14))\/(1\/32). What is the highest common factor of o and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1083 divide 190565975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 < -3\/625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3*w + 30*m + 2708 = 0, 356 = w + 2467*m - 2471*m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ba - 2?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/6)*q*q**20*q assuming q is positive.\nAnswer: q**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 32. Let f be (1\/m)\/1*-3. Find c such that 1\/3*c**3 - f + 1\/3*c**2 - 1\/3*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20117841, 20117832, 20117823?\nAnswer: 20117814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -98 - 5*h**2 + 68 + 19*h - 2*h**3 + h**3 - 4*h**2. Let l be v(-11). Solve -3*o - l*q - 7 = -4, -2*q - 1 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 918655?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 4*y. Let t(u) be the first derivative of -3*u**2 - 2. Let o = -8 + 18. Suppose 2*f - 3*b - o = -0*f, 2*f = -b + 18. Calculate f*h(k) + 5*t(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - -0.26. Let d = -1.7 - -10.6. Let p = -3.9 + d. What is the closest to o in -3, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((2\/214)\/1). Suppose 5*h = -n + 3. Let t be h\/95 - 8\/76. What is the third smallest value in t, 0.4, -0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 17480.\nAnswer: 1\/2185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1279*s*v - 167470017*s + 54909*v wrt v.\nAnswer: 1279*s + 54909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y**2 - 3*y**2 + y**2 - 5*y**2 - y**2 + (-3*y**2 - y + y)*(27 + 44 - 29).\nAnswer: -133*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*h\/((h*h\/(h\/h**(-4)))\/h)*h*h\/((h*h\/(h*h*h**2))\/h)*h**5)**(-12\/7) assuming h is positive.\nAnswer: h**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 6, -3*b - 3 = 33*r - 36*r for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1\/8)\/n)\/(n*n*n**(13\/4)\/n*n*n))\/(n*(n*n\/(n\/(n\/n**(3\/2)*n))*n)\/n)**(-10) assuming n is positive.\nAnswer: n**(149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of t**6\/10 + 453*t**5\/20 - 77*t**4\/2 - 152*t**3 - 2*t + 2061. Factor z(d).\nAnswer: 3*d*(d - 2)*(d + 1)*(d + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, c: 1}. What is prob of sequence tt?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 682 is divided by 69.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(-47) assuming b is positive.\nAnswer: b**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -973, -968, -963, -958, -953?\nAnswer: -948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 0*z. Let y be (2\/5)\/(z\/20). Determine c, given that 2\/5*c + 12\/5*c**3 + 8\/5*c**y + 8\/5*c**4 + 2\/5*c**5 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*l**2 + 711*l**2 - 1194*l**2.\nAnswer: -1277*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*i**3 + 3*i**3 - 3*i**4 - i**2 + 2*i - 4*i + 5*i**4 in the form t*i**2 + o*i**4 + z + u*i**3 + f*i and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0245607 + -0.02413. Round t to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/10*18\/36. Let o = 145 - 145.2. Put -2, 1\/9, o, j in ascending order.\nAnswer: -2, j, o, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.3 * 13482\nAnswer: -17526.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 3*l + 10. Let n be c(-4). Find the second derivative of -n*r - 26*r**5 - 865*r**4 + 865*r**4 wrt r.\nAnswer: -520*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3 - 12790245*j**2 + 47047007*j wrt j?\nAnswer: -12*j - 25580490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6676, 13285, 19898, 26515, 33136?\n\"Answer: 2*w**2 + 6603*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 443341021 (base 6) to base 15\nAnswer: a82647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27475 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0\/(-5))*(-98 - -93)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2391?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3\/2 + 1355*c**2\/2 - 8285*c\/2 + 6925\/2.\nAnswer: 5*(c - 5)*(c - 1)*(c + 277)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751 = 4*q + 4*z - 9*z, 5*q + 4*z = 949. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 52*h + 53.\nAnswer: -(h - 1)*(h + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + i - 19 + 19 + 2*i**2 as s*i + g + h*i**2 + j*i**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*-1*(-42)\/(49\/(-7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*1*(-10)\/15*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, i: 1, b: 4, f: 3, d: 6, v: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 154332915643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**3 - 4 + 5*u**3 + 4.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 386408*i + 183736.\nAnswer: 386408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -435*o - 1218 - 87 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118*m**5 - 3*m**4 - 14*m.\nAnswer: 2360*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 5:31 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 550*s**3 + 2215*s**2 - 6630*s.\nAnswer: 5*s*(s - 2)*(110*s + 663)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -4*l**3 + 1168*l**2 - 10220*l + 9056 = 0.\nAnswer: 1, 8, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164 or -4?\nAnswer: -164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -11, -1, 9, 19?\n\"Answer: 10*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -61, 0 in decreasing order.\nAnswer: 0, -12, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11245 and -9.43?\nAnswer: 106040.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*f + 22, -b - 2*f - 2*f = 16. Let x(d) = -1 - 4 + 3 + 3 - d. What is x(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 30 = 2*t, 3*t + 5*h - 2*h - 27 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.012 times -30.3\nAnswer: 0.3636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (40\/24)\/((-1)\/(-3)). Suppose -81 = -o*g - 21. What are the prime factors of 63\/g*(3 + 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 212 - 204. Let c be (-1469)\/(-117) - f\/(-18). Solve c = 7*z - 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 - 43 = 8*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let i be 4 - ((-6)\/n)\/3. What is the nearest to 0 in i, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.3338122 rounded to the nearest integer?\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Let p(n) = n**3 - 2*n**3 - 1 + g - 2*n - 3 + 4*n**2. Give p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**2\/d)\/d)**(3\/20)\/(d*d**(-1\/19)\/d*d**19) assuming d is positive.\nAnswer: d**(-360\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017958 to seven dps.\nAnswer: 0.0001796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/3))**14)**(-45) assuming g is positive.\nAnswer: g**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/59))\/(v\/(v\/(v\/(v**(-18)\/v*v)))*v))\/(v*v\/v**(-1\/5)*v**(-2\/3)))**(-18\/11) assuming v is positive.\nAnswer: v**(108852\/3245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -12, 9, 1.\nAnswer: -12, -4, -3, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34975 * -2.\nAnswer: 69950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in -0.16, -1, -59, 4, 15\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 3 (c) -3 (d) -0.5 (e) 5 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*(-4 + 5*((sqrt(1008) - (sqrt(1008) + (sqrt(1008) - (-3 + sqrt(1008)*-5)) + sqrt(1008))) + sqrt(1008) - (-4 + 4 + sqrt(1008)))))**2.\nAnswer: 15120*sqrt(7) + 1235124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = k - 5*t, 4*k + 208 = -t - t. What is k rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*((-3*r - 12*r + r)*(0*r + 0*r + r) + (3*r - r + 0*r)*(-1 + 1 + r)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -j - 0*d + 30, 0 = j + 7*d - 27. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86162478.\nAnswer: 2, 3, 14360413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 15*k - 6*k to g + n*k and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49347a (base 11) to base 7.\nAnswer: 6430422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-24)*k*k\/(k**(-7)*k))\/(k**(-23)\/((k*k*k**(-4\/5)*k*k)\/k*k)) assuming k is positive.\nAnswer: k**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 3*i + 6. Let p be k(-6). Let z = p - -39. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2168873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + -3 - (5 - 16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(20)\/(sqrt(36)\/(sqrt(9)*5)).\nAnswer: 4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 (base 5) in base 6?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1418125540?\nAnswer: 2, 5, 13, 5454329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 11983.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 110 + -138. Let g = 27.81 + q. Is -2 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 20*c + 96. Let f be j(8). Solve -g = 2*d + 13, f = 3*d - 4*g - 1 - 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 640046349*r + 1280092686.\nAnswer: 3*(r - 213348781)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 18*r**2 + 12*r - 42. Give n(-19).\nAnswer: -631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 5*g + 2*g)*(3*g + 0*g - 4*g) + (g + 0*g - 2*g)*(55 + 787915*g - 1060 - 787922*g) as r*g**2 + v + w*g and give w.\nAnswer: 1005","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + ((2*sqrt(132) + sqrt(132))\/sqrt(11))\/sqrt(4) + -2)**2*2.\nAnswer: -344 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1. Let b(k) = k - 2. What is b(l) - 4*y(l)?\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -91*w + 26. Let o(p) = -18*p + 5. Let r(n) = 26*o(n) - 5*y(n). Let h(b) = 3*b**2. Give h(r(u)).\nAnswer: 507*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*4)**2*-6 + (sqrt(136)\/sqrt(512) - sqrt(17)).\nAnswer: -1632 - 7*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -37*y**2 + 7*y. Let m(v) be the third derivative of v**5\/15 + 141*v**2. Give s(m(c)).\nAnswer: -592*c**4 + 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 7*n - 11*n - 3130143, 0 = -3*x - 2*n + 3130143. Let f = x - 304381. What is f rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 69*f**2 - 5*f - 4. Let k be n(3). Suppose -5*d = 2*v + 256, 5*v + 0*d + 3*d = -k. Let l = v - -701\/6. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/5*(-2 - -6). Which is the closest to 3? (a) 0.1 (b) 0.5 (c) g (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15556 to two dps.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*m - 22*m + 2*m)*(2 - 4 + 6)*(3 + 2 - 1).\nAnswer: -832*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9240 and 2926.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/14)\/((-50)\/(-35)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1275124019?\nAnswer: 13, 98086463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -6*r**3 + r**2 - 3*r - 3. Let o(m) = -18*m**3 + 2*m**2 - 10*m - 10. Calculate 6*o(u) - 20*v(u).\nAnswer: 12*u**3 - 8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -1, 11906, -8 in descending order.\nAnswer: 11906, 11, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -919 divided by 5368\nAnswer: -919\/5368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - u - 1. Let f be 2*6\/(-12) - -5. Let a(n) = -3*n**2 - 8*n - 10. Let p(d) = f*s(d) - a(d). Give p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -19*o**4\/12 + 19*o**3\/3 + 1671*o**2\/2 + 425*o + 4. What is the first derivative of j(c) wrt c?\nAnswer: -38*c + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 3.52 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 6*t + 7. Let s be a(5). Suppose 6 + s = -4*b. What is the tens digit of -5*(b + 1)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c3299 (base 13) to base 5.\nAnswer: 42143122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149305764 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 4:33 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**2 - 111*r - 113. What is l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2560) - (sqrt(2560)*-1*1 + sqrt(2560)))\/((sqrt(200)\/sqrt(90) + sqrt(20))*-4))**2.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(15\/2)*(-297)\/(-66). Solve -3 - 6 = w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66\/36*((-1534)\/572)\/(-59)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*p = 170*p + 423*p + 913*p - 77577 for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, e: 5, z: 8}. Give prob of sequence hhzh.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 820*v**2 - 56529*v - 3519.\nAnswer: (v - 69)*(820*v + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10) + (-3 - 150\/(-39)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -4*m + 32, -5*g - 3*m - 6 = 5. Let n be 10*(-1)\/(-10)*g. Is n <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/9)*x*x**(2\/15))\/(x**0\/x**(-13)) assuming x is positive.\nAnswer: x**(-544\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-1))\/(9\/12). Suppose 0*z + 26 = -5*i - w*z, 5*i = -2*z - 28. Let n = 11 - i. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -0.3 (c) -1\/6 (d) 10 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, i: 4, f: 4, a: 1, y: 4}. Give prob of picking 1 a, 1 i, and 2 f.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 8:40 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgfgfghfgfwghwffohff. Give prob of picking 2 g, 1 w, and 1 o.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*r + 2, -2*k + k + 3*r = 0. Let n be (k\/(-4))\/(-1 - (-20)\/8). Let l(u) = 4*u - 4*u**2 - 5*u + 14*u**2. Determine l(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -187 by 2.\nAnswer: -187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2107 - -2029. Which is smaller: w or -75?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*g + 4*a, -3*a = -g + 3 + 4. Suppose g*b = 3*b. What is the third derivative of -38*t**5 - t**2 + 40*t**5 + b*t**2 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 39771415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34240 + 232?\nAnswer: -34003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 8*g**4 - 76*g**3 - 1016*g**2 - 236*g + 2856 = 0.\nAnswer: -7, -2, 3\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 7*j**2 + 5*j + 15. Let o be l(8). Let s be o\/(-3) + 7 + -9. What are the prime factors of (s - 237\/15)\/((-14)\/140)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 5 + 3)*(-2 + 6 - 3) + 5 + 4 - 3)*(-17*k**3 + 136*k - 136*k) to the form j + l*k**2 + v*k**3 + w*k and give v.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*j = 43666, 5944 = -3*w + 4*j + 27792. What is the highest common factor of 204 and w?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -76*z - 917. Calculate d(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-88)\/12)\/(160\/9666). Let x = -2187\/5 - u. Find the common denominator of x and -87\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 134 = 4*c, 4*c = 16. What is the remainder when t is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 82601439 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-19 - 3) + 0\/2. Let l(q) = q + 4. Let c be l(0). Factor 0 + 1\/2*y**5 + 0*y**2 + r*y + 0*y**c - y**3.\nAnswer: y*(y - 1)**2*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 5940 - 5940.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 11 = 2*x, -4*q + 5 = 4*x + 37. Put 5, 1, -5, -8, x in decreasing order.\nAnswer: 5, 1, x, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 39 = -5*t - 51, -g + 2*t = 12. Let k(p) = -86*p - 71. Let j be k(g). Suppose 10*c - j = 1555. What are the prime factors of c?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/40722 and -53\/4774.\nAnswer: 8836674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -221*j - 21. Calculate w(-2).\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376626066 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/14)\/(0 - 1). Let z = 2607 - 2611. Let w be (10\/14)\/((-18)\/21). What is the nearest to 1 in z, b, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14184877 and 3976.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - -5*(-4)\/(-15). Determine l so that 8\/3*l + 0 + 2*l**3 + j*l**2 - 4\/3*l**4 - 2\/3*l**5 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1350135 and -32\/2117.\nAnswer: 39153915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15351\/(-602)*-2*(-3)\/(-18)*-8?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7764.694 decades to millennia.\nAnswer: 77.64694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 8 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 713.649 centuries?\nAnswer: 7136.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/6)\/(12\/18). Let w be 1*(2 + (-3)\/(i - 2)). Let j(m) = -m**3 - 3*m**2 - 4*m - 2. Let s be j(-2). Solve 25 = w*z + 5*q, -3*z + z - s = -2*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12226*f**6 + 12235*f**6 + 50*f**2 + f**3 - f**3 + 518*f**2 wrt f.\nAnswer: 1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1058 + -463. Suppose -7*z + a = 126. Let c = 79 - z. What is the greatest common factor of 48 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7.19 less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-18) + (-33)\/27. Let b = a + 1. Suppose b*s = -4*s + 24. What is the remainder when 9 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 72 (b) -5 (c) -1777 (d) 5 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 622 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 1521706?\nAnswer: 1521703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, j: 3, x: 2, g: 1, s: 6}. What is prob of sequence sjj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1277 by 13.\nAnswer: 1277\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 5. Let w(h) = -4*h + 11. Let m be (2 - 0)*2 + -1. Suppose 3*j - 3 = 4*x, -3*x - m = -2*x. Let u(f) = j*w(f) + 7*k(f). Calculate u(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 766*d**5 + 108*d**2?\nAnswer: 45960*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g + 62*g + 19920 = 0. Let w = g + -1081. Suppose 5*u + 43 = y, y - 3*u - 29 = -5*u. What is the remainder when w is divided by y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i - 10. Let f be t(5). Let g = f - -2. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 4*j**5 + 15*j**4\/4 - 5*j**3\/3 - 4. Factor v(r).\nAnswer: 5*r**2*(r + 1)*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -3. Suppose i + 30 = -c + 5*i, m*c = 5*i - 51. What is c rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7 = 5*w, 2068*w - 2067*w = -4*q - 28 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/99 - (-385)\/121?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p. Let d be t(1). Let h be (d\/(-4))\/(2\/(-4)). Suppose 0 = -h*b - 0 + 2. Solve 5*s + 19 = -3*v, s = -b - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -117. Let z = -4 + 37\/9. What is the third smallest value in f, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from rrhurhrvhrrr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l**2 - 2*l - 517. List the prime factors of a(26).\nAnswer: 3, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9, 20, 37, 60, 89, 124, 165?\n\"Answer: 3*y**2 + 2*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/2 - 1157*v**3\/2 + 15239*v**2\/6 + 11315*v\/6 + 325 = 0. Calculate v.\nAnswer: -390, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + s - 2 = 0, 0 = i - 23*s + 20*s - 1. Suppose -52 = 4*q - 20. Let a be i + -3 + (-32)\/q. Solve 2*p = 3*d - a, -2*p - 8 = 2*d - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5213523121 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 6, -34, -5 in ascending order.\nAnswer: -34, -5, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 1 = -4*c, -2*b + 5*c - 2*c = -2. Suppose d + 6 = 10. Sort b, -3, d in decreasing order.\nAnswer: d, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2530 + 0.5.\nAnswer: -2529.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 - 28.5. Which is the third smallest value? (a) 2 (b) 0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -1)*(-2)\/8. Let y = 97\/3 + -32. Let v = -4.94 - 0.06. Which is the biggest value? (a) y (b) v (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -15*i + 2. Let n be s(2). Let k be n\/(-8) - 9\/6. Suppose b + k*z + 179 = 2*b, 5*z = 25. Calculate the highest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(128) + sqrt(128)) + 3 + sqrt(1100)\/sqrt(4) + sqrt(539)*1.\nAnswer: 3 + 95*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) -4\/3 (c) -14 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 593767*u - 819547.\nAnswer: 593767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.2 - 0.2. Let l = 2 - r. Which is the third biggest value? (a) -1\/11 (b) 0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 26, 0.122, -10, 4?\nAnswer: 0.122","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 979 + -237?\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)\/((sqrt(108)\/sqrt(6))\/sqrt(6)))\/((sqrt(216)*-3)\/sqrt(12)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17123623 (base 8) to base 13.\nAnswer: a9240a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*sqrt(117)*1)\/(sqrt(9) - ((sqrt(144)*2 - sqrt(144)) + sqrt(144))).\nAnswer: -20*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 5:36 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, 17, 2 in decreasing order.\nAnswer: 17, 3, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -40*j**3 - 2*j**2 + 22*j + 151. What is the hundreds digit of n(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 15 = -t. Calculate the remainder when 164 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1955*l + 84*l + 227*l - 10*l + 548*l in the form k*l + b and give k.\nAnswer: 2804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1063813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqzueqqqzqoeqqoqqq. What is prob of picking 1 q, 2 o, and 1 u?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448187 is divided by 224059?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 4\/6 + (-6)\/9. Suppose 52 = -u*h + 28. Let z(l) = l**2 + 9*l - 5. Give z(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - -34?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 16. Let c be (j - -16) + (-3 - 1). What is the greatest common factor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2545*g**3 - 33993575*g**2 - 33862540*g + 133580 = 0. What is g?\nAnswer: -1, 2\/509, 13358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*s = 7, -121 = -5*r - 5*s + 14. Suppose 4*f - 144 = y, 3*y = 5*f + 4*y - 189. Let l = f - r. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 15. Let r be n(-4). Let g = r + 10. Let k be -4 - (4 - 21)*g. Is 0 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c - 2cd7?\nAnswer: -2d05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94882 - -54912. What is a rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 10*b**2 - 9*b - 8. Let k = -587 + 603. What is the lowest common multiple of a(7) and k?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s - s - 36 = 33 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(7084\/138)\/77?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**10)\/(k\/((k**(-2)\/k)\/k)) assuming k is positive.\nAnswer: k**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 560*f**4*m + 15*f**2*m - 123*f**2 + 148924673*m wrt f?\nAnswer: 2240*f**3*m + 30*f*m - 246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(9)\/(sqrt(12)*-2 + sqrt(12))*-3 - sqrt(36)\/(sqrt(192) - (sqrt(192) + sqrt(192)*1))*5*1.\nAnswer: -25*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 1\/60*q**5 + 0*q**3 + 0 - 6*q**2 + 0*q**4 + 0*q. Let g(n) = -2*n**2. What is o(g(u))?\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**3\/3 - 52*q**2 - 192*q - 560\/3 = 0.\nAnswer: -35, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 + -284\/5. Which is the closest to z? (a) -3 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 + 101 = -11*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a - 44. Let n be c(-14). Let w(g) = 25*g - 15. Let y(t) = 100*t - 60. Let r(b) = n*y(b) + 9*w(b). What is the derivative of r(h) wrt h?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -16. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 11295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1\/(2 - 3). Let r be j\/3 - (-885)\/9. Suppose 0*y - r = -5*u - 3*y, y = -5*u + 96. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6250 divided by 21.\nAnswer: 6250\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -20\/31 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0 (c) 13 (d) -15\/184 (e) 15\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/36 + 14*49\/616?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -74. Suppose -16*m = -x*m - 66. Suppose 4*c - 18 = -5*r + 6*c, -4*c - m = -3*r. Solve -4*l = -5*b + 20, -5*b + r*l + 10 = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15293 and -813.\nAnswer: -12433209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1069.27829 to the nearest ten.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.99 + -0.79. Let c = f - 0.224. What is c rounded to 3 dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198\/(-51) + -1 + (-45)\/(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 7*r + 7. Let d be b(-8). Let x = 5 + d. Suppose 2*h + 175 = w + x*w, -173 = -4*w - 5*h. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 6688*y - 2795584 = 0.\nAnswer: -836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 11) in base 6?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 9:28 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102786902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9209.349 rounded to the nearest one hundred?\nAnswer: -9200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 2*s + 5. Let o(t) = -8*t**2 + 5*t + 14. Calculate -4*o(b) + 11*u(b).\nAnswer: -b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.0069.\nAnswer: -0.00207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5270*l**3 - 271*l**2 + 10*l - 15. Let h(q) = 2634*q**3 - 136*q**2 + 6*q - 9. Let o(c) = 3*f(c) - 5*h(c). What is the third derivative of o(p) wrt p?\nAnswer: 15840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -318*s**2 - 158045*s + 453. Determine k(-497).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237927249 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a kilometer in meters?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 12*a - 446. Let r = 80 - a. Calculate the lowest common multiple of 16 and r.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-8)*5968\/1865.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 - 282*b + 1176 = 0.\nAnswer: -98, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**2 - 3*a - 31. Let k(t) = t + 5. Determine 4*k(n) + z(n).\nAnswer: 9*n**2 + n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6) - 2\/(-6))\/1. Let a be (-5200)\/(45\/150*v\/600). What is a rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7147390 rounded to the nearest one hundred thousand?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/42*(-2)\/((-12)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2 + 3. Let f(a) = 5*a + 1. Let x be f(y). Suppose 6*v - 326 = -74. Calculate the greatest common factor of v and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**2 + 111*d*v**3 + 461*v**3 wrt d.\nAnswer: 4*d + 111*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 315*u**3 + 11965*u**2 + 63285*u + 90675.\nAnswer: 5*(u + 3)**2*(63*u + 2015)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 306813.2 centuries in months?\nAnswer: 368175840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6583596, -13167191, -19750786, -26334381, -32917976?\n\"Answer: -6583595*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -24 + -4 - -4*9\/12. Let c(x) = 0*x**2 - 4*x**2 - 3*x - 3 + 2*x**2. Let p(d) = 15*d**2 + 25*d + 25. What is m*c(u) - 3*p(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.57 + 0.57. What is the closest to k in -1\/7, -0.3, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.496005l to millilitres.\nAnswer: 6496.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -791*s - 90421. Give i(-113).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 193*r - 99210*r**2 + 94794*r**2 - 5*r - 2*r**4 - 188*r**3 + 4418.\nAnswer: -2*(r - 1)*(r + 1)*(r + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-1\/3)\/l)*l\/l**(-2)*(l**1)**(-14)*(l**0)**(3\/8)\/(l**(-1\/2)*l*l\/(l**(-1\/6)*l)*l) assuming l is positive.\nAnswer: l**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/3 + 130579*w**2\/3 + 261161*w\/3 + 43527 = 0. Calculate w.\nAnswer: -1, 130581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6 = z, 4*q - 3*z - 8 - 13 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (783\/(-36))\/((-3)\/(-8)). Let s = 21 - b. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 a, and 2 j when four letters picked without replacement from rrarrnjnhhajannjq.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a - 2. Calculate u(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 8. Let h = -3 + l. Solve h = -0*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-42)\/(-35))\/((-342)\/(-30)). Put q, -0.4, -11\/3, 0.3, -3 in increasing order.\nAnswer: -11\/3, -3, -0.4, q, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32935138 is divided by 75.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**5 - 1712*w**4 + 369774*w**3 - 1456920*w**2 + 1088856*w = 0.\nAnswer: 0, 1, 3, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 657928 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173*k**3 + 59*k**3 + 294*k**3 - 33*k + 34*k to the form r*k**3 + b + f*k**2 + z*k and give r.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - u = -2*p + 896, -u = 3*p - 187. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3895 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 48, -518, -2056, -5052, -9992, -17362, -27648, -41336?\n\"Answer: -81*w**3 + w + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137588335813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -31. Let k = 28.04 + v. Which is the closest to k? (a) -3\/4 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a hour in minutes?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 - -47. Suppose y - 7 = -f, -o*y + 2*f - 8 = -2*y. Find the third derivative of 18*c**3 - 11*c**y + 26*c**2 - c**3 wrt c.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 20 - 4 = 0, 4*k = -4*q - 5344. Let l = k - -3289. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 170 + 72?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(495)*-1 - sqrt(495))\/(sqrt(9) + ((sqrt(81) - (1*sqrt(81) + sqrt(81))) + sqrt(81))\/sqrt(9)))\/((sqrt(99)*-1)\/sqrt(9) + sqrt(11)*1*-1).\nAnswer: 5*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*g, -7*g = f - 5*g + 4. Let c(t) = 2*t**3 - 21*t**2 + 25*t**f - 9 - 10 - 3*t**3 - 17*t**2 - 2*t. What is c(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300747 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28912094?\nAnswer: 2, 14456047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(200) - (sqrt(200)*1*4 - sqrt(200) - sqrt(200)))*6 + (1 + sqrt(200) + -1)*-6)**2*4.\nAnswer: -4800*sqrt(2) + 115300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 a when two letters picked without replacement from {u: 1, a: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26144 and 13072?\nAnswer: 26144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88968683 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31682.9999969427 - -31683. What is x rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13608 - -54389\/4. What is the common denominator of -103\/798 and p?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -29. Suppose 2*u - 3*u = -r. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3.8. Let n = 3 - o. Let h = -10291 + 10291.1. What is the third smallest value in h, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -34*s + 4. Let c(n) = 59*n - 66*n + 228 + 230 - 457. Calculate -14*c(v) + 3*f(v).\nAnswer: -4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29782 divided by -2.\nAnswer: -14891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**5\/60 + k**4\/18 + 89*k**3\/18 - 15*k**2 - 334*k + 4. Find o, given that p(o) = 0.\nAnswer: -9, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 9*n + 7. Let l be h(4). Suppose 5*i - 175 = -l*t, -5*t + 43 = -2*i + 113. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5955149000 to the nearest one million.\nAnswer: -5955000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26784504 divided by -636.\nAnswer: 42114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9826.614 grams to nanograms.\nAnswer: 9826614000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 12 = 2*a, 0*x = 2*x - 2*a. Suppose 2*m + 90 = 5*s, 19 = 3*m + 4. Suppose -t + s = x*t - 2*y, 4*t + 2*y = 16. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2268293 and -2268257 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-nine halves of a decade?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25362220*j**2 + j + 3790328?\nAnswer: -50724440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -9 + h + 20 + 0*h - 12 - 4. What is m(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/30)\/(4\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 1 - (11 - 18 - (-8 + -8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*f - 37 - 32 = 0, -3*f = 5*l - 109. Which is the nearest to 4? (a) 1\/3 (b) 4 (c) l (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/41 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**4\/12 - 41*y + 3. Let t(g) = 52*g**2 - 5*g. Calculate t(u(w)).\nAnswer: 52*w**4 + 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 4*d = 21, 3*f - d + 291 = 275 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-96)\/24)*-4*1\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5679d (base 16) to base 10\nAnswer: 354205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 - 109. Find the second derivative of -7664*o + 7663*o - z*o**4 - 31 - 3*o**5 + 84 wrt o.\nAnswer: -60*o**3 - 204*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a second in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = n - g, -266 = -5*n - g + 2*g. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76839 + -22025. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-3 + 3 + 0 + 2). Let o be m*(4 + -1)\/(-3). Solve o*k = -k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*h - h**4 + h**3 - h**3 - 5*h**4 wrt h?\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - w**3 - 2 + 7*w + 5*w**2 - 5*w**2 - w**2 in the form q + v*w**2 + l*w**3 + b*w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1140, 4543, 10220, 18177, 28420, 40955, 55788, 72925?\nAnswer: 92372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 2045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28.6 (b) -2\/7 (c) 0.058666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 - 1. Let j be t(3). Let f = -28 - j. Factor f*x - 1\/3 - 1\/3*x**4 + 2\/3*x**2 + 0*x**3.\nAnswer: -(x - 1)**2*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -88 - -62. Let o = 23 + u. Which is smaller: 2\/27 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1162819?\nAnswer: -6\/1162819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -285*h - 11935. Calculate p(-42).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - h. Suppose -5*j + j - 164 = h. Let p = j - -71. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 18*m**2 + 2479*m - 13588. Calculate w(-143).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884524471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 18. Let p be (-2 - -26)*x\/12. Calculate the highest common factor of p and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15036, 358, -7 in descending order.\nAnswer: 15036, 358, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1543*c**4\/12 - 275*c**2 - 94*c - 2. What is the first derivative of b(v) wrt v?\nAnswer: 3086*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**4\/24 - i**3\/6 + i**2\/2 - 4. Let q(k) be the second derivative of c(k). What is q(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3*-3)\/((-6)\/(-20)). Let h = 24 + s. Let d be 0 - 0 - (-9 + h). Solve 5 = 5*c - d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 31 = -i, -5*i + 2 = -3. Solve -k = 2*k + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 7*x**2 + 11*x - 107. Give c(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 97.315303.\nAnswer: 95.315303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742327 is divided by 409.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4336787\/(-759) + (-2)\/(-3). Let w = v - -12321\/23. Let l = w - -5181. What is the common denominator of l and -43\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.55022 and -0.3.\nAnswer: 3.465066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q - 8. Suppose -2*v + 5*s = -300, -v - q*s = -0*v - 150. Is 25 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, -0.03, 0.2, -0.5, 4, 5964?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + -2)*-1*-25. Suppose u = 2*k - 3. Let i = 252\/37 - 3549\/407. Calculate the common denominator of k and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.08264 - 69.82. Round s to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194054224 at least as big as 194054224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31174718 to three decimal places.\nAnswer: 0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 2*f**2 - f. Let n be d(-1). What is the second derivative of -3*b**n + 0*b - 2*b + b wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2*j - 93, 3 = 2*j + 9. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 22*h + 50. What is c(13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8157319 and 1025.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 120?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + 47*m + 630. Calculate d(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k*k*k**(-2\/9)*k*k))*k*k**(-10))\/(k**1*k\/(k*k\/(k\/(k*k**(-3))))) assuming k is positive.\nAnswer: k**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (41\/(-35))\/(24\/(-18)) and -29\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 - (9 - 5))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12ba - -516?\nAnswer: 17d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0151 * 0.012.\nAnswer: 0.0001812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16951774 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5*g = -155, 4*a - 71 = -5*g + 53. Suppose f - 2*f = a. Let u = f - -34. Solve 0 = -4*j + u*y + 9, -j + 0 = -5*y - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4243 is divided by 37?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 14, 15, 16, 17, 18?\n\"Answer: x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 96955 (base 11) to base 14\nAnswer: 394c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84 - 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -11011100?\nAnswer: -11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -459.927 from 809.576.\nAnswer: 1269.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600*q = -606*q + 120. What is the remainder when q is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-2 - 3) + 5 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 155896.5495103?\nAnswer: -155893.5495103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/(-126)*-9*6\/(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-42)*-3 + 102\/(-357). Let h be 10\/(-36) - (-1)\/2. Solve g + 0*o**2 - 2\/9*o + h*o**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -4. Let m = 2 - x. Suppose -7 = m*u - 31. Calculate the greatest common factor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-9)*(-5)\/(20\/42). Let j = l + 36. Suppose 3*p - 3164 = -4*h, -p = 4*h - j*h + 3180. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 43 - 58 = 0, -4*h + 374 = -2*f. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 + 6230226*x + 6230229 = 0.\nAnswer: -1, 2076743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -58*t**2 - 71372896*t\/3 - 4101890\/3 = 0.\nAnswer: -410189, -5\/87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s + 3\/2*s**4 - s**3 + 4 - 3\/5*s**5 + 0*s**2. Determine f, given that i(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - (10 + -7 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -51*k + 25. What is u(-3)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/10315832 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115 - 6*d + 2236 + 2*d - 1121.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -4. Let b(v) = v**2 - v - 1. List the prime factors of b(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(20)\/sqrt(4) - -2*sqrt(320))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 43. Suppose 129*p + 30 = 126*p. List the prime factors of t(p).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**4 + j**2 - j**2)*(0*j - 5*j + 4*j) + 0*j**5 - j**5 - j**5 - 5*j**5 + 4*j**5 + 2*j**5 + (0 + 1 + 1)*(-j**5 + j**5 - j**5).\nAnswer: -4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 55. Suppose 5*r - 6*h = -2*h + 34, 4*r + 3*h - 21 = p. What is the third derivative of -4*x**2 - 9*x**6 + 19*x**6 - r*x**2 wrt x?\nAnswer: 1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/4*3336\/(-36) + -3. Let b = -83 - a. List the prime factors of b.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9151?\nAnswer: 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-884)\/(-663)*(-11)\/4*(-10)\/(-2)*-6?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.12 + 0.2. Let g = d - -0.32. Let j = 3 - 1. Which is the nearest to -1? (a) j (b) 1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, v: 1, m: 2, d: 2, c: 1}. Give prob of picking 1 m and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1121.5 + -1122. Which is the fourth biggest value? (a) 1\/4 (b) k (c) -0.05 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 8. What are the prime factors of l(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + z**4 + 1 + 11*z - 12*z - 4*z**2 + 0*z**2 to y + d*z**3 + l*z**4 + v*z + m*z**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 35. Which is the fourth smallest value? (a) 5\/4 (b) -4 (c) u (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11208*k**3 - 173*k**2 + 7*k + 2 wrt k?\nAnswer: 67248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1572, 1\/4, 0, -1\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f - 256064 = -95*f. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Sort w, 1, 4 in increasing order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25588963.\nAnswer: 113, 226451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*(-7)\/(-21). Which is the smallest value? (a) s (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/i**(2\/13))\/i*i**21)**(-20))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjjejeeejjjeeeeejj. What is prob of picking 4 e?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1)*20\/(-40). Which is the biggest value? (a) -0.2 (b) 4 (c) -0.1 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 2. Let y be u(-5). Let s = 4 + y. Are -1\/8 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 8:16 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x + 25*x + 25*x + 26*x - 92*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18b9 - -a1?\nAnswer: 198a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + 12\/8. Suppose 0 = 4*t - 3*r + 12, -3*t + p*t - 5*r = 26. Let w be 90\/42 + (0 - 2). Which is the nearest to t? (a) 2\/5 (b) w (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32303.\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269.93 + -270. What is the closest to -2\/3 in -0.5, 0.3, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484672 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 8. Suppose -2*c = 3*y + 10, 0 = -4*y + c - 6*c - 11. Let d = l - y. Put -5, d, -1 in descending order.\nAnswer: -1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59390900 to the nearest one million.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-5)\/(6 + -1). Does 2 divide (0 - -6) + (-1 + 0 - a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5 = 5*q, -2*q = 2*n + 2*q - 4. Solve -3*v + 4*i - 2*i - 14 = n, 2*i + 2 = -5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 7 = -4*t. Let r be (0\/4)\/(t*2). Suppose 4*n + n - 4*j = 67, r = 3*n - 3*j - 39. Solve 0 = -v - 4*s - n + 4, 5*s = -4*v - 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 2:19 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 5, b: 3}. What is prob of picking 1 e and 1 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18*7*4\/(-6). Let u(q) = -q**3 - q + 4. What is the remainder when ((-2)\/6)\/(4\/f) is divided by u(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 26, -0.5, -2, -3\/8 in increasing order.\nAnswer: -2, -0.5, -3\/8, -0.07, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.9. Let s be ((-2)\/3)\/(14\/3). Which is the third biggest value? (a) 1 (b) s (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + t)*(3*t**2 - 6*t + 6*t)*(-6 + 38*t + 2 + 2).\nAnswer: -114*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 21229952.89 to the nearest 100000.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 7. Let x = 44 - p. Let j = x + 7. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 + -307. Let h(l) be the third derivative of 1\/210*l**5 - q*l**2 + 0 - 1\/21*l**3 + 0*l + 0*l**4. Factor h(o).\nAnswer: 2*(o - 1)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 4) + 4 - -1. Suppose 0 = 4*x + 5*w - 44, l*x - w = -3*x + 33. Let s = -21 - -29. What is the smallest common multiple of x and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h + 4. Let c be y(-8). Suppose -3*x - 5*a = 10, 3*a + 10 = 3*x - c*x. Suppose 0 = -u + 2, -5*p + 48 = x*u - 152. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -g - 5*y + 15, -4*g + 67 = 5*y. Let d = g + -15. Solve -x - 2*u = -13, -d*x - u + 19 = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + (1 - -2). Suppose 4*a - 55 = x*z, -3*a + 2*z + 1 + 40 = 0. Calculate the greatest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124 - -33. Let y be w\/(-21) - 2\/(-3). Suppose y*k - 6 - 4 = 0. Solve k*l = -l - 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from {k: 4, r: 1, n: 1, o: 4, l: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1560 - 1556. Let n(y) be the third derivative of 10*y**2 + 0*y**3 + 1\/54*y**m + 0*y + 0 + 1\/270*y**5. Find j such that n(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.8418577 microseconds?\nAnswer: 0.00000000006761409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01622 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a460 + -4?\nAnswer: 4a458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10409 + 39485 = 5*l, 5*l - 5*y - 49950 = 0. What is the thousands digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 + -52. Suppose n + 71 = -3*z. Let d = z + 89. Solve 5*x - d = 3*o, -2*x + 5*x + 13 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4486919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeepeepeeeeeeeepep. Give prob of sequence eepe.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*y, 4*u + u - 4*y = 23. Suppose -2*z + 148 = 2*q + u*z, -3*q + 4*z + 245 = 0. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h, h = 4*y - 79 + 23. What is u in 10 - y + 8 - 15*u + 11*u**2 = 0?\nAnswer: 4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 28.641\nAnswer: 11.4564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2304333 and 544.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 152189539 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2243?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 10*f - 5. What is g(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1957443, 1957440, 1957437?\n\"Answer: -3*k + 1957446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 21. Calculate the remainder when 41 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91064, 91302, 91540, 91778, 92016?\n\"Answer: 238*v + 90826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 x when three letters picked without replacement from {c: 1, w: 3, x: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*i**3*o**4 + i**3*o**3 - 3*i**3*o**2 - 86*i**3 + 53*i*o**3 wrt o.\nAnswer: 192*i**3*o + 6*i**3 + 318*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 793\/11, 1\/3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8ca + -16?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -223*f - 1920. Let z be a(-10). What is the highest common divisor of z and 527?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177921?\nAnswer: 3, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9583012*h**5 + 793542*h wrt h?\nAnswer: 191660240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/7 - 66*d\/7 - 968.\nAnswer: 2*(d - 77)*(d + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 149 - 84. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919893269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -3, -1, -688\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 9. Suppose n = t + t - 464. Differentiate -9 + t*m**3 - 3 - 229*m**3 wrt m.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -78 + 385. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*x + 9. Let j be (x - -7)*(-1)\/(-2). Suppose -9 = -3*c, 4*u - 4*c - 2 = j*u. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 7. Let i be a(6). Let y(v) be the first derivative of v**3\/3 + v**2\/2 - 1. Let m(q) = 18*q**2 + 9*q. Let o(p) = -m(p) + 9*y(p). Give o(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s**2 - 18*s + 11. Calculate b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 60. Let z be ((-102)\/(-8))\/((-585)\/o). Let g = -235\/26 - z. Calculate the common denominator of g and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + 1 - (sqrt(3) - (2 + 0 + sqrt(3))).\nAnswer: 3 + 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/10)\/((-4)\/(-60)). What are the prime factors of (-5)\/1*g\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -26.4. Let f = d - -16. Let t = -17 + 22. Which is the biggest value? (a) f (b) t (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -275.32845874.\nAnswer: -272.32845874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4260073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -581, -491, 107 in descending order.\nAnswer: 107, -491, -581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*p - 7, q + 2*p + 4 = 0. Calculate the remainder when (-434)\/(-7) + q\/2 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 3*r - r)*(843*r**3 + 219*r**3 + 284*r**3) + (-r + 2 - 2)*(-5*r**3 + 2*r**3 + 2*r**3) as y + i*r**2 + g*r + l*r**4 + k*r**3 and give l.\nAnswer: 2693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-1\/61))**(10\/9)\/((w**1)**40)**(-39) assuming w is positive.\nAnswer: w**(856450\/549)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1572948.159 rounded to the nearest 10000?\nAnswer: 1570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2839590 + 1?\nAnswer: -283958a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.049882 * -0.05.\nAnswer: 0.0024941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 11*j + 1. Suppose 9 - 57 = -6*z. Calculate i(z).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 9*q**2 - 8*q + 17. Let x be f(7). Suppose -64*a + 15 = -x*a. Sort 0, a, 5, 1 in increasing order.\nAnswer: 0, 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14185222?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67143940.\nAnswer: 2, 5, 73, 45989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -68*t**5 + 31050*t**4 - 233866*t**3 + 577612*t**2 - 492216*t + 50288 = 0.\nAnswer: 2\/17, 2, 7\/2, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2 (b) -0.4 (c) 25 (d) 4830\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 18*v**2 + 12 - 20 to a + f*v**2 + o*v and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44166 + -0.44090846. What is p rounded to five dps?\nAnswer: 0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8317*x + 4407*x + 82110 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -52, -96, -180, -316?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 545 = -u, r - 111 = 2*u + 20. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16*w = 13*w + 45387994, -2*w - 45388004 = -4*t. What is t rounded to the nearest one hundred thousand?\nAnswer: 11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15246? (a) 3 (b) 2\/7 (c) -0.1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104\/5 + -937\/40. What is the common denominator of d and (-266)\/(-48) - 2\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifiiiiitiitfyf. What is prob of picking 2 t and 1 y?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(60\/(-2)))\/(-2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 + -0.32. Let w = 0.1 + c. Is 2\/15 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 2)**2 + 2 + -1 + sqrt(1331).\nAnswer: 16 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 969444 and 16128?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -731 and 0.130906.\nAnswer: -95.692286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7))**21*t\/t**(-3)*t\/(((((((t\/t**1)\/t)\/t)\/t)\/t*t)\/t)\/t) assuming t is positive.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3935692 is divided by 225.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10715, 21412, 32109, 42806, 53503?\nAnswer: 64200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -331, -648, -963, -1276, -1587, -1896?\n\"Answer: o**2 - 320*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 26 = 5*a, -2*a + 84 = 5*v. Let z be v\/64 - 19\/(-4). Solve 0 = -z*h + b - 9 - 6, 4*h - b + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + 419*a**2 - 216*a + 1465. Determine t(209).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 155880?\nAnswer: 779400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1785 + -1024. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 - -37. Let k(b) = -2*b - 19. Let p be k(m). Let h(y) = y**3 + 2*y**2 - 6*y - 5. Let f be h(p). Solve 0*t = -f*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1158.\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/(-4))\/((-3)\/12). Suppose -5*w + 20 = 0, -h*f + 2*f + 3*w = -108. What is the least common multiple of f and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 53595920 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v)*(0 - 5 - 5)*(-58 + 25 + 15 + 19).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000111 - -111000?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109711.\nAnswer: 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (46\/((-28)\/30*(-850)\/595))\/((-114)\/(-152))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110001 - -10010?\nAnswer: -11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27716 divided by 2132?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (66\/(-30) - -1)\/(4515\/450 + -10)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.312 - 0.012. Sort -2, h, 0.5, 5 in decreasing order.\nAnswer: 5, 0.5, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, m: 3, r: 7, l: 4}. What is prob of picking 1 o, 1 m, and 1 r?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000496503 to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 140*o**4 - 3264*o**3 + 932*o**2 + 1824*o + 368 = 0.\nAnswer: -2\/5, -2\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -12. Let u = 40.2 + -47. Let l = u + x. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 q when four letters picked without replacement from {n: 2, x: 1, q: 3, z: 2, e: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 - 2*a**2 + 3*a + 0 + 6 - 16 + 8. Calculate q(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 3*w + 153 = 127, 8 = -4*w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 46040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Let u be v\/4 - 3\/(-2). Let p(o) = 3*o - 1. Let j be p(1). Solve -u*m - j = -10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 50*b**2 - 126*b + 252. Let c be j(2). What is the greatest common divisor of 2120 and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, -131, -351, -659, -1055, -1539, -2111?\nAnswer: -2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 567561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*q - 214*q + 426*q = -4*b - 116, 3*b - 4*q = -207 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-1) - 741\/273)*14. Let f(g) = -2*g**2 + 5*g - 14. Give f(h).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*i + 83*i + 8 = 0. Let l(h) = 3*h - 1. Let n be l(1). Is (n\/i)\/((-2)\/(-712)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 117*u - 110*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7913\/702 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/12 - (114\/36)\/(-19). Let u(d) = d**3 + 10*d**2 + 8*d - 12. Let g be u(z). What is the second biggest value in -1, g, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 + -114. What is the first derivative of -11 + 42*o - 4*o - f wrt o?\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 172 + 46 = 0. What is the second derivative of 72*l**2 - w + 568*l + 564*l - 1126*l wrt l?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 68947004 and 68947004 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 25*c - 4. Let q be f(12). Let k be ((-1)\/(-2))\/(q + (-948)\/120). Solve -k*s + s - 16 = -h, -5*h + 32 = -4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -263 or 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*q - 13*q = 0. Is q greater than or equal to -3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + f - 3*f, 0 = 3*w + 2*f - 2. Suppose 3*d + a - 57 = w*a, -17 = -d + 2*a. Suppose t + t = 22. What is the remainder when d is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737300468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23)\/((1 + 1)*(-31)\/62). Suppose -4*h + 16 = -0*h. Suppose -h*a - 7 = -23. Solve -5*m + 2*g + b = 0, a*m - 2*g = -3*g + 8 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*o - 16 = 0, 4*w + 821 - 849 = -4*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 1.97. Which is the nearest to -2\/3? (a) -4 (b) s (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21481867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i**3 + 183*i**3 + 1 + 97*i**3.\nAnswer: 324*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/398 and 151\/6.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114436 and 2989.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166433911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 464636.844 + 3.7\nAnswer: 464640.544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 49*i**2 + 136*i + 1031. Determine h(52).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2*(1 - -2). Find x, given that 2 - h*x**3 + 6*x**2 + 7*x**3 + 8*x + 4*x**2 = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o. Let r(m) = m**2 - 1978*m. Give s(r(a)).\nAnswer: -3*a**2 + 5934*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7125257 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 0 - -3)\/((-3)\/(-41)). Let p = o + -37. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4039*f**2*s*y + f**2*t*y - f*s - 4092*f*t*y - 2*s*t*y + 2*s*y + 2*t*y - t wrt s.\nAnswer: -4039*f**2*y - f - 2*t*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*a**2*b**3 + 2*a**2*b**2 - 9*a*b**3 - 5*a*b wrt a.\nAnswer: 74*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6301140 (base 7) to base 9\nAnswer: 1373036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*i + 65. Let o be 75\/i + 95\/(-20) + 4. Solve p + 7 = -o*t, -4*t + 2 - 6 = -4*p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.96 in 3, 0.1, 4, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 327 + -231. Let h = 482\/5 - j. Let l = 29\/2 - 15. What is the closest to l in 0.1, -3, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*((-2)\/(-4))\/(33\/(-22)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(612) + -3*sqrt(272).\nAnswer: -6*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 808\/606*(-57)\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 5)*(2*t**2 + 6*t**2 + t**2) + 8*t - t**2 - 8*t.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/60 + 7*w**2. Let s = 1 - -1. Let v(r) = 0*r - s*r + 8*r - 5*r. Determine n(v(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-80)\/30)*(-84)\/315\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13781, -27561, -41341, -55121, -68901?\n\"Answer: -13780*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:44 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**5 + 1580*m**4 + 312036*m**3 - 11048*m**2 - 2174870*m + 1872300 = 0.\nAnswer: -395, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 10161279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 57 = 77 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6264 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6) - 3\/(-18)*-3544. Let v = b + 1237. What are the prime factors of v?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let w = 0.2 + 5.8. Are w and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167294105 to the power of 1\/2, to the nearest integer?\nAnswer: 12934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32374.4 take away 134?\nAnswer: 32240.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -5, 9, 35?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2099\/2 or 1051?\nAnswer: 1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 423117\/10 at least 42311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92502 - -92529. Calculate the remainder when 2*(249\/6 + 2) is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/3)\/((69\/(-456021))\/(1 + 0))?\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -1.89?\nAnswer: 0.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6241634, 6241638, 6241644, 6241652?\n\"Answer: i**2 + i + 6241632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 57 - 38. Suppose -n = 4*k - 135. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15770.4+-0.5\nAnswer: 15769.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -31 + 11 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 4 - 21 - 8 - i.\nAnswer: -3*i - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 27*u + 1 - 34*u to g*u + j and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8357 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4197709 and 157.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((4 - (-104)\/(-24)) + 0)\/(42\/12222)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*h = -1 - 3, 0 = 5*g - 3*h + 75. Let q = g - -17. Suppose q*t = -28 + 63. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2 - 14*d. Let t(f) = -207290*f. What is j(t(m))?\nAnswer: -85938288200*m**2 + 2902060*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 6 + 2 = -2*x, -3*x - 13 = i. Solve o - 2*o = -i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5ccb512 + 7?\nAnswer: -5ccb508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 920571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31232 and 1129075840.\nAnswer: 7808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g + 5377*g**3 - 19*g - 11*g.\nAnswer: 5377*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)\/(b\/(b\/(b**(-1\/12)*b)*b*b)))\/(b**2\/b**(2\/3))*(b*b\/b**0)**(-40)\/((b**5*b)\/b**(-6)) assuming b is positive.\nAnswer: b**(-1091\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 13. Let k be q(-5). Suppose 0 = k*t - 0. Suppose 8*i - 2*i - 2130 = t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4 + 606*r**3 + 1198*r**2 - 1806*r = 0.\nAnswer: -301, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9214, -18412, -27612, -36814, -46018, -55224?\nAnswer: -64432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119262*h - 452*h**2 - 119262*h.\nAnswer: -452*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**2 - 3. Determine w(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**2 - 5*o**2 + 4*o**2 + (-3*o + 7*o - 2*o)*(33*o - 40 + 40) + o**2 + o - o.\nAnswer: 68*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/4 + 4*j**3\/3 + j**2\/2 - j + 2. Let b(f) = 78*f - 81. Let d be b(1). Give o(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109093 and 7493.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 5, -131, 31 in descending order.\nAnswer: 31, 5, 1, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-24))\/((-2)\/12). Suppose -3*z - 1 = -3*i - k, -4*i + 3*z - 1 = 0. Calculate the least common multiple of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.34 - 3.44. Let k = 3 + j. Let v(l) = l**3 - 32*l**2 + 2*l - 64. Let q be v(32). Put k, 1\/4, q in descending order.\nAnswer: 1\/4, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1641*t + 1626*t + 120 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p + l = -4, 5*l + 20 = 5*p. Let n be (1 + p)*(-4)\/8. Which is bigger: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -271288, -271289, -271290, -271291?\n\"Answer: -l - 271287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*s + 9*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 887977?\nAnswer: 61, 14557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -228, 3, 7.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 275349770 to the power of 1\/2, to the nearest integer?\nAnswer: 16594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -182773, -182862, -182965, -183088, -183237, -183418?\n\"Answer: -l**3 - l**2 - 79*l - 182692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71240?\nAnswer: 2, 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100100011001001010 (base 2) to base 16\nAnswer: 2464a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2. Let k(c) be the third derivative of 127*c**4\/24 + 506*c**2. Give k(p(d)).\nAnswer: 508*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b - 1. Let w(m) = -m - 14. Let v be w(-10). Give d(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -7*y**3\/6 - y**2\/2 + 2*y. Let v be m(-1). What is the highest common divisor of v and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -370*p + 366*p + 28 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 2*g**2 - 7*g + 195401. Is x(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4769870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-8))\/(2\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180985 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: List the prime factors of 1173136326.\nAnswer: 2, 3, 7607, 25703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v - 3*v)*(0*v**3 - v**3 + 0*v**3) - 2*v**4 + 3*v**4 + 2*v**4 + 0*v**4 - v**4 + 5*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.2, 496239?\nAnswer: 496239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 779\/57 + 23 - 2\/15*5?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4302067006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4025?\nAnswer: -4025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 743060761 to the power of 1\/2, to the nearest integer?\nAnswer: 27259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21973.7 + 20907. Round x to the nearest ten.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 24*c + 3. Let a(k) = -6*k**2 - 120*k + 15. Let r(v) = -2*a(v) + 10*x(v). Let p(b) = -7*b - 15. Determine r(p(q)).\nAnswer: 98*q**2 + 420*q + 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -47*o + 1. Let d(p) = -2*p - 1. Determine -2*d(z) - r(z).\nAnswer: 51*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*n*y**3 + 55*n*y**2 - 9971*n*y - 687957*y**4 - 2*y**2 + y - 1 wrt y.\nAnswer: -114*n - 16510968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6627.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 20 = 0, -2*r - 10*o = -6*o - 26. Suppose -2*d + 2*k = -18, -5*d + r*k + 30 = k. Let h = 23 + -13. Calculate the remainder when h is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555.153 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 m when three letters picked without replacement from gkmrkmggjmjmmkkgr.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 51401?\nAnswer: -51364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -136284 - 5?\nAnswer: -136289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((5*sqrt(30))\/sqrt(10) - sqrt(3)) + -4 + sqrt(3) + -1 + 4).\nAnswer: -25*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10*(-21)\/420)\/((-588)\/(-84))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**7\/7 - 26*i**3\/3 - 2. Find the third derivative of z(c) wrt c.\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 409652, 1638552, 3686716, 6554144?\n\"Answer: 409632*b**2 + 4*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00189463338 rounded to 6 dps?\nAnswer: 0.001895","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 40 = -4*y. What are the prime factors of (-4)\/6*(-195)\/y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.05 - 6.0499993758. What is v rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103068026 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*q = -87*q + 12. Let v be 3 - (-3 + q + 3). Suppose 0 = -v*o - 2798 + 17869. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 404 and 229371.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h - 75*h**2 + 66*h**2 + 3*h. Let v(s) = -17*s**2 - 19*s. Let w(k) = -11*j(k) + 6*v(k). Factor w(d).\nAnswer: -3*d*(d + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + -120a?\nAnswer: -1229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.4 - -0.166.\nAnswer: 9.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 122 + 101?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 257 = 719*q - 4057 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 + -77. Calculate the smallest common multiple of 38 and n.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 13*x + 14. Let v be t(12). Suppose 25 = v*p + 3*p. Let s(j) = j + 5. Determine s(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4*-7 + (-4)\/(-16). Suppose -3*k + 2*k + i = 0. Suppose 0 = -3*b + 3*o + 42, o + 4*o + 7 = -k*b. Solve -2*r = 1 - b for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c - 20*c + 3*a + 374 = 0, 3*a + 70 = -c. Suppose 2 - 3 = -2*z + 5*n, 0 = 4*n + 4. Find the common denominator of c\/(-30) - z*12\/8 and -97\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -133 + 1461\/11. Which is the fourth biggest value? (a) -4 (b) 4 (c) v (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 0*y**2 + 2 + 0*y**4 + y + 2\/5*y**5 + 0*y**3. Differentiate u(d) with respect to d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 97*b - 23750 = 73850. What is the least common multiple of b and 720?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709343205.\nAnswer: 5, 37, 9239693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 13. Let w be r(10). Let k(v) = w*v - 11*v + 3 - 8. Is k(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -128\/3*s**4 - 96*s**3 - 64\/3*s - 20\/3*s**5 + 0 - 256\/3*s**2.\nAnswer: -4*s*(s + 2)**3*(5*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 2*x - 28, -4*q + 3*x = 28. Let m(d) = d**2 + 11*d + 23. Let l be m(q). Which is the closest to 0.2? (a) l (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1604 + 377 - 277)*(2*g**2 + 2*g**2 - 2*g**2) in the form p*g + m + o*g**2 and give o.\nAnswer: -3008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 185 (b) 2\/9 (c) -2\/3 (d) -0.062\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-4\/5))\/a)\/a)\/a**(2\/9))\/(a**(-5))**(11\/8) assuming a is positive.\nAnswer: a**(2323\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 1312*y + 92*y**4 - 80*y**3 - 240 + 1838*y**2 + 201*y**3 + 605*y**3 - 28*y**5 + 6*y**3 - 3706*y**2 = 0. What is y?\nAnswer: -5, 2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2387 - 2382. What is the nearest to -5 in p, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 713110 - 713108. Factor 12\/7*y - 4\/7*y**q + 40\/7.\nAnswer: -4*(y - 5)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2\/4 - 105*x\/2 + 222 = 0. Calculate x.\nAnswer: -74, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9739233 + 80416.76?\nAnswer: -9658816.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4) - -3)\/(384\/14848)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 19451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -77. Is w + 0*(-2)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2) + 2 + -2. Suppose r = -o - 7. Let j be o\/((-1)\/(1\/2)). Solve j*x + 4 = 8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -9, -48*i - 15 = -4*o - 53*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23*(-30)\/2415)\/((-16)\/(-14))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 5*a. Suppose i = 6*i + 4*x - 116, -4*i - 2*x + 94 = a. Calculate the highest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16864538 - -16864404.999935. Let x = k + 133. What is x rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11.85 and -135.\nAnswer: 1599.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = -6*t + 2*t, -5*t = 5*s + 20. Let d be (-2 - (6 - 4)) + t. Let y = -8.3 + 8. Which is the nearest to 1\/2? (a) d (b) -0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4263, 4272, 4285, 4302, 4323, 4348?\nAnswer: 4377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*u - 13*u - 61. Which is bigger: u or 56?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470329 (base 13) in base 15?\nAnswer: 889935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348886*v**4 + 119*v**3 + 7795*v**2 - 153*v + 3 wrt v.\nAnswer: 8373264*v + 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7351, 3, 0, -1, -14 in decreasing order.\nAnswer: 3, 1, 0, -1, -14, -7351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4, -4*s - 4 = -93*y + 91*y - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 51*u + 83 + 556 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 22*t - 66. Let q be s(3). Let o = -23 + 33. Let k be (-15)\/o - (-70)\/4. Solve j = 3*p - k, -5*p + 2*j + 0*j + 28 = q for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 5*g + 27*g**2 - 4*g + 0*g - 9*g + 16*g.\nAnswer: 27*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**3*y**5 - l**3*y + 2*l**2*y + 2965*l*y**5 + 160*l*y**2 wrt y.\nAnswer: -60*l**3*y**2 + 177900*l*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l - 7. Let h be o(-5). Let s(p) = 0*p**3 + p + p**2 + p**3 + p**3 - h*p**3 - 1. Suppose -a = -m + 5 - 6, -5*m + 1 = -3*a. Determine s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/(2\/78). Let v = -43 + u. Let o = -17 - v. Solve 5*a - 15 = 3*y - o*y, a - 3 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -12, -4*u = -24*h + 19*h - 36 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -0.4 (c) 1\/11 (d) -2.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38853161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6 - 11 - 9*o + 0. Is 7 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3753745 to the nearest integer?\nAnswer: 1937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/7 - (-41 + 9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1072\/7236*(-9)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-15) - 63\/(-15). Let h(s) be the second derivative of -3*s - 1\/4*s**3 + 0 - 9\/8*s**2 - 1\/48*s**u. Let h(q) = 0. Calculate q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*z**3 + 2 - 2 + 93*z**3 - 220*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7 - 53 - 10*c - 10 + 12. Let o be j(-5). Solve -o*l = -5*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825488967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 4332*b**2 + 120120*b + 838096.\nAnswer: 2*(b + 14)**2*(b + 2138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1822*q + 12456. Give x(-7).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -6\/11 (c) 0.07 (d) 3\/5 (e) 389 (f) -4 (g) -2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 620880881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 13*a**3 - 1. Let j(v) = -12*v - 2. Let c be j(2). Let n = c - -47. What is the remainder when n is divided by u(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*k + k + 2, -5*k = 5*n. Let t(b) be the first derivative of -2\/9*b**3 + 0*b + 0*b**2 + n. Factor t(m).\nAnswer: -2*m**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1269949505340 and -160.\nAnswer: 1269949505180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -6, -6*s - 2*h - 342 = -10*s. Is 62 a factor of (1029\/(-63))\/((-2)\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/1033, -1\/4, -40?\nAnswer: -2\/1033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8 - -32d0?\nAnswer: 3227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00101049123 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 342, 684, 1026?\n\"Answer: 342*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 48972.\nAnswer: -5\/24486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -1\/12*t**5 + 0*t - 1\/24*t**4 + 0 - t**2 + 0*t**3. Let f be m(-1). What is the third biggest value in 0.5, 3\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 4*c**2 + 5*c**2)*(11*c**3 - 9*c**3 + 2*c**3).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 131948119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110101001101111 (base 2) in base 11?\nAnswer: -63789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 87 = -3*r, 3*r = 2 + 1. Find the second derivative of 3*s + 21*s**2 - 2*s**4 - j*s**2 wrt s.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 69*b + 42. What is the units digit of r(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.14 - 2413939421.87\nAnswer: -2413939423.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56 - -60. Sort -3, 1, y in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -45*t + 36. Let l be v(-10). Suppose -229 - l = -13*p. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 10*z**3 + 2*z + 1. Suppose 241 - 245 = -a. Let m(r) = r**3 - a*r**3 + 34 - r + 29 - 64 + 2*r**3. Determine -m(d) - x(d).\nAnswer: -9*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16330229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-126)\/30 + 9 + (-7)\/(-35). Solve -5*i - 6 - 19 = 0, -v*i - 16 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 17061200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 9*x**2 + 3*x - 2. Calculate the remainder when d(-6) is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 50*s - 95. Suppose -p + l = -3, p - 2 = -3*p - l. Put -1, s, -4, p in descending order.\nAnswer: s, p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109*i**2 - 63*i**2 - 2*i + 3*i**3 + 47 - 55*i**2 + 3*i + 4 to the form x*i**3 + y*i + c*i**2 + b and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (246\/287)\/((-12)\/8)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82408, -88055, -93702, -99349, -104996?\nAnswer: -110643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 18*q + 16*q + 7.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/3 + 136*s**3\/3 + 512*s**2 + 672*s - 3744 = 0.\nAnswer: -6, 2, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52084?\nAnswer: 2, 29, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169.346um in centimeters?\nAnswer: 0.4169346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-3))\/((99\/(-9))\/(-33))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*d + 28. Solve 4*a - 16 = -d*m, 5*a = -m + 3*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 64*q - 6*q**2 + 48*q - 3*q**3 + 6*q**2 + 10 to the form k + d*q**2 + p*q**3 + s*q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 522 - 106 - 808*q**2 - 817*q**2 + 64*q + 1625*q**2 + 3*q**4 with respect to q.\nAnswer: 12*q**3 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + f = -32, 21 - 65 = -2*j - 2*f. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1855864 plus -5?\nAnswer: 1855859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (276\/16)\/((-15)\/(-40)). Let q = j - 26. Suppose -2*g + 3 + 1 = 0. Solve 5*b - l + 30 = 0, -b - 3*l = -g*b - q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4531 (base 7) to base 5\nAnswer: 23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*o**3 - 20*o + 230 + 0*o**3 - 4*o**3 + 74*o wrt o.\nAnswer: 6*o**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1950581826.\nAnswer: 2, 3, 108365657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cci. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 4:16 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*h - 33. Is -18 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r - 348 + 3*r + 877 + 40.\nAnswer: 2*r + 569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7306883329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) -4 (c) -799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*b - 5*b + 9, -3*b = 3*o - 24. Factor a - 2*a**o + a**3 + 526 - 523 - 3*a**2.\nAnswer: -(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-7) - 115\/35. Which is the closest to -1? (a) 0.1 (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 164 = -136. Suppose 5*q = 4*s - 37, -29 = 4*q - 2*s - s. Let l be (-12)\/(-2 - 8\/q). What is the highest common divisor of l and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2 - 2*g - 4. Let s be w(-2). Put s, -1, -0.3, 0.4 in descending order.\nAnswer: s, 0.4, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033419964?\nAnswer: 2, 139, 1858669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -35. Let f = y - 2.1. Let g = -3.5 + f. Round g to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, i: 2}. What is prob of picking 1 f and 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, 5 in descending order.\nAnswer: 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 5. Suppose 27 = 4*p + i + 2*i, 5*p + 3*i = 30. Suppose -p*y - 11 = -a, -3*a + 15 = 2*a + 5*y. Let r be 10 - a - (1 - 0). Determine u(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 20*y - 308. What is c(16)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - (6 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**3 + 3*s**2 - 5*s - 4. What is n(-3)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**(-2)\/i)\/i))\/i**1)**36*(i**(6\/11)*i*i*i\/i**(2\/21)*i*i*i)**47 assuming i is positive.\nAnswer: i**(103294\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*(-2)\/(-64 + 8). Which is smaller: f or -2\/4911?\nAnswer: -2\/4911","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/150 - 7*m**4\/30 + 13*m**3\/15 - 18*m**2. Suppose w(f) = 0. What is f?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9814\/267 smaller than 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 o when three letters picked without replacement from {h: 1, w: 2, o: 5, a: 1}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/9)*f**(-4)\/f)**(-30) assuming f is positive.\nAnswer: f**(460\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58029 and 1983?\nAnswer: 115071507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 5 (c) 2\/7 (d) -0.1 (e) 0.072 (f) -1\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 8. Let q(p) = -p**3 - 9*p**2 + 2*p + 12. Let z be q(-9). Let k be d(z). Find the second derivative of -3*s - 5*s**2 + s**2 + s**k wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(0 + 1 + 0). Suppose t*g - 9 = 6*g. Calculate the remainder when 4 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1826 by -156.\nAnswer: 913\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 110, 0, 3, -119 in decreasing order.\nAnswer: 110, 3, 0, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3553*m = -3497*m + 2*c - 66, -4 = m - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from wuuwwwuw.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, 8.594, 0.4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 827944 and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 + 5. Let r(b) = -4*b. Give u(r(s)).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 48. Suppose -2*h - c = -0*c - 37, -59 = -4*h + 3*c. Let x be k(h). Suppose -x*v + 12 = -8*v. Solve -4*d - 10 = -v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1023 - -1032. Let b(o) = -o**2 - 10*o - 7. Suppose 2*q + 0*q = -12. What is the remainder when b(q) is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(-1 + -4 - -3). Let a be (1 - (-54)\/4) + 1\/2. Suppose -d*f - 10 = -a*f. Solve 29 = 5*r - 3*i, r - 9 = i - f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - 2*k + 13*k + 0*k - 3*k - 5*k in the form v + l*k and give v.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 97*d**3 - 875*d**2 + 875*d**2.\nAnswer: 97*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -8. Let z = 15 + r. Is z a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335477 - 28429.\nAnswer: 307048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 4*w**7\/21 - 53*w**6\/30 + 83*w**3\/6 + 21*w**2\/2 + 3764*w. What is the second derivative of v(o) wrt o?\nAnswer: 160*o**3 - 636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 3*q**2 - 5*q - 2. Let l(y) = y**2 - y. Calculate -h(m) + 5*l(m).\nAnswer: -m**3 + 2*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -5 - (6 - (6 + -14)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/20 and -79\/794.\nAnswer: 7940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1\/9053 (b) -5 (c) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 4*v**2 + 4*v - 3. Let k = -8 + 3. Let u be p(k). Solve -2*o = 5*n + 8, 5*o = 4*n - u*n + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -3, 90, 199, 324, 465, 622?\nAnswer: 795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -3*q**3\/2 - 4*q. Let l(v) = -2*v. Calculate u(l(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -949 + 7*s**4 + 33*s + 3379 + 228 wrt s.\nAnswer: 28*s**3 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/354 and 5\/1416.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -44325, -88849, -133377, -177909?\n\"Answer: -2*x**2 - 44518*x + 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a century in months?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1225141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.12 + -4.42. What is the second biggest value in -1\/7, -4, f, -0.11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -16*z**2 - 12469*z - 74725. Determine s(-6).\nAnswer: -487","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/8 and 59\/60816.\nAnswer: 60816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3903*o + 3953. Calculate d(-1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 473 and 5?\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2255, -4389, -6523, -8657, -10791, -12925?\nAnswer: -15059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20906*q**4 + 107*q**3 + 3*q**2 + 476250*q?\nAnswer: 501744*q + 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233300 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -14*g**3 - 9*g**2 - 40*g + 36. What is the ten thousands digit of n(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2685517 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**4\/4 + 5*s**3\/3 - 5*s**2\/2 + 6*s - 12. Let t = -2 - -4. Suppose 3*q = 5*u - 8, t*q + 4*u + 22 = -u. Determine i(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -12*v - 3481 + 3*v + 3440 + 3*v**2. What is the units digit of h(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1 (b) 0.9 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*y - 6, 5*y - 4 = -o + 3*y. Suppose -5*j + 0*j + 53 = 4*q, o = -4*j + 20. Solve 8 + q = -5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-3))\/((-225)\/75)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -77\/12*f**4 - 1\/60*f**6 + 31*f - 98\/3*f**3 - 8\/15*f**5 + 0 - 3*f**2. Determine p so that g(p) = 0.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/40)\/(2279\/(-1549720))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-1))\/(-11 + 10) - (-132)\/528?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640 is divided by 596.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 + 690*g**2 - 2063*g + 1374.\nAnswer: -(g - 687)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14 + -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (3 - 186\/45). Which is the biggest value? (a) 0.02 (b) -0.114 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9c13 (base 13) to base 16.\nAnswer: -5539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-19\/5)\/s)\/(s**(-3\/8)\/s))\/((s\/(s*s*s\/s**(16\/3)))\/(s**(1\/51)*s)) assuming s is positive.\nAnswer: s**(-7627\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 101*m**3 - 5*m**2 - 7*m - 3. Let z(b) = -100*b**3 + 7*b**2 + 8*b + 4. Let a(u) = 4*g(u) + 3*z(u). Find the third derivative of a(w) wrt w.\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x + 12*x - 96. Suppose -x*n + 656 = -4*o, 0*o = -2*o. What is the lowest common multiple of n and 3?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14)*15\/(-45).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 67\/(-3) - 10\/(-30). Let i = -17 - r. Suppose 235 = i*f - 190. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c098 - -7?\nAnswer: 3c0a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((((n**(-2\/7)\/n*n)\/n)\/n)\/n)*n**9)**(2\/47))**(-20))**(4\/5) assuming n is positive.\nAnswer: n**(-2976\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 10*b + 1. Suppose -245*u + 7 = -244*u. Give s(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -7 - 1. Let u be ((-54)\/4)\/(6\/n). Suppose -v - u = -4*v. Calculate the smallest common multiple of 10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 0*w**2 + 8 - 11 + w**2 - 4*w. List the prime factors of p(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighty-seven fifths of a milligram?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggbggppbpbgbgggpbb. What is prob of picking 1 b and 1 p?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -12041*x**2. Let d(t) = -2*t**2. Determine d(r(n)).\nAnswer: -289971362*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/737 and -1*15\/135*300\/134.\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54047747049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**6\/40 - 3*x**5\/20 - 23*x**4\/24 - 3*x**3\/2 - 23*x**2 + 4. Is l(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82753, -82752, -82751, -82750, -82749, -82748?\nAnswer: -82747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42014 + (-12 - -252)\/(-15). What is j rounded to the nearest one hundred?\nAnswer: 42000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1007 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 + 23 + (-1929)\/84 + 7 + -6\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.73 + -0.27. Let s = z + 9. Which is the closest to -2? (a) -3 (b) -1\/11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 - 54)*(2 - 9\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21650, -86592, -194828, -346358, -541182, -779300?\nAnswer: -1060712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, j: 2, q: 1, a: 2, e: 2, z: 3}. What is prob of sequence cze?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2901*v - 11590. Let o be g(4). Solve -l - 3*a = 10, -l - 15*a + o = -18*a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32381, -64795, -97199, -129587, -161953, -194291?\n\"Answer: c**3 - c**2 - 32418*c + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u, 0 = 5*d + 3*u + u - 146. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*47\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/15*28*(-28)\/(-294).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wssstotolttoqlsttlow. Give prob of picking 1 q, 2 o, and 1 w.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 16) to base 5.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 985?\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -12*h + 80. Let v be (8\/h)\/(2\/5). Suppose -v*u - 3*u = 3*g - 482, 3*u + 2*g = 289. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrlgrrirrrrl. What is prob of picking 1 g, 2 l, and 1 i?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265754 and 5073?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35052225 (base 6) to base 9.\nAnswer: 2025538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*c - c - 3677 = 0, -5*v + 2*c = -18346. Suppose -8*w - v + 9404 = 0. Calculate the remainder when w is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4297 and 1.1.\nAnswer: -4295.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -21*l - 8 + 7 + 11 + 4*l**2. Let i be s(4). Let k(t) = t**3 + 9*t**2 - 11*t + 9. Let b be k(i). Solve 3 = -3*m - 9, 3*a = -4*m - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 7, q: 3, n: 2, s: 3, m: 1, f: 1}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 12*g - 198. Suppose -3*s + g = -81. Suppose 0 = -37*x + s*x. Solve 5*u = -5*c + 15, 4*u - 8 = -2*c - x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -63501?\nAnswer: -2\/63501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 6*f**2 + 3. Let c = 1 - -5. Let y be q(c). What is the second derivative of 2*u - 4*u**y + 5*u**3 - 4*u wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 10. Let o = y + 2. What is the smallest common multiple of o and (-2)\/5 - (-44)\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7920) + sqrt(7920) + 3*(sqrt(7920)*-1 - sqrt(7920)))*-6)\/(-2*6*(sqrt(405) + sqrt(405)*2)) + 0.\nAnswer: -8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) -0.3 (b) 0.13 (c) -0.06 (d) -1\/423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/3843 and 10\/141093.\nAnswer: 987651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 232 + 1278. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2178.4 + -2178. Let o = -13 - -11. What is the closest to 2 in o, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -318, -493, -668, -843?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 398119 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 100*b + 21. Calculate the remainder when h(2) is divided by 87.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -985959 - 0.09\nAnswer: -985959.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 2\/21 (c) 1.8 (d) -0.12 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15952 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 19 + 21. Let m = 4 - 4. Let g = m + y. Solve -17 - g = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.79 + -5.4. Let k = p - 0.89. Let b = 2.01 - 0.01. What is the second smallest value in b, k, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -16398, -17067, -17736, -18405, -19074, -19743?\n\"Answer: -669*w - 15729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvvcvv. What is prob of sequence cvvc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -527*(-38)\/4522*-7?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (14 + -10 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j = -47*j + 4*v - 6, -5*j + 4*j = -4*v - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/13)*g**23\/g)\/(g**(-11)*g**8))**(-49) assuming g is positive.\nAnswer: g**(-16072\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15885*z + 144196 with respect to z.\nAnswer: 15885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 243 (base 10) to base 12\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -81 times 18308.83\nAnswer: -1483015.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 9 = -3, 3*p = -i - 3. Suppose p = 4*z + 27*z + 7130. Is -231 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:08 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -3357556 and -3357556 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -547, -1089, -1631?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 less than -2844535?\nAnswer: -2844382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -13*k**3 - 2*k**2 - k. Suppose 2*x - 3*s = 7, -5*x + 2*s = -3*s - 10. What is the remainder when 23 is divided by n(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235 + 229 = -2*z - 2*o, 4*z = 2*o + 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*d + 415 + 44*d**2 - 18*d - 462)*(0*d**3 - 3*d**3 + 4*d**3).\nAnswer: 44*d**5 + 2*d**4 - 47*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/16 - (3674\/(-44) - -25)*(-2)\/120.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + 432?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 0) + (-284 - -304 - (107 - 0))?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 298\/13. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03197725*0.2.\nAnswer: 0.00639545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*d - 16 = 2*d, 0 = 3*x - 5*d - 20. Let a = 4 - x. Suppose 0 = 5*c - a*r - 90, -2*r - r = -15. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3420 is divided by 183?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -167. What is the remainder when (123\/15)\/(9\/s) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13890603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -6*m**5 - 14*m**4 + 6*m**3 + 22*m**2 - 8 = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*o + 36 = -480 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 214968 divided by 3.\nAnswer: 71656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-69 + (21 - 15)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.48 (b) 29 (c) -221\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 172 - 193.7. Let l = 21 + c. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/14 - 288\/(-420). Let n = 169 - 173.08. Let w = -0.08 - n. Sort w, k, -0.5.\nAnswer: -0.5, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4 or 82085891?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7 - -2 - ((-100)\/4 + 0). Solve 6*h - y = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g**4 - 33405*g**3 + 15559148*g wrt g.\nAnswer: -156*g**2 - 200430*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 + 9*h - 1. Let v be w(4). Let l be 11\/v + (-8)\/12. Solve -3*u - 3 - 9 = 0, -l*u = -3*k + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlvwzdbz. What is prob of sequence wlbv?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363 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: Let j = 2050 - 2049.7. Suppose -6*q + 15 = -q. Which is the nearest to -2? (a) j (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 6*(0 + sqrt(2299)*2 - (1 + sqrt(2299)*3)))**2.\nAnswer: 1320*sqrt(19) + 82864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 168, 683, 1542, 2745, 4292, 6183?\n\"Answer: 172*h**2 - h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - t**2 - 2*t - 2. Let y(q) = -q**2 - 1. Let d(k) = r(k) + 2*y(k). Let w be d(3). Calculate the highest common divisor of 51 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44 - 1480825?\nAnswer: -1480791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*m - 19 = -1, 0 = 5*x - 5*m - 20. Let a(h) = h**3 + 5*h**2 + 3*h + 15. Let r be a(-5). Solve r*z - z - 1 = 0, 3*v = -x*z - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let p be ((-15)\/6)\/((-2)\/r). Calculate the remainder when 22 is divided by p + (-3)\/(-1) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -964*k + 966*k + 5 + 29 in the form t + c*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 495\/5 - (1 + -3)\/2. Let h = s - 75. Calculate the remainder when 47 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -5*r, 2*r + 4*k - 4 = -28. Let d be (-1)\/r - (-15)\/(-28). Let w = -4\/17 - -25\/34. What is the nearest to -0.1 in d, -0.3, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -9. Let f be (-4)\/(-10) - (-13)\/w. Suppose f*i - 2*i = 4. Solve -i*v + 7*v = 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 300 and 3500?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 1 - 5. Let g = -35 + 38. Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 5:44 AM?\nAnswer: 431","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g - 12. Let p be ((-2)\/(-3))\/(g\/(-30)). Suppose p*j = j + 48. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-24)*(28\/(-504))\/((-26)\/8)?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:14 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1276, 1\/5 in decreasing order.\nAnswer: 1\/5, 0, -1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 7 - n + 29*n + 4*n + 15 + 1501*n**2 - 11*n. List the prime factors of h(-1).\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -o + 5*l, -4*o - 5*l = -11. Let i(b) = -o + 0*b + 2 + b. Suppose -2*u - 20 = -5*h - 6*u, -h - 4*u = -20. Determine i(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 4}. Give prob of picking 2 d and 2 b.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 + 287. Let l = z + 311. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + x**2 + 2*x + 88. Let z = 56 - 56. Does 12 divide s(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77979000 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/21))**(9\/7)*(q\/(((q*q**(-15))\/q*q)\/q))**(-30) assuming q is positive.\nAnswer: q**(-23463\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7)*r\/(r*r\/r**(-4)))**(-3\/5)\/(((r\/(r\/r**1)*r)\/r)**14\/(((r\/r**(2\/5))\/r)\/((r\/((r**5\/r)\/r*r))\/r))) assuming r is positive.\nAnswer: r**(-253\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 6*h - 2. Let p(d) = -14*d + 168. Let g(l) = -p(l) - 84*x(l). Let v(q) = -3*q. What is v(g(u))?\nAnswer: 1470*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-102*q + 71*q - 37*q)*((-2 - 2 + 2)*(q**2 + q**2 + 0*q**2) - 2*q**2 + 2*q**2 - 3*q**2).\nAnswer: 476*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 7 + (12 - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -153*w**3 + 46*w**2 + 3*w - 5. Let t(p) = 306*p**3 - 77*p**2 - 5*p + 9. Give -5*c(u) - 3*t(u).\nAnswer: -153*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 5*a**2 - 2*a - 5. Let b(g) = g**3 - g**2 - 8. Let p be b(0). Let i be (-54)\/24*p\/3. Is r(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 144\/8*(-1)\/2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 3*s**3 + 0*s**2 + 0*s**2.\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 400430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -5*a - 4*g, -a + 6*a - 4*g = 94. Let y = 42 - a. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -0.2 (b) -5 (c) -2 (d) 144\/19 (e) 0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - j + 79 - 20 = 0, 0 = f + 5*j - 7. List the prime factors of (4\/f - (-78330)\/135) + -1.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 + 3*i**4 - 1068*i**3 + 9*i**2 - 2*i + 1258 wrt i.\nAnswer: -60*i**2 + 72*i - 6408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 4*k - k. Let o be (-6)\/(-18)*-15 - -9. Sort 3, o, 5, k in ascending order.\nAnswer: k, 3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - 5) + 10 + -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6334343031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*j - 48, -3*r + 5*j = 2 + 2. Let a(g) be the first derivative of -g**3\/3 - 9*g**2\/2 + 3*g - 4. What is the tens digit of a(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 36c - c?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3 + b**2 + 4 + 8*b - 3 + 1. Let g be k(-8). Let f be 2\/(-10) - (-51)\/g. Calculate the greatest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -2. Which is the biggest value? (a) d (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 1590.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -n**3\/3 - n**2\/2 + 2*n - 3. Let q be w(-9). Let u = -50 - q. Calculate the highest common factor of u and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 586496 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/775 and -13\/93155.\nAnswer: 465775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -155, -183, -231, -305?\n\"Answer: -j**3 - j**2 - 4*j - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 9 = 4*n. Let b be 2*n*2\/4. Let z = 2327\/7 - 333. What is the second smallest value in 0.4, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/312739478 and -81\/452?\nAnswer: 625478956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 364496 or 364673?\nAnswer: 364496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, c: 2, x: 2}. Give prob of picking 1 c and 1 i.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.6469 - -0.3531. Let t = 20 - 8. Which is smaller: d or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001010000110011011100100 + 11?\nAnswer: -10001010000110011011100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 30*c + 123. Determine h(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 49\/48, -0.2, 1, 23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 15 - (-2 + (-9 - -12) + -4)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6411*p**3 + 12112*p**2 - 244835571*p.\nAnswer: -38466*p + 24224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15856 + -15857. What is the nearest to m in 0.8, -0.02, 10\/13?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 932, 1865, 2798?\nAnswer: 3731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*v = 222*v + 3*n + 15, 3*v + n = -5. Solve q + v = -6 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4516960 is divided by 6407.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -526*t - 522. Give o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850898209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 6676839.38 to the nearest 1000.\nAnswer: 6677000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -359 + 349. Let p = -4.1 + 4.6. Is g greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 88681.32 micrometers?\nAnswer: 0.00008868132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2041155827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -698 - -701. What is the lowest common multiple of d and 2706?\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/4 - 3\/4*g - 15\/4*g**2 + 3\/4*g**3.\nAnswer: 3*(g - 5)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 310617 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*d**3 - 5*d**3 + 8*d**4 - 67*d**2 + 76 + 76*d**2 wrt d?\nAnswer: 32*d**3 + 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-451535)\/38)\/5 - -25. Which is bigger: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q + 3. Let c be -2*2*(-3 - (-22)\/8). Let j be m(c). Is 28 a factor of ((-4)\/1)\/(j\/(-21)*-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -13499 + 1279. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:49 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1351 and -3705?\nAnswer: 5005455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -29*d**2. Let g(x) = -x. What is g(p(u))?\nAnswer: 29*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/64)\/(14\/12 - 1). Suppose m = 6 - v. Suppose 0 = p - 3*r - 28, 31 = p + 4*r + m. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 39. Suppose r*j = 3 - 8. Let g be (-997 + -3)\/(j\/25). What is g rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5060 + -5059.5. What is the closest to -2\/9 in -0.2, x, -13, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -123, -181?\n\"Answer: -58*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k - 58. Let c be s(3). Is c\/(-215) - 458\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 8:58 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 76466850.\nAnswer: 5352679.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let l(m) = 2*m - 3. Let a(f) = 2*b(f) + 2*l(f). Let v be a(5). Suppose -4*c - 5*g - 10 = -2*g, v*g = -5*c - 13. Which is smaller: c or 1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005580609201 rounded to five decimal places?\nAnswer: -0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 3*y - 6*y + y. Let z(p) = -3*p**2. Calculate z(g(j)).\nAnswer: -147*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 + (-15)\/(-5). Solve 0*x**2 - 5 + 3 + m*x**2 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 178, 246, 354, 520, 762, 1098?\nAnswer: 1546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 3:01 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 311?\nAnswer: 6842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 8*f**2 + 7*f + 4. Let j = 0 + -7. Is 4 a factor of q(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/3167?\nAnswer: 5\/3167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -2. Let t be ((-9)\/2)\/(-12 - -9). Sort y, 3, t.\nAnswer: t, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*c + 1916 = -739, -3*p = -c - 7972. List the prime factors of p.\nAnswer: 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32582439?\nAnswer: 3, 53, 22769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2 + -2 - -3) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 5:57 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 44*x**2 - 395*x + 1220. Calculate i(-52).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - i. Suppose -5*j + 2*g = -82, -2*j + 2 = -3*j + 5*g. Let r = -13 + j. Suppose r = -b + 3. Let o(f) = 4*f**2 - 3*f. Determine b*o(v) + 6*c(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308170259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 171, 650, 1441, 2544, 3959?\n\"Answer: 156*d**2 + 11*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d - 2)*(-2*d - 1 + 1) + (3*d - 5 + 5)*(-2*d + 0*d + 1 - 9*d).\nAnswer: -31*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 467*m**6 + 2*m**4 - m**3 + m**2 - 1084*m - 2 wrt m?\nAnswer: 56040*m**3 + 48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t + 6. Let c(n) = 3*n + 316931. Determine c(d(h)).\nAnswer: 27*h + 316949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -29 + 460*l**2 + 19*l - 449*l**2 - 21. Let z be r(-15). What is z rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c + 538 + 148 = -14*t + 13*t, 2*c + t = -0*c + 28 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, d: 2, x: 5, s: 1, w: 1, c: 2}. What is prob of sequence xsxw?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-2)\/(34\/17))\/7.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -344000 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 46396 * 5\nAnswer: 231980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(0 - (3 + 1)). Which is the third biggest value? (a) j (b) 3\/4 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 3. Suppose -2*i - i + 4*w + 24 = 0, -w + 3 = 0. Suppose 0 = -5*v + 2*v + i. Solve -3*c - 2*c + 3*j = 7, 13 = -d*c + v*j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3. Let t(a) = 11*a**3 + 20*a**2 + 21*a + 65. Let l(b) = t(b) - 5*x(b). What is the hundreds digit of l(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:19 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 151b - 5?\nAnswer: 1516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 9. Suppose -k - 3*o + 2 = 0, -w + 0 = -k + 3*o. What is the lowest common multiple of 2 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4)*d\/(d\/d**(2\/7))*d\/(d*d**(3\/4)*d)*d**2)\/((d**0)**(2\/33))**(-2\/13) assuming d is positive.\nAnswer: d**(-97\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)\/u*u\/(((u\/(u**(2\/7)*u)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 12. Let r be x(-6). Let q(p) = p + 4*p - r*p - 7*p**3. Determine q(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -559*c**6\/15 + 563*c**4\/12 + 29*c - 8. Find the third derivative of z(q) wrt q.\nAnswer: -26832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.869977ug to kilograms.\nAnswer: 0.000000009869977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3000 = 7*v. Let c = -2 - v. List the prime factors of c.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -16*w - 78. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-26129693380)\/(-12441))\/5 - (-12)\/78. Let p = 420057 - a. Let h = p + 1\/87. What is the common denominator of 9\/11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 113933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is bc0349 - -1?\nAnswer: bc034a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8379 - -8383. Let q(j) = 39*j + 1. Let t(i) = -40*i - 1. Give v*q(y) + 3*t(y).\nAnswer: 36*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.411, 368714.\nAnswer: -1, -0.411, 368714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21492192 and -582.7.\nAnswer: 21491609.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -59 + 39. Suppose i*h - 2730 = -0*h. Suppose -681 - h = -3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9447467021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 - 3)*(-20*s + 16*s + 13*s + 2) to p + t*s and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*a**2 - 8*a**2 - 12*a + 33*a - 19*a - 15*a in the form n + d*a + g*a**2 and give g.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2262 = 4*f, -3*f = 5*i - 736 - 978. What is the smallest common multiple of f and 710?\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 147 = 4*f. Is 21 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 56, -0.01, -31?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**4\/4 - 7*u**3\/3 + 5*u**2 + 11*u - 2368. Give o(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 14*o + 3. Give s(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - (-2532)\/(-8))\/(9\/(-126)). Suppose -17*o - 1189 = -j. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*d + 4. Is (-5 + d - -154) + -4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 128 + -128.095. Let m = r - -0.255. What is m rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2. Let m(y) = 12*y - 40. Let i(s) = -11*s - 170. Let n be i(-16). Let d(u) = 2*u - 6. Let x(h) = n*m(h) - 40*d(h). Calculate x(c(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 571*-6.3.\nAnswer: -3597.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-692 + 6*p + 692)*(17 - 18 - p**2 - 2*p**2 + p) to the form y + q*p**3 + v*p + k*p**2 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 4 + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 405 + -257. Suppose y = 3*c - 170. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 11*l**2 - 8*l - 21. Determine r(-11).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2176\/7 - -19633\/63. Solve 7\/9*l**2 - g - 1\/9*l**3 + 1\/9*l = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319454 and 1688.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-2 + -6 - (61 + -52))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -16. Suppose j = -b + 3*u + 8, -3*u - 2*u - 18 = -4*b. Suppose 13 = b*l - 5*f, -3 = f - 2. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 - -140.0328. Let z = n + -3.0828. Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-3))\/(16\/696*-1). What is the highest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79815.\nAnswer: 3, 5, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.61 to one dp.\nAnswer: 30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -710614 and -1.\nAnswer: -710615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2694 - 21583\/8. Find the common denominator of 13\/11 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -101*w**4 - 244 + 287*w**4 + 244 - 393*w wrt w?\nAnswer: 2232*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3572 by -1.\nAnswer: 3572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 5 + 89 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 4:32 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y + 14. Let n be u(-7). Suppose -p = -4*a - n, 5*a - 36 = -p + 3*a. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d*u**6 - 470*d*u**3 - 3*d - u**2 + 31*u wrt u?\nAnswer: -240*d*u**3 - 2820*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3408 - 3382. Calculate the remainder when 198 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 2. Let s(g) = -3*g - 3. Let r be (-3)\/(-2)*(-4)\/(-6)*-3. What is r*s(x) - 5*a(x)?\nAnswer: 4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 1366 (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccgzzlczlzzlszzczzz. Give prob of picking 1 s, 1 c, and 2 z.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -44 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2\/3, -21, 3, 2\/127209?\nAnswer: 2\/127209","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6912 + -0.3088. What is the fourth biggest value in -2\/7, 6, -22, n?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211 divided by -1\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3053 by 2.\nAnswer: -3053\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-279)\/(-12) - 6\/(-8). What is the greatest common factor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v**2 - 5*v - 10. Let d(x) = -2*x**2 - x - 2. Let g(t) = -5*d(t) + o(t). Let c(b) = 0*b + 4*b - 6*b. Calculate g(c(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36349875 divided by 5?\nAnswer: -7269975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*n = 58*n - 208. Let o be ((-3)\/(-2))\/((-15)\/(-80)). Let q be 314\/o + 2\/(-8). What is the greatest common divisor of q and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*i - 17. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -78715, -78589, -78463, -78337, -78211, -78085?\n\"Answer: 126*d - 78841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -4. Let x = -4 - g. Is -1 >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 - 3*s**3 + s**3 + 2*s**2 + s + s**3. Let c be n(-1). Let b be (-2)\/(-1) + c\/(-2). Solve -b*k = -8*k + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1 - (4 + -5))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*v**3 - 49*v**2 + 2*v**3 + 56*v**2 wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6412296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -600529 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409*a = 133*a + 834072. What are the prime factors of a?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -861 = 85*y + 74 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 5*o + 2. Let s = -13 + 8. Let d be v(s). Solve 3*b = -n + 10, -5*n - d*b + 6 = 2*b for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, s: 4, u: 1, t: 8}. What is prob of sequence zut?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*q**4 - 39*q**3 - 2*q**2 - 2*q wrt q?\nAnswer: -72*q - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(2\/1))\/((192\/(-32704))\/((-21)\/(-49)))\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2567*i + 2565*i. Calculate the remainder when 71 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (782\/(-14))\/1 + 18\/(-126). What is the common denominator of -5\/12 and 211\/(-210) - (32\/n - -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -59. Solve -g = d + 3*d + 4*y, -12 = -3*y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-8)*4 + -3. Suppose -7*s + 48 = -b*s. Solve 4*y = 2*y - 5*d - 28, -s = 2*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 20 - 3*i**3 + 1 - 1.\nAnswer: -2*i**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*j + 101*j = -3080 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d**2 + 6594 - 6594. Let o(a) = -51*a. What is o(x(w))?\nAnswer: -102*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -111 + 246. Suppose 6*k - o = k. Calculate the remainder when (-2)\/8 - 1263\/(-12) is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/15 - 0)*-10. Which is the second biggest value? (a) f (b) 5 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4652)\/(-126) - 8\/(-36). Let x = y - 37. Let a = 0.4 + 0.1. What is the second smallest value in a, x, -0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*r + 18 = 4*r, -r + 4 = 0. Let z = -1 - -0.9. Let k = 0.2 - z. Which is the smallest value? (a) 0 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 210, 2\/5, -1\/2, -3\/2, 2 in descending order.\nAnswer: 210, 2, 2\/5, -1\/2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3\/3 + 21*k**2\/2 - 369*k. What is w(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2511 - 985. List the prime factors of z.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 541773 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*((-1*sqrt(637) + sqrt(637))*3 + sqrt(637) + -1)*6 + -4)**2*-5.\nAnswer: -12407280 + 302400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 2)*(-2 + x + 2) - 9*x + 21*x - 14*x to l + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(-1)\/44*15. Let p be -1 + (-10)\/22*-7. Let u = w - p. What is the nearest to 1 in 1\/6, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130531806 smaller than 130531806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 14*y - 24 = -2*y. What is the closest to y in -1\/4, -0.6, -4\/5, 2\/3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -6 - -6) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s. Let c(p) = 232*p. Let y(a) = -11*a. Let j(i) = -3*c(i) - 64*y(i). What is v(j(r))?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1698, 4534, 8502, 13602, 19834, 27198, 35694?\nAnswer: 45322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, 2.73, 60, -2960?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z + 8. Let s be w(6). Let j = s + 8. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - 6*f**4 + 3*f**4 + (-2 + 2 + 2*f**2)*(2*f**2 - 5*f**2 + 0*f**2) + 1 + f**4 - 1 + 0 + 0 + f**4)*(6*f - 4*f + 1 + 1).\nAnswer: -6*f**5 - 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -22101000022022121?\nAnswer: 22101000022022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 1. Let l(d) = d**3 - 2*d**2 + 2*d. Suppose -7 = 3*r - 5*o, -2*o + 13 = 5*r + 4. Give r*l(x) - 2*f(x).\nAnswer: x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37614622.\nAnswer: 2, 101, 186211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 14897, 0.65, 3?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 23*c + 41. Let w be l(-2). Let x be (14 + w)*16\/20. Solve x*z + h + 0 - 2 = 0, 5*z - 13 = 4*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330, 1137, 2436, 4227, 6510, 9285, 12552?\nAnswer: 16311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11716 and 45652.\nAnswer: 1323908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*n = -4*n - 101, -4*o + 96 = 4*n. Suppose 0 = 3*p - o + 1. Let a be (12\/p)\/((-3)\/(-496)). Calculate the greatest common divisor of 31 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:16 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1385, 1525, 1655, 1775?\n\"Answer: -5*m**2 + 155*m + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -535, -3548, -11453, -26608, -51371, -88100, -139153, -206888?\n\"Answer: -393*s**3 - 88*s**2 + 2*s - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6\/27 + (806\/(-18))\/(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -182*m - 179*m + 362*m + 1. Let r(w) = -4*w**2 + 2*w - 9. Let k(p) = -2*d(p) + r(p). Find the first derivative of k(a) wrt a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404.75 millimeters in kilometers?\nAnswer: 0.00240475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.743, 0, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -339176*h. Let q(x) = 166*x. Calculate q(g(v)).\nAnswer: -56303216*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11))*1 + 0 + sqrt(11) + 1 + sqrt(11).\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 (base 4) in base 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/32 + 37\/(-4) + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = b - k - 10, 3*k = b - 6. Let l be ((-6)\/15)\/(1\/10). Let x = l + b. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 445.1 and 3.421?\nAnswer: 441.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:14 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 4) to base 12.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*u = 5. Find the second derivative of g**5 - g - 4*g - 2*g + 5*g**u wrt g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 584 + 928. Is x a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29326 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 16 = -6*l. Let j(z) = 75*z - 17. What are the prime factors of j(l)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 4364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2.4 and -0.192?\nAnswer: 2.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -8929?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2 (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -418 - -649. What is the least common multiple of h and 21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.89?\nAnswer: -0.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11211 (base 4) to base 9.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 383753820 divided by 95938455\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 338305?\nAnswer: 338304.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y + 4. Let i be (-75)\/(-9) + (-3 - 6\/2). Let x(u) be the second derivative of -10*u + 0 - i*u**3 + 11\/2*u**2. Calculate -17*l(z) + 6*x(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011030 (base 5) to base 7.\nAnswer: -65533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -103*u**3 - 2*u - 8. List the prime factors of b(-2).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5883228 (base 10) in base 9?\nAnswer: -12056240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5261120 rounded to the nearest ten thousand?\nAnswer: -5260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**4 - 5*y**4 - 2*y**4 + (y**2 + y**2 - y**2)*(-3*y**2 + 3*y**2 + y**2) - y**4 - 3*y**4 + 2*y**4 + 8*y**2 + y**2 + 3*y**4 - 5*y**2.\nAnswer: -12*y**4 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + l = -50007, 3*k + 619*l = 614*l + 50007. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 + 4*s**2 - 2*s**2 + (-5*s + 12*s - 5*s)*(-13 + 10*s + 31 - 29 - 9).\nAnswer: 22*s**2 - 40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8 - -2 - (0 + -1). Suppose -3*z = -z - 188. Let f = -61 + z. Calculate the highest common divisor of f and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*a - 5137 = 32989, -2*p - a = 76261. Let m = p - -64616. Let l = 476609\/18 - m. Calculate the common denominator of -29\/16 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*((-239)\/12 + (-3)\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 28*d**3 - 3*d**2 - d - 4. Let h(g) = 29*g**3 - 4*g**2 - g - 5. Let y(r) = -4*h(r) + 5*w(r). Suppose 4*n = 3 + 1. What are the prime factors of y(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (130\/(-143) - (-8)\/(-88))*-5. Solve 2*t - 6 = -y*q, 3*t + 3*q - 7*q - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i + 0*i - 2*i)*(3*i - 2*i + i)*(-1649 - 279*i + 1649) to r*i**3 + s + c*i**2 + d*i and give r.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 13.23. Let u = 0.22965 + m. Round u to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8302, 4, -2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*x + 62 + 112, -21 = -p + 5*x. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2869869*i**3 - 8395317*i**2 wrt i?\nAnswer: 17219214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**2 + 13*b - 16. What is s(4)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 15. Let n be i(17). Let m(r) = r**3 - 2*r + r - 2*r**3 - r**n + 3*r**2 - 4. What is m(3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754791*u**2 + 754776*u**2 + 754796*u**2 - 2264388*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 11*c - 48 + 5*c + 26 - 34*c + 8*c + 9*c. Suppose 2*r + 15 + 3 = 0. Determine n(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.4 or 44.7178?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -396.6 - -396.7. Sort o, -2\/23, -1.4, -3, 4 in increasing order.\nAnswer: -3, -1.4, -2\/23, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25526 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 41427 + 23 + -2 + -1. What is the tens digit of j\/62 + (-2)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -32*t**2 + 18*t - 72. Let y be c(5). Let s be 6\/(-8) + 1 - y\/136. Let l(k) = -k + 1. Let q(b) = -14*b + 5. What is s*l(r) - q(r)?\nAnswer: 8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w - 2. Let l(x) = x**3 - 5*x**2 + 6*x - 4. Let t be l(4). Suppose -t*v + 2*v - 4 = 0. Let m be q(v). Solve -3*z + 1 + m = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 4*x - 4. Let m = 0 - 20. Let a be 2\/5*m\/(-8). Let w be (1 + a)*(-15)\/(-6). What is p(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**3 + 3845*z**2 + 9665*z + 3870 = 0.\nAnswer: -2, -1\/2, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a meter in millimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/((-126)\/(-9)*(-5)\/15))\/(6\/(-63))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:29 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**2. Give q(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 12. Let q = v + 21. Solve 0*o - o - 3 = x, q = -4*o - 3*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 276*d - d**2 + 4 - 267*d. What is u(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2016, -4121, -6432, -9051, -12080, -15621, -19776?\n\"Answer: -17*h**3 - h**2 - 1983*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*j + 78 = -536*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177.7674mm in kilometers?\nAnswer: 0.0001777674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.195 and 8.9.\nAnswer: -55.1355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*94\/(-235)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2944682628.\nAnswer: 2, 3, 1279, 191861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -57. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18.23 and 5119796258.\nAnswer: 5119796276.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -20.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**4 - 4*f**3 + 4*f + 5. Let s(y) = -6 + 2*y**4 + 5*y**3 + 2*y**4 - 3*y**4 - 5*y. Let x(w) = -5*r(w) - 4*s(w). Differentiate x(v) wrt v.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1005 - -1013. Suppose 18 = -2*a - 3*u, -2*a - 3*a + 1 = -4*u. What is the closest to -1 in a, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108399716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 3. Let x be i(9). Let a(u) = -5*u**3 - u. Let w be a(1). Let r = w + x. What is the least common multiple of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -q + 15. Let o = 14 - 4. Let x(r) = -o + 7 + r + r. Let t(n) = -2*n + 3. What is q*t(b) + 6*x(b)?\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162664?\nAnswer: 2, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 590 and 68878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 2*f + 16 = -4*d, d - 5*f + 4 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*sqrt(1715))\/(-6*sqrt(847))*4)**2.\nAnswer: -56*sqrt(5)\/11 + 1464\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5814590748?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.112 rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from botbotott. What is prob of sequence bb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*o**2 + 5*o**2 - 2*o**2 + 5*o**2 + 2*o - 1 to p + f*o**2 + v*o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(204)\/sqrt(6) + sqrt(102)\/sqrt(108))\/(4*(sqrt(98)*-1 - (sqrt(2) - (sqrt(72) - sqrt(72)*-2 - sqrt(2))))).\nAnswer: 19*sqrt(17)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/6 + -5\/2. Let w = 185015 - 19427311\/105. Let x = 50\/7 + w. Which is the biggest value? (a) x (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2480 times 34.899\nAnswer: 86549.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 2 - 2)*(m + 3*m**2 - m).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/3 + 25128*x - 150760\/3 = 0.\nAnswer: 2, 37690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 12:13 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**7\/21 - v**6\/5 + v**5\/10 + v**4\/2 - 2*v**3\/3 - 2*v. Factor u(i).\nAnswer: 2*i*(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 1. What is m(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (690\/20)\/23*28\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k - 45. Let b(y) = y. Determine -4*b(t) + s(t).\nAnswer: -2*t - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.0639 months in millennia?\nAnswer: 0.048005325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140 - 20400?\nAnswer: -20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/9948609 and -89\/16581015.\nAnswer: 49743045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, -263 in decreasing order.\nAnswer: 17, 3, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 - 5 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61569 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 102062251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/2)\/(11\/(-66)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1\/4, 0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11607 - -11609. Sort g, -1\/3, 1\/10, 4, 17 in increasing order.\nAnswer: -1\/3, 1\/10, g, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 75963955200 to the nearest one million.\nAnswer: 75964000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 - a - 34. Let g be c(0). Let u = -19 - g. Suppose 89*s - 84*s = -3*t + 191, -3*t = -4*s - 155. What is the remainder when t is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q + 3. Let d be f(-3). Let a(b) = 4*b + 1. What are the prime factors of a(d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75727 and 164.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11073 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 9*t**2 - 12*t + 7. Let y be c(-5). Round y to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703047539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 498015 and 640305.\nAnswer: 4482135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7474)\/666 + (7 + -18)*-1.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.106 + -0.004. Sort 5, -1, g, -1\/5 in increasing order.\nAnswer: -1, -1\/5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + u = 451 - 393, 0 = 5*x - 5*u - 160. Solve a = 19*g - 20*g + 3, 0 = -5*a + x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65a93 (base 11) to base 14.\nAnswer: 26cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, v: 2, f: 1, b: 3, y: 3, s: 4}. Give prob of picking 1 b and 2 r.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 208 + 104. Suppose -3*g - 8 = -32. Calculate the remainder when c is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*s**3 + 53*s**2 + 10684.\nAnswer: -15*s**2 + 106*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 174*k + 718. Give p(-62).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 > 501\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 290 + -218. What is the greatest common divisor of z and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -615 by -24955.\nAnswer: 123\/4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 + 2*b - 3*b**2 + 3*b**2 + 2*b + 3*b**2. What are the prime factors of q(3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/50*20\/40 - 69\/75?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3*j**5\/40 - 7*j**4\/12 - 17*j**3\/12 - 3*j**2\/2 + 7*j + 8. Let i(s) be the first derivative of w(s). What is b in i(b) = 0?\nAnswer: -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + b - 16 = 2*n, n - 4*b + 12 = 0. What is the remainder when (-1 + 97)*(n\/8 + 1) is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**3\/6 + 6*o**2 - o - 18. Determine q(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36.41322*-1.35.\nAnswer: 49.157847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(304) + -4 + sqrt(304)).\nAnswer: -24 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 - 7 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 868 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-539)\/1716 + (-66)\/(-286)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 2, 3, -13113 in descending order.\nAnswer: 12, 3, 2, -13113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -2*d**7\/5 - d**4\/12 + 1340*d**3\/3 - 16*d**2 - 20*d. Find the second derivative of x(j) wrt j.\nAnswer: -1008*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5070 = 70*a - 234*a - 681*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -169. Calculate the remainder when 18 is divided by 6 + -3 + (0 - (-1 - v)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*a, 0*a - 228 = -m + 2*a. Calculate the remainder when 50 is divided by ((m + 0)\/(-7))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3*b**3 - 2*b**3 + 1)*(0*b - b + 3*b + (-4*b - 6*b + 11*b)*(1 + 3 + 3)).\nAnswer: 9*b**4 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2956039 and -0.2.\nAnswer: -2956039.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2149 less than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -1)*4 - 1*(0 + sqrt(7) - sqrt(7))**2.\nAnswer: -4 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 11:34 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -190, -197, -242, -337?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + s**2 - s**2)*(0 + 0 + s) + 0*s**3 - 5*s**3 + 4*s**3 + 63*s**3 - 29*s**3 - 32*s**3 - 8.\nAnswer: -s**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1454.7 - 1454.7073435. Round d to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169843 is divided by 326.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -52\/2106419 and 33\/2407336?\nAnswer: 16851352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32 and 591776.\nAnswer: 591776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2\/c)\/(c**(1\/4)\/c*c))\/(c**(1\/4))**9 assuming c is positive.\nAnswer: c**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2478*g = 4941*g - 2563*g + 2700 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Suppose 3*r = t*r. Suppose -m + 0*x + 4*x + 65 = r, 4*m - 317 = -3*x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6218 + 6263. What is the closest to z in -5, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 7*z + 11. Calculate the least common multiple of n(-6) and 2\/(-8) - 145\/(-20).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 499 - 291. Let t = s + -208.0089. Round t to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3114 divided by 1038.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -4*z**2 - 176*z - 60. Let k be s(-22). Solve -1 = -4*h + 5*h, 3*d - 3*h = k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 + 11*k**2 - 14*k - 20. Suppose 33*c - 35*c - 24 = 0. Let r be v(c). Suppose 3*m + 39 = 3*s, r*s + 0*m + 2*m = 52. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161854 = 800*o - 804*o + 5*p, 80920 = 2*o + p. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10*1*6\/(-12)*-5. Solve 5*c + p = -5*r, 4*c + 0*c + r = -11 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 7*c - 10. Calculate the smallest common multiple of 4 and x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 826243 is divided by 191.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a*a\/(a**(6\/5)\/a*a))\/a)*a**(-33)\/a*a assuming a is positive.\nAnswer: a**(-159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(486)*4)\/((-5*sqrt(81))\/(sqrt(300) - sqrt(300)*-2)).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 128645585?\nAnswer: -128645584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -12*d + 280, -d - 798*v + 1594*v = 795*v - 30 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i. Let r(g) = 4*g - 21. Give r(h) - v(h).\nAnswer: 14*h - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - q)*(9528*q - 9528*q + 156*q**4).\nAnswer: -156*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7781 - -12452. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - -0.6. Which is the second smallest value? (a) w (b) 0.2 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.788 + 2096927700\nAnswer: 2096927699.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-23 - (-14 - 1)) - -13.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2)*2*5 - (-2*sqrt(70)*2)\/sqrt(10))**2.\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o. Let w(j) = -708*j - 2. Determine w(z(v)).\nAnswer: -1416*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*p - 55, -2*y - 3*p + 6 = p. Let z(k) = 6*k - 5. What is the remainder when z(5) is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)*y*y)\/y**(2\/25)*y**(1\/3)\/(y**3*y)*(y**(-1\/3))**(-39)\/(y**(-6)*y*y**0) assuming y is positive.\nAnswer: y**(8383\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 225394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 518 and 14064588?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -824.5055 take away -100?\nAnswer: -724.5055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 4*r - r + (-306 + 92 - 120)*(-7*r + 0*r + r).\nAnswer: 2001*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 10, 24, 44, 70?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52320830117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 325847\nAnswer: 5\/325847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -322, 7582, -2 in descending order.\nAnswer: 7582, -2, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271*c**3 - 132*c**3 - 136*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 40.036 not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12898187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1104*p**4 + 1458 wrt p?\nAnswer: 4416*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30817, -30474, -30131, -29788?\nAnswer: -29445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + t + 43 = 3*z, 23 = z - 5*t. What is the highest common factor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(50)*-1 + (sqrt(3200) + sqrt(3200)*-1 - sqrt(50)) + sqrt(50))\/(sqrt(40)*-1*-6))**2.\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptup when four letters picked without replacement from dssputdsupuu?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 7*n**2 + 15*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/4? (a) 5 (b) 4\/3 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 18*p - 60 = 0, 2*y + 0*p = -y + 4*p - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = y + 2*w, -2*y + 4*w - 2*w + 2 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 631*r - 628*r - 180, -3*r - 9*y = 552 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z - 372*z = 1164 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = -5*k, 3*x = 3*k + 60. What is the smallest common multiple of x and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20559.09996 + 20566.1. Let i = r + -7. Round i to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.08 times 40980?\nAnswer: -208178.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49 - -53) + -17 - (-2 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 2425 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 27. Let q(a) = 7*a + 3180. Determine q(j(f)).\nAnswer: -14*f + 2991","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/3))**(-15)\/(b**(-6)*b*b\/b**(-2\/11)*b))**39 assuming b is positive.\nAnswer: b**(3354\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight sevenths of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1337 divided by -5\nAnswer: 1337\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*l = -92*l + 21. Suppose -3*i = 2*m - 200, 0*m - 5*m + 84 = i. Let u = 67 - i. Solve 31 = -5*h - u*w, h + 3*w = -l - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.6 (b) -2\/39 (c) 22 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -29*s - 22. Let a(t) = -7*t - 5. Let f(l) = 9*a(l) - 2*o(l). Let c = 7 - 10. Calculate f(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14959a10 + -2?\nAnswer: 14959a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-21) - (-23)\/7. Let d = x - 1. Solve -d*v + 3 = v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 g, and 1 l when four letters picked without replacement from {i: 7, g: 2, q: 6, l: 1, h: 3}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3379600 a multiple of 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 3*g**2 + 21*g + 68. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 305239\/34 - 8977. What is the common denominator of r and (2\/(-56))\/(-1)*-190?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c = 58*c + 77. Solve 0 = h + h - 5*g + 33, -2*h = 3*g - c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + -43. Let f = b - -108. Suppose f = 2*q + 2*q. Calculate the greatest common divisor of q and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 376?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*r**1)\/r))\/r*r)**1\/(r\/r**(-1\/13)*r*r**(-1\/15)*r) assuming r is positive.\nAnswer: r**(-587\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/80 - s**4\/8 + s**3\/2 + s**2\/2 - 9*s - 2. Let f(p) be the first derivative of l(p). Factor f(h).\nAnswer: 3*(h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 57351981?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 2328057?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1527.1 + -1462. Let i = v + -65. Let x = -136 + 1495\/11. What is the closest to i in -3, 1\/11, x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/6 - (-16 - (-14)\/2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40041243 (base 6) to base 5\nAnswer: -242001433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 148*m**3 + 277*m**2 - 3*m - 6. Let w(s) = 2*s**3 - s - 2. Let h(v) = -b(v) + 3*w(v). Find the third derivative of h(k) wrt k.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.0338\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 19 - (55 + 136 - 234)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + 9. Let q = w + -21. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + (sqrt(336)*-1 - sqrt(336)) + sqrt(336))\/sqrt(7)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 25 + -8 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -692, -1384, -2076?\n\"Answer: -692*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/49, -3, 6\/17, 0.046.\nAnswer: -3, 0.046, 4\/49, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20523552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.8, 2\/13 in increasing order.\nAnswer: -2, 2\/13, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10328344 divided by -376.\nAnswer: 27469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xtvtyotxt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 97.786 + -98. Let y = i + -1.786. Does 52 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 1\/24*w**3 - 95 - 3\/2*w - 1\/4*w**2. Factor c(x).\nAnswer: (x - 6)*(x + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 3*w**2 + 4. Let m(x) be the third derivative of -x**5\/60 + x**4\/8 + x**3\/6 - 4*x**2. Let h be m(4). Calculate b(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 30*b**2 + 64*b + 459. Let u be k(27). Let i be (6\/(-1))\/(-2) + 2. Suppose 4*f - i = -f. Solve -a - f = 0, -t + 3 + u = -4*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104 and 233246?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 4*u**2 + 4. Let q be y(3). Let h = 3 - 0. Let g be 271\/3 + 2\/h. What is the highest common divisor of g and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 53055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -1. Let b(m) = m**2 + 1. Let q(c) = 2*c**2 - c + 1. Let j(r) = -3*r**2 + r - 2. Let k(i) = 4*j(i) + 5*q(i). Calculate f*b(v) + k(v).\nAnswer: -v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16311634 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(56\/26) + 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 5*y - 0 - 5, 0 = -p - 5*y - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219086 > -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34407 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 314927 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-19)\/152 + (-10350)\/16. What is q rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -5*q + 3*y, -4*y = -2*q - 2*q + 140. Let a(d) = -12*d**3 - d**2 + d + 1. Calculate the remainder when q is divided by a(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.08 - -0.08. Let c = -47.72 - 0.28. Let r = 47.7 + c. Sort p, r, 3 in decreasing order.\nAnswer: 3, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(135\/24) - (1 - -1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646741297 to the power of 1\/2, to the nearest integer?\nAnswer: 25431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n - 23. Let d be k(6). Which is smaller: 2\/3 or d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 3*x**2 - 3*x - 3. Let u be o(4). What is the closest to u in 0.1, 5, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -h. Suppose 4*c - 12 + h = 0. Suppose 6*n + c = 5*n. Let s(y) = y**2 + 2*y - 2. Determine s(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*(-4 + sqrt(720) + 4 + 2) + 1) + 2)**2.\nAnswer: 576*sqrt(5) + 25936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12)*(-6)\/(-12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 1) + -5 + 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -488 (b) 4\/11 (c) 0.5 (d) 1\/5 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -11 (b) -5 (c) -2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - a**3 + 0*a)*(-28 - 7*a + 9*a - 194) as x*a + l*a**4 + i*a**2 + y + g*a**3 and give g.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/14, 3, -19 in ascending order.\nAnswer: -19, -1\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*3\/(-27))\/6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + b + 2072. Let c be 2 - (-2)\/5*b. Let k = c - -4061\/10. Calculate the common denominator of -107\/20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**1\/z)**(1\/17)*(((z\/z**(1\/2)*z)\/z)\/z)\/z**(-1)*((z*z\/(z*z**(-3\/7)*z))\/(z**(-1\/5)\/z))\/(z*z**1)**(-2\/43) assuming z is positive.\nAnswer: z**(116689\/51170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 + 99825*w + 199670.\nAnswer: -5*(w - 19967)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 40 = -0*q - 4*q, 0 = -2*l + 8. Is 8 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/(270\/(-4128))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -384082291*z**3 - 545313678 wrt z.\nAnswer: -1152246873*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46b69 (base 16) to base 11.\nAnswer: 188680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 + 191*q - 162. Determine v(26).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -67, -120, -187, -268?\n\"Answer: -7*z**2 - 18*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 1, k: 1, b: 2, x: 1, p: 1}. Give prob of sequence xsk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/72 and -25\/88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26281, -105192, -236715, -420844, -657573, -946896?\n\"Answer: i**3 - 26312*i**2 + 18*i + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602440.\nAnswer: 2, 5, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122463 - 5*h**3 + 122463 - 4*h**2 + 4*h**2.\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = d - 310, -3*z = -4*d + 367 - 128. Let p = 81 + z. What is the remainder when 29 is divided by (p\/(-14)*-2)\/((-9)\/(-63))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -328 - 4*q**2 + 328.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(48) - (sqrt(48) + 0))**2 - -5*(sqrt(42)\/sqrt(2))\/sqrt(7).\nAnswer: -5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*p**3 + 41*p**2 - 23*p - 184.\nAnswer: 702*p + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 788 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 3:52 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*h + 10 = 0, 53*h = 7*q + 50*h + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64265, 128516, 192767, 257018?\nAnswer: 321269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -62. What is the closest to 1 in t, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16944232667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 658 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3.4. Let s = 0.07 - -2.93. Which is the third smallest value? (a) t (b) -0.2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1694 + 1694. Let f = 24 + -22. Which is the closest to r? (a) -5 (b) -0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 28*h + 1464. Determine k(-54).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56736 (base 9) to base 12.\nAnswer: 19a43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -807.89\nAnswer: 48.4734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5562 - 0.1562. What is the third smallest value in -1\/5, -0.02, 190, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 5*x - 7. Let l = -27 + 33. Calculate k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*w + 1, -w - 2*j - 2 = -3*j. Suppose -24 = -15*l + w*l. Solve -z + 0*r + 10 = 4*r, r = 2*z - l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5322 + 0.9322. Which is the biggest value? (a) t (b) 7.3 (c) 0.6 (d) -3 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*q - 136 = 0, 0*j - 4*j - 136 = 5*q. Let x = j - -41. Let h be x\/42*(-5 - -2). Put 2\/11, h, -3\/7, -2\/7 in decreasing order.\nAnswer: 2\/11, -2\/7, -3\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -7*o + 49, 59*w + o = 64*w - 31 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 15*l**2 - l + 9. Let f be r(15). Let a(b) = b**2 + 6*b + 3. Let s be a(f). Is 381\/s*(-3)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89, 365, 831, 1493, 2357, 3429?\n\"Answer: q**3 + 89*q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -56, -103?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {r: 3, k: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**2 - 5054*g + 1264 = 0. What is g?\nAnswer: -632, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2252128 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 2, 7 in decreasing order.\nAnswer: 7, 2, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 45*u - 26 = 50*u + 52, 36 = 2*l - u for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 + 4)*(-13)\/3. Let w = k - 11. Suppose 0*n - 16 = -4*n. Calculate the remainder when n is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j = 2*f + 49*j - 42, j = -2*f + 2. Suppose -16 = -2*n - 4*t, -5*t + 2*t + 11 = n. What is the biggest value in n, -0.06, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 + 11*z - 2*z**2 - 3*z**2 + 8*z**3 + 16 - 5. Let y(o) = 3*o**3 - 4*o**2 + 4*o + 4. Suppose -4*b = -18 - 26. Give b*y(p) - 4*f(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*y - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.038, -32\/7, -0.007?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from wwfewsweswweessfzwez?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 7:44 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 82.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/(-21) - 39\/(-91). What is the smallest value in 4, -2\/9, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1285190 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 100 - 95. Suppose h*b - 24 = 4*z, 1 + 6 = b - 3*z. Solve -a + b = -0*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7526 and 25643096?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 4 (b) -0.4 (c) 0.2 (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -1. Let v = -116\/135 - -7\/27. What is the closest to g in 0.2, -3, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -43285*q + 7. Let r be g(3). Let c = -34195 - r. Suppose 2*w = 11104347 + c. What is w rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let f(a) = -7*a - 3. Let g(s) = 2*f(s) + 4*r(s). Is 9 a factor of g(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/(-44)*1\/7.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (21\/(-9))\/((-9)\/8505)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1246013 + -1246013.03000076. Let f = -5.97 + 6. Let n = f + s. Round n to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:32 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 9 = 2*h, -3285*g = -3287*g + 2*h + 12 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n + 20. Let c be d(-9). Let m = c - 47. What is the greatest common divisor of m and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52277 to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*v - 2, 1 + 4 = -2*w - 3*v. Solve 0 = -5*y - w*z - 3*z - 20, 2*y + 8 = -z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-3267)*-18*55\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -650*y. Let x(i) = -45*i - 3. Calculate m(x(k)).\nAnswer: 29250*k + 1950","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**6\/12 + 253*q**5\/8 - 1275*q**4\/8 + 3835*q**3\/12 - 320*q**2 - 7937*q. Determine a, given that i(a) = 0.\nAnswer: -256, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.97 - -6.91. What is a rounded to 1 dp?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67*0.0148\nAnswer: -0.9916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12094*f - 67900 = -7244*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 11*c - 6. Let w be l(10). Suppose 3*y = 9, -42 = -5*g - w*y - 5. Let f be -2 - -6 - 2\/2. Solve -f*j + g + 10 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*m + 74, 2*h - 5*h - 5*m = -36. Suppose -675 = 8*p - h*p. What is the least common multiple of 9 and p?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 104. Let r be 21 - (-2 + 4 + 2). Suppose -o + r = -p. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40592 + 90121. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -28495, -28452, -28329, -28084, -27675, -27060?\n\"Answer: 7*d**3 - 2*d**2 - 28500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 102\/(5\/10 + -2). Let o = 68 + u. Solve -2*r = -r - o*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*q + 3 - 1641 = 4*q. Solve 4*k + q = -10*x + 5*x, -k = 2*x + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-14)\/56*18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 20 = 116. Let o = 7 + y. List the prime factors of o.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11959, -2, 0.03.\nAnswer: -11959, -2, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 83681 - -5?\nAnswer: 83686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s + 11. Let g(v) = 2*v**2 - 31*v + 94. Let d be g(11). Calculate z(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtatooidd. Give prob of picking 2 t and 1 o.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.98 + -0.02. Let d = -5.208989 - 0.7910118. Let j = u - d. What is j rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-13)\/(-2))*(-8)\/(-3). Is (-4)\/16 - 759\/u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 349, 350, 351, 352, 353?\n\"Answer: u + 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143589733528081 - 5?\nAnswer: -1143589733528086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633024022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 712175?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134*(-171)\/(-18)*(-1 + 1 + 9) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1. Let h = -128972\/9 - -14330. What is the nearest to h in o, 4, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-104)\/14 - (3 + -5) and 95\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:55 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27049?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 496679 < 496795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of 0*l + 11\/12*l**4 + 10\/3*l**3 + 23\/2*l**2 - 27. Let g(h) be the second derivative of z(h). Differentiate g(q) wrt q.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 576*w**3 + 277*w**2 - 1363*w - 2. What are the prime factors of k(5)?\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43190\/(-28)*8\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 + -10 + 8)\/(-1)*93\/6 and -39\/722.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 25. Let j = 6.6 + h. Let t = -0.085 + 0.065. Which is the nearest to -1\/3? (a) 4\/7 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*r + 1824 = -33*r. Let s = r - -506. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17373.8 + -17374. Which is the closest to -331? (a) 3 (b) -2\/15 (c) h (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2780 divided by -1.\nAnswer: -2780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14716, 14664, 14468, 14056, 13356, 12296, 10804?\nAnswer: 8808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*k**3*w**2 + 440*k**3*w + k**3 - k*w**2 - k*w - 12136*k wrt k.\nAnswer: -36*k*w**2 + 2640*k*w + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/16 + (-210)\/(-40). Which is the fourth smallest value? (a) -5\/67 (b) -2\/11 (c) z (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -261*w - 30. Let d be s(-6). Let p = -954 + d. List the prime factors of p.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s + 20 = 0. Suppose -16 = 3*p - 34771*x + 34773*x, -2*p = 4*x + 32. Put p, s, 15 in increasing order.\nAnswer: s, p, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -26*j**5\/15 + 91*j**3\/6 + j**2 - 9*j. Differentiate h(y) wrt y.\nAnswer: -208*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29504 is divided by 102?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -234324?\nAnswer: -234323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*244\/(-72) + 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -36, -118, -288, -576, -1012, -1626, -2448?\nAnswer: -3508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13539251153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**3\/2 - 10*w. Let o(c) be the second derivative of 0*c**2 + 7*c + 1\/2*c**3 + 0. Give m(o(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssfssfffsssfff. Give prob of picking 2 f and 2 s.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15108 + 31572. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*u = -2 + 3, 0 = q + u - 9. Suppose p + 17 = -2*t - t, -3*t - 15 = 0. Let m = q - p. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43369 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -25. Suppose 5*s - 30 = -3*d - 0*d, q = 3*s - 3*d. Let k be s*-3*(-3)\/30. Is 3 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 191*i - 2 - 870*i - 23388*i**2 + 23382*i**2 as c + h*i**2 + o*i and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*j + 5*j - 5040 = -15*j + 334*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 3*u = 7*r + 9, -3*r = 3*u - 12. Solve 0 = -r*d + p + 16, 2*p - 7*p = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 998*0.2\nAnswer: 199.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 81. Solve p = n*l + 13, 2 = -4*p - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/1)\/(4 + -3). Suppose 5*w = -5, 2*w = r*c + 2*c + 118. Let b = -15 - c. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 205031 from 3.092.\nAnswer: -205027.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4319 divided by -6.\nAnswer: 4319\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, n: 3, i: 3}. Give prob of sequence in.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(168)\/(2*sqrt(6)) + sqrt(56)\/(sqrt(8)\/sqrt(4)))*2 - ((sqrt(252)*-1 - sqrt(252) - sqrt(252))*1)\/(sqrt(324) - (sqrt(324)*-2 - sqrt(324)))))**2.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/11)*n)\/(n*(n*n*n**36*n)\/n*n)*n*n*n**(-1\/18)\/n*n*n**(-1\/8))**(-2\/15) assuming n is positive.\nAnswer: n**(29303\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 965, 2223, 4003, 6311, 9153, 12535, 16463?\nAnswer: 20943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 170?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39\/819*-21*-1*(-1)\/(-1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 85 - 49 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4051046 and 24682.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34306263 and 2022.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (22 - 69 - -21)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 2. Let k be x(-3). Suppose -k*q = -6 + 1. Suppose -2*n = -5*a + 16, -3*n - q = 2*a + 4. Solve a*c + 3 = 4*i - 5, 3*i = 3*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -7. Let a be i + 0\/((-6)\/(-2)). Find the second derivative of 0*d + 0*d + 4*d**5 - a*d wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x + 152 = 312 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/541114 and 21\/32?\nAnswer: 8657824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 1:20 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.60572 to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12209*0.233.\nAnswer: 2844.697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, 562.\nAnswer: -2, -2\/5, 562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 9) in base 7?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 262309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((8\/(-1))\/120)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 874*t - 17476. Let q be v(20). Suppose -2*p + 7 + 5 = 0. Let j be 4\/p + 10\/3. Solve -j*m + z + 13 - 2 = 0, -4 = 4*m - q*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**9\/9072 + a**8\/1260 + a**7\/840 - a**6\/270 - a**5\/90 - 9*a**3 - 22. Let q(b) be the third derivative of f(b). Factor q(i).\nAnswer: i*(i - 1)*(i + 1)*(i + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 80243.\nAnswer: 2\/80243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/4 (b) -13 (c) -3 (d) -0.5 (e) 2\/1065 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/33 - (-46791)\/252450. Let p = 1721\/5950 - d. Factor 4\/7*m**2 + 2\/7*m**3 + p*m + 0.\nAnswer: 2*m*(m + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 4 - 10 + 18 + 3*r - 5 - 1. Let g(b) = 8*b**2. Determine g(a(p)).\nAnswer: 72*p**2 + 288*p + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5771474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53\/4 - 249\/20. Let u = 72\/259 + 2\/259. What is the fourth smallest value in 1\/3, 4, u, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2. Let l(n) = -n - 5. Let s(a) = 5*g(a) + 2*l(a). Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4709\/(-942) - (-52 + 47). Let k be 1 - (10*12\/30 + -4). Is k at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -107 + 126. Suppose s = -5*g + 44, -z = -3*g + 10. Solve 0 = -p - 0*m - 2*m + 12, 0 = z*m - 25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2056\/(-4576) - 12\/(-22))*(-36)\/30.\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*v, -5*i + i = -v - 1238. List the prime factors of i.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/1561? (a) 0 (b) -1\/7 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 315 - 1574613?\nAnswer: -1574276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 4, e: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 8}. What is prob of sequence hhee?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p. Let g be a(-1). Suppose -g*j = -j - 3. Suppose 3*v - 4*f - 2 = 2, -3*v + 6 = -j*f. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -33. Suppose -4 = -4*h - 4*g, h + 0*g = -k*g - 5. Solve 0 = 3*z - h - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 4)*(2 - 2 + 1) - 3 + 7 - 3)*(-3*s**2 + 3*s**2 + 2*s**3 + (2 - s**2 - 2)*(2 - 2 - 2*s) + 2*s**3 - s**3 + 0*s**3).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:55 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564869913 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - y**5 - 4*y**5 + 3*y**5 + (2*y**4 + y**4 - y**4)*(-2 + 2 + 3*y) + y**5 + 2*y**5 - 4*y**5.\nAnswer: 3*y**5 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.87 + 0.42. Let t = y + 0.461. Let x = 0.511 - t. Which is the third biggest value? (a) x (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20457.32437 rounded to the nearest 100?\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 4, m: 7}. Give prob of picking 1 i and 3 m.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, y: 2, h: 2, s: 1}. Give prob of picking 1 y and 1 h.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.95 - 7. Let p = k - -0.05. Let n = -0.17 + -0.03. Which is the nearest to n? (a) p (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43962.1 litres to millilitres.\nAnswer: 43962100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2002*i**2 - i + 673*i**2 + i + 375*i**2 in the form x*i + q + p*i**2 and give p.\nAnswer: 3050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017467748 rounded to six dps?\nAnswer: -0.001747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s = -8. Sort -5, -1, s, 0.\nAnswer: -5, -1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-3) - (0 + 2). Let x = 7 - v. Does 14 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/(3*1\/6). Let o be (s\/(-1))\/(-1 - (-284)\/280). Suppose v - 35 = -3*m, 0*v - 40 = -v - 4*m. What is the greatest common factor of o and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*c = -25, -112*c = -16*a - 117*c + 19 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 1903 = 1139. Calculate the highest common factor of 36 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 1223?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + 268. Let w(r) = r**3 + 11*r**2 + 9*r - 8. Let y be w(-10). Suppose -y*n + 7*n - l = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-29 - -23)\/(((-6)\/(-12))\/((-1)\/6)). What is the greatest common factor of 1220 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102682273339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 17 + 27. Let j be (-9 + 5)\/(-2)*(-2)\/(-2). Suppose -3*c = -j*b - 11 - f, 4*b = -c + 37. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, b: 4, q: 4}. What is prob of sequence lqqq?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**7\/1995 - f**6\/285 - f**5\/95 - f**4\/57 - f**3\/57 - 9*f**2. What is r in k(r) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**3 + 6*y**2 - 7. Let p be (-2 + 1)*2*14\/(-4). Let o(f) = 2*f**3 + 4*f**2 - 5. Calculate p*o(g) - 5*d(g).\nAnswer: -g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 2*c - 4*c + (3*c + c - 2*c)*(4 - 4 - 2) - 2*c + 1 - 1 + 6*c - 5*c + 9*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 15f2f4 (base 16) to base 7\nAnswer: 15140511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2247, 2255, 2275, 2313, 2375, 2467, 2595, 2765?\n\"Answer: t**3 + t + 2245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 5*z**2 - z - 4. Suppose -75 = -23*o + 38*o. Give y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41144 (base 5) in base 9?\nAnswer: -3601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4958 + -4966. What is the smallest value in -97, 3, v?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021083274 rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*p**3 - 6*p**3 + 291*p**3 - 87*p**3 + 147*p**3.\nAnswer: 672*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*1) + 3*((sqrt(19) - sqrt(475)) + sqrt(19) + sqrt(19)).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r**2. Suppose 0 = -5*w - 207 + 207. Let y(f) be the second derivative of -4*f + 0 + 1\/3*f**3 + w*f**2. Determine y(t(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6181.58 centuries to years.\nAnswer: 618158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 0.1 (b) 1\/3 (c) 0.5 (d) 3\/2 (e) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b - 8. Let c(q) = -62*q + 190. Let j(n) = -25*n + 76. Let t(y) = 5*c(y) - 12*j(y). Let z(h) = -14*o(h) - 3*t(h). Determine z(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 j, and 1 g when three letters picked without replacement from ngjgqqtnjjnnqjnnt.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6140*d*m**3 - 3*d*m**2 + d*m + 236009 wrt m.\nAnswer: -36840*d*m - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 4, -0.4, -30, 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 19*y + 32. Let c be f(17). Let s be c\/(-1)*9\/54. What is the third biggest value in 0.2, -1, -3\/5, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333889 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and (12\/(-10))\/((-9)\/2235)?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 - 12148*y - 60640 = 0. Calculate y.\nAnswer: -3032, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3 - i**2 - 5*i + 11. Let y(u) = -3*u**3 + u**2 + 3*u - 6. What is 3*r(j) + 5*y(j)?\nAnswer: 3*j**3 + 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*k + 730 = 0, -1492 = -2*s - 2*s - 4*k. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15028251 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -5*a - 40, 5*a - 2*x - 17 + 45 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -55. Suppose -k*g - 24 = -9. Sort g, 1, 5, -4 in descending order.\nAnswer: 5, 1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*o**2 + 85*o**2 - 53*o**2 + 1 - 1 + 2*o**2 + o**2 - o**2 + o**2 + (o + 4*o - 3*o)*(0 - 2*o + 0) + 6*o**2 - 12*o**2 - 7*o**2.\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*r - 14 = -3*c, r = 2*c - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 24\/7 (c) -0.3 (d) -13 (e) 0 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 981 minus 10533.804?\nAnswer: -9552.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 601973154.\nAnswer: 2, 3, 463, 24077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396)\/(sqrt(11) + sqrt(99)))\/(sqrt(12) + sqrt(432) + sqrt(432) + (sqrt(432) - (-1*sqrt(432) - sqrt(432))) - (sqrt(972)*1 - sqrt(12))).\nAnswer: -sqrt(3)\/92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2684268 in -1\/14, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54820.72 nanoseconds in milliseconds?\nAnswer: 0.05482072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 1, v: 2, h: 4, n: 2}. What is prob of picking 1 n, 1 v, and 2 h?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(44)\/sqrt(4) - (sqrt(11) + -1 + sqrt(11) + -5)**2.\nAnswer: -80 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.48 and -0.2?\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.016 + 0.484. Let v = -0.13 - 0.07. What is the closest to v in r, -1\/3, -1\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 + -101. Solve 7 = -d + 4*d + 2*s, -d + 3*s = i for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4469, 6383, 8297, 10211, 12125?\n\"Answer: 1914*n + 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + 51. Let o = 2 + a. Suppose -d - o*q = -135, 5*d + 2*q - 3*q = 675. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*q**3 - 984933*q + 28412727.\nAnswer: 246*q**2 - 984933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(128) - sqrt(128)) - sqrt(128) - (sqrt(128) + 4 + -4))*1.\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/24)\/((-10)\/(-45)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-11 - -10) - -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 3*g + 14. Suppose -9*y + 36 + 9 = 0. Let s be t(y). Is 4\/s - (-5 + 1798\/(-26)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**3 + 12*h**2 + 6*h - 26. Let a(k) = 2*k**3 - 8*k**2 - 4*k + 17. Let d(b) = -8*a(b) - 5*p(b). Let x be d(4). Solve t - 5 = x*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8947 + -8946.999995457. Round b to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024 is divided by 80?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15374, 2, -22.\nAnswer: -15374, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 150555517 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-8 - (0 + -1 - (-49 - -54))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 896125\/242 - 3703. What is the closest to -3 in z, -0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = -275. Let b = -3577\/13 + r. Sort b, 0.4, 0.5 in ascending order.\nAnswer: b, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 199 = -3*v. Let m = 111 + v. Let t = 350 - m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.12 + 8.12. Suppose -5*r + 9 = -6. What is the nearest to -1 in p, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 152 + -152.2. Let p be 1 - (-1)\/(-5 - 0). Which is the nearest to 2\/7? (a) i (b) p (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o**(-3)*o*o)*(o*o\/o**(11\/2)*o)\/o assuming o is positive.\nAnswer: o**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 take away 1352624932?\nAnswer: -1352625117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 + 12*j - 14*j + 3*j - 9*j**2 - 19 to the form q*j + u + t*j**2 and give u.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -u**7\/420 + u**6\/120 + u**5\/120 - u**4\/24 + 8*u**2 + 10*u. Let v(r) be the first derivative of f(r). Factor v(b).\nAnswer: -b*(b - 2)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21112959031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bebbe?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*z + 8, 2*r - 4*z + 4 = 1 - 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -3 - -85) + 28 + 12 + -56\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 2. Let r(c) = 3*c**2 - 192*c + 198. Let x(v) = -3*n(v) - r(v). Factor x(o).\nAnswer: -3*(o - 64)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkg when three letters picked without replacement from {j: 1, k: 3, h: 6, f: 2, g: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2252065?\nAnswer: 5, 450413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 + -35. Let c = 67787 - 67787. What is the closest to 2\/3 in s, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/(2\/36).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**3 + 6*k**2 + 11. Let p(x) = -x**3 - 2*x**2 - 1. What is 3*p(n) + w(n)?\nAnswer: 3*n**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of -j**4\/12 + 8*j**3\/3 + 5*j**2 + 28*j. Calculate the remainder when n(8) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 17) + 6 + 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert a28892 (base 15) to base 9.\nAnswer: 15472222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/25 (b) 4\/3 (c) 9 (d) 4 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4613*-0.03219.\nAnswer: -148.49247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - 0) + (-195 - -183) - -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1205297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 451 - 457 = -3*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.51 - -4. Let r = -0.08 + x. Let z = 0.09 + r. What is the closest to 0.1 in z, -1, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -511 + 566. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*z = 245, -2*c - 35*z + 98 = -36*z. Calculate the highest common divisor of c and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 18, -8, 5 in decreasing order.\nAnswer: 18, 5, 3, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13216217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 2 - 5)*(-2 + 4 - 4)*(5*o - 2*o - 2*o)*(8*o + o + 4*o)*(0 + 3 + 0) in the form u + w*o**2 + l*o and give w.\nAnswer: 2496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*o**4 + 5*o**4 - 2*o**4 + (5*o - o - 2*o)*(5*o**2 - 4*o**2 + o**2)*(1 + 7 - 6)*(-4 + 4 - 2*o) to k*o**3 + b*o**4 + h + w*o**2 + q*o and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a millimeter in micrometers?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 90, 179, 268?\n\"Answer: 89*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2\/7, 2801719?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(-4)*-34*(8 - 4). Suppose -4*o - 20 = 0, o - 2*o + x = 3*t. What are the prime factors of t?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 263841, 527681, 791521, 1055361?\n\"Answer: 263840*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-4)*q\/((q\/((q*q*q*q**(2\/7))\/q*q))\/q*q)*q assuming q is positive.\nAnswer: q**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 30. Suppose -5*r + 14 = 4*h, 4*r + 6 - j = -3*h. Factor -2*p + 0*p**2 + 4*p + 3 - 4 - p**r.\nAnswer: -(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 747196 to the power of 1\/2, to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-16)\/180)\/((-33)\/2376*16))\/(4\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16\/13 + 41\/65. What is the closest to -1\/2 in d, 2\/11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66495\/1069 <= -63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 337 + -366. Let x be s\/(-6) - (-30)\/(-36). Let z(v) = -3*v + 2. Let y(a) = 1 + 0*a - 3 + 2*a. Give x*y(p) + 3*z(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*a + 40*a + 586 = -250 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 divided by -2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(22)\/(sqrt(10)\/sqrt(5)))**2 - sqrt(22)\/(sqrt(2) + sqrt(8)) - (-5 + 6*sqrt(110)\/sqrt(10))) + 4)*-4.\nAnswer: -80 + 76*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*i*y**2 + a*i + 2*a*y**3 - a*y**2 - 762*a*y + 491570*i*y**3 - 9*i*y + 9*i - 6*y**3 wrt y?\nAnswer: 12*a + 2949420*i - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u**3 - 2*u - 1. Let s(d) = -16*d**3 + 2*d**2 + 11*d + 7. Give 2*s(n) + 11*t(n).\nAnswer: n**3 + 4*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 168*k - 42*k - 38*k - 99*k. Determine q(-6).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*x + 31*x = -30 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189934.\nAnswer: 2, 227, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - (-78)\/(-12)) + 2\/(-4). Let o be 3 + (3 - b)*(0 - -7). What is the third derivative of 76*r**2 + o*r**4 - 6*r**4 - 58*r**2 wrt r?\nAnswer: 600*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 10:00 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2313.46 + -2308.46. Let j = 0.1 + -0.2. Which is the fourth smallest value? (a) j (b) 9 (c) 4 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*u + 2*n + 12, 0 = 2*u + 3*n + 15. Let g be 2\/u*3\/4*-268. Let j = 227 - g. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + -61 + -29 + 104?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*c**2 - 197*c**2 + 417*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1254 divided by -52551.\nAnswer: 418\/17517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-715)\/(-3) - 5\/15. Let n be -2 + 1 + (3 - -2). Suppose -z + 119 = -2*j, -n*z + 2*z + d = j. Round z to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8934682.\nAnswer: 2, 163, 27407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 3*g + 1. Let y(o) = 3*o + 23. Suppose -5*k + 2*k - 21 = 0. Let p be y(k). What is a(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -11. Suppose s*m = 7*m. Suppose -w + 11 = -m*w. Calculate the remainder when 43 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 9. Let l = 21 - 11. Let w = -7 + l. Solve -j + 2*j - 10 = w*k, -s*k = -j + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -2 + 4)\/(-2). Let q(j) = -7*j**2 + j + 3. Let h(u) = 15*u**2 - 2*u - 7. Let p(d) = -6*h(d) - 13*q(d). Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 8 + 0)*(2 - 3 + 0)*(-2*k - 4*k + 4*k - 1)*(-2 - 6 + 3) in the form c*k + d and give c.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1431 = -m, -13*m + 11*m = -3*z - 1440. Let f = -476 - z. Solve 0 = -a + f*i - 8, 5*a - 3*i - i = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24.9 equal to -1.682114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2764*y**4 - 1531*y**4 + 36*y + 6 + 19*y wrt y.\nAnswer: 14796*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 + 2*j**3 + 0*j**3)*(0 + 0 + 2)*(1 + 1 - 3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6c212 (base 14) in base 3?\nAnswer: 111101220120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125037.\nAnswer: 3, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6732 and 11220?\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-216)\/(-48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -3.97. Let t = 5 - 1. What is the third smallest value in i, 0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*x + 20408 = 18130 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019989718 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(0 - (-6)\/33)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**31)**(2\/3)\/(m**(1\/4)\/m)**(13\/5))**(2\/13) assuming m is positive.\nAnswer: m**(1357\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 144?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -d**4\/8 + d**2 + d. Let u(l) = 11*l + 0*l + 27*l. Calculate u(o(v)).\nAnswer: -114*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -222*y + 4038. Determine z(19).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2 + sqrt(1216) + -1 - sqrt(1216))*-3)**2 + -4 + (sqrt(1216)*-1 + -3 + sqrt(1216))**2 + 3.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l - 4. Let o be z(-3). Let r be o*(-5)\/((-25)\/2). What is the third derivative of -7*n**5 + 12*n**r - 5*n**5 + 0*n**5 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -5*x + 180. Suppose -m = x - 84. List the prime factors of m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53595787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0192 + -0.024. Round t to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 43780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (-5 + 3 - -895216). Let b = j - 2265213. Round b to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h + 6. Let i be n(1). Suppose i = 2*m - 4. Calculate the greatest common divisor of 1 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 + y**3 - 4*y**3 + (2342 - 2342 + 270*y)*(y**2 - 4*y**2 + 0*y**2) - y**3 + y**3 - 2*y**3.\nAnswer: -811*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/(-50))\/(1\/10). Suppose m*h = 87 - 27. Let g be 25\/h*6\/45. Which is the nearest to -1\/2? (a) -0.3 (b) g (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4354623?\nAnswer: 3, 7, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 48438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or -0.0260196?\nAnswer: -0.0260196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10694)\/(-22) + (-4)\/44?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 - -0.3100029. Round l to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + (-2*sqrt(2448) - sqrt(2448))**2 + sqrt(2448)).\nAnswer: 48*sqrt(17) + 88120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618 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: How many minutes are there between 5:12 AM and 2:58 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/11)*c**0\/c assuming c is positive.\nAnswer: c**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 0 = 0. Let b be (-35)\/15*-9*m. What is the highest common factor of b and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w. Let a(p) = -p - 1. Let k = 11 - 15. Let q(j) = -3*j - 4. Let f(z) = k*a(z) + q(z). Give g(f(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 12\/18*-6 + 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.3 + 5. Let r be 10538\/(-479) + (-325)\/(-15). What is the closest to 0.2 in -0.13, r, h?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let f be j(-3). Let g(o) = 5*o**2 - 8*o + 6. Let n(z) = -11*z**2 + 16*z - 13. Let k(i) = f*n(i) - 9*g(i). Determine k(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 144. Let r(d) = d**3 - 6*d**2 + 3*d + 20. Is 6 a factor of r(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 123168 less than 123165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4321053?\nAnswer: 3, 11, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9486467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18492)\/(-782) + -1 + (-207)\/(-153).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose 6*p = z*p + 6. Which is the third smallest value? (a) 1 (b) 0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*c**2 + 2*c**3 + 4*c + 7*c**2 as f*c**3 + d*c**2 + u*c + a and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1392*t - 72380. What is k(52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 3\/2*x**2 + 3\/2*x - 6 + 1\/2*x**3. Determine w, given that z(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -421.86 to the nearest ten.\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -7.1. Let z = -1145\/9 + 127. What is the nearest to j in -4, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k = -2*j - k - 3, 3*j - 15 = 5*k for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.24 + -0.74. What is the closest to -0.1 in 2, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(30)*-1)\/sqrt(6) + -3*sqrt(25)\/sqrt(5))**2.\nAnswer: -24*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaakkzzbgbzbb. Give prob of sequence abk.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 43. Let t = 52 + a. Solve d + 3*d + t = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (-1344)\/(-91) + (-57)\/(-247). Solve 10*x = 5*x - t, -2*x - 33 = 5*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 94*w**2 + 3 + 96*w**2 + 6 + 8*w**3 in the form y + j*w**2 + l*w + v*w**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m - 9. Does 23 divide (-239)\/(-5) + m\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25125 and 16750?\nAnswer: 50250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 14 + 7)*(q**3 - 19*q**2 + 38*q**2 - q - 18*q**2).\nAnswer: 53*q**3 + 53*q**2 - 53*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26124 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5759020 >= 5759012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(190)\/(sqrt(40) + sqrt(10)))**2 + sqrt(76)\/sqrt(4)*6).\nAnswer: 19\/9 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240 and 552?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623.896 millilitres in litres?\nAnswer: 1.623896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3647575 + -21113638\/5. Let t = p + 571498. Let n = t - -402491\/110. Calculate the common denominator of -97\/16 and n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.2 - -3.1. Let p = k - 2.9. Let q be ((-6)\/(-21))\/((-1)\/2). Which is bigger: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 22.96248 hours?\nAnswer: 0.95677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x - 15 = 52*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1155 is divided by 145?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-18)\/c)\/c)\/c)**(-6\/7)\/((c\/(c*c**(1\/18)))\/(c**4\/c)))**(-27) assuming c is positive.\nAnswer: c**(-1137\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4087*n - 1206*n - 2864*n.\nAnswer: 17*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -932576 divided by -151?\nAnswer: 6176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -345 + 347. What is the remainder when 30 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**8\/2016 + l**7\/630 - l**5\/180 + l**4\/144 + 14*l**2 + 15. Let v(k) be the second derivative of x(k). Factor v(c).\nAnswer: -c*(c - 1)**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21021)\/15015 + (-231)\/5*-2\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + (0 + sqrt(1008))*-1)**2)*-5.\nAnswer: -5085 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 56. Let v be 0 + ((-8)\/(-2))\/k. Let g(q) = -15*q. Calculate g(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78941835100 to the nearest one million.\nAnswer: -78942000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 7*i - 7. Let q be w(5). Let m = q - 10. Let b(j) = -j**2 - 10*j - 9. What is the tens digit of b(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + r + b = -13, 23 = -4*r - b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4025\/28 - (-6)\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5188111, 20752464, 46693051, 83009872, 129702927?\n\"Answer: 5188117*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j. Let z(y) = -3*y**2 + 3*y - 3. Give f(z(t)).\nAnswer: 9*t**2 - 9*t + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 12. Suppose -2 = -q*v - 8, -192 = -5*j + v. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5, 4*w + t - 75 = 30. Let m be 10\/(-4)*8\/(-10). Solve m*y + 3*y = w for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/1)\/(30\/28*(-53592)\/(-6960))\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {s: 2, b: 1, i: 1, g: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + ((sqrt(1088) - (sqrt(1088) - (sqrt(1088) + (sqrt(1088) + -1 + 5 - sqrt(1088)) + sqrt(1088)))) + -2*(sqrt(1088) + -1) + 5 + -1)**2 + 3).\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4\/7 - 5758*m**3\/7 + 103018*m**2\/7 - 62738*m\/7 - 583644\/7 = 0. What is m?\nAnswer: -2, 3, 17, 2861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22321358 and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000660963 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 622245046 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 51*t + 1 - 52*t)*(5*t - t - 18*t) in the form z*t + b*t**2 + j and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 62 + 3*i**2 - 2*i + 58 + i**2. Let w = 3 + 1. Let k(r) = r**3 + 3*r**2 - r - 3. Determine w*k(h) - 3*b(h).\nAnswer: h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + 0) - 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16511*i + 22634 wrt i?\nAnswer: -16511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 525*s - 494*s + 310. Let u be -6 - s - (-18)\/(-5). Factor -u*m**3 - 12\/5*m + 2*m**2 + 0.\nAnswer: -2*m*(m - 3)*(m - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*u - 205, -3*i = -7*i + 2*u + 162. Suppose 11*r - i = 127. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -41*x - 47. What are the prime factors of s(-9)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -142, -241, -350, -475, -622?\n\"Answer: -c**3 + c**2 - 95*c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 43 + 24 = -w, -3*w = -5*p + 339. Let z = -58 + p. Solve -x + z = 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -z + 2*z - 7, 4*z - 2 = -y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -q**3\/3 - 23. Let a(n) = 12*n. What is a(g(j))?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193*a**2 + 351*a + 95*a**2 + 16 - 16 - 909*a wrt a.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4 - 6 + 3 + 2 + (-3 - 4 + 5)*(-3 + 1 + 1))*(-2 + 2 - 2)*(7*o + 446*o + 237*o).\nAnswer: -2760*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 313\/2289 - -2\/327. Let w be 35\/(-25) + 3 + -2. What is the smallest value in j, w, -1\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 52, 65, 62, 37, -16, -103?\n\"Answer: -m**3 + m**2 + 27*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 3 - 0) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -44*w**2 + 14. Let r(h) = -h**2 - 2. What is -5*r(m) - t(m)?\nAnswer: 49*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + -2 + 0 + 0. Let l(i) = 529*i**3 + 6*i**2 - 4*i - 6. Let s be l(k). Is (-2)\/(-7) - s\/147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -694, -1553, -2756, -4303, -6194?\nAnswer: -8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12323 + -11?\nAnswer: -12334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14013866.\nAnswer: 2, 7006933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62.5 - -62. Which is the second smallest value? (a) 5 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(-3 + j**3 + 3) - j**3 - 11 + 11 + (-2 - 2 + 3)*(0*j**2 + 0*j**2 + 2*j**3).\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 415 = 3*f - 413, -7 = 3*f + 2*g for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 7*m**8\/1440 - m**7\/135 + m**6\/270 + m**4\/6 - m. Let g(q) be the third derivative of n(q). Factor g(p).\nAnswer: 2*p*(7*p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11c31c (base 14) to base 13.\nAnswer: 184724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-1*1))\/((-5)\/15). Let s = -22 - d. Find q such that 16*q**2 - 5*q + 0*q**s - 11*q**2 - 10 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8687 or 8724?\nAnswer: 8687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 164*l - 164. Let s be j(1). Sort s, 29, 1, -2 in descending order.\nAnswer: 29, 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2186640 is divided by 78094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -179, -293, -407, -521, -635, -749?\n\"Answer: -114*g - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6651151 + -4?\nAnswer: 6651147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-7)*2\/28.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {s: 2, f: 8}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5470067 and 3422?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/80*(-25)\/10*2\/16.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42095*a - 42310*a = 3870 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + 0*a**3 + 0*a**3 + (-2*a + 2*a - a)*(a**2 + 2 - 2) - 3*a**2 + 3*a**2 + a**3 - 4*a**3 + 0*a**3 + a**3 - 5*a**3 + 3*a**3 + 8*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/4 - 59*i**2 - 465*i\/4 + 351\/2.\nAnswer: -(i - 1)*(i + 3)*(i + 234)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 258*m**2 + 2*m + 184. Let r(h) = 258*h**2 + 3*h + 184. Let y(o) = 3*j(o) - 2*r(o). Find the first derivative of y(u) wrt u.\nAnswer: 516*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + 5*(sqrt(117) - (sqrt(117) + sqrt(117) + -2 - sqrt(117))) + 5))**2*6 + -2 + 5.\nAnswer: 21603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + u + 1. Let v be r(-1). Suppose -2*g = -l + 2, -v*g + 5*l - 10 = -6*g. Let c = 3 + g. Calculate the remainder when 9 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060 equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (260\/(-5))\/(5\/(5\/(-4)))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 248*f**5 + f**4 + 2*f**3 + 3004*f**2 - 6.\nAnswer: 14880*f**2 + 24*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 148. Let u = b - 33. Is -166 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 193752 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 - (-5 + 7)) - 7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8. Let v(q) = 2*q + 1. Let r(c) = 6*v(c) + z(c). Determine r(-14).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, 79, 177, 277?\n\"Answer: k**2 + 93*k - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2 + 10. Let d be p*((-8)\/4)\/2. Solve 0 = d*c - 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 457, 1035, 1845?\nAnswer: 2887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 10:17 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 20. What is l(-22)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(2236010 - 738*h - 2236010)*(-3 + 0 + 1) to c + j*h and give j.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4137266?\nAnswer: 2, 7, 37, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - b)*(-5 + 2 + 1)*(-59 - b**2 - 4*b + 59 + 10*b**3) in the form c*b + j + u*b**4 + z*b**2 + m*b**3 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1565690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 - 76*s**2 - 38*s + 54. Does 13 divide t(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1736 and 392?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20*(-1)\/(-2) + -4. Let r(z) = 5*z + 6. What is the tens digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 24 - 18. Suppose -w = -5*x + 7, 0*w = 5*x + 4*w + r. Sort x, 0.01, 4.\nAnswer: 0.01, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Solve -w*l + 49 - 69 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 742a78 + 6?\nAnswer: 742a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-5)*3)\/(3 + (-252)\/77)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.538 and 0.1?\nAnswer: 1.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1734 = -19139*m + 19037*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l - 6. Let s(h) = h - 7. Let b(v) = -4*s(v) + 5*y(v). Let n be b(-3). Let m = -2 - n. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59294500 rounded to the nearest 100000?\nAnswer: -59300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*q - 37*q = 36*q - 210 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 168, -4, 2, -6, -819.\nAnswer: -819, -6, -4, -3, 2, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51290 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h + 47. Suppose 0 = -16*o + 141 + 99. Let v be u(o). Let f(q) = 3*q**2 + 4*q - 8. Let n be f(-4). Calculate the greatest common divisor of v and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f**2 + 9*f - 13. Suppose -47*o = -45*o - 10. What is the hundreds digit of z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51854526 and 756?\nAnswer: 725963364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 68.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 13\/4 of a milligram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 8:24 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7749101056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -35, -5, -61, -11, -2, 2 in increasing order.\nAnswer: -61, -35, -11, -9, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, w: 5, m: 10}. Give prob of sequence uf.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - q)*(0*q - q + 2*q)*(8 - 9 - 3*q + 3).\nAnswer: -6*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -3. Suppose -5*m - 1 = -k. Solve 5 + 3 = -5*y + l, -5*y - 2*l + m = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -564306 divided by 4?\nAnswer: -282153\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(4914\/8748)*3\/6.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 112 = 4*z. Let w be -1 + (-26)\/(-8) + (-4)\/z. Solve -4*y + 33 = 5*a, a = -4*y + w*a + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-3) + -2290734 + 1. Let g = z + 1510733. Round g to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-s + 0*s - 2*s)*(1 - 3 + 1)*(-5*s - 2*s + 0*s).\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-5) + 262\/(-5). Let x(v) = -3*v**2 - 62*v + 21. Let a be x(-20). Let m = t + a. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 470.1 + 158.6. What is x rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 0*j + 2*j)*(-9 + 0 - 1 + (1 + 2 - 7)*(-1 - 2 + 5)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 = 3*o - h - 347, -3*o + 564 = -2*h. What is the remainder when o is divided by 52?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (1 + 116\/(-24))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -630 take away -3048?\nAnswer: 2418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/18 and ((-731)\/(-102))\/(69\/6).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44*b**5 - 2*b**3 + 24*b**2 + 136*b**2 + 53*b**2 wrt b.\nAnswer: 2640*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -5, 3\/10, 17, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.24248 tonnes to grams.\nAnswer: 88242480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 144379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 12*w + 36. Let s be j(0). Let x = 313 - 154. Suppose -f + x = s. What are the prime factors of f?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.018*40.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4505, 8217, 11929, 15641, 19353?\nAnswer: 23065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 20, 17, 2, -72, -8 in increasing order.\nAnswer: -72, -8, -3, 2, 17, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6268*s**3 + 463959?\nAnswer: -18804*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5*d - 18 = 0. Suppose d*c = 17 - 8. Solve -c = 3*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -3.6. Let p = t - 3.9. Let o = p - -6.999951. What is o rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 - 764*t**4 - 76632*t**3 - 691920*t**2.\nAnswer: -2*t**2*(t + 10)*(t + 186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 3*p + 2, -2 = 6*j - 3*j + p. Let m be 4 - -1 - j\/(-1) - -2. Solve m = -s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -16, -16, -24, -46, -88, -156?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 26\/21, 0, -0.079, -4, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4812 (base 12) to base 16\nAnswer: -1f8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/11, 0.14, 1, 4 in descending order.\nAnswer: 4, 1, 0.14, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3723 divided by -219?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -275 + 367. What is the greatest common factor of 69 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r - 35*r + 2*r**2 + 19*r.\nAnswer: 2*r**2 - 27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 2470?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -8.5 * -56\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170920?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1049*y + 41141 - 10720 = 0 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259784 is divided by 899.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:03 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**3 + 0*d**2 + 6*d**2 - d - 3*d**2 - d**4 - 2 + 16*d**2 as x*d**3 + i + f*d**2 + c*d**4 + u*d and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brmstmt. What is prob of picking 1 r, 1 b, and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -6 - 1\/2*a**4 + a**3 + 3*a - a**2. Suppose -5 = 5*t - 3*j, -t + 6*t = j + 5. What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - -11) + -12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 1293*u - 1298*u.\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2635)\/(-561)*-2 + (-8)\/(-6) - -8?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(2\/7)*f)**(-33)\/((f\/f**(6\/5))\/(f**17\/f)) assuming f is positive.\nAnswer: f**(-2568\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 37433 (base 10) in base 3?\nAnswer: 1220100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 396 - 391. Sort s, 2, 0.7 in decreasing order.\nAnswer: s, 2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 - -0.0440383\nAnswer: -0.0859617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -o**3 - 2821*o*q**2 - q**2 + 15*q + 9 wrt o.\nAnswer: -3*o**2 - 2821*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + -6*(-30)\/63?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 16*a - 90. Let p be 15*(0 - a\/(-18)). What is the greatest common divisor of 80 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 637905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 g when four letters picked without replacement from ibgtmiiiiigmig?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 3\/5, -183.7.\nAnswer: -183.7, -2\/11, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 188\/5?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of -2 + 0*k + 0*k**2 + 0*k**4 + 2\/3*k**3 - 3\/5*k**5. Find the third derivative of j(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.445885 rounded to 2 dps?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12 - 305\/20. Let x be 10\/h + (-35)\/(-3). Solve 5*m + 2*b + 2*b - x = 0, -2*b = 5*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2168452 and 139152?\nAnswer: 26021424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c - 3. Let x be s(2). Suppose y = m + x, -3*m - 13 = -2*y - 2*m. Suppose -2*g = -2*k + 3*k - 15, 4*g = -y*k + 32. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5264 + -5265. Let p(j) = 2*j + 1. Let d be p(-3). Let c(i) = -i**2. Let r(w) = -w**3 + 10*w**2 - 5*w - 1. Let u(t) = b*r(t) + d*c(t). Calculate u(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 18. Let k be j(-20). Let t(h) be the second derivative of h + 0*h**k + 1\/3*h**3 + 0. Let y(l) = -3*l. Calculate y(t(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94516 is divided by 167.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*t - 1155 + 1591 + 2171 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -1348 + 1354 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (303\/(-909))\/(-3*6\/18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -54*r + 62. Let i be l(8). Let m = -350 - i. Solve -4*a - 20 = -2*q + a, -5*a = -3*q + m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 10*v + 148. Let q be x(-8). Suppose -14*t - 1152 = q*t. Which is smaller: t or -61?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -0.4, 3, 2\/11, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + t - 3 = 0, -m + 4*t = -7 + 1. Let r be 177\/24 + 9\/(-24). Suppose r - 1 = 3*l. Calculate the lowest common multiple of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7548\/34)\/((-30)\/20*10\/(-10)).\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 67.00039cm?\nAnswer: 0.0006700039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b**3 - 8*b**3 + 8*b**3)*(-8 - 5 + 1) in the form w*b**3 + i*b**2 + c + n*b and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t + 8. Let o be d(-3). List the prime factors of 12*9\/(-6)*o\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 j when two letters picked without replacement from {x: 12, q: 5, j: 1}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*c - 9*c - 96, -u - 4272 = 178*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 409 = 2*i, -3*i - 251 + 871 = -r. Let y = 13 + i. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 5:58 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 - 67. Let h be (-1 - -2)\/(6\/y). Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*o + 71. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 883995 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*p - 29*p - 59 = 0. What is the nearest to p in 0.1, 0, -0.4, -0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*l + 11. What is the highest common factor of l and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -390 - -320.4. Let l = 71 + t. Sort -4, -5, l in ascending order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000546359394 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f + 2. Let d be s(3). Let n be 1221\/d*(-4)\/6. What is the derivative of -6 - 5 + n*g - 16 wrt g?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 818.19 + -823. Let p = -0.19 + o. What is the third biggest value in 5, p, -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -81068\/66165 - -202\/165. Let o = h + 56146\/6015. Factor 22\/3*q**3 + o*q**2 + 0 + 8\/3*q + 5\/3*q**4.\nAnswer: q*(q + 2)**2*(5*q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-49)\/(28\/(-4)))\/((-3)\/(18\/(-7))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 4105. Let m(d) = -5*d**2. Give b(m(p)).\nAnswer: -125*p**4 - 4105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -12*w + 10. Let g = 146 + -159. Sort g, 0.1, w in decreasing order.\nAnswer: w, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s + 19. Let a be j(-8). Let n = -17 - -24. Solve -w - n = 5*m - 23, a*m = 5*w + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/8, 2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*h = 0. Let q(l) = -l**3 - l**2 - l + 2. Let x be q(h). Suppose a = -x*a + 18. Solve -r - 2 = -a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - z + 35129 = -6201, 5*p - z - 206704 = 0. What are the prime factors of p?\nAnswer: 67, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 661*v - 11897. Give l(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 4*z**2 + 39*z**3 - 68*z**3.\nAnswer: -29*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 1\/10*d**2 - 3\/10*d - 2\/5 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmvuvvmhmvhmhmcum. What is prob of picking 1 c and 1 u?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*y + 1019, 254 = -0*l + l - y. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.91 - 0.09. Let n be 1\/(-16)*-10 - (-2)\/16. Put 1\/6, 2\/7, y, n in decreasing order.\nAnswer: n, 2\/7, 1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.781 (b) 4 (c) 2\/3 (d) 0.8 (e) -1\/2 (f) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1005*w + 1000*w - 2*a = -7, -3*a - 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3659932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**5\/3 + 16*a**4 + 352*a**3\/3 + 84*a**2 - 350*a\/3 - 100 = 0.\nAnswer: -5, -1, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 at least as big as 705\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**2 - 12*n + 7*n + 4*n**2 + 7*n**2 to q + j*n + u*n**2 and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(2)) + 3*-3*sqrt(2).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -a + g - 6*g, -2*g - 34 = -4*a. Let r = a - 2. Calculate the smallest common multiple of r and 0 + 2 + (-2)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 144.99 - 145. Let z = d + 0.41. Let o = 1 - 3. Which is the biggest value? (a) 5 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, l: 4, j: 1, h: 1, f: 3, a: 2}. Give prob of picking 1 t and 1 l.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:10 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:51 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14547465, 29094934, 43642403, 58189872?\n\"Answer: 14547469*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ba24b (base 15) in base 4?\nAnswer: 2100110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/39 and -19\/33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - k - 12 = 0, -4811*j + 4809*j - 2*k - 24 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 19 = -4*h. Let p = h - 5. Suppose 0 = -2*o - o + p*q + 134, 3*o + 5*q = 89. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2520\/29 or -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19652*r + j - 24 = -19648*r, -4*r - 42 = 4*j - 98 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 + 17*m\/4 + 195\/2.\nAnswer: -(m - 30)*(m + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99279933 divided by -151.\nAnswer: -657483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1770 divide 79527864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 57 = -4*o, 0 = -5*y + 5*o + 60. Solve -2*t = -0*c + 2*c - 6, y = c + 4*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + a + 43. Let f be c(0). Let y be 2\/2 + -13 + f. Suppose k - m = -4*m + 13, 2*m + y = 5*k. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 1\/8, 3, -3, -2\/9?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1)*i)**(-2\/51)*(i**(-12)\/i)\/(i\/((i**(2\/31)\/i*i)\/i)))**(-12\/11) assuming i is positive.\nAnswer: i**(5556\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4301\/(-170) + 17 - -8\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(13) + 3 + -3 - 6*-1*sqrt(13)) + 2*(sqrt(1300) - (4*(0 + sqrt(1300)))**2)).\nAnswer: -83200 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 302*r + 495*r + 337*r + 8 - 8 to the form c*r + g and give c.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -151*o**2. Let x = -73 + 75. Let b(l) = 5*l**2 - 2*l**x + 0*l**2 + 9 - 9. What is w(b(k))?\nAnswer: -1359*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1053)\/13*7473\/(-12879)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-18))\/((-4)\/(-24)*45\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5\/9 + 218*a**4\/9 + 2080*a**3\/9 + 3898*a**2\/9 + 176*a\/3 - 168 = 0. What is a?\nAnswer: -6, -2, -1, 1\/2, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159, 917, -2, -3 in decreasing order.\nAnswer: 917, 159, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 981 - 980.8. Which is the second smallest value? (a) 1 (b) y (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cttmtwsamaamc. What is prob of sequence wm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -51 (b) -3 (c) -0.3 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - r. Let g be p(0). Suppose g = 2*b + 5*t - 14757, -3*t + 13255 = 4*b - 16252. Suppose 624 = 2*m - b. Round m to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -30, -12, 26, 90, 186, 320, 498?\nAnswer: 726","meta":{"dup_signals":{},"source":"algebra__sequence_next_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: Let t(q) = 57*q**2 + 8*q + 130. Let l be t(-4). Which is the third biggest value? (a) 1 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 5. Let x = 176 + -1228\/7. Which is the third biggest value? (a) 2\/5 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -273 (b) 1\/5 (c) -0.6 (d) 3 (e) -0.5 (f) 4 (g) 7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 + (55 - 53 - (0 - 10)) + -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/248 and -113\/620.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 938167.8 months?\nAnswer: 78180.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.4, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 276315 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343471 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 451700 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -349, -697, -1047, -1399, -1753, -2109?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f - 55 = 54*f. Let m(y) be the second derivative of 0 + 0*y**3 + 0*y**f + 5*y - 7\/30*y**6 + 6*y**2 + 0*y**4. Differentiate m(n) wrt n.\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (-254)\/(-50) + (-32990)\/(-125). Suppose -x - 3*a - 15 = -2*x, -3*x + 3*a = -27. Calculate the highest common factor of g and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -171.701694248?\nAnswer: 164.701694248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 - -25. Suppose -26 = -5*f - o, 4*f - 6 = -m*o + 2. Let q be -3 + (31 - (-2 + f)). Solve 0 = -5*z - 9 + q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m - 58. What is x(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123\/(-12)*2*(-1)\/(-2)*(-1728)\/432.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1245 - 1229. Suppose 4*d = -20, 2*v + 4*d = 7*v - 80. What is the greatest common factor of h and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -195*s + 259*s + 64 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.5, -25\/4, -8, -3, 56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13595509 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**7\/840 + 7*f**6\/360 + f**5\/20 + f**4\/12 + 5*f**3\/6 + 3*f**2. Let k(p) be the first derivative of c(p). What is k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:26 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/1267812 and -85\/234.\nAnswer: 1267812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1032120000 (base 4) to base 5\nAnswer: -40233044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -2.2. Let u = -0.4 + 0.5. Which is the nearest to u? (a) -4 (b) 1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/192 + 9\/(-2) + 8\/(-24). What is the nearest to 0.1 in -584, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 26*l + 30 - 8*l - 1 + 6 to a*l + g and give g.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-166)\/(-6) - 4)*(95 + -92). Solve -4*a + 3*d = -12, a + 2*d + 79 = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*v - 343 = 0, 11*i + 5*v - 555 = 6*i. Calculate the remainder when 847 is divided by i.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - 21a0?\nAnswer: -21b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2095 = 8*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1134 - 2?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.3 (b) 1 (c) 379 (d) -4\/7 (e) -3 (f) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(374) - sqrt(374))\/sqrt(11))\/(sqrt(8)\/(sqrt(16)\/sqrt(4))) - ((sqrt(68) - -1*sqrt(68))*-6 + (sqrt(68) - (sqrt(68) + 0 + sqrt(68)))*1)**2.\nAnswer: -11492 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -3 - (-3 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*z - 20599*z**3 + 5096*z**3 + 80*z.\nAnswer: -15503*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12894*o + 12877*o - 1 - 1 - 25779*o.\nAnswer: -8*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Suppose -5*t + 16*t - 143 = 0. Let u be (8 - t) + (14 - 3). Put x, u, -4 in decreasing order.\nAnswer: u, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 12 = -0*c. Suppose -5*y - 3*j + 128 = -c*j, -j + 116 = 4*y. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 9. Let d(s) = -2*s + 1. Let i(r) be the first derivative of 4*r**2 - 10*r - 16. Let k(p) = -2*d(p) - i(p). What is -6*k(q) + 5*l(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37 and -0.02.\nAnswer: 36.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 1, o: 2, f: 2, d: 1}. Give prob of sequence fdl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -7 + 9 - 1) + 3 + -8 + -90.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -34 - 37) + -16?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (8 + 145\/(-18))*-6*(2590 + -1).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 593 divided by 491.\nAnswer: 593\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 8*a**3 - 4*a**2 + 9*a - 6. Let l(d) = 7*d**2 - 16*d**3 + 7 - 10*d - 12*d**3 + 19*d**3 - 2*d**2. Calculate 6*l(c) + 7*n(c).\nAnswer: 2*c**3 + 2*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19335 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (143866 - 6*z - 143866)*(z - 7*z + z).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28.983 + -28.9829935128. What is h rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2. Let x(f) = -1516*f**2. Calculate x(p(q)).\nAnswer: -6064*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 9*s - 3. Let h be k(-6). Suppose h*x - 2185 = 5345. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 139.54 + -142. Let u = j - -0.46. Which is smaller: -55 or u?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12057+-3428293\nAnswer: -3440350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 184853967 divided by -6887\nAnswer: -26841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18978*h**2 + 16482*h**2 + 558*h**2 + 10708*h**2 to the form r + n*h**2 + m*h and give n.\nAnswer: 46726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1289 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 18*l**2 + 24*l + 4. Let j be 1\/(-4) + 91\/28. What is the remainder when y(19) is divided by (-25)\/(-1 + (3 - j))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 138 = -56. Let i = o + -18. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94569*-41.\nAnswer: 38.77329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*j - 8*h**3 - 2*h**2*j - 15*h**2 + 155*h*j - 10*j - 5 wrt h.\nAnswer: 6*h*j - 48*h - 4*j - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.12, 35, 2\/71?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -36, 4 in descending order.\nAnswer: 5, 4, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*m - 126 = 0, 2*z - 10 = -4*m - 122. Let j = z - -71. What is the remainder when 18 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11810925 = 129*k - 354*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049303 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 110.284. Round b to two dps.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + c = 23, 5*f - 19 = 3*c - 4. Let a(p) be the third derivative of 0 + p - 5\/6*p**3 + 1\/24*p**4 - 2*p**2. Calculate a(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.3 + -24.3. What is the nearest to d in -1\/5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15520 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 0) + 0\/(-1). Suppose -7*q = -3*q - 32. Let m be (-9)\/6*q\/(-18). Which is smaller: o or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289 and 595.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -521*p**8\/168 - p**7\/210 - p**5\/15 - 1745*p**3\/6 - p**2 + 165*p. What is the third derivative of o(f) wrt f?\nAnswer: -62520*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62578 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/32)\/((-10)\/(-20))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061170 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 5. Let o = -13 + g. Factor 8\/3 + 2\/3*w**o + 8\/3*w.\nAnswer: 2*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 6273325?\nAnswer: -6273322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743328928?\nAnswer: 2, 11, 4952639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuntuiuuutuuuuutinuu. Give prob of sequence uui.\nAnswer: 13\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 8:44 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1996.\nAnswer: 11976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 37.26778?\nAnswer: -3.726778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/175*(-7)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-3)\/75*5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0187587455 rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + o. Let k be 60\/8*(-6)\/(-9). Suppose -18*w - k = -13*w. Give c(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*m + 3*m**3 + 131*m**2 + 51*m + 41*m.\nAnswer: 3*m**3 + 131*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 28*p**2 - 1766*p + 53109. Calculate b(34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10295320 is divided by 607.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**5\/4 - 251*i**4\/4 - i**3\/2 + 251*i**2\/2 + i\/4 - 251\/4 = 0?\nAnswer: -1, 1, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372404 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j - 24*j + 95*j + 11*j.\nAnswer: 51*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368861 + 368863 - 737724 + 3787*w.\nAnswer: 3787*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**7\/35 - k**6\/60 + 4*k**5\/15 - k**4\/3 + k**2\/2 - 4. Let b(g) be the second derivative of x(g). What is h in b(h) = 0?\nAnswer: -2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86532250 divided by 86532250\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 47 - 39*f + 3*f to z + r*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 22*i + 44. Suppose -3*z - 5 - 70 = 0. Let y = -18 - z. What is the remainder when y is divided by o(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 5*o + o - 29, 5*k - 5*o - 50 = 0. List the prime factors of 18\/18*(-1 - -2)*k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2043*j - 28*j**3 - 4063*j + 2020*j.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, o: 4, c: 1, v: 4, z: 7, d: 1}. Give prob of picking 1 d and 3 o.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -5048 (b) 1\/5 (c) 85 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -703.28 + 1701.67. What is o rounded to the nearest 10?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -4*f - 3*m + 8, 0 = -4*f - 3*m + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5321\/48 - -107\/16. Is s bigger than -103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:40 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00016646 rounded to six dps?\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by (-1 - -14)\/((-162)\/(-12) + -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1*k)**(-6\/11))**(1\/63) assuming k is positive.\nAnswer: k**(-4\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*m - 2*m - 9, -3*m - 3*l = -12. Suppose -m*w - 35 = -2*w. Let c be ((-1)\/(-5))\/((-1)\/w). Is 1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378034.2 centuries in years?\nAnswer: 37803420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 + 2*x + 1. Let v be y(-1). Suppose -v*j + 3*j = -24. Suppose -111 = -j*m + 51. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.028 - 0.064. Let g = -1.232 - y. Round g to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -5736802\nAnswer: 11473604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/7 (b) -0.3 (c) 2\/55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69661.6466679465 - 0.4\nAnswer: -69662.0466679465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 9\/110*d**5 + 90*d + 1\/55*d**6 - 3\/11*d**4 + 0*d**2 - 8\/11*d**3 + 0. Factor k(o).\nAnswer: 6*o*(o - 2)*(o + 1)*(o + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.01 and 1022.691.\nAnswer: 10.22691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 488519734 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37773629?\nAnswer: 59, 640231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1705?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + x = -5160. Suppose 0 = 4*t + 2*d - x, 3*d + 45 + 199 = t. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*a + 12. Is -17 + 13 + 24\/a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*p**5\/5 - 37242*p**4\/5 + 561038*p**3\/5 - 1985166*p**2\/5 - 561024*p\/5 + 2022408\/5 = 0. Calculate p.\nAnswer: -18726\/7, -1, 1, 6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 s when two letters picked without replacement from {n: 2, q: 9, d: 1, s: 1, k: 1, y: 6}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1062 - 1626123.\nAnswer: -1626123.1062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 6*c - 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.46, 4\/7, 1428 in ascending order.\nAnswer: -0.46, 4\/7, 1428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**4\/14 + 4*r**3\/7 - 12*r**2\/7 + 16*r\/7 + 13. Factor x(c).\nAnswer: -2*(c - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/7, -2, -5, 5, -309804?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*p - 870160 = -870285, -7*s + 4*p = 127 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4008, 8017, 12026?\n\"Answer: 4009*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10\/7 (b) 40.59 (c) -1\/2 (d) 0.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + 18*v**2 - 263*v - 621. Determine k(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9021, 9023, 9017, 8997, 8957, 8891, 8793, 8657?\n\"Answer: -s**3 + 2*s**2 + 3*s + 9017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, l: 5}. What is prob of sequence lvvl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from oururuncnooucncrlrou?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35832 divided by -1?\nAnswer: -35832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 z when two letters picked without replacement from zjffj?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/13*222\/(-1036). Let w = -5\/91 - c. What is the closest to -1 in 0, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -6c?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f + 8. Let j be c(-5). Let o be j\/(-6) + (-40)\/24. Sort 5, o, 1.\nAnswer: o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -44, 0.5, -5, 0.4, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-1)\/(-3)) - (6 - 7). Let z be (6\/k - -4) + (25 - 3). Let m = 0.2 + 0.8. Is z > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5\/5 - 9*y**4 - 523*y**3\/5 - 267*y**2\/5 + 2288*y\/5 - 1452\/5 = 0. What is y?\nAnswer: -22, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 742.1937 micrometers?\nAnswer: 0.0000007421937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357 a factor of 143707541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.5, -0.14, -8, 52, -12 in ascending order.\nAnswer: -12, -8, -0.14, -0.1, 0.5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1471?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0 - 2 - 2 + 262*u - 252*u wrt u?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, r: 8}. Give prob of sequence iri.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t + 304 = 15. Is -22 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4 (base 16) in base 15?\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 2*r = -29, -157 = 2*x - 2*r - 165 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*y - 28 - 1 = 0, -5*y = 2*r. Suppose 57 = r*q - 368. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 210163178?\nAnswer: 210163174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpqpqp. What is prob of picking 3 q?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262230384?\nAnswer: 2, 3, 13, 420241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/13477170 and -11\/4492390?\nAnswer: 13477170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 493 divide 434235794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from qrbr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1620)\/21 + 4 + 2 + -3. Which is smaller: u or -74?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 31600440?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -77. Calculate the least common multiple of y and 8.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11)*3) + 2.\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6427*f**3 + 6432*f**3 - 12857*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 328024 and 123009.\nAnswer: 984072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-4))\/((-88)\/176)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.154\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443441301 (base 5) to base 16.\nAnswer: -3b5c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.4. Let d(q) = -q**2 - 5*q + 12. Let v be d(-6). Let g be (-1)\/v - (-20)\/(-168). Which is the closest to g? (a) -2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z + 824*z**3 - 10*z + 534*z**3 + 280*z**3.\nAnswer: 1638*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -37*v + 909 + 57 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 355 and 568.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4504, 9006, 13510, 18016, 22524, 27034, 31546?\nAnswer: 36060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2169 + 0*o + 2080 - 4464 + 6*o to the form z + p*o and give z.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(-49)*a*(a**(-3)\/a)\/a*a*a**3 assuming a is positive.\nAnswer: a**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6968*f - 76667. Determine l(11).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.5 - -32. What is the third smallest value in 0.5, -0.2, m, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 25*o - 1. Let k(w) be the third derivative of w**5\/60 + 172*w**2 - 2*w. Give k(v(h)).\nAnswer: 625*h**2 - 50*h + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 6:29 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + -5 + -1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 12 + (-74 - -30) + (20 - 8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 20587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.686 - -0.986. What is the second smallest value in c, -3, -2\/33, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 46*z + 17. Let g be b(6). Let v = -209 + g. Suppose 5*t - 141 - v = 0. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183\/4 + 46. Let i = 4\/21 + 5\/84. Factor -3\/4*w**2 - 3\/4*w**3 - k*w**4 + 0 - i*w.\nAnswer: -w*(w + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzpy when four letters picked without replacement from zyyypzppyzzyzzyyy?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2096 and 30056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15307832*c**3 - 15679897 with respect to c.\nAnswer: 45923496*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.28 + 3.28. Let c be (-10)\/(-5) - 4\/(-5). Let m = 198\/5 + -39. What is the closest to y in c, -2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1357 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3153126379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111806215587287 + -0.16\nAnswer: -111806215587287.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10 - (-5 - 189\/(-45))) + 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**2 - f**2 - 4*f**2 - 7*f**2 + 3*f**2 - 6*f**2 + (-34 + 34 + 14*f**2)*(5 - 4 - 2).\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 151, -0.06, 9.5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 41. What is the remainder when k is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47096 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, m: 1, o: 10, i: 5}. Give prob of sequence ioig.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1498858808*z**4 - 34677154*z**2 + 4*z wrt z.\nAnswer: 35972611392*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 31824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w + 202 - 690 = 168 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14482 * -0.01\nAnswer: -144.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1\/(-2)*4) + -2. Suppose u = 6*c + 6*c - 168. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7366.\nAnswer: 2, 29, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/6)\/(4\/12). Suppose -n*i + 15 = 3*i. Suppose -4*r - i = -5*r. Solve 3*v = -9, r*v + 9 = 4*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4708 and 3?\nAnswer: 14124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(120\/4)\/(-6))\/3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -2\/2033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 22*o**3 - 11*o**2 - 11*o. Let x(k) = -k**3 + k**2 + k. Suppose -69*h = 413 + 346. Give h*x(b) - c(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17581*p**4 + 54*p**3 + 2931420 wrt p?\nAnswer: -70324*p**3 + 162*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 301.8?\nAnswer: 3923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -185 divided by -37\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13139324 to the power of 1\/2, to the nearest integer?\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 150988 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(117) + -5 + sqrt(13) + -1)**2 + 3).\nAnswer: -364 - 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(925\/74))\/((-6)\/10)*123.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z = 27*z + 10. Solve -15 = z*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -7*o + 37*o. Which is the nearest to 3? (a) 0.1 (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/((s*s*s**0)\/s))\/s))\/s**2)\/(s**1)**(10\/3) assuming s is positive.\nAnswer: s**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/525*105\/10.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10064 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 416, 5, 1 in decreasing order.\nAnswer: 416, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 169689, 339394, 509099, 678804, 848509, 1018214?\n\"Answer: 169705*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10455539735.999999882 + -10455539681. Let b = -65.7 + 10.7. Let h = l + b. Round h to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 13) to base 14.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (16 + 2 - 21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - 6*j**2 - 2*j + 1. What is the tens digit of u(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:28 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microgram in nanograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60.171 and -173480?\nAnswer: 173540.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -4\/21279 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/28 - -1\/7. Let l = -179\/4 - -45. Let k be (-1 + 2)*(-5 - 0)\/5. What is the closest to l in k, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/(f\/(f*(f**(1\/4)*f)\/f))*f))**(-2\/21)*(f*f**(2\/15))\/((f\/(f**(-5\/3)\/f*f))\/f) assuming f is positive.\nAnswer: f**(-67\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)\/sqrt(324) + sqrt(50))\/((sqrt(10)*2 - sqrt(10))*-1).\nAnswer: -7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {i: 1, k: 1, h: 2, o: 1, z: 1, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*s + 292, -7*s + 5*v = -2*s - 320. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i + 1. Let d be a(1). Let g be -14 + d + 0\/2. What is the units digit of (16\/(-6))\/(10\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4, 5368, 2, 3 in decreasing order.\nAnswer: 5368, 19, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w = 21*w - 340 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -18*g**4 + 81636*g**3 - 92616026*g**2 + 123379208*g - 41114312 = 0.\nAnswer: 2\/3, 2267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 102, 403, 896, 1575, 2434, 3467?\n\"Answer: -y**3 + 102*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 0*t**2 - 47*t + 46\/3*t**3 + 47. Differentiate r(w) with respect to w.\nAnswer: 92*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*w**3 + 147 + 28*w**3 + 456 - 66*w**3 - 183 as n + f*w**2 + b*w**3 + o*w and give n.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2131381, 2131385, 2131389?\nAnswer: 2131393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 + -120.4. Let o = 0.1 + 0. Put u, -4, o in ascending order.\nAnswer: -4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 228, -12, -68, 5, 0, 2 in increasing order.\nAnswer: -68, -12, 0, 2, 3, 5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 3 - 3 + (-4*h + 4*h + h)*(-4*h + h + h) + h**2 - h**2 - 2*h**2 + 3 + 2*h**2 - 3 + (-h - 1 + 1)*(4 - 2*h - 4).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946379306?\nAnswer: 2, 71, 6664643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/(v**(-5)*v))\/(v**(-2\/7))**(-42)*(v\/v**(1\/2)*v**(-5))\/(v**(-6)*v**(3\/2)\/v) assuming v is positive.\nAnswer: v**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + 3 + (6 - 16)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 59654720 to the nearest ten thousand.\nAnswer: 59650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/(-6) - 3\/6. Solve -5*k = -z + 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 5*c - 1. Let q be u(-4). Let p(b) = 60*b**2 - 2 - q*b**2 + 4 - 2. Let r(f) = 19*f**2. Give r(p(i)).\nAnswer: 19*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {i: 1, y: 1, m: 2, l: 1, q: 1, v: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 17196 = -4694. What are the prime factors of t?\nAnswer: 2, 11, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9726 - -4?\nAnswer: -9722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*c - 648, -5*c + 202 = 4*s - 653. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 0 + 1 - 2*m**2 - m. Suppose -4*g + 13 = -3*v - 2*v, 5*g + 25 = -2*v. What is z(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1800.\nAnswer: 1\/1800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - (-2 - (0 + -1)))*1. Suppose 4*q - 2*z - 158 = 0, -3*q - z - 2*z + 141 = m. List the prime factors of (822\/(-9))\/(4 + q\/(-9)).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26598537 is divided by 71?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*u**2 + 3*u**2 - u**2 + (-7*u - 24*u - 34*u)*(u - 5*u + 0*u).\nAnswer: 256*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20627210 is divided by 2062720.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66475 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.1, -5, 48, -2\/7, 0.2.\nAnswer: -5, -2\/7, 0.2, 5.1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 443020055 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*m + 39, -2*w - 4*m - 78 = -18. Let n = 30 + w. Solve n*i - 15 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -30\/5209 (b) 0.5 (c) -4 (d) -0.2 (e) 11\/3 (f) -3 (g) 3\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*i**3 - 2 - 3*i**4 - 2*i + 7*i**3 + 10*i**3 + 2*i**2 in the form p*i**2 + g*i**3 + y*i + q*i**4 + l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - 3*w**2 - w + 2. Suppose -m + 26 = -5*l, -4*m = 2*l + 2*l + 16. Suppose m = z + 3. Is 15 a factor of b(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49837 divided by 14?\nAnswer: -49837\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 11. Give i(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by 104.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -899 - -4?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from qqttqqqqqqq.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b**2 + 636*b + 34. Let z be h(-83). Calculate the highest common divisor of z and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1037162 to 4 decimal places.\nAnswer: 0.1037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109259.3*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3274, -6556, -9838, -13120, -16402, -19684?\n\"Answer: -3282*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-6 + 2 + -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 16 = 3*j - 37, 3*g = -2*j - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**2\/2 - 1. Let j be n(2). Let f = -28 - -33. Put f, -3, j in ascending order.\nAnswer: -3, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -23200?\nAnswer: -23166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -27*b**3 - b**2. Give y(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**3 - 992*a**2 + 976*a + 14. Give t(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -28, -41, -54?\n\"Answer: -13*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (1 - (1 + 2)). Suppose k*f - 12 = -f. Suppose t = f*t - 56. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/28*(-35)\/(1260\/(-48))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -5*q. Suppose q = -m - 7 + 16. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 36\/1069 (b) 1\/4 (c) -2\/13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 4*v**3 - v - 1. Let r be ((-14)\/(-4))\/((-3)\/6)*147\/1029. Give n(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 167 = -408. What is the remainder when z is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 150. Let n = 156 + -111. Let j = n - 44.5. Which is the fourth biggest value? (a) g (b) -2\/3 (c) -5 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 5) + 3 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 29*f**2 - 7*f - 23. Let y(l) = 35*l**2 - 5*l - 23. Let h(n) = -6*g(n) + 5*y(n). Calculate h(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/54 and 145\/204?\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyayykczkcqcqy. What is prob of sequence za?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/8*2\/1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82031020*t**2 + 121005490 wrt t.\nAnswer: 164062040*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-19)\/57)\/(1\/(-6)). Solve -f*g - 11 = -9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.7839725 minutes?\nAnswer: 47038350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/9*(-14 - -5). Calculate the highest common factor of x and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75301525.\nAnswer: 5, 13, 223, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -4*z**2 - 36*z. Let y(p) = 375*p**2. Give c(y(s)).\nAnswer: -562500*s**4 - 13500*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/(-726)*-11 + 70\/174.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 5 - 2) + -5 + 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 10 + 40. Let v be (c\/4)\/((-3)\/6). Let y be (2\/24)\/(2\/8). Sort v, 0, y.\nAnswer: 0, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103 rounded to five decimal places?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30190 or 100?\nAnswer: -30190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*g + 366, -f = g - 2*g - 129. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*o - 4*a - 9, -2*o + 8 = 3*a. Put -4, 5, o, -1 in decreasing order.\nAnswer: o, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k - 625 = 68*k + 23 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/6220 and 143\/14928.\nAnswer: 74640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqwlulyr. Give prob of sequence yl.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 726\/12*(-1 - 1). Let s be i*1\/(-2)*-2. Let z = -38 - s. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/144 and -25\/62.\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(4\/7)\/r**(-1\/2)*r*r*r\/r**(1\/3)*r*r**6)**(-8))**49 assuming r is positive.\nAnswer: r**(-12628\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3 (b) 8 (c) 63856\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43381*w - 86772*w - 10 + 43388*w + 10.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-4*(sqrt(102)\/(sqrt(6) + sqrt(42)\/(sqrt(42)\/sqrt(6) + sqrt(7)) + sqrt(6)))**2 + 0 + -5.\nAnswer: 247\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 5:46 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 4, -1\/6, -0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58023803 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 157797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-6)*m)\/(m*m**5*m*m*m))\/(m**(-1)*(m\/(m*(m**0\/m)\/m)*m*m)\/m*m) assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 - 1 = 0. Let f(w) = -5*w**2 + w - 5. Let t(i) = 6*i**2 - i + 6. Let q be (((-27)\/18)\/(-3))\/((-1)\/2082). Let s = q - -1046. Give h*t(k) + s*f(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -855 or 1599?\nAnswer: -855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -8, -4, 0.3, -5, 11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117))**2*-5 - (sqrt(117) + 2 + -4)**2.\nAnswer: -2461 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -40*x**2. Let z(i) = 2775*i - i**2 - 2775*i. What is m(z(s))?\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 80, 68, 60, 62, 80?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 948 in -0.03, -0.3, 1, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o*o**(-2\/5)*(o*o*o\/(o*o**(1\/2)))\/o*o\/(o*o**(-5)*o*o))**(-50) assuming o is positive.\nAnswer: o**(-235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.123 - 10947233.\nAnswer: -10947233.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 11:33 AM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from acaaaacc. Give prob of sequence acaa.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*p + 35*p - 179*p - 2*p**2 + 2 as k*p**2 + q + i*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -19*n + 12*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1086, -2168, -3250, -4332, -5414, -6496?\nAnswer: -7578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**5 - 40*d**4 - 4688*d**3 + 110024*d**2 - 844340*d + 2156000 = 0. What is d?\nAnswer: -40, 7, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a*o**3*q + 62*a*o**3 + 5*a*o*q - 44*o*q wrt o?\nAnswer: 24*a*o*q + 372*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**4 - 2*b**3*f - 5376*b**3 - b*f - 19*b + 24*f - 2 wrt b.\nAnswer: -24*b**2 - 12*b*f - 32256*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 5*q + 6. Let d(x) = -3*x + 14. Let s be d(8). Put s, q, -2 in ascending order.\nAnswer: s, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1356 and 223116918.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*w = -698319, -5*z + 618015 = -w - 80283. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10683 and 1.1?\nAnswer: 10684.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 5*m - 80 - 5 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 - 2*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, x: 4, m: 2, q: 8}. Give prob of picking 2 m and 1 q.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5819325944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q**5\/3 - 25*q**4\/3 - 2533*q**3\/3 - 28175*q**2\/3 + 35972*q = 0. Calculate q.\nAnswer: -23, 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i - 4. Calculate the remainder when (3*1)\/((-3)\/(-28)) is divided by x(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1396 and 16.\nAnswer: 5584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 4\/3)\/((4160\/(-234))\/(-40)). Sort o, -2\/5, 1, -3, 0.1 in descending order.\nAnswer: 1, o, 0.1, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1119 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - 4. Let u be ((51\/(-15))\/(-1))\/(4\/20). Let q = 7 - u. Let b(g) = -1. What is q*b(j) + 2*d(j)?\nAnswer: 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 235, 490, 825, 1228, 1687?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 6 + 46. Suppose 4*c - 4*k = 6*c - 4, -5*c - 4*k + f = 0. Suppose -c = -g - 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 4. Suppose -i = -c*i + 81. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174053964.\nAnswer: 2, 3, 7, 31, 66841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*b - 242*b - 144 + 2052 = 0 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -15492 - 160209. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19295680 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 11, c: 6}. What is prob of picking 1 x, 1 b, and 2 c?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4169 - 4169. What is the nearest to 0.2 in -0.5, z, -4, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/182688 and -5\/66432.\nAnswer: 730752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1053) - -6*(sqrt(1053) + 2)))**2.\nAnswer: 1890*sqrt(13) + 51822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22713, -21408, -19249, -16236?\n\"Answer: 427*p**2 + 24*p - 23164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3440 - 703. Let m = -824 - c. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 29*y**2 + y. Let o(d) = -d**2 - d + 3. Let n be o(-3). Let r be (1 + 0 - n) + -3. Let j be v(r). Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1030 and 2678?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(847) - (1 + sqrt(847))*6) + sqrt(847)*-2 + -1 - -4*-4*sqrt(847)*2)**2*-3.\nAnswer: 54054*sqrt(7) + 11595024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 76*y. Let p(s) = 75*s. Calculate -6*l(d) + 5*p(d).\nAnswer: -81*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1210 = -27*j - 400. Calculate the smallest common multiple of j and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**2\/2 - 2*r + 2. Let m be b(5). Differentiate -4*n + 5*n**3 + 5 + n + m*n with respect to n.\nAnswer: 15*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5703*j - 806*j - 5513*j + 3536*j - 3055*j to d*j + g and give d.\nAnswer: -11541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 111\/5 - 903\/40. Let s = 92833 + -92844. Which is the second biggest value? (a) 1\/4 (b) s (c) -2\/17 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 8. Let j(u) = -8*u - 8. Let d(k) = -6*j(k) + 7*p(k). Let q be d(-10). Solve -q = -2*t - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61624 or 924359\/15?\nAnswer: 61624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -16\/5 (c) 2 (d) 3\/7 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.2 + -1.1. Is l at most -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 149 + 75. Suppose d - 72 = -3*j, d + j = 2*j + c. Calculate the highest common divisor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28268, 28254, 28240, 28226?\nAnswer: 28212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -106. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -233*s**2. Let d(v) = 15*v. Determine h(d(g)).\nAnswer: -52425*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 282036269245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/7 - 6352552*p**2\/7 - 2522188659584*p\/7 - 5044351908992\/7.\nAnswer: -4*(p + 2)*(p + 794068)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.2 + 79.2. Let n = -68.24 + v. What is n rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*k - 76*k + 16*k)*(43 - 48 - 21 - 2*k) to the form x + t*k**2 + c*k and give t.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3909110 divided by 10?\nAnswer: -390911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19574 is divided by 323?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -100 + 102. Suppose -3*s + 4*j + 10 = 0, 3*s - i*j = -0*j + 8. Suppose 8*h = -s*o + 9*h, 3*o + 10 = 4*h. Solve 4*n + o = -5*p, 4*n - 1 - 1 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + sqrt(117) - (sqrt(13) + (sqrt(13) - 4*(sqrt(13)*3 - sqrt(13))) - sqrt(13))))**2.\nAnswer: 40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 7. Suppose 28 = -7*i + 21*i. Solve 4 = -t*x + 2*s + 9, 4*x - 2*s = i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 7. Let b(g) be the third derivative of g**4\/12 - 13*g**3\/6 - g**2. Suppose 4*z = -4*l + 40, -l + 2*z + 6 - 8 = 0. Determine l*b(m) + 11*a(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133451291.\nAnswer: 1847, 72253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*t - 606 - 416 = -267 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -38, -76, -126, -188?\n\"Answer: -6*y**2 - 8*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 34014 (base 13) to base 3\nAnswer: 11210121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 626 - 617. Solve -j*o + 12*o + 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 24*y**2 + 46*y - 330. Does 70 divide h(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 1. Let a(o) = -4*o**2 + 2*o - 10. Let n(i) = -a(i) + 3*b(i). Let m = -1168 - -1176. What are the prime factors of n(m)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.7 - -3. Let b = a + 2.7. Let o be ((-3)\/15 - 0)*-2. Put o, 2, b in descending order.\nAnswer: 2, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-eight thirds of a century in months?\nAnswer: 23200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68531122 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*l**3\/4 + 16*l**2 - 19*l + 4.\nAnswer: (l + 4)*(3*l - 2)*(7*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuhhuhuuuuuhu.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -15911850.18 to the nearest ten thousand.\nAnswer: -15910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 25 = 5*l, 783*l - 22 = -3*n + 776*l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (188\/6)\/(18312\/(-1505)). Let u = -8\/981 + m. Find the common denominator of u and 83\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 1 + 26)*(0 + 4*c + 0) + c - 3*c + 0*c)*(-5*c**3 + 0*c**3 + 3*c**3) to g*c**3 + x + i*c + b*c**2 + t*c**4 and give t.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/11 + 2070*v\/11 + 2232 = 0.\nAnswer: -1023, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d + 0*d + 2*d)*((-4 + 5 - 3)*(-1 + 2 - 3) + 20 + 4 - 76)*(0 + 5 - 3).\nAnswer: 576*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -15*n + 396. List the prime factors of n.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 39*p + 116. Let n(i) = -21*i - 62. Let o(h) = -7*n(h) - 4*q(h). What is o(-9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796022623.\nAnswer: 11, 151, 479243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -189800292*z**2 - 616*z + 137006 wrt z.\nAnswer: -379600584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21847 (base 10) in base 4?\nAnswer: -11111113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21340000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -266495, -268988, -273143, -278960, -286439?\nAnswer: -295580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101010100 - -10?\nAnswer: -10001101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwgw when four letters picked without replacement from gggggggggggwgwgwgg.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 2:59 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4*h + 228 = -h, -2*d + 3*h - 108 = 0. Let s = d + 108. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 44 - -3?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -4*s**3 + 58*s**2 - 103*s. What is the hundreds digit of f(-26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 281944681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 89. Does 26 divide z(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sev when three letters picked without replacement from xcvxcckecsexxcxce?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138473\/1079 - -400\/83. Let x = -133 + z. Let o = 0.8 + -0.5. What is the closest to 0.1 in 2, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 9, j: 3, e: 2, b: 3}. Give prob of picking 1 m and 1 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + 4*u**2 - 4*u**2 + 2*u**5 - 1 + 1 + (-u**2 - 2*u + 2*u)*(0*u**3 + u**3 - 3*u**3).\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 827751905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107\/6 + -2351\/132. Let g be (-45)\/(14\/4 + -3). Let q = 89 + g. Is o greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r**2 + 71*r + 160. Let h be 8\/4*21*3\/18. Let j(c) = 4*c**2 - 35*c - 80. Let u(k) = h*j(k) + 3*s(k). Solve u(v) = 0 for v.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79524 is divided by 140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1879945645578*m**3 + 939972822784*m**3 + 939972822787*m**3.\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -8, -2\/7, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5155 + (-8 - 13\/(-1)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 140 and 140 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24033011.\nAnswer: 41, 97, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y + 25. Let m(a) = -15*a + 48. Let c(i) = 3*m(i) - 7*u(i). Let f(r) be the first derivative of r**3\/3 - 278. What is c(f(d))?\nAnswer: 4*d**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*n - 22, 0 = 2*n - 0*u - 5*u. Let y(s) = -40*s + 5. Let r(k) = 36*k - 6. Let i(w) = n*r(w) + 6*y(w). Let z(t) = -4*t**2. Calculate i(z(l)).\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -15. Let q be (-8)\/d - 4*-5. What is the highest common divisor of q and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2026, 2019, 2008, 1993?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006219 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/200 and -11\/380?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21022 + 0?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddttdddt. What is prob of sequence ddtd?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11943 - -11926 - (-25 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -732 (base 14) in base 6?\nAnswer: -10320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:57 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - (1 - -2)) + 10 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1589*w + 1599. Give f(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -3*v**6\/10 - v**5\/20 + 19*v**4\/12 - 8107*v**3\/6 - 46*v + 68. What is the second derivative of r(u) wrt u?\nAnswer: -108*u**2 - 6*u + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*p**3 - 43*p**2*z**2 + 2*p*z - 3*z**2 + 25 wrt p.\nAnswer: 15*p**2 - 86*p*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 543547093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110111000100110 (base 2) in base 8?\nAnswer: 2067046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**3 + 327*n**2 - 161*n + 226. What is v(-55)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.99666982 rounded to 0 dps?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (2 - (-1 - -6)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 4.67\nAnswer: 32.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9953 + -9953.3. What is the closest to o in 0, 19, -4, -19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338850689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -89.8 times -27659\nAnswer: 2483778.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-28 + -1 + 48).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*t**3 + 3105072*t**2 - 3105072*t**2.\nAnswer: 127*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-160)*4*(-8)\/6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -908216, -908209, -908198, -908183, -908164, -908141?\n\"Answer: 2*j**2 + j - 908219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3081164657.3 and 19.4?\nAnswer: 3081164637.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -36.47055 and 35 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -76, -73, -56, -19, 44, 139?\n\"Answer: f**3 + f**2 - 7*f - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. What is the remainder when -8*18\/(-8)*i is divided by (55 + 23)*(-4 - -8)\/24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.2 (c) -1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 17)\/(42\/126). Let w = -9 + 13. Suppose 2*a - 20 = -w*d, 5*d = 5*a - 0*a - 20. What is the highest common divisor of o and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.3 - 1.3. What is the closest to 0.2 in -1\/2, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544 = 669*b - 737*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -9. Suppose l + y = 7. What is the remainder when 17 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294a97 (base 11) to base 8\nAnswer: -1603337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444 and 3.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, 13, 4, -211, 113 in descending order.\nAnswer: 113, 13, 4, 1, -1, -5, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*m - 10 = 0, -2*m = -5*r + 14 - 4. Suppose r*g = -4*g - 12. Let v be -1 + g - 328\/(-84). What is the second smallest value in 0.2, 2\/7, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -g + 393, 73*g + 5*b - 807 = 71*g. What is the lowest common multiple of g and 153?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 - -0.8. Let l(j) = j**3 - j**2 + j - 2. Let o be l(0). Let y = 471\/7 - 67. What is the nearest to z in y, 0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2760 + 15983. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2525725.53 to the nearest ten thousand.\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 - -138. Let t(u) = -20*u + 3. Let p be t(-5). Let z = 168 - p. Calculate the greatest common factor of z and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/8 (b) -68 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = q - 5*b, -2*q - 6 + 4 = 2*b. Suppose -5*v = 474 - 144. Let k = q - v. Calculate the greatest common divisor of 21 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770453443?\nAnswer: 97, 7942819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 513 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32391?\nAnswer: 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 5*y**2 - 3*y + 48. Let g be q(6). Is (9 + 186)*g\/(-3) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let u = 1 - -2. Suppose -6 = -4*x + 2. Solve x*f + 0*f - 11 = -b*w, -u*f = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(3\/11))\/r)**(-4\/21) assuming r is positive.\nAnswer: r**(4\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 44*g**3 - 949900*g**2 - 1295384*g - 345440 = 0.\nAnswer: -1, -4\/11, 21590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 82.28. Let n = 1.27786 + d. Round n to four decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 26\/130 + (-494)\/(-5). Let m = 122 - f. What is the remainder when m is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/29 - 131\/145. Which is the third biggest value? (a) 3\/7 (b) -1\/5 (c) -2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 168 and 192?\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + i**2)*(4941 - 2248 - 2321 - i).\nAnswer: -i**3 + 372*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7956373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/126 and -95\/42.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/81 and 29\/558.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/57)\/(7107\/(-5871))?\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - 37. Let l be (n\/(-18))\/((-2)\/(-54)). Let i = 32 + l. What is the nearest to -1 in 0, 3, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + f**2 + 3*f - 2. Let y be s(2). Let i = -5 - y. Suppose -x + 34 = i*c, 2*c = -3*c - 5*x + 40. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10227 = -5*f + 34548. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -193 - -187. Let a be 1 - (6 + -56 + j). What is the highest common divisor of a and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkkkfkkggkgfk. What is prob of sequence kk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/270 + 29*u**4\/12 - 262*u**3\/27 - 3*u**2 + 8*u. Solve k(a) = 0 for a.\nAnswer: -262, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x*x**0\/x*x)\/(x**(-1)\/(x\/(x*x\/(x\/(x\/x**(1\/5)))*x))))**(-9) assuming x is positive.\nAnswer: x**(261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o + 6*o + 4 - 7*o**2 - 10 - 18*o. Let p(r) = 3 - 6 + r - 3*r**2 + 24 + 4*r**2. Let n(q) = 11. Let k(j) = 11*n(j) - 6*p(j). What is 6*k(c) - 5*u(c)?\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**5 - 45*o**4 + 8*o**3 - 403260*o wrt o.\nAnswer: -60*o**3 - 540*o**2 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 547111, 1094227, 1641341, 2188453, 2735563?\n\"Answer: -v**2 + 547119*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/4*16\/4. Let y(g) = g**2 + 4*g - 3. Suppose 0 = -7*r - 45 + 10. Let s be y(r). Calculate the greatest common factor of s and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4987\/90 - -397\/9. What is the common denominator of -77\/20 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349 - 616. Let t = -191 - i. Let w = t + -65.4. What is w rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0745387 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i - 147*i + 100 = 0. What is the lowest common multiple of i and 30?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -504*l + 1353 - 1857 = 0. Suppose -14 = 2*m - 2*s, 0*m - 5*s = -2*m - 26. Sort m, l, 3, -4 in decreasing order.\nAnswer: 3, l, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*v - 360 + 2*v**2 + v**2 + 45*v - 97 to n*v + i*v**2 + r and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81.1 * 10.343.\nAnswer: -838.8173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 26 - 1 = 0. Suppose -a*h + 6 + 34 = 0. Let c = 32 - h. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 - 59*t**2 + 1615*t - 1392. Give l(-47).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/14)\/(650\/910). Which is the nearest to 37? (a) -2 (b) m (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 5:57 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44531213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 2 + 3*b - 2*b. Let x be p(4). Does 9 divide (x - 11)\/((-2)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -245*d**4 + 724815*d**3 + 1139440*d**2 + 473580*d + 59200 = 0.\nAnswer: -1, -2\/7, 2960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101010010010111011110100 - -1?\nAnswer: 100010101010010010111011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) - (-1*sqrt(4235) + sqrt(4235)) - (-2*sqrt(105))\/sqrt(3))*-6)\/(-1*(sqrt(160) + sqrt(160) + 1*sqrt(160))\/sqrt(8)).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2 and -59\/1098.\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 33\/4, 3?\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 4400?\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 99, -2\/21, -8\/3, -4\/9, -2060, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -37. Find the common denominator of 43\/2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -30. Suppose 3*h - 2*j = 25, t*h - 4*j - 43 = -0*j. What is the second derivative of 15*y + 12*y**3 + 3*y + h*y + 3*y wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(931) + 1.\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-5 - (-115)\/20). Let c(t) = -56*t - 3*t**2 + 13*t**2 - 3*t**2 + 193. Let o(l) = 6*l**2 - 56*l + 194. Let z(b) = v*o(b) - 2*c(b). Factor z(j).\nAnswer: 4*(j - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (8 + -5 - 3) + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 + 119. Let p = 5668 + -5839.27. Let z = p + x. Round z to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 3*b - 16 = 23*r, 2*r - 2*b + 16 = 0. What is the closest to 2 in 1\/4, r, -11?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -455516 by 1.\nAnswer: -455516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 6:05 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 30\/50 - (-24)\/10. Suppose 3*c - j*v = c + 56, 5*v + 64 = 2*c. Suppose -2*f = -o - 3*f + 80, -f - 3 = 0. What is the remainder when o is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -817*m**4\/8 + m**2 - 715. Let q(g) = g**2. Give q(k(b)).\nAnswer: 6007401*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3818*q + 501 = -4153*q + 39696 for q.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 11, 2, 2\/141?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1732011 is divided by 288668.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b*v - 4*b - 83*v**3 + 1 wrt v.\nAnswer: -b - 249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 = -39*k - 17 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 52*h**2 - 2747*h - 452. Determine n(53).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46826, -60892, -84334, -117152, -159346?\nAnswer: -210916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -6*o**2 + 3*o. Let g be r(-2). Let c = -31 - g. Put -4, 2, c in ascending order.\nAnswer: -4, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Let o = -0.3 + -0.7. Let p = -0.2 - -5.2. What is the nearest to o in 3, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-11322775.\nAnswer: 5661387.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1019276601.\nAnswer: 3, 7, 29, 43, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-75)\/(-72) + -1). Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k**2. Let j(d) = -33*d - 69. Give j(f(l)).\nAnswer: -132*l**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 8 = -2*u. Suppose -w + 6*a = a - 30, 0 = 2*a - u. Suppose -4*q + w + 25 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a59a + 5?\nAnswer: 2a5a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1739073, -1739135, -1739237, -1739379?\nAnswer: -1739561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79077.51 centuries in millennia?\nAnswer: 7907.751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 26*h + 46. Determine n(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 11:17 PM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-303)\/27 + (-14)\/(-63). What is the second smallest value in 2\/5, 4, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20226*j - 2856 = 20184*j for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l + 0 - 6 - 9*l**2 + l**3 + 0*l**3. Let a be t(8). Suppose -2*y = y - 2*k - 35, 0 = 4*y + a*k - 28. What is the remainder when y is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.63 - -2.67. Let q = j + -0.3. Let t be 4\/(-7) + 66\/42. Which is the second biggest value? (a) q (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 0.5. Let h be (34\/(-8))\/((-1)\/16). Let t = 70 - h. Put i, -1\/4, 0.4, t in decreasing order.\nAnswer: t, 0.4, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94892713.\nAnswer: 94892713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-18)\/(-3) - (-124 + -26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -12*r**2 + 11*r + 47. Let o(h) = 5*h**2 - 6*h - 24. Let g(c) = -3*l(c) - 7*o(c). Let t be g(-5). What is the third smallest value in -5, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1152 - 1088 = 35*o. Put 3\/16, o, 2\/17 in ascending order.\nAnswer: o, 2\/17, 3\/16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Let v(b) = -94*b**2 - b - 2. Let h be v(-2). Let n be h\/(-72) - (-2)\/(-9). Solve d*o + 45 = -n*x, 4 = -2*o + o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 79*f**2 - 6631*f + 26505. Calculate s(4).\nAnswer: 1245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*j**6*x - 20359020*j**4*x - 59*j**2*x - 20*j*x + 145*j wrt j.\nAnswer: 2280*j**3*x - 488616480*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:01 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -888, -1759, -2630, -3501, -4372, -5243?\n\"Answer: -871*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -1101?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60b21 + -6?\nAnswer: 60b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 1 - 7 - 8*y**2 + 7 - 6 to the form o + b*y**2 + g*y and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 2\/7 (c) 68 (d) -10\/9 (e) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 2 + 0)*(-1)\/3. Let c be ((-1)\/1)\/(2\/(-4)). Let b(r) = -c*r + 6*r - 1 + 0*r. Determine b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -14, 2, -3, -75?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654831641.\nAnswer: 137, 139, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/(3\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 498448 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 61*k - 3371. Let r be g(57). Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112915.37 rounded to the nearest 100?\nAnswer: -112900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7625 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027\/6 smaller than -162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let a(g) = -2*g**2. Let u(w) = 2*a(w) - 3*y(w). Let s(k) be the third derivative of -17*k**4\/12 - 2*k**2. Determine s(u(i)).\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.4 - 6. Let q = -3.6 - d. Let v = -515\/6 - -86. What is the smallest value in 0.3, v, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 5*b**4\/24 + 66*b**2. Let c(t) = -24*t**2. Determine c(x(l)).\nAnswer: -600*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -5*b + 35, f + 9 = -2*b + 24 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 11:18 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 30*v + d = 7, 5*v - 3 = -7*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 20262 = 6*b. What is the second derivative of -j + b - j + 24*j**4 - 924 wrt j?\nAnswer: 288*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*w**3 - 8*w**3 + 2*w**2 + 15*w + 13*w**3 wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (-1 - 6\/3). Let p(o) = -o + 5. Let t be p(3). Calculate the smallest common multiple of 4 and f + ((-6)\/t)\/3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 902*l + 210*l**2 + 2*l**3 + 92*l**2 - 902*l - 66*l**2 in the form o*l**2 + j*l**3 + s*l + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 86960\/(-72) + (-2)\/9. Let l be (2\/(2\/(-16927)))\/(-14). Let w = l + s. What is the common denominator of -77\/10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (28500\/144 + (-4)\/(-12))*4. What is the highest common factor of 26 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1212*u - 949 wrt u.\nAnswer: 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157 (base 11) to base 6.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 337, 681, 1055, 1465, 1917?\n\"Answer: i**3 + 9*i**2 + 310*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -551 + 2193?\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3222 + -1736. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 o when three letters picked without replacement from {h: 3, j: 1, s: 6, o: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -172\/7 - -888\/35. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 5672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c**3 - 4*c**2. Let s be ((-2)\/(-4))\/((-3)\/(-24)). Suppose -96*q - 386 = 94. Let u(m) = 7*m**3 - 5*m**2. Determine q*p(d) + s*u(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 61. Let l = -5\/7 + r. What is the nearest to l in -25, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 120443*n**2 + 404*n - 93539695 wrt n.\nAnswer: 240886*n + 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let m(b) = 9*b - 5. Let g(i) = i + 2 - 5 + 1. Let r be g(-5). Let x(k) = -13*k + 7. Let d(c) = r*m(c) - 5*x(c). Determine z(d(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91102 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, -0.7, -2, 71\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 42335 + 21*y + 24*y**2 + 8*y**3 - 42335 in the form g + d*y**2 + v*y + i*y**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643236459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2 - o + 2. Let r be w(2). Suppose 115 = -5*n - 180. Let s = n + 61. Solve -q - 3*g = -2*g + 2, -s*g - r = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1940b - 0?\nAnswer: 1940b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*y + 6*y**3 - 26*y**3 + 230*y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**5 - 2*p**4 + 7*p**2 + 2*p + 2. Let q(h) = h**5 + h**4 - h - 1. Let s(l) = 2*q(l) + r(l). Find the third derivative of s(v) wrt v.\nAnswer: 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1188\/(-25))\/(((-32)\/(-40))\/4). Let x = r - -238. Which is the closest to -2\/11? (a) 4\/3 (b) x (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 267 - 909. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 29 = 5*p, 3*d = -9. Suppose -p*a + 4*a + 42 = 0. Find the second derivative of 6*c**3 + a*c - 29*c + 7*c wrt c.\nAnswer: 36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:04 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n + 2. Let d(w) = -1. Let f(p) = p**2 - 4*p - 1. Let x be f(5). Determine x*d(b) + i(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, -11, -5.\nAnswer: -15, -11, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 885338538 and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*3*(3 + sqrt(147))*3)**2*3.\nAnswer: 1275750*sqrt(3) + 4738500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*((-288)\/150)\/16.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*43\/((-17)\/(272\/16)).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 11 - 2)\/(3\/96). Suppose 0 = 4*o + s + 5 - c, -3*s = -o + 103. Does 44 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g - 3. Let p be k(3). Suppose -5*u = 4*b - 16, 2*b + u = 2*u - 6. Let q = b + p. Calculate the remainder when 14 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62136 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*y - 98*y + 44*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1) + 195 + -171.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 4. Let p be r(4). Let l(v) = -v + 2. Let x be l(2). Suppose 0 = 4*n - 3*a - 20, -n - a + x + 5 = p. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*v - 3 + 0 = 0, 0 = -4*v - 8. Let r = 112 - 109. Let g be (-11)\/((-77)\/r) - 36\/(-14). Sort g, -4, h in ascending order.\nAnswer: h, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 83733594 or 83733593?\nAnswer: 83733594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4.6, -61246 in decreasing order.\nAnswer: 0.2, -4.6, -61246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3193405 is divided by 123?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**3 - 74 + 11\/4*i**4 + 0*i + 1\/6*i**6 + 0*i**2 + 6\/5*i**5. Factor o(k).\nAnswer: k**2*(k + 1)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Are -3249411 and -3249401 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4673913, 4673914, 4673915?\n\"Answer: s + 4673912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 4 (b) 7\/13 (c) -1\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*d - 59*d = 4415 - 42671 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.93*-162603.\nAnswer: 476426.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 50 + p + 35 - 85 - p**2. Let c(r) = r**2 - r - 4. Let i(t) = -t**2 + t - 1. Let b(j) = c(j) - 5*i(j). Determine b(w) + 4*h(w).\nAnswer: 2*w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.5, 0.043713, -1\/3, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {f: 5, r: 4, i: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124 - 31410?\nAnswer: -31242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/((n**(-10)*n)\/n*n)*n*n**(2\/39)*n**(2\/9)\/(n\/((n*n\/((n\/((n*n**20*n)\/n))\/n*n*n*n))\/n)*n) assuming n is positive.\nAnswer: n**(3308\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10bbc15 (base 15) to base 8.\nAnswer: 55564621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -1) + 0)*(-17)\/17.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 5213.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 151170 and 140?\nAnswer: 2116380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 24*c**2 - 5*c - 96. Let k be h(-24). Let f(t) = -t**3 + 27*t**2 - 59*t + 54. What is the remainder when f(k) is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-3)\/(-9)*3)\/(2\/102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -157a2?\nAnswer: -157a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/25)\/(y*y**(2\/13)))**(-1\/7) assuming y is positive.\nAnswer: y**(362\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cnceeeens?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10200 (base 3) to base 5\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 4\/15*p**3 + 1\/5*p**2 + 0 + 9*p + 1\/10*p**4. Let a(h) = 0. Calculate h.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, d: 5}. What is prob of picking 3 d?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 4*v - 6*v + 28*v**2 + 810 - 11*v**2.\nAnswer: 19*v**2 - 2*v + 810","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*i - 16*i - 635 = 32*i. Suppose -2*u = -3 - 5, 4*g - 5*u + 16 = 0. Let h(v) = v**2 - 2*v + 5. Let p be h(4). Sort g, i, p in descending order.\nAnswer: p, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - -4. Suppose -5*p + 4 = 3*c, c + 3*c = 2*p + q. Suppose 43 = c*z - 65. Calculate the highest common divisor of z and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -5*(1 + sqrt(720)) - sqrt(720))*5)**2.\nAnswer: 15000*sqrt(5) + 450625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 82\/4437 and -121\/30?\nAnswer: 44370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**2. Let m(x) = -13*x - 1. Give m(n(b)).\nAnswer: -26*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/22 - (-1015)\/319.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwujkgmk. Give prob of picking 1 w, 1 g, and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u. Let g(h) = -232*h + 5. Let w(i) = 9044*i - 196. Let t(o) = 196*g(o) + 5*w(o). Give x(t(b)).\nAnswer: 504*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 7*t**5\/20 - 5*t**4\/8 - t**3 - 2*t**2. Suppose v(h) = 0. What is h?\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -1.08. Let q = -21 - -30. Let s = 14 - q. What is the smallest value in x, s, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/7700 and 109\/3500.\nAnswer: 38500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 215*q**2 + 880*q - 2660.\nAnswer: 5*(q - 2)*(q + 7)*(q + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17050\/50*(-42)\/462.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 2182*r + 17 + 15 - 2685*r.\nAnswer: -503*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10*i - 17 = -7*i, -u = -2*i + 42. What are the prime factors of (u\/(-10))\/(34\/2465)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/3 - s**2 + 19*s + 8. Let d be k(0). Let b = -9 - -14. Solve 4*j - d = -b*p + 6*j, 3*j + 1 = 2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 14*f**2 - 8*f - 88. Let c be g(-14). Suppose -54 = -c*o - 3*o. Solve o*z - 4 + 10 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2. Let s(m) = -3*m + 1483. Calculate s(o(v)).\nAnswer: -30*v**2 + 1483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/10*132\/1694*-7?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1790 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -270\/23, 2\/25, -1\/3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/(-15))\/(-4))\/((-43)\/(645\/(-18)))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 + 4.72. Let c = a - -13.8. Let p = -17.9975 + c. What is p rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*k - 0*r - 51, 4*k = 5*r + 63. Let a = 198 - 146. Suppose a = 2*h - 42. Calculate the remainder when h is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 311, 568, 897, 1292, 1747, 2256?\nAnswer: 2813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*w**6 + 2298*w**4 - 77510*w**2 wrt w.\nAnswer: 600*w**3 + 55152*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*3*(-54)\/189)\/(90*(-16)\/(-1008))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 396173353?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1378\/7 + 197. Which is the closest to 2\/5? (a) 0.4 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2045711 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h - 4. Let y be (1 - -3) + 5\/(-5). Let i be o(y). Let t(k) = -12*k**2 - 10*k**i + 19*k**2. Let f(j) = -8*j**2. Determine t(f(b)).\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 + 3*y - 1. Let v(d) = -d**3 - d**2 - d - 1. Suppose -9 = -3*p, 2*r - 3*p - 2 + 11 = 0. Let c be v(r). Let n be (-3)\/(2 + c) - 0. Calculate m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 3*t - 8*t + (2*t + 3*t - 4*t)*(-9 + 8 - 6)*(-4 + 4 - 4).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.134, -1\/7, 4\/3 in ascending order.\nAnswer: -1\/7, -0.134, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(13)*-2 + sqrt(13) - sqrt(13)) + sqrt(52)\/sqrt(4)*-4)*4.\nAnswer: -24*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + 10. Let x = 420.093 - 0.093. Let k = x - 421. Is v <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/(-9) + 926\/(-76). Let g = q + -6\/19. Find the common denominator of -9\/109 and g.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 86*i**3 - i. Let f be u(1). Suppose -4*t + 113 - f = 0. Let p(s) = s**2 - 4*s - 6. Let j(v) = -v**2 + 3*v + 4. What is t*j(o) + 5*p(o)?\nAnswer: -2*o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2)\/(5 - 6). Suppose i + 2 = -3*d. Which is bigger: d or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j - 43. Determine z(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p - 28*p + 6*p - p + 14*p - 50*p.\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20236135 is divided by 67453.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6*f + 174 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6935 + 6933. Which is the fifth smallest value? (a) 0 (b) -0.3 (c) 0.2 (d) 4 (e) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 6 = z - 1, 5*z + 5 = 5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32544.07 + -32544. Which is the second biggest value? (a) 4.1 (b) o (c) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -20 + -40 + (18 - 0).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) - (sqrt(1216) + 4)*-2 - (-2 + (sqrt(1216) - sqrt(1216)*3))**2) + (0 + sqrt(1216)*3)**2 + (sqrt(1216)*-4 + sqrt(1216))**2*6.\nAnswer: -40*sqrt(19) + 71748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 16*d**2 - 44*d + 32. Determine b(18).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11021 (base 4) to base 14\nAnswer: -197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6601698 minus 0.28?\nAnswer: -0.9401698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 5*p**2 + 9*p + 15. Let r be h(-6). Suppose -2*u - 11 = 55. Is u*r\/18*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, -1\/780, -5, -4, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*b**4 - 14*a*b**3 - 8*a*b**2 - a*b - 6*b**4 + b**3 - 2*b**2 + 2289*b wrt b?\nAnswer: 96*a*b - 84*a - 144*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Let j(o) = -6*o - 1. Let i(k) = -j(k) - 5*p(k). Give i(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2141, -4248, -6341, -8414, -10461, -12476?\nAnswer: -14453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-13 - (-4 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-40))\/((56\/7)\/(-8))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h - 42. Let t(q) = 15*q - 121. What is -14*a(x) + 5*t(x)?\nAnswer: 33*x - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88061709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2 = -1. Let k be c + 4\/(-6) - -3. What is the third smallest value in 1, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 3*o - 3*o. Let b(s) be the second derivative of s**4\/6 - 327*s. What is b(m(d))?\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 10 - 9*a - 16 as d + j*a and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 21367, 85505, 192417, 342103, 534563, 769797?\n\"Answer: 21387*x**2 - 23*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3915 - -3925. Solve -2*x = s + p, x - 22 = 5*s + 4*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 601*k + 22245. What is m(-37)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8))**(-12)*(h**7\/h)**(2\/23) assuming h is positive.\nAnswer: h**(2220\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and (-9 + (-5)\/5)*1\/(-2).\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 9, -1136.57, -13\/5?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71329 + 138720. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48477 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -9069131.156 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1524 - -2?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 19 = -4*v - 7, 0 = -5*k - 5*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 23 = 8. Suppose -5*b = 5*x - 11 + 1, -4 = l*b - 2*x. Let k(f) = -5*f**2 + b*f**2 + 10*f**2. Let m(y) = -8*y**2. What is m(k(p))?\nAnswer: -200*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 - -11)*28\/6. What is the common denominator of -3 + (1 - 261\/z) and 1\/1 - 170\/(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1032 and 29\/3424.\nAnswer: 441696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -62?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 9*x**2 + 9*x + 14. Let p(q) = 3*q**3 + 9*q**2 + 9*q + 14. Let n(v) = 4*c(v) - 3*p(v). What is the units digit of n(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/(-6))\/1)\/((-68)\/(-51))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3269 + -3269.5. Sort -8, -11, 0.3, w in increasing order.\nAnswer: -11, -8, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00407902156 rounded to six decimal places?\nAnswer: 0.004079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 75*p - 19*p - 28*p + 13 - 23*p - 6*p**3. Let r(a) = a**3 - a + 1. What is g(f) + 5*r(f)?\nAnswer: -f**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**3 + 634*p**2 - 50560*p + 49928 = 0.\nAnswer: 1, 158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5832, -11892, -18186, -24714, -31476, -38472, -45702?\nAnswer: -53166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428 and 2996.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-484)\/(-8))\/((-8)\/(-48))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8214*t**3 + 8214*t**3 + 73*t**5 + (2 + 0 + 1)*(t**4 + 3*t**5 - t**4).\nAnswer: 82*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3396 - -5153. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -41273804?\nAnswer: -41273806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776030.\nAnswer: 2, 5, 71, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t + 5971. Let k(c) = 7278*c. What is z(k(a))?\nAnswer: -7278*a + 5971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35030307.\nAnswer: 3, 13, 898213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 greater than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(64) + sqrt(16))*-3)\/(sqrt(360)\/sqrt(5) + sqrt(8) - (sqrt(96)\/sqrt(4))\/sqrt(3))*3)**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0148 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2729 + -1453. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -57677*x - 288411. Determine u(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1)\/(-2*(-2)\/158) and (-10)\/(-4)*(-265)\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 15. Let w be 0 - (-1 + 1 + 0). Suppose o*g - g + 22 = w. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.52 and -10.606?\nAnswer: 196.42312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -101, -199, -291, -377?\n\"Answer: 3*y**2 - 107*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 138 = -l + 1501, 2*y + 6578 = 4*l. Let z = -1060 + l. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1998\/(5 + -2). Let p = v + 246. Suppose -5*c + 1057 = -j, j - p = -4*c - 71. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2*o**2 + 8*o - 3. Let p be z(3). Suppose 0 = -p*d + 45 - 9. Solve 0 = -0*w - 4*w + 3*i - 7, d*i = -2*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -178, -510, -876, -1294, -1782, -2358, -3040?\n\"Answer: -3*l**3 + l**2 - 314*l + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3. Let u(v) = v**2 + 4*v. Let i be u(-3). Let t(j) = -j - 4. Determine i*r(c) + 2*t(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2668, -2666, -2662, -2656?\n\"Answer: c**2 - c - 2668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c + 37*c**3 - 4*c**2 - 26 + 2*c - 36*c**3. Let m be d(4). Which is greater: m or 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 + -68 + 16 + 17\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 466 divided by -6.\nAnswer: -233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1993, -3977, -5961?\n\"Answer: -1984*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:56 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 16432 - 15988 = 209616. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5*k - 1085, k - 1097 = -m - 3*m. Let l = 575 - m. What is l rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*g**3 + 37*g**3 + 15*g**3 - 69*g**3 + 76*g**2 wrt g?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/210 - 11*q**5\/20 - 23*q**4\/12 - q**3\/6 + 15*q**2. What is the second derivative of s(p) wrt p?\nAnswer: 12*p**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.3 - -59. Let i = 2.6 + l. Let t(x) = x**3 - 5*x**2 - 8*x + 9. Let g be t(6). Which is the third biggest value? (a) -5\/2 (b) g (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t - 32. Let f be l(-8). Solve f = 5*y + 2*y - 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2 (b) -1 (c) -0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*s + 5980 = -31*s + 213*s - 52*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 87744672 and -2.\nAnswer: 87744670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170 - 84 - 86 + 14038*l.\nAnswer: 14038*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 3. Let u be 2\/4*(4 + k). Let l(y) = 6*y - 6*y + 2*y**u. Let o(r) = -2*r**2. What is o(l(j))?\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 136? (a) 0.3 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 297*v + 2978. Calculate p(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 16, 1, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one quarter of a microsecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16 and 0.205.\nAnswer: -3.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.475641 to three dps.\nAnswer: -4.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -58 - -61. Let f = 0.2 + -0.1. What is the closest to f in o, 2\/3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-20)\/g*g\/g**(-10)*g**(1\/14)*g**(-9) assuming g is positive.\nAnswer: g**(-251\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 125. Suppose -245 = -17*b - 7. Let v be d(b). Calculate the highest common divisor of v and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/8 + (-2255)\/(-20).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 33 = -11. Let h(q) = q**3 + 9*q**2 + q - 3. Let x be h(-9). Is y at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**2\/7 + 84235*w\/7 + 84236\/7 = 0.\nAnswer: -1, 84236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1536 and 960?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-9) + (-14)\/(-3). Factor -12*y**2 - 3*y - d*y**5 - 18*y**3 + y**5 - 12*y**4 + y**5.\nAnswer: -3*y*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5990*m + 323493. Calculate w(54).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*t + 486 - 2*t**2 + 46*t - 128*t + 37*t + 3*t**3 + 0*t**3 as u*t**3 + j*t**2 + w*t + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184217, -368454, -552689, -736922, -921153, -1105382?\nAnswer: -1289609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26 - 26)\/((-6)\/2). What is the closest to -1 in 4, 14\/15, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/161*15\/10.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/289623792 and 85\/168947212.\nAnswer: 2027366544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5166776 (base 9) to base 8\nAnswer: 12417666","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7036 + 7042. Let h(x) = 13*x + 3. Let v(t) = 27*t + 7. Give k*v(m) - 13*h(m).\nAnswer: -7*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17b5d (base 15) to base 3.\nAnswer: -10220100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.181 - 0.029. Let v = r + -0.19. Which is the nearest to -0.1? (a) 0.3 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 348 in -6, 4, 80, 0.3, -1\/3?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 76, 74, 72, 70, 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10472 and 32956.\nAnswer: 1120504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 + -16. Calculate the remainder when j is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -988 = 4*i + 852. Let w = -101 - i. Suppose -8*j + 353 = -w. List the prime factors of j.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v + 0*v + v)*(2*v**3 + 3*v**3 - 7*v**3) + 11*v**4 - v**4 - 3*v**4 in the form u*v**3 + t*v**2 + n*v**4 + m + q*v and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 67\/5247 or 1?\nAnswer: 67\/5247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 892\/(-446)*6\/4*20\/(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 11*b + 36. Let r(z) = z + 3. Let o(u) = -j(u) + 6*r(u). What is o(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**2 + 3*t - 3. Let h(r) = r**2 - r + 1. Suppose g - 10 = -2*j + 3*g, -3*j = 2*g + 5. Calculate j*z(l) + h(l).\nAnswer: -2*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 10*p + 16. Let i be j(11). Solve -3*w - 4 - i = 0, -2*m + 5*w = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + l - 5*l + l + 3*l + (0*l + 3*l - 2*l)*(4 - 5 - 1) + 4 - 4 - 2*l)*(-4*l**3 + 4*l**3 - 2*l**3).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 21*y**2 + 5. Let z be t(-21). Suppose -5*a - 4 - 11 = -2*p, 3*p - z*a = 20. Solve -p*m = -5*q + 5, -3*q + 3*m = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b717609 - -5?\nAnswer: -b717604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -208*s. Let u(z) = -2*z**2 - 3*z. Let l(j) = 3*j**2 + 4*j. Let b(q) = -6*l(q) - 8*u(q). Determine r(b(w)).\nAnswer: 416*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {z: 10, b: 9, w: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + -22b?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 1 + 5. Let m be (-1*g - -2) + 10. Let r be (-54)\/m + (-4)\/(-10). Let h(n) = n + 9. Determine h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 175*x + 5 - 528*x + 175*x + 174*x. Determine i(-11).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3601 = -7*a + 5*a, -25074 = -7*p - 5*a. Calculate the remainder when p is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is aa528ca - -3?\nAnswer: aa528cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 7*h - 9. Let q be g(-8). What is the common denominator of q*3 + (-94)\/(-20) and -81\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 360, 1443, 3246, 5769, 9012, 12975, 17658?\n\"Answer: 360*w**2 + 3*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2796, 5, 4 in decreasing order.\nAnswer: 5, 4, -2796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-10))\/6*-2. What is the fourth smallest value in -2, a, 2\/3, -2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.948197kg to tonnes.\nAnswer: 0.005948197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41169, -40615, -40061, -39507, -38953, -38399?\nAnswer: -37845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 700*x**2 - 1405*x**2 + 707*x**2 - 10 - 2*x + 2*x**3 + 12*x**4 to c*x**2 + b*x + r*x**4 + q + m*x**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 - -38. Let a(v) = 3*v**2 - 4*v - 4. Let b(o) = 5*o**2 - 7*o - 7. What is y*a(x) + 4*b(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/734 in 2\/5, 0.1, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/6)\/(18\/(-3))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p**2. Let t(v) = -135*v - 2. Determine t(x(q)).\nAnswer: -675*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-7))\/(o*o**(-5)))**4 assuming o is positive.\nAnswer: o**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 9*w**2 - 7*w - 15. Let x(d) = 5*d**2 - 4*d - 8. Let t(l) = -4*o(l) + 7*x(l). Determine t(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*d - 14*d - 2*d**2 + d**2 - 2*d**2 + 0*d**2 + (-2*d**2 + d**2 + 0*d**2)*(-3 + 4 - 3).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + -1 + sqrt(320))*-5)**2 + (-2*sqrt(320)*-6 + -1 + (sqrt(320) - (sqrt(320) + 1 + sqrt(320))) + sqrt(320))**2)*6 + 1.\nAnswer: -4704*sqrt(5) + 324655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60141.98 nanometers to micrometers.\nAnswer: 60.14198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 169*j - 8. Let s(b) = 507*b - 25. Let w(n) = 11*r(n) - 4*s(n). Differentiate w(d) with respect to d.\nAnswer: -169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-8)*h)**(-17)*(h\/(h**(-13\/4)\/h)*h)\/(h**(-14)*h) assuming h is positive.\nAnswer: h**(485\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 4 = 2*q. Let d(k) = -2*k - 14. Let t be d(-10). Solve 5*b + x + 30 = 0, 4*b + 5 = -q*x + t*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -80. Let n(y) = -3*y - 8. Calculate the remainder when i is divided by n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -138037840, -276075682, -414113524?\n\"Answer: -138037842*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1181\/232 + (-7)\/56 - (0 - (-18 + 13))\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*k**3 + 37*k**2 - 40*k**2 - 10*k**3 + 3*k**4 - 3*k.\nAnswer: 3*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -41, -363, -899, -1649?\n\"Answer: -107*d**2 - d + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 59 = 119. Suppose 8*k = 2*k + r. Solve 0 = -v + 3*g - 4 + 14, k*v = -g + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-30))\/((-11)\/(286\/(-65))) - 427\/4830.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*1\/2)\/(627\/(-38)). Let l = -2\/73 - 343\/803. Let g = l - c. Sort -3\/5, -3, g.\nAnswer: -3, -3\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/2)\/5*-6. Solve 2*d + j = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29616692?\nAnswer: 2, 7, 1057739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 2\/9, -1\/7, 0.163?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 48. What is the highest common factor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -971 * 1\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -231 in -5\/7, -1, -2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 2. Let p be b(-5). Let s = 17 - p. Solve 5*q + 5 = s*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Suppose y = 2*t + 16 - 6, -24 = -4*y + 4*t. Solve w = -y*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus 368690541?\nAnswer: 368690541.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 17 - 2 = 0. What is the second derivative of 11*q**4 + q**4 + 25*q + 0*q**4 - w*q wrt q?\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61, 106, 137, 154, 157?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-10438)\/(-6) - (-5)\/15). Suppose 5*m + 0*o = o + 4350, -2*o + q = 2*m. Suppose m = -13*u + 18*u. Is u a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 - 2*i**2 + 3*i - 2. Let o be a(1). Suppose -u + 2 + 1 = 0. Put u, -5, o in descending order.\nAnswer: u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003259 to 5 dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-one thirds of a decade?\nAnswer: 2840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let b be a(-2). Let c be b*0*(-3)\/6. Solve 5*u + 5 = 5*y + 15, -2*u + 8 = c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 5*q - 3. Suppose 6 = -9*f + 12*f. Suppose 58*l = 66*l - 32. Suppose 3*r - l*j + 12 = 5*r, 3*r - f*j - 2 = 0. Calculate x(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71101\/9 greater than or equal to 7901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 4*g + 2*g)*(5 - 3 + 0 - 1 - 1 + 1 + (-3 + 6 - 4)*(-3 - 3 + 5) + 3 + 2 - 3 - 3 + 2 + 3 - 1 - 1 + 3)*(-6 + 2 + 1) in the form q + j*g and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -34. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -555, -1499, -3131, -5631, -9179, -13955, -20139?\nAnswer: -27911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2022 = 9*i - 2244. Let j = 3312\/7 - i. Is j smaller than -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + 20\/6. Let v(n) = 2*n**2 - 3*n + 2. Let p be v(r). Calculate the highest common divisor of p and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/5 + (-32)\/(-80).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = -5*u, -2*u - v - 10 = -2. Let l(m) = -m**3 - 5*m**2 + 8*m + 5. What is l(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nff when three letters picked without replacement from enfnnefnnnnennfnnfnn?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -261292 - -439.\nAnswer: -260853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.41 + 0.01. Let j be -5*(2 + -3 - (-37)\/35). What is the smallest value in j, g, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 29.04?\nAnswer: -174.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 27 + -18333\nAnswer: -18306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7378 is divided by 3652.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 44. Suppose -i + 0*i = 0. What is the smallest common multiple of 3\/(-9)*i + 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-938)\/192290*(-1)\/1*5)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctccccpcc. What is prob of sequence ccp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 14*h)*(0*h + 0*h + h) + (-h + 0*h + 2*h)*(4*h + 3*h - 5*h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 0.2957\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14215 + -14213?\nAnswer: -32432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 bigger than 63\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31022261 (base 8) to base 13\nAnswer: -148a338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328477015?\nAnswer: 5, 677, 97039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50281?\nAnswer: 7, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -193, -429, -759, -1183?\nAnswer: -1701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -6*u - 162. Let h = u - -63. Suppose 32 = -7*l + h*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11157*q**3 - 5*q - 905?\nAnswer: -66942*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 507 and 30?\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -0.658532.\nAnswer: -0.329266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3554 + 14506 = 0. What are the prime factors of x?\nAnswer: 2, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/3)\/(18\/30)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589 - 1433 = 186*k - 21*k + 783 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 - 8*c - 2. Give k(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 29 = 4*c, 217*c - 213*c = 2*b - 14 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15 (b) -3\/7 (c) -8 (d) 4 (e) 0 (f) 5 (g) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = 4*s, 6 = 5*u - 2*s + 31. Let l be (-2)\/(-1) - (-4)\/u. Find i, given that 0*i - 2\/3*i**2 + l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -107. Suppose -2*i = -2*o - 4, 0 = -4*o - 6*i + 2*i - 8. Sort v, 2, o in increasing order.\nAnswer: v, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2 = -4. Suppose -b = 4*y - 1044, -h*b - 3*b = -3*y + 806. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + 3 + (-1 + sqrt(272) - sqrt(272)) + sqrt(272) + sqrt(272) + -5 + -4)*-3)**2.\nAnswer: -1512*sqrt(17) + 22473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336889 and 97223?\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nfnnfnnffffnfn. Give prob of picking 1 n and 3 f.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026247105 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.4, 2\/35, -5, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 33. Solve -2*y + m*o - 21 = -5*y, -y + 3*o - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687012 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y = -33*y - 3*s + 148, 2*y - 53 = 5*s. Let u be (9 - 1)*6\/4. Let t = y - u. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*o + 24 = 0, 3*a - 8*o + 3*o - 77 = 0. Round a to the nearest integer.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2754*p**2 - 2 + 2752*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 divided by -47?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 171656065 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30048 divided by -3.\nAnswer: 10016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x + 24. Let f be q(3). Let y be 0 + f - 90\/(-105)*-7. Solve -3*i = 0, y = 5*g - i + 3*i + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-6) - 2)*-2. Is m > -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -180058*n**4 - 4*n**3 + 3132944 wrt n.\nAnswer: -720232*n**3 - 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30088 and 7948.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 0.19 (c) -0.5 (d) -3 (e) -1\/3 (f) -461 (g) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-9\/2)*m**(-4\/11) assuming m is positive.\nAnswer: m**(-107\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30590123 is divided by 66356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 112 + -100. Calculate the remainder when x is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5 - 5873*h + 6326*h to w + y*h and give y.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244470*a**5 + 3*a**4 - 4*a**2 + 1350*a - 2427.\nAnswer: -4889400*a**3 + 36*a**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 14. Find the second derivative of 10*d + 4*d + 4*d**3 + 4*d**5 - 4*d**g wrt d.\nAnswer: 80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1467 by -9.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/30)\/16*-3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 5*y = 2*y + 20, 3*b + 22 = 5*y for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 2*n**3 + 0*n**3)*(1897 - 3666 + 106*n + 1831 + 650*n).\nAnswer: -756*n**4 - 62*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385.7486 decades in millennia?\nAnswer: 3.857486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52404612?\nAnswer: 2, 3, 13, 61, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbf. What is prob of picking 1 f and 2 b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7377.375 years to centuries.\nAnswer: 73.77375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*v + 6*v + 2, 5 + 0 = -3*v + y + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -133*v - 27*v - 1 - 1023*v as c*v + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1528\/7 + 218. Which is the biggest value? (a) j (b) -1 (c) -11 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 0, 3*c + 10*c = b - 4*c + 13*c - 7 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/4005450 and 41\/210.\nAnswer: 28038150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -8*o**3 + 101*o**2 - 273*o + 23. Calculate x(9).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51225 is divided by 6401?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 18*x**2 + 25*x + 10. Let a(s) = -159*s**2 - 226*s - 96. What is -2*a(z) - 19*r(z)?\nAnswer: -24*z**2 - 23*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 983256 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: Let t(g) = 7*g - 32. Let y be t(4). Let j(p) = p**3 + 5*p**2 + 1. Let i be j(-5). Let z = -3 - i. Is y greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-102)\/680 - (5 + -2*27\/10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29753 + 29753 - 650*r.\nAnswer: -650*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 24162.8ng in grams?\nAnswer: 0.0000241628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(49\/(-2))*7. Let k be x\/3 + (-14)\/(-6). Solve -g = -t + 6*t - 13, k*t - 3 = g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14688127 is divided by 5824?\nAnswer: 5823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*f**2 - 7*f + 7*f + f**2 + 4*f - 4*f + (0*f + 3*f - 5*f)*(-2 + 2 - 2*f) + 3*f**2 + f**2 - 5*f**2.\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 16 + 4*y**2 + 0*y**2 - 3*y**2 + y**3 + y. Is 16 a factor of j(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ec3222 + -1?\nAnswer: 1ec3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, m: 5}. Give prob of picking 2 m and 2 a.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 295201976?\nAnswer: 2, 2087, 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -1030?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -1 - 14 - -6 - 9 - -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (151 - 0) + (-1)\/((-2)\/(-8)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-96*y - 92*y - 193*y)*(0*y + 2*y - y)*(3*y + 5 - 5).\nAnswer: -1143*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3067*l - 3071*l + 3*g - 15 = 0, -5*l = 2*g + 20 + 16 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 468, 1016, 1564, 2112?\n\"Answer: 548*k - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-21)\/(-3) - 5\/(60\/(-36)). What is the greatest common factor of m and 2270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 73*t - 78*t. What is the second smallest value in 1, 2\/7, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18746 - 18746.3. Which is the closest to x? (a) -145 (b) 2\/3 (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 4*p - 6. Suppose 2*q + p*x = -x, 0 = -4*q + 3*x + 18. Is q\/(3\/(-10))*24\/(-3) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*l + l - 3*l)*(-130*l - 148*l - 157*l - 117*l)*(2 - l**2 - 2) as y*l**2 + u*l + q*l**4 + d + f*l**3 and give q.\nAnswer: -3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -4, 0.06, -9, 3 in descending order.\nAnswer: 73, 3, 0.06, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1618806?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 5*a**2 - 5*a - 5. Let j be (-5)\/(-1)*(-21)\/(-35). Let b(n) = -2*n**3 + 3*n**2 - 3*n - 3. Calculate j*y(h) - 5*b(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101000101111 (base 2) to base 11.\nAnswer: 5044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) 9 (c) -0.003\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352442 is divided by 86429.\nAnswer: 6726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116 or -3949?\nAnswer: -3949","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 16 = 14. Let t(s) = -s - 5. Let m(g) = -1. Let v(c) = z*m(c) + 2*t(c). Let l be v(-4). Is l at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4 = 2*j, 0*j = 4*t + 5*j + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 585, -11\/12, -12.9 in decreasing order.\nAnswer: 585, 0.5, -11\/12, -12.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 388?\nAnswer: -37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 2*q**2 + q + 17. Let o be ((-12)\/9)\/((-12)\/(-18)). Let u be -2*(-5)\/4*o. Is w(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6 - (2 - (-2)\/1). Suppose -z*v + 78 = 24*v. Solve -v*a - 5 = -5*g - 2, -a = -3*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*h - 503*h + 4841227 = 427846. List the prime factors of h.\nAnswer: 3, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102120201212 + -2111?\nAnswer: -102120211100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5161, 2\/17 in decreasing order.\nAnswer: 2\/17, -1, -5161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*t - 55. Suppose -9*j + t*j = -4. Let a be (-11)\/(-22) + 9\/j. Sort -3, 1, a in decreasing order.\nAnswer: 1, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5 = -3*l, 3*q = l + 4 - 3. Suppose 4*s - l*s = -2*f - 10, -5*s - 2*f - 10 = 0. Let h = 2 + 3. What is the second smallest value in s, -3, h?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + k**2 + 2. Suppose 4 = 2*q + 2*q. Let s = -195 + 197. Let r(x) = -x**2 - 1. Calculate q*m(h) + s*r(h).\nAnswer: h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 4\/5, -0.1, -566.\nAnswer: -566, -3\/4, -0.1, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o**(4\/3)*o)\/o*o**(16\/7))**(-48))**(-14\/9) assuming o is positive.\nAnswer: o**(3776\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = c + 5*n, c - 2*c - 2*n - 6 = 0. Let y be (3\/9)\/((-2)\/c). Is y*-1*(-11)\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4466 - 129511\/29. Suppose -3 + 4 = b. Is b at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -8\/5 (b) -1 (c) 0.2 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106153 + 3?\nAnswer: -106150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 24*k**2 - 26*k - 25. Let z be b(25). Let u = -212 + z. What is the units digit of u\/(-8) - ((-21)\/(-12) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -90, -11, 0 in descending order.\nAnswer: 3, 1, 0, -11, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s - 4 = n, -3*n + s + 32 = 0. Suppose 4*u + 18 = 6*c, -11*u + 13*u - 16 = -2*c. Suppose u*f - f = n. Solve -r - f*j = -2*j - 25, j = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2638609 and -8941.9.\nAnswer: 2629667.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**5 - 8*j**4 - 2*j**3 + 6*j**2 + 3*j + 2. Let b(d) = 12*d**5 + 105*d**4 + 27*d**3 - 78*d**2 - 39*d - 27. Let n(o) = 2*b(o) + 27*g(o). Factor n(p).\nAnswer: -3*p*(p - 1)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*t**4 + 1358*t - 55*t**4 + 336*t**5 - 47*t**4 wrt t?\nAnswer: 6720*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 23*w**2 + 5*w - 10. Let r(x) = -128*x**2 - 28*x + 56. Let m(o) = -28*p(o) - 5*r(o). Let h(i) = -8*i + 0*i + 27*i**2 + 8*i. What is h(m(k))?\nAnswer: 432*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -13*h**3\/3 + 1. Let g(c) be the first derivative of -2*c**3\/3 + 51. Calculate g(a(v)).\nAnswer: -338*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10510 * 0.3\nAnswer: 3153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 y when three letters picked without replacement from dykdddddkddkddddzyd.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125731 - 7?\nAnswer: 125722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:21 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vwtrvttvlrr. Give prob of sequence tvtl.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 454541920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 2*c - 1 - 5, 0 = -2*d - 3*c - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 168233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 5. Find the third derivative of 2*x**6 - 6*x**6 - 2*x**j + 3*x**2 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -2\/17, -1\/3 in increasing order.\nAnswer: -1\/3, -2\/17, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.91668 rounded to 3 dps?\nAnswer: 2.917","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(2 + (sqrt(448) - -6*sqrt(448))**2 + 0 - (-5*(-2 + sqrt(448)) + sqrt(448) + (sqrt(448) + -2)*5)).\nAnswer: -144*sqrt(7) + 395172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 40330 (base 5) to base 9\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**4 + 6*c**4 + c**4)*(125 - 109*c + 119 - 243).\nAnswer: -545*c**5 + 5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42.06 and -0.8.\nAnswer: 41.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000839036 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 57*t + 10. Let w be r(14). Let n be 2\/8 + 3*(-4)\/w. Which is the closest to n? (a) 0.3 (b) 0 (c) -1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 41 - 41 - (8 - (1 - 3)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3649*b**2 + 5*b - 5. Let j(m) = 5474*m**2 - 7*m + 7. Calculate 7*h(a) + 5*j(a).\nAnswer: 1827*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + -3 + sqrt(14)\/(-3*sqrt(7)) + 5.\nAnswer: 2 + 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2e0 (base 15) to base 3\nAnswer: 220110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1938 - (-2 - 1 - (-29 + 22)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 2:24 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 11. Suppose -1315 = 5*x - 10*x + b*a, -4*x - 2*a = -1052. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**5*i*i*i**(-2\/9)*((i*i**(-1\/4))\/i)**14)\/((i**0)**(-2\/45)\/(i**0*i)**(-26)) assuming i is positive.\nAnswer: i**(-373\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1259\/38 + 254\/19. Let q = -44682050 + 982812063\/22. Let g = -8778 - q. What is the common denominator of g and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:47 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2\/5 + 447*n\/5 - 3204.\nAnswer: -3*(n - 89)*(n - 60)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 868 = -2*c. Let x = c + -146. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 11 = j. Let d = j + 15. What is the derivative of 0 + w + 1 - 4 - d*w wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p - p)*(14 - 6 + 8 + 0 + 3 - 5 + (-1 + 2 - 2)*(1 - 4 + 2) - 4 + 5 - 3).\nAnswer: -39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 358825074*d**3 - 369496502*d**2.\nAnswer: 2152950444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*1*(-52)\/8. Solve o + 17 = 5*k - 5*x, 3*k + 5*x + 6 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-18))\/(r*r**20)*r**(-19)*r*r*r**(-27)\/r assuming r is positive.\nAnswer: r**(-82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-153)\/(-6)*(-12)\/(-90) - 3\/(-5). What is the fourth smallest value in 0.12, 1\/13, 1\/6, f, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 14*h + 64*h + 25 - 34*h + 126*h. Let n be f(12). Let w = n - 996. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 10:48 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0\/(-4 - -2))\/2. Suppose -7*c - 131 - 93 = g. Let k be ((-3)\/(-2))\/((-3)\/c). What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiwe when four letters picked without replacement from {f: 1, w: 4, x: 2, m: 2, i: 3, e: 2}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.195 and 0.2.\nAnswer: 8.395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 + -392. Solve -111*m + n*m + 25 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5 - -3.1. Let m = 3 - q. Which is the smallest value? (a) -0.2 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**2 - 25*g**2 - 80*g**2 + 119*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -88\/23389?\nAnswer: -88\/23389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -4\/5 (b) 1 (c) -8 (d) -1.217 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l + 29. Let m be n(0). Suppose m*g - 72 = 11*g. Find the first derivative of 8*k**g - 47*k**4 - 27 + 63 wrt k.\nAnswer: -156*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-660)\/18*(-6)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -110. Let x = t + -71. Let d(y) = 6*y. Let q be d(2). Calculate the highest common divisor of q and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n - 3*a = 16, -4*a = 5*n + 47. What is the units digit of (-6 - -4)\/(-2) - n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 51 + -107 + 35.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 - -27. Let a = u - 7. Suppose 3*v = -a - 4. Sort 3, -5, v.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*z + 14*z + 11610. Suppose 4*h - 73 = 51. What is the remainder when z is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 22. Calculate n(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3\/14, -14\/5 in decreasing order.\nAnswer: 0.4, 3\/14, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 7 = -3*q, -3*k + 0*q = 4*q + 24. Suppose -6*l - 6*l - 12 = 0. Let d = l - k. Solve -8 = -m + d*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6985 - -810355\/116. Find the common denominator of 73\/6 and s.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1327 divided by 466.\nAnswer: -1327\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(44) - sqrt(30)\/sqrt(3)*2)\/(6*(sqrt(245) - (sqrt(245) - sqrt(245)*2)) + 4*-1*sqrt(245)).\nAnswer: -3*sqrt(2)\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/40 + (18\/(-28))\/((-36)\/(-21)*-1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2031838360 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u + 4*u + 202*u**2 - 9*u in the form f*u**2 + q*u + h and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*n + 5 - 1, 5*t - 26 = -4*n. Suppose -c + 2*u + 10 = -0*c, -t*u = 2. Solve 0 = 5*r + 6*j - 2*j + c, 4*r = j - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -416, -4, -368 in ascending order.\nAnswer: -416, -368, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.51 + -0.61. What is the closest to 2 in d, -7, -2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 5\/6 (b) -1020\/11 (c) 1\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -17*w. Let t be 1\/6*(-16)\/(-6). Let f = -2\/9 - t. Which is the closest to f? (a) 4 (b) 1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**29*x**(-2\/9)\/x)**22)**22 assuming x is positive.\nAnswer: x**(121000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 94. Let z be (-210)\/4*(r + 14). Let s = z + 294. Calculate the highest common divisor of 21 and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -459.\nAnswer: -137.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-7)*-1)\/(34\/136)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 320 - -2?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeexxeeexxxx. What is prob of picking 3 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuuli. What is prob of sequence uy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4\/7, 0.17, -3, -0.2, 1\/13?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/330901?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 43221426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*h - 31273 = -33122 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**31*c)\/c)\/(c*c**29))**(-2\/29) assuming c is positive.\nAnswer: c**(-2\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14133145373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa (base 13) in base 2?\nAnswer: 10100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 3:37 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 159 = -0*p - 3*p, -269 = -5*p - 4*y. Let x = 55 - p. Is -3 - (-1)\/(x\/(-1172)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -159279, -159277, -159275, -159273, -159271?\n\"Answer: 2*n - 159281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 545612, 3 in decreasing order.\nAnswer: 545612, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10278?\nAnswer: 2, 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04*-48.31.\nAnswer: 1.9324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -112.9232\nAnswer: -33.87696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 1\/1121 (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4906.\nAnswer: 2, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + o - 1. Let b(f) = f**3 - 4*f**2 - 9*f + 3. Calculate b(j) + 3*s(j).\nAnswer: j**3 - j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgbnugnybny. Give prob of sequence gy.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.9 + 3. Let b = 0.5 + 0. Let o = -0.0358 - 0.0242. Put b, x, o in decreasing order.\nAnswer: b, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*o + 51*o + g + 11 = -45*o, -21*g = 13*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-1 - 3))\/(-1). Let i = 1 - r. Suppose -i + 19 = 5*v. Solve 0 = -q + 5*z + 21, 0 = 2*q - v*z - 24 + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + -4 + 2 + sqrt(13).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b + 79 = 3*z, 0 = b - 255*z + 251*z - 23 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 + 99 - 18)*(1 - 1 - 2)*(-34*i - 51*i + 0 - 4 + 2).\nAnswer: 26860*i + 632","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -286, -2, -96478, 3 in descending order.\nAnswer: 3, -2, -286, -96478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*h - 4, 0*h + 3*f = -2*h - 2. Suppose -4*p + h = -1270. List the prime factors of p.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, -1, -102 in decreasing order.\nAnswer: 63, -1, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-138)\/4*(-24)\/18. Let r = g - 7. Calculate the common denominator of 1 + 381\/18 + -1 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*a**5 - 188\/13*a**3 - 380\/13*a**2 - 98\/13 - 34\/13*a**4 - 322\/13*a.\nAnswer: -2*(a + 1)**3*(a + 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = -v + 127. Round v to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3627097 + 0?\nAnswer: 3627097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 4*t + 10. Let m(z) = -z - 1. Let v be m(-1). Let d(c) = v*c**2 + 0*c**2 - t*c**2. Let b(h) = h**2. Determine d(b(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*g**4 + 8*g**4 - 11*g**5 + 0*g**4 + 4*g**5 + 2*g**5 - 4*g**5 + (1 + g - 1)*(g**4 - g**4 + 2*g**4) + g**5 + 3*g**5 - 3*g**5.\nAnswer: -6*g**5 + 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11620 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 10*r - 2*r + 0 - r**2 - 4. Let n be q(3). Find the second derivative of n*h**3 - 11*h**3 - 4*h**4 + 2*h + 0*h**4 wrt h.\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from iiiiioiiiiiioiiiio.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*o**2 + 16*o**2 - 4*o**2 + 19699*o**3 - 19640*o**3.\nAnswer: 59*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1 + 2*c + 2*c**2 - 2*c**2 + 2*c**2. Let o be h(1). Suppose -o*v - s - s = 4, -s = -2*v + 9. Solve 2*z = -v*n + 8, -5*n - 2 = -n - 5*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -1240*w. Let a be n(5). Let r = -124109\/20 - a. Let i = 744 - 1409\/2. Find the common denominator of i and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*i + 252 + 840 = 79*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - p + 4 = 0, -3*g - 2*p + 79 = 0. What is the remainder when 73 is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.44*16.\nAnswer: -103.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -1\/120*c**5 + 0 + c**2 - 1\/16*c**4 + 0*c - 1\/6*c**3. Let i(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = -0. Let x(b) = -14*b - 4 + 5*b**3 + 6 - 11*b**3 + 7*b**3 + 13*b**2. Let r be x(-14). Solve 3*u + 3*j + 21 = 0, -2*u = s*u - r*j + 16 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {o: 1, j: 3, v: 1, r: 1, u: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 813 - 435. Is v a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29*t**3 - 8964973*t + 8965909*t + 41*t**2 - 18*t**3 wrt t?\nAnswer: -282*t + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 9. Let s be l(-7). Suppose 37 = -s*q - 33. Let f = 29\/2 + q. Sort -3, -1, f in ascending order.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -28. Let n = 24 + t. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -13 (b) -17\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -41\/7 (b) 46 (c) -6244 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 - 3.6. Let m = d + 4.1. Let o = 37\/144 + 3\/16. Which is the nearest to 1\/4? (a) o (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*w, 5*t - 6*w + 3*w = 82. Let l = 59 - t. Does 22 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 - -6. Let z = w - -0.2. Let r = z - 7.00035. Round r to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/1357 - -23061\/10856. Find the common denominator of -5\/8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257938277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 24.7192 to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87660 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 233037?\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 323911010.\nAnswer: 2, 5, 32391101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*(-5 - -8). Let p be (r + 0)\/(2\/(-6)). Solve 5*u = u - p*h + 32, -5*u + 13 = -3*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.81026 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (-3296160)\/(-108)*1\/(10\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99324 = -214*z - 854*z for z.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1497405*n**3 + 82*n**2 + 412945887 wrt n?\nAnswer: 4492215*n**2 + 164*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 4*n**2 + 3. Let b be z(4). Solve 1 = 4*s - 3*f + 2, b = -4*s + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 115 = 49*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l - 5 - 2*l**2 - 24 + 27)*(2 - 2 + l)*(-4 + 3 + 3)*(-1 + 5 + 0) to s*l**3 + m + k*l**2 + w*l and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557 = 4*g - 183. Let v = -16 - -13. Is 10 a factor of (-4)\/(-6)*-1 - g\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.01, 115\/2, 1.2, 5.2 in descending order.\nAnswer: 115\/2, 5.2, 1.2, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.6869 and 0.3.\nAnswer: 4.40607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -181*n. Let y(v) = 7*v. Give y(x(l)).\nAnswer: -1267*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251.89 rounded to the nearest ten?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2. Let i(o) be the third derivative of -34 + 21\/4*o**4 + 2*o**2 + 0*o + 0*o**3. Calculate i(c(q)).\nAnswer: -252*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4\/2 - 9*w**3 + 15*w**2\/2 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17d5 + c21a?\nAnswer: da11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2557\/704 or 3?\nAnswer: 2557\/704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 138\/30) + 13\/5. Solve -2*p - 2*y + 4 = p, -h*y = 4*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -2*s - 1, 2*o = -4*s + 34. Let p be 960002\/s - (-12)\/(-36). What is p rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 262320 by -40.\nAnswer: -6558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -856*u - 3460*u + 422*u - 876*u to the form y + v*u and give v.\nAnswer: -4770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by -75.\nAnswer: 27\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1420, -1421, -1422, -1423, -1424?\n\"Answer: -a - 1419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - n. Let u be h(-1). Find the first derivative of 10 + 0*k**2 - 3 + 5*k**2 - u wrt k.\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 401 divide 324010406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -23, -132, -1, 1, -150.\nAnswer: -150, -132, -23, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (424\/(-1908))\/(((-4)\/6)\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 880, 1761, 2646, 3535?\n\"Answer: 2*c**2 + 875*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31296 and 2771?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90*p**3 + 2 + p - 79*p**3 + p**2 - 184*p**4 + 183*p**4 to k*p + n*p**4 + h*p**3 + m + z*p**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1411 + -37?\nAnswer: -1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + y. Let g(p) = -52*p**2 + 65*p. Calculate -2*g(b) + 130*i(b).\nAnswer: -26*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 124648 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203830 or 5503376\/27?\nAnswer: 203830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 12*k + 80. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + 23*n**2 - 7*n**2 - 6*n**2 - 15*n**2 - 14*n**2 + 7*n to the form b*n**2 + p*n**4 + h*n + t*n**3 + i and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 715 = -j. List the prime factors of j.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o - 10. Let x be y(10). Solve 3*s + 5*h = 8*s + 25, -2*s + 3*h - 15 = x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let i(p) be the first derivative of p**6\/180 + 5*p**3 - 14. Let r(z) be the third derivative of i(z). What is w(r(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - 28. Is (d*-1 - 493560\/36)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 + (2 - -35) - -63?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228952*z**2 - 1 + 614203*z**2 + 614722*z**2.\nAnswer: -27*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - ((0 - 7) + -4)) + (0 - -12)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - d**2 - 3*d - 5. Suppose -3*j - 5*v + 0*v + 56 = 0, 3*j = 5*v + 16. What is the remainder when j is divided by m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 5*k**2 + k + 6. Calculate the remainder when 41 is divided by m(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*q - 172*q - 16 = -2*d, 5*q + 34 = -d for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -167130?\nAnswer: 167125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-120)\/25)*-4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cyccaicxccacacyiifii. What is prob of picking 2 y and 1 x?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 659*r + 28. Let v be h(1). Let j = v - 510. What are the prime factors of j?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 46. Is (-1362)\/v + (-4)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-4*(-1 - 0)). Is -1 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-20))\/((-54)\/162*(-36)\/(-8))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -91, -245, -471, -775?\n\"Answer: -x**3 - 27*x**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(2 + -3)*(2 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 2*w**2 - 1. Suppose -5*j - 510 = -11*j. Let o = j + -83. What is v(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17413\/10 - -1746. Find the common denominator of j and (-81)\/8*(-4)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 6 = -1. Solve -12 = 2*b - m*g + 16, -4*b = 4*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 11*i + 23. Let v be d(-12). Solve 4*m - 5*a = -v, -2*m - 5*a - 17 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35274027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -241.\nAnswer: -4\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 + 5852*q**2 = 0?\nAnswer: 0, 1463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550.693 + -551. Let o = -0.257 - y. Is -0.03 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 29566.8 millennia?\nAnswer: 295668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*i + 4*i - 20 = 0, 4*i = 0. Let a = 16 + n. Suppose 0*u - 36 = -2*u. Calculate the smallest common multiple of a and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 8:32 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 5*s - 5. Let i(k) = 1. Suppose -2*t + 8 = 2*t. Let m(o) = t*i(o) + v(o). Let r be m(4). Solve d + r = 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 - 8 - 1 - 4 - b. Let g be q(-19). Suppose g*l = 72 - 16. What is the greatest common divisor of 224 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -513164496 divided by -3?\nAnswer: 171054832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 9*w**2 - 605*w - 266. Give v(68).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 171135206*j + 326545509 with respect to j.\nAnswer: 171135206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 2, h: 2, i: 1}. What is prob of sequence iep?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -4*o**5\/15 - 2*o**4\/3 + 4*o**3\/3 + 8*o**2\/3 - 16*o\/3 - 12. Determine h, given that w(h) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b. Let x(h) = -4*h**2 - 5*h - 5. Let a(w) = -w**2 + w - 7 + 2*w**2 + 8. Let i(t) = -10*a(t) - 2*x(t). What is i(k(s))?\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 13, 8 in descending order.\nAnswer: 13, 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diiziiizd. Give prob of sequence ii.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328 and 42886?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1648 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3889 divided by -30385.\nAnswer: 3889\/30385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1619 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -137130000 to the nearest 1000000.\nAnswer: -137000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-609)\/(-1305)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2023398 by -39.\nAnswer: 51882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2108.867 + 2108. Let l = -0.133 + o. Which is the fourth smallest value? (a) l (b) 0.04 (c) 5\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + h + 5 = -u, 2*h = -2*u - 10. Let p be 0 + (-3)\/(-30) + u. Let n = 3.2 - 3. Which is the third biggest value? (a) p (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u. Let b(o) = 268558*o + 2. What is b(s(a))?\nAnswer: -1342790*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**2 + 34263*f - 1433754 = 0.\nAnswer: 42, 11379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35666*j**3 - 12*j**2 - 38340482*j + 2.\nAnswer: 213996*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278917*-0.9.\nAnswer: 251025.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 - 6*x - 3. Let s(t) = t**2 - t - 16. Let w be s(4). Give z(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10925*22.\nAnswer: -240350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8813\/(-3777)*2\/(4\/42)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 5, o: 4}. What is prob of sequence db?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -5063896 and -30383381\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-3.6.\nAnswer: 0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1\/5, 23.\nAnswer: -2, -1, 1\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460761351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282989 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.09 - -0.09. Let k = -7 - f. Is k >= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v - 4*v - 1 - 8*v - 5*v. Give d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/78384 and -71\/300.\nAnswer: 1959600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 34. Let o = i + 29. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-233*r + 268 - 138 - 132)*(5*r - 2*r - r) + (4 + 0 - 3)*(-2*r**2 + 0*r**2 + 0*r**2).\nAnswer: -468*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g**4\/3 - 199*g**3\/3 - 784*g**2\/3 - 524*g\/3 + 128 = 0.\nAnswer: -2, 3\/7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 628 = -640. Suppose l - 5*t = -f, 0 = -l - 5*t + 2*t - 357. Let g = l + 785. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 19*h - 15*h**2 - 4 - 1 - 11*h**2 + 6*h**2. Let v(u) = -2*u**3 + 14*u**2 - 39*u + 143. Let k be v(6). Determine x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 2707.\nAnswer: 37898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/15, -5, -3\/2, 0.38, 57\/10, 1\/9?\nAnswer: 57\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21\/19, 0, -1\/32 in descending order.\nAnswer: 0, -1\/32, -21\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 + 2 + 0 - c**3)*(0*c - c - 3*c) - c**4 - c**4 + 4*c**4.\nAnswer: -6*c**4 - 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 3*(-4)\/(-12)*-1. Let v be (5 - r) + 16 + -21. Does 7 divide -42*((-3)\/(3 + v) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 10*a + 5. Let y be o(-10). Suppose -2*x - 4035 = -4*s - 12141, y*s - 8070 = -2*x. Suppose -x = 6*k - 10411. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose -z = 2*m + 5*f, -3*m = 5*f + 10 - 3. Let x = 0.085 + -0.085. Which is the closest to x? (a) -1 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000001220 (base 3) to base 16.\nAnswer: -4d16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -16, -j - 4*v = -2*v - 5677. Let g = j - 2026. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6839384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37c + -13493?\nAnswer: -13115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/3)*y\/y**19 assuming y is positive.\nAnswer: y**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61211113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24522*h - 34404366. What is k(1403)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 2*q**2 + q)*(-6*q**2 + 2 - 4 + 1) to s*q**4 + x + f*q**3 + r*q + u*q**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 491, 497, 503, 509, 515, 521?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3701136 to 3 decimal places.\nAnswer: -3.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6099*q - 66. Let w be s(14). Let o = -297320 + w. Round o to the nearest ten thousand.\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-3)*(-6 - -9) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000281203489 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 6541 - 6266 = -16*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 722483 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 272777 (base 8) in base 12?\nAnswer: 474a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -59f0 (base 16) in base 10?\nAnswer: -23024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -175, 0 in descending order.\nAnswer: 3, 1, 0, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(208)\/sqrt(4)*-2*6)\/(-3*sqrt(12)\/sqrt(3)*2).\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9260051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31 + 120?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -31 + 10 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014247364 to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -138*v - 905. Is i(-7) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*a**2 - 8 + 1 - 10*a - 1.\nAnswer: 68*a**2 - 10*a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11*f**3 - 4 + 3.\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 78. Suppose -454 = -j*l + 586. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -473*c + 130*c - 85*c + 100*c.\nAnswer: -328*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*n**2 - 13*n + 3*n**2 + 12*n - 28*n**3 - 6*n**2 + n**2 as m + i*n**3 + k*n**2 + c*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279152 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + 10 + -24.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m. What is w(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8413*f + 24829. Calculate q(-3).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 794, 805, 814, 821?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -7*c**2 + 117 + 21*c - 235 + 111. Differentiate x(z) wrt z.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 12*q = 8*q - 6080, -4*m + 2*q = -6088. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8246?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 1. Let s(i) = 3*i - 1. Let g(y) = -5*s(y) + 10*x(y). Let l be g(-9). Suppose 5*k = o + 15, -2*o + 5*k = -6*o + l. Solve -4*j + o*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of 2 - 49\/5*s**2 - 71*s - 7\/15*s**3 - 1\/120*s**4. Determine r, given that k(r) = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v**2 + v + 6. Let h be b(6). Suppose -3*k = -a + 29, 0 = -a + 5*k + h - 9. Suppose -3*s = -s - a. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-140)*24\/(2 + 0)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 3 - k - k - k**3 - k - 6*k**2. Suppose 2*o + 25 = 5*h, 0 = -o + 5*h + 6 - 26. Calculate the remainder when 12 is divided by w(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 17. Let h be f(-10). Let b(c) = 5*c - 15. Calculate b(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 873*q + 67*q**4 - 873*q + (-4*q**2 - 3*q**2 + 0*q**2 + (q + 0 + 0)*(-2*q + 0*q + 0*q))*(-6*q**2 - 6*q**2 + 0*q**2).\nAnswer: 175*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -13*k**6\/15 + 5*k**4\/6 + 205*k**3 - 2117*k**2. What is the first derivative of n(b) wrt b?\nAnswer: -312*b**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.054 >= -270\/1817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 21*f**2 - 131*f + 66. Give r(26).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -1871*i**4\/6 - 58*i**3 - 3732*i. Find the second derivative of q(k) wrt k.\nAnswer: -7484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 - 84600*n + 175268755 = 0.\nAnswer: 2417, 14503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1574?\nAnswer: 2, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1998 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1295.3 + -1268.415. Let p = 27 - m. Let b = 0.1150226 - p. Round b to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 4) in base 6?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - a + a)*(-14*a - a - 31*a) in the form t + b*a + r*a**2 and give r.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/6)*f*f**1*f)**(-1\/2))**(-42) assuming f is positive.\nAnswer: f**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 7*w + 2. Suppose 3*t - 2 = 2*t - w*s, -4*s = 4*t - 20. Suppose -t*p + 11372 + 14796 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11204485379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 50*g**2 + 5*g + 2166. Determine y(49).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1171 + 460 - 3393 - 5294 + 1278*u - 7171*u wrt u.\nAnswer: -5893","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + d - 1 = 0, 0 = 4*z - 2*d - 3 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**3*z**5 - 9*w**3*z**4 - 83*w**3*z**2 - w**3 wrt z.\nAnswer: 60*w**3*z**2 - 216*w**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -17*c + 265. What is g(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c. Let r = -2 - -4. Suppose -5*p - 1 + r = 4*u, -32 = -5*u + 4*p. Solve u = -4*q - c*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 241*s - 119. Let b be c(4). Suppose -15*h + 2*h = -b. What is the smallest common multiple of 26 and h?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22590.5841 seconds to days.\nAnswer: 0.26146509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9382*1663.\nAnswer: -9875.2266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 319284991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65620248 is divided by 32810116.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (-4 + 2 + 0). Let v be -20*(-1 + u\/20). Let -9*j + 2 - 4*j**3 - 4*j + v*j**2 - 7*j + 6 = 0. Calculate j.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:10 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**2 + 3*n**2 - 3*n**2 + n - n**2. Let p(o) = -6*o**2 - 10*o. Let q(z) = -p(z) - 10*t(z). Let s(b) = 3*b. Calculate s(q(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 19. Let d be c(16). Let p(j) = 5*j**2 - 2*j + 1. Let o = 3 - 2. Let m be p(o). Solve -6*z + z = -m*k, -d*k = 2*z for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2) + 1) + ((sqrt(2) - (-4 + sqrt(8)\/sqrt(4))) + sqrt(2) - sqrt(2)))**2 + (sqrt(4)\/(sqrt(2) - 1*sqrt(200)))**2 + -1.\nAnswer: 10*sqrt(2) + 4052\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 537691899 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + 8. Suppose 9 = 4*t - a. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142.2537t in micrograms?\nAnswer: 142253700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4294*p**2*w**3 + 118*p**2*w + p*w + 3705204*w**3 wrt p?\nAnswer: 8588*w**3 + 236*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 5*c**2 - 5*c**2)*(-664 + 664 + 42*c**2) - 3*c**3 + 3*c**3 + 2*c**4.\nAnswer: -82*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - l - 119 - 51 - 166.\nAnswer: -l - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 492.03 - 492. Sort -10, 5, a in decreasing order.\nAnswer: 5, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 7*v**2 + 10*v + 13. Determine o(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**4\/23 + 182*c**3\/23 + 178*c**2\/23 - 182*c\/23 - 180\/23 = 0 for c.\nAnswer: -90, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 1646424*v + 169419499236.\nAnswer: 4*(v - 205803)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12*1 - (-12)\/12. Let l(o) = o**2 + 10*o - 12. Let b be l(r). Let q = -24 + 29. Put 3\/4, b, q in decreasing order.\nAnswer: q, 3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/12*((-36)\/8 - -4). Let x = -5.9 - 2.1. Let w = 124.9 - 125. Sort m, -2\/7, x, w in increasing order.\nAnswer: x, m, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f. Let n(z) = 37*z. Let o(m) = -38*m. Let c(j) = -5*n(j) - 6*o(j). Determine q(c(i)).\nAnswer: -86*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 25, 2*r + 3*u = 78 + 33. Suppose -d + 20 = 4*d. Suppose 9*w = t + d*w - 61, t - 4*w = r. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-15) + 3\/30*2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/14 - 31\/(-2). Let n = 43 - w. Let u = -4 + n. Calculate the greatest common divisor of u and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10734.27 litres?\nAnswer: 10734270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1170.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.8 - 2. Let g = 0.05 - n. Let d = g + 0.25. Which is the smallest value? (a) -1 (b) -3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5598\/4)\/((-3)\/(-42)). Let p be (-48524)\/m*1\/(-2). Let j = p + -5\/311. Find the common denominator of 29\/2 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b - 2. Let z(x) = -4*x - 6. What is -7*t(w) + 2*z(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52234 and 14391?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*u**2 - 20*u wrt u?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.06 (b) -8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*w - 4 = -b, -2*w - 10 = 0. Let t = b + 7. What is the highest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 5*g - 280. Suppose r + g = -4*s + 1627, -r - 5*s = -1603. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18277 + -574?\nAnswer: 17703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.02805 (b) -4\/3 (c) -1\/5 (d) -1\/2 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 122*n + 176 = -o, -4*o = 19*n - 14*n + 58 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 537294, 1074643, 1611994, 2149347, 2686702, 3224059, 3761418?\n\"Answer: m**2 + 537346*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) 3 (c) -2 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -1\/6*p**4 + 17*p + 0*p**2 + 23 + 0*p**3. Let w(u) be the first derivative of q(u). Let x(a) = -3*a**2. Calculate x(w(c)).\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*n + n. What is the least common multiple of n and -12*(-5)\/(80\/12)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**21*c**(-2\/3) assuming c is positive.\nAnswer: c**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101 + -28. Calculate the remainder when u is divided by (1 - (-95)\/(-20))*-4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5936 - -23595\/4. Let f = 37 + x. Which is smaller: -1\/6 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 16*x + 1. Suppose -5*c = -0*n + n - 37, 5*c = -2*n + 49. What is i(n)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-182)\/(-224))\/((-1)\/(-48)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-3)*z\/z**(1\/2))\/(((z\/z**(1\/3))\/z)\/z**(2\/3)) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 + -59. Let n be (-3*15\/c)\/(-1). Solve -2*b - 24 = -5*r, -8 = -r + n*b + 6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12 (b) 0.045 (c) 1\/4 (d) 14 (e) 244\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*-2*(sqrt(88) + -2*sqrt(88)*-6))\/(5*1*sqrt(8) + sqrt(256)\/sqrt(2)))**2.\nAnswer: 185900\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26 + 188*b - 93*b - 93*b + (4*b - 3*b + 0*b)*(0 - 3 + 2).\nAnswer: b - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f - 2. Let u = -213 + 310. Calculate the remainder when u is divided by (51\/2)\/(f\/(-2) - -1).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w**(1\/5)*w*(w**(-5)*w)\/w**(-3\/5))**(-2\/73) assuming w is positive.\nAnswer: w**(-28\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -7343 at least as big as -535957\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.232986 to two dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = 7, -4*d - 6 = 2*p. Let w(s) = s**2 - 5*s + 4. Let x be w(p). Let g be (9\/27)\/(2\/6)*4. Solve x*v = 3*r + r, -r + 6 = -g*v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20, 84, 210, 416, 720?\n\"Answer: 3*q**3 + 13*q**2 + 4*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 6*n**2 - 12*n - 6. Suppose -11*t + 60 = -t. What is the hundreds digit of b(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o - 18. Give w(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 152702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1 - -1) + 1. Let r(s) = -5*s + 2 + 63*s**3 + s**2 + 52*s**3 - 12*s**3 + 2. Is r(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3368)\/(-2105))\/((-1)\/(130\/4))*-1?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -452 (base 13) in base 16?\nAnswer: -2e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 4 (b) -20 (c) -3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/(-12)*6\/4. Let s = 58 - 34. Let q = 20 - s. Sort h, -5, q.\nAnswer: -5, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r + 41*r + 48 = 0 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1470943 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((104\/(-84))\/13).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrtkrqkkvrrkvk. What is prob of picking 1 r, 1 v, and 1 k?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2651.\nAnswer: 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 23 = -6*y. Let l be (-1 + y)\/(16\/(-64)). Let j(i) = 2*i**2 + 31*i - 69. Is j(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 0, -2*l + 3*t - t = -32. Suppose -5*r = 2*g - 25, 0 = 2*r - g + 3*g - l. Put -20, -1, r in ascending order.\nAnswer: -20, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (346 + 538 - 403)*(3*n**2 - 3*n**2 + 2*n**2).\nAnswer: 962*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-33)\/88)\/((-12)\/(-176)))\/(5\/20)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -87*v + 2. Let t be j(-4). Let b = 657 - t. What are the prime factors of b?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -260, -304, -388, -524, -724?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -186 - 26b82a?\nAnswer: -26b9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 11*x + 7*x)*(-4*x - x + 3*x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11123034 and 77172?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1264 = 13*p - 8525. What are the prime factors of p?\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 495?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.26734 + -0.2?\nAnswer: 11.06734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -201?\nAnswer: -1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1221 + -211. Let w = j - 634. Calculate the remainder when w is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 56*l**2 - 520*l + 140. Determine k(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/300*-5)\/((-19)\/228)*-41.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7440.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-17))\/((-414)\/3519))\/(((-4)\/25)\/(-2)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 27*s + 113. What is g(-16)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 2*h - 25. Let i be s(-6). Let q be 4 + 4\/i + -834620. Let m = q + 3234620. What is m rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 671 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) 0.4 (c) 1\/4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -839\/4 - -223. What is the common denominator of d and 41\/180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 279347174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(1*sqrt(704)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 442641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6744*z**2 + 33*z = 0.\nAnswer: 0, 11\/2248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 450\/(-40) - 3\/4. Let d = -7 - m. Suppose d = 8*a - 3*a. Which is bigger: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47, 77, 99, 107, 95, 57, -13, -121?\n\"Answer: -t**3 + 2*t**2 + 31*t + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 307*b + 442 - 117*b - 194*b in the form h + j*b and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 765854 is divided by 110.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 64 = 2*q - 14 + 12, 2*p - 280 + 212 = 6*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 = -2*q + 3*i, 4*q - 2*i = 7*q - 797. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.013151 from -13065.022.\nAnswer: -13065.035151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q - 2*q**2 + 3 + q + 2*q + (-5*q + 6*q - 6*q)*(-3*q + 0*q + q) + (2 - 2 + 2*q)*(2*q - q + 0*q) - q**2 - 9*q**2 + 46*q**2.\nAnswer: 46*q**2 - 2*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74229 a multiple of 327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*q + 17. What is the remainder when 98 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 58.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r**2 + 93 + 95*r**2 - 34*r**2 - 29*r**2.\nAnswer: 5*r**2 + 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w + 18. Let m be p(0). Solve -7*j - m = -10*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -823, -3242, -7255, -12856, -20039, -28798?\n\"Answer: a**3 - 803*a**2 - 17*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948506541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1785600 and 23\/31744?\nAnswer: 7142400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*i - 3*h, -4*h + 6*h + 8 = 5*i. Suppose -i*u - 3*q = -u - 16, 0 = -4*u + 4*q. Solve 2*x - 2*v = 3 - 13, -u*v + 17 = -3*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -2630\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86133 is divided by 356.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(1 + 26*z - 1)*(5*z - 3*z - 9 + 2 + (0*z - 3*z + 2*z)*(3 + 1 - 3) + 2*z + 3*z - 3*z).\nAnswer: 156*z**2 - 364*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.127733 take away 2151?\nAnswer: -2150.872267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - 364\/(-18) - 18\/81. Calculate the highest common divisor of 160 and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4 - 10 = 0. Is 786\/7 + (-4)\/b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 3829 = g + 3926, 0 = 4*a - 5*g + 66 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -22*y - 99292 + 293909. What is the thousands digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 21*g**2 - 6*g + 197. Calculate j(10).\nAnswer: 1237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-60))\/(1\/(-12)))\/((-1)\/(-1))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-20) - (459\/(-15))\/3. Let w = -14 + 14.1. Suppose 2*i + 23*p = 18*p - 15, -i - 4*p - 15 = 0. Put w, i, l, -1\/2 in increasing order.\nAnswer: -1\/2, w, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28422403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 104 = -4*q, -4*r - 9 = -q + 2. Suppose 4*l + q = g - 15, -3*l = 5*g - 210. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 20883926.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - d - 1. Let p(o) = 35*o**3 + 2*o**2 + 2*o + 44. Let u(c) = -p(c) - 2*r(c). Let b = -301 - -343. Let m(z) = z**3 + 1. Determine b*m(t) + u(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12778273.\nAnswer: 179, 71387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 521*s - 535*s - 168. Is (1 - -148)*2\/s*-6 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*c + 40*c + 18180 = 23*c. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*r - r + r)*(149*r + 148*r - 349*r) to u + h*r**2 + a*r and give h.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = h, -4*c - 7*h = -2*h - 16. Let o = 3 - c. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2745, 5424, 8039, 10590, 13077, 15500, 17859?\nAnswer: 20154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9773 = -17*c - 65*c - 21162 + 8929 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*1) + sqrt(77))*4 + sqrt(77) - (3*(sqrt(77) + sqrt(77) + 1*sqrt(77)) - sqrt(77)))\/((6*-1*sqrt(132))\/(sqrt(72)\/sqrt(24))).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -602 + 2568. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 131786666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 839 + -827. Which is the nearest to 1\/2? (a) -0.5 (b) 5\/6 (c) -2\/11 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*k - 13 - 26 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 5*h - 6 = q, 4*q + 4 = 0. Let u(l) = 8 - 25 + l**3 + h*l + 18 + 5*l**2. Determine u(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8488704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*m*r*u**3 - 2*m*r*u**2 - 4122181*m*u**3 + 39522*m - 2*r*u**3 + 8*r*u**2 + 10*r*u wrt u?\nAnswer: 210*m*r - 24733086*m - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-184)\/28)\/(2\/(-14)). Let b(g) = 1 - 9*g - 45*g**2 - 8 + i*g**2. What is b(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 77 + 58. Let c = 44 + o. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 111 and 1029.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**5\/30 + 15*v**2. Let q(k) = -5278*k - 910. Let x(p) = 6*p + 1. Let z(m) = -q(m) - 910*x(m). What is z(g(r))?\nAnswer: -364*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q + 26. Suppose -4*b + 133 = -2*k - k, 4*b + k - 153 = 0. Let n = b + q. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4975, -19819, -44507, -78997, -123247?\n\"Answer: 7*l**3 - 4964*l**2 - l - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73367816?\nAnswer: 2, 19, 482683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 621446036*r + 1242892056.\nAnswer: 4*(r - 155361507)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*s + 10 = 0. Find the second derivative of 36*g**s - 18*g**2 - 72*g - 24*g**2 wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5481565 is divided by 65?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -o - 0*o + 4, 2*w = -2*o - 4. What are the prime factors of -12*(w\/4)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 938.\nAnswer: 2, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/3 - 46*p**4\/3 + 880*p**2\/3 - 1888*p\/3 + 352 = 0. What is p?\nAnswer: -22, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**29\/(r**(-5\/2)\/((r\/(r**(-13)\/r))\/r)) assuming r is positive.\nAnswer: r**(207\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, g: 2, i: 2, u: 2, x: 1, f: 10}. What is prob of sequence guix?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 304 in 2554, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15324 + 15323. Which is greater: s or 46\/477?\nAnswer: 46\/477","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*l - 85*l = 145 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 2603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10927, -10934, -10943, -10954?\n\"Answer: -i**2 - 4*i - 10922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of k**8\/336 + 4*k**7\/21 + k**4\/24 + 3*k**3\/2 + 10*k**2 - k. What is the second derivative of z(u) wrt u?\nAnswer: 20*u**3 + 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 + 84 + 9*o**2 + 0*o + 2*o**2 + 0*o + (-3 + 3 - o)*(2*o - o + 0*o) - 2*o**2 + 3*o - 7*o + o.\nAnswer: 8*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/19? (a) 3\/5 (b) 3 (c) 1\/4 (d) 1.8 (e) 2\/37 (f) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -0.001\nAnswer: 0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1) + (-3 - 7). Let z = f + 3. Let a = z + 19. Calculate the remainder when 37 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -8. Let r = -1 - f. Solve -4*c = -r*c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*g - 43. Suppose 4*k + g = 40. Suppose f - 5*s = 13, s = 2*s - 3. What is the highest common divisor of f and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 + -42. Suppose -3*n = 2*h - p, -2*n = 4*h - 32 - 6. Suppose 5*a - n = 3. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12\/1228369, 1\/3, 0.5.\nAnswer: 12\/1228369, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3282*m + 3313*m - 8874*m)*(6 + 8*m**2 - 6).\nAnswer: -18232*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1\/4, 3, 6, 90, 457 in decreasing order.\nAnswer: 457, 90, 6, 3, 1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 4, -2572, -4.9 in decreasing order.\nAnswer: 4, 0.2, -4.9, -2572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4610*u - 73414 - 357305 = 198249 - 117258 for u.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/66? (a) -2 (b) -5 (c) -205.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d**10*d)\/d*d*d**5 assuming d is positive.\nAnswer: d**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -1 - (-11 - -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: What is the value of ((-90)\/(-15))\/(2\/(-3))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 15*n**2 + 46*n + 14. Calculate a(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78968875*a**4 - 2*a**2 + 90*a - 339003?\nAnswer: 1895253000*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 f, and 1 d when three letters picked without replacement from iadofvaddofdaiodadai.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -962 - -967. Let o = -4 - -6. Solve l = o*l - j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/11, 22.2, -0.4, 0, 3?\nAnswer: 22.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6401 is divided by 349?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93*b*t**2 + 1375*b + 14*t**4 - 2 with respect to t.\nAnswer: 186*b*t + 56*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65930971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (-17 - (-12 - 0)) + 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -11*p - 118. Let y(k) = 4*k + 41. Let v(q) = 3*n(q) + 8*y(q). Let b(x) = x + 5. Let i(s) = 1. Let t(m) = -b(m) + 5*i(m). Calculate t(v(j)).\nAnswer: j + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 339 and 40\/8 - 6\/12*(3 + -137)?\nAnswer: 8136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 112 + -160. Let a = q - -4. Let j be 4\/22 + (-344)\/a. Solve s + 7 + j = 5*r, 2*s - r = -12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2502369 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 - -22. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*o + 314*o + 3614 = -24*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 + 110. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 - 11 + 15*h**2 + 5*h + 4*h**3 + 2*h**3. Let m(p) = p**3 + p**2 - 1. Let v(f) = c(f) - 5*m(f). What are the prime factors of v(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18.291 - 0.053282.\nAnswer: -18.344282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f**2 + 6*f + 4. Let a be 1\/((6\/2)\/(-9)). Let u(h) = 2*h**2 - 3*h - 2. Let l(t) = a*n(t) - 7*u(t). Let l(j) = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7714265 a multiple of 807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 - -11?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 + -2 - 27) + (6 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138829*c**5 - 13*c**4 - 4*c**3 + 206661188*c**2 wrt c.\nAnswer: 8329740*c**2 - 312*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = 71*z - 95*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*y + 7 = -4*y, -1 = t + 5*y. Let j(m) = -m - 7. Let f be j(t). Suppose 0 = u + f*u + 15, -3730 = -5*b + 5*u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 697, 1406, 2111, 2812, 3509, 4202?\n\"Answer: -2*x**2 + 715*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 152, -2 in ascending order.\nAnswer: -2, 23, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11302, -45047, -101144, -179599, -280418, -403607, -549172, -717119?\nAnswer: -907454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3925*d + 135 = -3920*d + 4*y, y = -8*d + 54 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**9*m)\/m)**(-2)*(m\/((m*m**21)\/m))\/((m\/(m*(m\/(m*m**1\/m))\/m))\/m*m*m*m) assuming m is positive.\nAnswer: m**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 - -10)*(-2)\/3. Let l(d) = -d**2 + 2. Let o be l(-2). Let g = v + o. Do 3 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 13 = 2*b. Find the third derivative of -b*v**6 + 86 - 8*v**2 - 44 - 42 wrt v.\nAnswer: -840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and -8.85.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n + 2. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 357 - 2838 = 0. Suppose 5*k = 2*k + n. Suppose 3*c + 4*r - 140 + 19 = 0, -4*c = -5*r - k. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.10579?\nAnswer: 0.52895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n + 646 - 142. Let o = 286 + -156. Let r = n + o. Calculate the greatest common factor of r and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1443 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 + 2*m**2 + (0*m - 3*m + 5*m)*(0*m + 0*m + m))*(2 - 9 + 3) - 18 - 91*m**2 + 93*m**2 - 10.\nAnswer: -14*m**2 - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 d when three letters picked without replacement from donoodonndodo?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*g = -340 - 135 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -60, -97, -138?\n\"Answer: -2*i**2 - 27*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/5)\/(6\/(-15)). Suppose y*d - 8 = -d. Find the second derivative of 2*i + 2*i**d + 8 - 8 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 6. Let r(a) = 2*a - k*a - a + 2*a - 1. Let z(g) = -g - 2. Give -4*r(o) + 2*z(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*j - 48 = 0. Suppose 0 = -x + 3*x - j. Suppose 2*a + 24 = x*a. What is the remainder when 17 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.25899423 rounded to two decimal places?\nAnswer: -3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 + 3. Let v = 77 + -23. Let u be (-6)\/27 + 39\/v. Is m < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k**5 + 360*k**4 - 1045*k**3 + 900*k**2 - 180*k = 0 for k.\nAnswer: 0, 2\/7, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i - 58 - 407 = 0. Solve -6*f = -f + i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54234*d - 18 = 5*m - 54235*d, 3*d + 2 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 3:59 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2385, -4745, -7105?\nAnswer: -9465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 38. Let v = -36 - b. Let t = v - -13.99957. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115883*z - 9152 = 116455*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = -3*u, -2*u + 5*u + 3*w = 33. Suppose u*m = 3*m - 1692. Is (m\/(-6))\/3*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 17*k**2 + 19*k - 15. Let d be -9*(-320)\/(-180)*1. What is m(d)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(4455))\/sqrt(11)*-5)**2 - ((sqrt(5)*-1 + -4 + (sqrt(5) - (sqrt(240)\/sqrt(4))\/sqrt(12)))**2 + -5).\nAnswer: -8*sqrt(5) + 10109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 - z - 5. Let s be l(-7). Let k = 8 + s. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/3 + t**3\/6 - t**2 - t. What is the tens digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 16216*i\/3 - 32869832\/3.\nAnswer: -2*(i + 4054)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1880, 3760, 5640, 7520, 9400?\n\"Answer: 1880*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076304179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1*(20 - -9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 12 = -4*x, 2*g - 5*x = 5*g + 15. Let l = 21 - g. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125202 minus 0.35?\nAnswer: 125201.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-15)*161\/138*-45.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 827059.9 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14*46*(-34)\/(-3128)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:49 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 320359349 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - -8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 41. Suppose 2*o - 5*p = 10, 3*p - 25 = -5*o + 5*p. What is the highest common divisor of o and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 37*j**2 + 2*j + 2127. What is the remainder when z(0) is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 + 5*w**2 - w - 1. Let f(u) = -u**3. Give -3*f(m) - r(m).\nAnswer: m**3 - 5*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 0.4 (c) -3 (d) -3\/32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 9*l + 462 = 0. Calculate the lowest common multiple of l and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.655 + -3.835. Let w = -23.5 - h. Let l = -5 + 5. Which is the closest to -1? (a) l (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6052165 a multiple of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77211 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*o, -4*t - o = -0*o + 8. Let s be (-2)\/t - (-35)\/15. Suppose -s*l - l + 24 = 0. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26503580 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.2. Let l = -2.06 - -2. Let u = l + 0.46. Which is the biggest value? (a) u (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h = -2*h. Let i = 130 - h. Suppose 0 = v - 1 - i. What are the prime factors of v?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o - 4. Let 3*i + 0*i**2 - 3*i + 2*i**o - 2*i**2 = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162) - sqrt(162))**2*2 + sqrt(6)\/(6*sqrt(3)*-2 + sqrt(3)).\nAnswer: -sqrt(2)\/11 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18656, -18665, -18668, -18653, -18608, -18521, -18380?\nAnswer: -18173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*s - 20. Suppose s = 5*c - 134. Calculate the greatest common divisor of 56 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -211*l*r**3 - 2*l*r**2 - 16*r**3 + 1610*r**2 + r wrt r?\nAnswer: -1266*l - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 divided by 10514?\nAnswer: 235\/5257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -138*i + 2113. Let n be q(15). Solve 69 = n*c - 103 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -111010011?\nAnswer: 111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 34. Let f = -1123 - -1138. What is the remainder when m(0) is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 23*u - 15. Calculate i(5).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1ee0e2?\nAnswer: 1ee0e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -177023306 or -177023304?\nAnswer: -177023304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -62, -136, -238, -368?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.9 - 2.9. Let m = 4\/175 + 282\/2975. What is the closest to h in -4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21759 is divided by 126?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwswwcwcpwwcsp. Give prob of picking 1 c and 1 p.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(2\/23)\/u))\/u*u)\/(u\/u**(-9))*(u**(2\/5)*u)\/u**5 assuming u is positive.\nAnswer: u**(-1459\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119544?\nAnswer: 2, 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -53. Calculate the highest common divisor of 150 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -6)\/((-1)\/40). What is n rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2 + 2 - 3*g + 0*g. Suppose a = -4*a - 15. Calculate the remainder when y(a) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60913157 + 34473157. What is i rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-5))\/(1\/6). Let h = 206\/145 - 18\/29. What is the second smallest value in 2, h, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14577300377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 7. Solve -2 - 2 = -b*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - 11*f)*(-1 + 0 + 3)*(-1190 + 1190 - 135*f**3) to the form b + y*f**2 + t*f**4 + k*f + n*f**3 and give t.\nAnswer: 2970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j + 27198 + 641020 = 10*j. What are the prime factors of j?\nAnswer: 2, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-36)\/40)\/(3\/(-5)). Which is the second smallest value? (a) -2\/7 (b) -1\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111 + 2?\nAnswer: -2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - ((-5)\/1 - 4). Suppose -3*p + 12 = 0, 4*u + 2*p - 44 = -l. What is the remainder when 25 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93901.\nAnswer: 93901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8320, -4, -1 in increasing order.\nAnswer: -4, -1, 0, 8320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -634 - -634. Let x be 0 + 0 - (-5 - -2). Solve -x*q - q + 8 = a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.001 - 0.001. Sort -4, 1, q, -2\/3 in descending order.\nAnswer: 1, q, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t - 2. Let d(z) = 3*z - 4. Let s(a) = d(a) + 5*g(a). What is the derivative of s(k) wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29517699 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/14 and -77\/142.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/385*15)\/(8\/(-14)). Let d = 391\/836 + j. Is 1 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 11*j**2 - 4*j + 1. Let b(c) = -c**3 - 4*c**2 - c. Let u(y) = -8*b(y) + 3*r(y). Is u(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -182 and -2.04797.\nAnswer: 372.73054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnncfncencnf. Give prob of sequence fnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**2 + z**4 + 3*z - z**3 - 3*z**4 + 11297 - 11299 to the form q*z + c*z**2 + x*z**4 + r + m*z**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 11\/21242 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1886*a + 1881*a - 4*d - 7, 7*a = -3*d - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425432961 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03324 and -43.90233623.\nAnswer: -43.86909623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-4))\/(3\/(-18)). Let u = -6 - y. Let h = 2 - u. Is h <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -132. What is the greatest common factor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1690 divided by 26?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 25511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35325\/(-1365) - -27 - (-292)\/949.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-9) - 6\/(-54). Let t = 37 - 38. Let g = 1.8 + -2. Put o, t, g in increasing order.\nAnswer: t, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 - 3*n. Let d(o) = 2*o + 11460. Calculate d(r(m)).\nAnswer: 4*m**2 - 6*m + 11460","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-44) + 87816\/66*1.\nAnswer: 2, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 262*z**2 + 21. Let f(v) = 1921*v**2 + 153. Let w(i) = 7*f(i) - 51*p(i). Let t(c) = 3*c**2. What is t(w(u))?\nAnswer: 21675*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o - 107. Let b(a) = a - 36. Calculate 17*b(k) - 6*l(k).\nAnswer: -k + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 18*t - 70. Let q be v(3). Let j(y) = 14*y**2 + 5*y - 17. Let i be j(-5). Calculate the highest common factor of i and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 6. Let h be z(0). Let r = 43 - h. Suppose r = d - n, -3*d + 109 = -3*n - n. Is 25 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3757 - 7587 - 2*b + 3830.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/5202 and 173\/68544.\nAnswer: 1165248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*42\/(-280)*5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a. Let m be z(1). Let k(i) = -m - i + 3 + 0*i. Let y(s) = -878*s**2 - 875*s**2 + 1748*s**2. What is y(k(x))?\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q + 1914 - 104*q + 29*q + 36*q.\nAnswer: -2*q + 1914","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -430 - -430. Suppose -3*q - t + 424 = g, -704 = -5*q - 0*q - 3*t. Calculate the highest common factor of q and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 17. Let v be t(-12). Suppose 0 = -2*r + v*r. Suppose -3*n + 2*x + 68 = r, 5*n - 87 = n - x. What is the least common multiple of n and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 8 = 2*m + 3*n, m - 5 = -n. Let i(w) = 24*w + 1. Calculate the remainder when i(m) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11942207\/2490 + 2808\/415. Suppose -10*f + 49543 = 1653. Let v = f - x. Calculate the common denominator of v and 51\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/165 and 438\/(-135)*25\/(-50)?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 293144 and 21256?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/4*(-19)\/(-1824)*8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 10) + 12\/2. Which is the nearest to -0.16? (a) d (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3)\/q)*q)\/q**(1\/7))\/(q**0\/q)**(11\/7) assuming q is positive.\nAnswer: q**(52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*b + 25, -2*v + 4*b + 4 + 22 = 0. Let l(i) = -i**2 + 2*i. What is l(v)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.38682l in millilitres?\nAnswer: 34386.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/5925180 and 47\/16485.\nAnswer: 41476260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.564 times 3?\nAnswer: -1.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -40*a**3 + a**2 + a + 1. Let n be d(-1). Suppose -6*g + 43 + n = 0. Suppose p - 3*p = g. Is p less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 364557121 to the nearest integer?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1475 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2691)\/(-18)*(-210)\/(-390)*(-56)\/(-49).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*30\/5*522\/(-108).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxxf when four letters picked without replacement from xxbbfqbbfff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 0)*9\/((-18)\/32). Solve -y = -n + 5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n. Let l(p) = 9*p**2. Suppose 5*z + 3*j = 61, -5*z - 4*j + 34 = -24. Let s(a) = 1 - z*a**2 + 6 - 7. Let x(k) = 8*l(k) + 5*s(k). Give x(m(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -385.2 + 346. Let i = -41 - q. Let w = -8.2 - i. Round w to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491.7097 times 5?\nAnswer: 7458.5485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01174344093 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lall when four letters picked without replacement from alaaalalllaaaaaaaaa?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119486910 to the nearest integer?\nAnswer: 10931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from {y: 1, c: 1, r: 5, o: 1, j: 1, t: 3}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 0 + 4\/(8\/18).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -4, -2\/9, -104 in descending order.\nAnswer: -2\/9, -4, -39, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1545388 or 1545283?\nAnswer: 1545283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0*u**3 - 1\/9*u**4 + 4*u + 0 + 0*u**2 - 1\/30*u**5. Let s(x) = 0. Calculate x.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -6 + 1. Let a(h) = h**2 - 2*h - 1. Let i be a(2). Let s = i - -3. Put s, -3, m in increasing order.\nAnswer: -3, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 15*i - 8. Let w be x(-10). What is the greatest common divisor of w and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009795 to five dps.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 21*g + 39. Calculate n(-17).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 268\/2*1\/2. Suppose -3*h - 2*t + n = -0*h, 3*t = -3. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-4)*(3\/4)\/(31\/124)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -44*n**4 - 8924*n**3 + 1145096*n**2 - 207904*n = 0.\nAnswer: -292, 0, 2\/11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*a + 1058 + 11602 = -355*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -59. What is the remainder when 84 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -92. Let q = -45 - r. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10281932 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34766 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.6 + -40.3941. Let l = 0.091 + 0.104. Let b = l - z. What is b rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 730 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4738 - -5892. Which is greater: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0 - 5 + 118*c**3 + 6 - 5 to the form z*c**2 + a + v*c**3 + l*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2 - 480*d - 4675 = 0.\nAnswer: -85, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1396722, 1396721, 1396720, 1396719?\nAnswer: 1396718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 8*y + 7. Give k(-6).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + 3*(3 + sqrt(704)) + 1)**2.\nAnswer: 480*sqrt(11) + 6436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-9)*((-14)\/(-616))\/(28\/(-84))\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 491452483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -217 + 105 - 28*s**2 + 49*s - 12*s + 51*s + 4*s. Let c(k) = 18*k**2 - 61*k + 75. Let r(l) = -8*c(l) - 5*w(l). Let r(m) = 0. Calculate m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.129 + -0.769. Let g = o + 1.311. What is g rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Suppose 11 = 2*f + 1. Which is the second smallest value? (a) j (b) 2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(75\/(-20)) + 1974\/18.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4955 = -451*u + 5418 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.10693405 rounded to 4 dps?\nAnswer: 3.1069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -191*i + 388*i - 198*i + 2 + (-29 + 29 - 6*i)*(-8 - 6 - 2)*(-1 - 5 + 4) to z*i + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -108 + 105. What is the smallest value in q, 0.3, 2.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -11. Suppose 5*a - a + 20 = 0. Let k(q) = -q - 4. Let y be k(a). Which is bigger: r or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 227. Suppose m = 4*u + 541, -5*m - 400 = 42*u - 39*u. Let r = u - w. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -10*z - 6. Let s(p) = -6*p - 2 + 2*p + p. Let l(x) = 16*s(x) - 5*t(x). Let d(q) = 8 - 8 + 1 + 3*q - 4*q. Give -10*d(o) - 4*l(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/121)\/(6\/(-15)). Let m = i + 22852\/39083. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-10)\/(-7)))\/(8\/15*(-17760)\/(-47360))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - l + 0 = 22, 0 = -2*s - 5*l. Find the second derivative of 3*n + 2*n + 7*n**5 + n**s - 5*n**5 wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*h = 4, 157*y - 5*h - 20 = 160*y. Find w such that -4\/9*w**2 + 2\/9*w - 4\/9*w**3 + 2\/9 + 2\/9*w**4 + 2\/9*w**y = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(162))\/sqrt(9))\/(sqrt(864) - (sqrt(864) + sqrt(864)*-2) - sqrt(6)) + (sqrt(75) + -3 + sqrt(75) + sqrt(75)*-2)**2.\nAnswer: -sqrt(3)\/23 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 9249974?\nAnswer: -36999896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/1 - 35\/(490\/(-336)). Solve 21 = -2*h - 3*w, 3*h - 5*h + 5*w = -u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 y when three letters picked without replacement from ycuijihicjcjhyciii?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14169 is divided by 232?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 1253 - 403. Suppose w = 2*g + 50. Suppose 4*o - 8*r - 80 = -3*r, -4*o + r = -64. What is the highest common factor of g and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**3\/3 + 2*l**2 - 6*l + 5. What is s(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 6*n**2 - 50*n**3 + 13*n**2.\nAnswer: -50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**2 - 28*k + 176 = 0. Calculate k.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8286176671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-8558)\/(-88) - (-1)\/(-4) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 1477776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2674241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28208 = -4*b - 5*y, -71*b = -72*b - 5*y + 7067. Is b > 7048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 4.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 20, 54, 112, 200, 324?\n\"Answer: u**3 + 3*u**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154121293 to the power of 1\/2, to the nearest integer?\nAnswer: 12415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 67297 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -32.253 or 32?\nAnswer: -32.253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 75340, 75369, 75410, 75457, 75504?\n\"Answer: -s**3 + 12*s**2 + 75329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -124551 + 5?\nAnswer: -124542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (122\/(-122))\/(2\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a tonne in kilograms?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11973*s**3 - 5392 wrt s.\nAnswer: -35919*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a - 20. Let v(i) = i + 4*i**2 + i + 58*i**3 + 3*i - 59*i**3. Let m be v(a). Solve -12 = 4*r - m*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from jjwohohojjojhhonq?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.7 (c) -18.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16*((-115)\/20 - -6). Suppose -266 + 6493 = t - h*y, -5*y + 6191 = t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 411364 + -250514. Let p = 160769.941 - l. Let i = 80 + p. What is i rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1758 - -7178?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 17049555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7))**(-44)*(h*h\/h**(-13))**39 assuming h is positive.\nAnswer: h**893","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/5 - w**2\/5 - 33*w\/5 - 63\/5.\nAnswer: (w - 7)*(w + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8)\/((-6)\/(-24)). Suppose 62 - 26 = 3*r. Let m be 0*(-2)\/(r\/3). Put 1, w, m in decreasing order.\nAnswer: w, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*g + 5*k, 33691*g + k = 33689*g + 36 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 2\/11, -29, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/5 + 6251488*v\/5 - 4885137776768\/5.\nAnswer: -2*(v - 1562872)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1433140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 25, 58, 123, 232, 397?\n\"Answer: 2*k**3 - 2*k**2 + 5*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of 17*l**2 - 19\/6*l**3 + 0*l - 11\/24*l**4 - 1\/60*l**5 + 0. Let k be z(-9). Which is smaller: -4\/3 or k?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from apnnzdppcznccccnzp. What is prob of picking 1 z, 1 n, and 1 p?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16900 and 676?\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 10. Suppose 0 = 2*o - 10 + h. What is the third derivative of 0*l**4 + 0*l**4 - 5*l**6 - 4*l**o + 7*l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.088 + -0.1028. Let t = -2.01 - -2. Let n = t - c. Round n to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 8\/3)*3. Let b(n) = 7*n**2 + n - 3. Is b(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45*g**2 - 58*g**2 + 42*g**2)*(-3*g - 29*g - 3*g) + (-6 + 1 + 3)*(-4*g**3 + 3*g**3 - g**3) as f + l*g**3 + r*g + w*g**2 and give l.\nAnswer: -1011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10124011 - -43?\nAnswer: -10123413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5734080 by 3.\nAnswer: -1911360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385*0.4.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l + 1. Let o be i(8). Suppose 0 = 2*u - f + 31, -u + 5*u + 44 = -4*f. Let h = u - o. Solve 2 + h = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -3. Suppose 2*j = 5*j + 3, 2*j = 3*n - 62. Let m be (3 + -1)*(-2)\/n. Is t greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 0.4 (c) 2 (d) -19 (e) -58 (f) 1\/210 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/5 (b) -1\/2 (c) -1 (d) -2\/3 (e) -1259.8 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrrrcrccrrc. Give prob of sequence cc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 minus 22.44?\nAnswer: -48.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 21a1982?\nAnswer: -21a1987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.7, 24, 6\/11 in increasing order.\nAnswer: 6\/11, 1.7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 - 27 - (39 - -60).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -165515 and -18644435?\nAnswer: 18478920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48? (a) -262.5 (b) 1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*0.004.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 346909176 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*c + 3*c - 14 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -124*l**2. Let o(d) = -831*d. What is z(o(r))?\nAnswer: -85629564*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/8)\/((-3)\/12). Let m be 44\/z*(-6)\/(-4). List the prime factors of (1*m)\/((-26)\/481).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(28)\/sqrt(2) + sqrt(14) + sqrt(14))*4)\/(sqrt(7)*-2*-3) + -5.\nAnswer: -7 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 130*o**2 - 390*o - 575. Let r be i(-127). What is the highest common divisor of r and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100110020 (base 3) to base 4\nAnswer: -1223223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrhrylqlqqluhlq. Give prob of picking 1 l, 1 h, and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 20*d**2 + 3 - 1 - 3 as b*d + t + u*d**2 and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 49 = -3*v, v = -7 + 3. Is r bigger than 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413541427?\nAnswer: 13, 31810879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + f - 20, 32*f - 37*f + 19 = -2*j. Calculate the greatest common factor of 9 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/23168 and -23\/80.\nAnswer: 115840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2736) + 3 + -4)**2.\nAnswer: -24*sqrt(19) + 2735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 3*n**2 + 2*n + 5. Let j be r(0). Suppose 17 - j = 4*i, 5*h = -4*i + 22. Solve -5*z + 4 = 4*k - h*z, -2*k + z - 8 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 208 - 148 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w - 3. Let q(y) = y**2 - 35*y + 8. Let s(u) = -8*b(u) - 3*q(u). What is the second derivative of s(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 7. What is the remainder when 27 is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 1 + 0 - 2 = 3*k - 2*w, 0 = -2*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-156)\/26*(-1)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/16 - -5\/144. Let y be (56\/30 + -2 + 0)*-6. What is the closest to n in -0.6, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1714.8600176 - -1714.53. Let b = -0.33 - l. Round b to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(((3 + sqrt(3328) + sqrt(3328))*5 - sqrt(3328))*-5 + 4))**2*3.\nAnswer: 4907520*sqrt(13) + 323723568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 809 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 19 - 3 = t, -34 = -4*n - 3*t. Suppose z - n = -4*z. Suppose 3*o - z = -4*w + 30, 6 = o - w. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -391826 + -6\nAnswer: -391832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3917847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3352122 by 6.\nAnswer: 558687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1478532 or -1478504?\nAnswer: -1478504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 119*x + 0 + 62\/3*x**3 + 1\/3*x**4 - 64*x**2. What is h in o(h) = 0?\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(11) - (sqrt(11) + -1)) + (1 + sqrt(704) - sqrt(11))**2.\nAnswer: 14*sqrt(11) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292441 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 + (-287)\/((-34727)\/29040)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:01 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 59618460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q - 15*q = -320. Let j be q\/((-5 + 12)\/(-140)). What is j rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 974 - -1?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -38403.11699 to the nearest one hundred.\nAnswer: -38400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose 2*t = -y*t + 20. Solve -t*j - 2 = -2*f, -2*f + 2*j - 8 = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16\/265 + -118\/10335. Calculate the common denominator of -19\/93 and l.\nAnswer: 6045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 2*d - 25, 3*q + 23 = -2*d + 4. Suppose 0 = -v + 4*c - 21, -4*c = v - 10 - 9. Put 1, q, v in increasing order.\nAnswer: q, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u**5\/3 + 201*u**4 - 18358*u**3\/3 + 3520*u**2 + 2400*u = 0 for u.\nAnswer: -2\/5, 0, 1, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00127869 rounded to 5 dps?\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2))\/((-6)\/(-16)). Let c(n) = -n**2 + 15*n + 19. Let q = -16 + 32. Let k be c(q). Sort k, -5, j.\nAnswer: -5, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 31.\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + b + 1. Let j be p(2). Suppose -5*n = 4*k - 13, -5 - j = 4*k. Suppose 5*h + 3*m = 78, -m = -n*h - 0*h + 94. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + l**2 + 2*l + 4. What is j(4)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4683*i = 4206*i + 4770 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 14) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**4\/3 + 12*q - 16. Let o(j) be the first derivative of l(j). Let i(z) = -z. Calculate i(o(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47.638 + 35.58. Let v = -0.095 - -11.895. Let d = v + t. Round d to 2 dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6745 + 6745 + 10*k**2.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -1, -21, -63, -133, -237, -381, -571?\n\"Answer: -f**3 - 2*f**2 + 9*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 533 + -535. What is the hundreds digit of ((-957)\/12 + z)\/(6\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1088) + 3 + -2))**2 + ((sqrt(204) - 6*(sqrt(204) + sqrt(204)*2 - sqrt(204)))\/sqrt(12)*4)**2 + 2.\nAnswer: 256*sqrt(17) + 50338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 - b + 2. Let o be k(0). Suppose -c - 5*u = -3*c - o, -c + 4*u = 7. Suppose -c*q + 763 + 1100 = 0. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**3 + 5580*w**2 - 363528*w + 5668704.\nAnswer: 4*(w - 36)*(w - 27)*(w + 1458)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2061.1 (b) 3\/4 (c) 1\/7 (d) -5\/4 (e) 4 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 83838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -21*n - 40. Suppose 0 = -3*y + 12. Put -5, -1, y, n in descending order.\nAnswer: y, -1, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(5\/((-180)\/(-14)))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i - 37 - i**2 + 37 to c*i + d*i**2 + p and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - 0) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + m + 2*m)*(m + m - 4*m) + 1 - 1 + m**2 + (-5*m**2 + 4*m**2 - 8*m**2)*(-1 + 4 - 1) in the form l + b*m + p*m**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 + 90*k**3 + 984*k**2 + 1624*k = 0.\nAnswer: -29, -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (145\/261)\/((-5)\/(-6)). Which is the biggest value? (a) -2\/5 (b) 2\/7 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 - 6*i - 6. Let b be u(-3). Let m = 3 - 2. Let l = b + m. Solve l*t - 3*t - 3*v = -6, 4*v + 2 = -2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-10)*10\/(-42)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 divided by -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2647 + 828*o**2 - 828*o**2 - 2647 + 13*o**3.\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 15*v**2 - 7*v + 13. Calculate d(5).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 67 = 35. What is the remainder when p is divided by (-2)\/9 - 166\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/9)\/(-4 - (-170)\/42). Suppose -4*z - 3*k - r + 28 = 0, 4*z - 2*k - 6 = 0. Find the second derivative of -13*v + 57*v**2 - 21*v**z - 57*v**2 wrt v.\nAnswer: -126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 3*o - 274. Let g = -345 - -262. Let n = o + g. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.9 - 22. What is the second biggest value in 0.3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*x - 70, 312 = 4*a + x - 5*x. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*p = 63*p - 99. Suppose 1162 = 3*f - p. List the prime factors of f.\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from donodppppxnpxonxonn. What is prob of sequence po?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -2*j. Let h be ((-24)\/(-20))\/(j\/15). Is h\/4*(184\/(-12))\/1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 5}. Give prob of picking 3 x and 1 y.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (2 + -11 + 5 - (0 - -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/2)\/12*4\/8.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 925594.\nAnswer: 2, 467, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65911 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -6.7. Let d be ((-69)\/(-92))\/((-54)\/(-8)). Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/9*-3 + 74.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -58 and 2063.2879823?\nAnswer: 2121.2879823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + i**2 + i. Let c be 7\/(-21) + 4\/3. Let n(o) = -4*o**3 - 4*o**2 - 12*o. Let u(g) = c*n(g) + 4*q(g). Find the second derivative of u(y) wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 209 divide 56639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45201.02 millilitres?\nAnswer: 45.20102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 11*z**2 - 3*z - 108. Let k be f(10). Let d(c) = c**3 + 5*c**2 + 4*c - 2. Let l be d(-8). Let p = k - l. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105771682?\nAnswer: 2, 61, 71, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*b + 782 = 53*b - 3162. Is -508\/15 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 16 = 5*r, 3*r + 2*q + 3*q = -4. Let z be 4 - (2 + -1 + 0). Let h(t) = z*t + 4*t - 1 - 3*t. Determine h(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 210*n + 3 - 218*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*g + 72, -4*l + 0*g - 5*g = -72. Differentiate 3 + 16*z + 8 + l*z + 4*z wrt z.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1602048 and 2616.\nAnswer: 174623232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (1 - -3) - (-10 - -5 - 1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a decade in years?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -19858*d + 19858*d + d**2. Let h(n) = -51*n + 1. What is h(c(m))?\nAnswer: -51*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -765 + 769 - (9 + -18 + 41 - (-4 + 0)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 176627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-53 - -3) + (-1 - -6) + -12?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 11*m**2 + 13*m - 4. Let j be z(12). Let x be ((-1)\/2 + -2)*j\/(-10). Solve -3*u = -2*u + x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 2*f + 5*f + (0 - 2*f + 0)*(-3 + 2 + 0) + 0*f - 2*f + 0*f + (-3 + 1 + 1)*(-412645 + 349*f + 412645).\nAnswer: -347*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2 - 3*t - 2. Let h be d(3). Let m be (h\/(-6))\/(2\/6). Let k = m + 14. Calculate the remainder when k is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 75 (b) 3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.17 + 1.1. Let b = z - -2.07. Let s = 3 - b. Is -3 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 2*d. Suppose 180 + 372 = 4*u. Suppose -5*w + u - 21 = -4*x, -5*w + x = -123. Solve d*b - w = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*c**5 - 27856*c**4 + 5385456*c**3 + 1226008*c**2 - 5385492*c - 1198152 = 0.\nAnswer: -1, -2\/9, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*j + 281 = 0, 0 = -3*q - 2*q - 4*j + 752. Suppose -9*h + q - 4 = 0. Calculate the smallest common multiple of h and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1438 = -2*q - 2*f, 4*q - 3*f = -0*f + 2876. Suppose -699 = -4*n + 3*n + 3*s, q = n + 2*s. Suppose n + 449 = 10*m. What are the prime factors of m?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1\/8)*t\/(t**(1\/4)\/t))**(-22))**(-7\/8) assuming t is positive.\nAnswer: t**(1617\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 71*z - 17*z**2 - 65*z - 7*z**2 in the form y*z + n + v*z**2 and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 7. Let u = 1 - f. Let q = -356 + 356.3. What is the nearest to u in q, 4, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z**2 - z**2 - 7*z**2 + z + 9)*(-z**2 - 3*z**2 + 3*z**2).\nAnswer: -z**4 - z**3 - 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/8 and -93\/748808.\nAnswer: 748808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340*g + 323*g - 102 = 0. Which is the closest to 0? (a) 4 (b) g (c) 5 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 122*d - 1877. Let y be l(-18). Sort y, 6, 14, -4 in ascending order.\nAnswer: y, -4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-7302*w + 1960*w - 15108*w - 3574*w).\nAnswer: 24024*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 492643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198 is divided by (-1675)\/(-25) - (-4 + 12).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-1)\/(-1*16\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 3:26 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -121\/6 - -35. Calculate the common denominator of (-87)\/(-55) - 4\/10 and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 3*r - 12 = 0, -77 = -2*i + 5*r - 71 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -10*f + 3. Suppose -3 + f = -a. Solve 1 = -a*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1445215, -11561717, -39020799, -92493751, -180651863, -312166425, -495708727, -739950059?\n\"Answer: -1445215*j**3 + 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11124, -11474, -12046, -12840, -13856, -15094?\nAnswer: -16554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*v = 36 - 264 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1112512 (base 6) to base 10\nAnswer: 56348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/87125 and -6\/49051375.\nAnswer: 49051375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22295058*j**3 + 22222097?\nAnswer: -66885174*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/970, -0.1, -15610 in descending order.\nAnswer: 1\/970, -0.1, -15610","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -108*g**5\/5 - 67536*g**4 + 452697*g**3\/5 + 7089111*g**2\/5 + 13111626*g\/5 + 6812784\/5 = 0.\nAnswer: -3128, -11\/6, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -630797242*s**2. Let v(m) = -m. What is p(v(n))?\nAnswer: -630797242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(1 + -2 - 0) - -4. Let g = 3 + r. Let k(u) = -7 - 9 + 0*u + 18 - g*u. Give k(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1806421.\nAnswer: 1806421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2214 and 297?\nAnswer: 24354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -743 = -5*y - 723 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 193 - 116. Let m = g + -76.67. Let c = m + 0.07. What is c rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2540 + 12706\/5. Sort -2\/17, -2\/7, u in descending order.\nAnswer: u, -2\/17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -28 (b) -1\/11 (c) 126\/25 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 b when three letters picked without replacement from {b: 1, g: 1, e: 1, w: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -21*v + 43. Let l(h) = -10*h + 19. Let f(b) = -3*a(b) + 7*l(b). Calculate f(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 + 157. Which is the second biggest value? (a) w (b) 0.1 (c) -0.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 135?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1645650 and 29\/55350.\nAnswer: 67471650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 648999 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**4\/24 + 8*x**3\/3 + 20*x**2. Let b be i(16). Is b < -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2901175200 to the nearest integer?\nAnswer: 1426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 104 - 29. Let g be 3\/3*5\/f. Is g at most 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 31*s**2 + 70*s + 19. Let m = -7 + 32. Is f(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 20 + 8. Let x be j\/(-10) - (-5)\/(125\/(-110835)). What is the tens digit of x\/(-155) + (-4)\/10*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -12. Which is the second biggest value? (a) 4 (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a + 42 - 22 - 22)*(-1 + 1 + a**2 + (-4*a + 2*a + 4*a)*(-1 + 1 + 2*a) - 6*a**2 + 7*a - 7*a).\nAnswer: -4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 1214*a**3\/3 - 254132*a**2 - 1022160*a + 10112\/3 = 0.\nAnswer: -4, 2\/607, 632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -535\/411 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -588, -3914, -9434, -17148, -27056, -39158, -53454?\nAnswer: -69944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + 2 + -3*-6*sqrt(7))**2 - (2 + sqrt(700) + -5 - sqrt(700))*-2.\nAnswer: 76*sqrt(7) + 2525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155582 is divided by 5761?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 + 2*r - 30*r**3 - 26*r + 2*r**2.\nAnswer: -30*r**3 - 24*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 + 70*v\/9 + 68\/9.\nAnswer: 2*(v + 1)*(v + 34)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l + 66 = 30*l. Let o(r) = 2*r**2 + 37*r - 198. What are the prime factors of o(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4453*y - 4*q - 9 = 4454*y, -5*q - 20 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 7*b**2 - b + 2. Let j be s(-7). Let c(q) = 4*q**2 + 0*q**2 + 8 - j*q - 2*q. Is c(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z + 36 = 0. Suppose -4*k - 74 = -z*k - 4*b, -5*k + 4*b = -66. What is the remainder when 27 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-1)\/1)*9758\/(-8364)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 3804872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + g + 2 = 0, -6 = -4*k + 2*g + g. Solve 3*j - 5*v = 10, -5*v - 10 = -k*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*a + 2*f - 9, -2*a = -2*f. Suppose -7*k + a*k = 2*o - 26, 6 = 2*o. Is (-798)\/(-2)*(32\/6 - k) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 63*j**2 + 24*j - 254. Let m be h(-32). Let c = 3 - 6. Let x = 11 - 8. Sort c, m, 4, x.\nAnswer: c, m, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 710 - 666. Suppose 0 = -t*k + 7151 + 55241. Is 37 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - 2*s**3 + 5*s**3 + 0*s + (5*s - 2*s - 4*s)*(0*s**2 - 2*s**2 + 0*s**2) - 8 - 5*s**3 + 8 - 3*s**3 + 0*s**3 + 7*s**3 - 32 + 8*s**3 + 32.\nAnswer: 12*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y - 8*y)*(y - y - y)*(-y**2 + 2*y**2 + 0*y**2).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484884 is divided by 4252?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 1:46 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5469?\nAnswer: 3, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-17 + 3) - (-46 + 23)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22765633*z**2 + 11382812*z**2 + 11382795*z**2.\nAnswer: -26*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13639 - -19175. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - -1*(0 + 2). Suppose x = -u*m + 3*m + 6, 2*x - m = -8. What is the common denominator of -21\/11 and (9\/x)\/((-35)\/(-28))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 10 - 1 = 0. Differentiate -8 + 8 - 10*a**l + 11 wrt a.\nAnswer: -30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 4*g + 0*g)*(0*g**2 + 0*g**2 - 4*g**2)*(-2 + 1 - 3).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*m**2*r - 25*m**2 - 36*m*r - 48*m - 2343*r**4 + 66 with respect to r.\nAnswer: -6*m**2 - 36*m - 9372*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 10:38 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11370 * -0.02\nAnswer: -227.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30855 divided by -51.\nAnswer: -605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from fssfzmmzsmzmm?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -191, -289, -499, -857, -1399, -2161, -3179?\n\"Answer: -6*b**3 - 20*b**2 + 4*b - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -7*x + 11 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13089 is divided by 13084?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13527\/39 + -11 + 6. Let b = n + -342. Let j = -0.19 + 0.09. What is the closest to j in 0.5, 1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u - 28*u**3 + 17*u**3 + 5*u**3 - 16*u**2 - 68*u**2 + 4*u**3.\nAnswer: -2*u**3 - 84*u**2 - 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 2*f**3 - 3*f)*((4 - 4 - f)*(-5*f + 2*f + 0*f) - 3 - f**2 + 3).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h - 26. Let i(n) = -1. Let x(t) = -2*i(t) + w(t). Let d be x(-7). List the prime factors of ((-54)\/(-4))\/(10\/d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 35840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 1 + 1 + (6*o**2 - 4*o**2 - 3*o**2)*(0 - o + 0) + 1 + 2*o**3 - 1 - 335*o + 112*o - 220*o**3 + 111*o + 112*o.\nAnswer: -219*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 0.04 (c) -327 (d) -7668\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-15)\/6 - 11355\/(-24). Let k = 471 - f. Is 0 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7582 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.103237113 rounded to 2 dps?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 9\/2, 0, 4 in decreasing order.\nAnswer: 13, 9\/2, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -207*-3\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860108 is divided by 215025.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 4*x + 3. Let j(d) = -d**2 + 1. What is 3*j(p) - o(p)?\nAnswer: -7*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-8) + (-32)\/(-6 + -2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*t = 1 - 12, 3*j - 4*t = 39. Solve -3*y + 4*m + j = -6, -5*y = 2*m - 21 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173\/4, -36, -19\/4, -1 in ascending order.\nAnswer: -173\/4, -36, -19\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*-3)\/sqrt(8)*5 + 0.\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*8\/224*-4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrlmlrmmm. What is prob of picking 1 r and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 701 a factor of 1323216713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303628.1 nanometers to micrometers.\nAnswer: 303.6281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -47600 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 0.3, 5\/3, -2 in descending order.\nAnswer: 5\/3, 0.3, -0.1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (12\/36)\/((-2)\/(-3))*-12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 31?\nAnswer: 7\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 + 16*w**2 + 33*w + 4. Let o be l(-4). Solve o*s = -3*s - 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*s*x**3 + 22*s*x - 2288*x**3 wrt s.\nAnswer: 7*x**3 + 22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/(-70) + 25\/(-30)*(-6)\/(-50)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 112995*m**2 + 1063932669*m - 1064045667.\nAnswer: 3*(m - 1)*(m + 18833)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -27. Let g = 0 + 29. What is the remainder when g is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 229.0836 meters to nanometers.\nAnswer: 229083600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*v + 617*v - 133*v - 17292 = 5*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(754\/(-16)))\/((-2860)\/18590).\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46597191 to the power of 1\/2, to the nearest integer?\nAnswer: 6826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -20.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 2403 - 2403 + 0*i**3 + 2*i**2 - i**3 in the form k + q*i + d*i**3 + o*i**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 11*f**3 - f**2 - 17*f - 23. Let g(b) = 5*b**3 - 8*b - 11. Let w(m) = 9*g(m) - 4*l(m). Let n(i) = -4*i + 27. Let k be n(8). Determine w(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1790 divided by -31\nAnswer: -1790\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**6\/6 + 7*w**4\/4 - 2*w**3\/3 - 6*w**2 + 8*w - 7. Find y such that i(y) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 9*p = 10. Let l(q) = q + 2. Let i(t) be the second derivative of t**3\/2 + 7*t**2\/2 - t. Give p*i(y) - 7*l(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 90, 93, 96, 99, 102?\n\"Answer: 3*k + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 times 596?\nAnswer: 247936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.096009ml?\nAnswer: 0.006096009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 30 = 4*o. Suppose -2*w - 3*j - 4 = 1, 5*w + 5*j = o. Let i be (0 + 6)\/(-3)*-4. Solve 0 = -2*x - 2*r - i, x + 14 = w*r - 8*r for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 640194 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -66\/23? (a) 5\/3 (b) 5 (c) 2\/3 (d) -0.141 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -460 + 453. Sort h, -3, -8, -5.\nAnswer: -8, h, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**4\/6 - 7*x**2\/2 + 5*x. What is the derivative of p(n) wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 10) to base 15.\nAnswer: -a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0548416 rounded to four decimal places?\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -707, -1575, -2423, -3251, -4059?\nAnswer: -4847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13464)\/902)\/68*10\/(-45).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from kqqqqfpk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5798994, -5798992, -5798988, -5798982, -5798974, -5798964?\nAnswer: -5798952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0.104 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -8*d - 7. Let p be (-6)\/36 - (-15)\/(-18). Let h(f) = -f. Let t(n) = p*k(n) + 6*h(n). Let q be t(0). Solve c = 3*y + 7, 2*c + 4*y - 3*y - q = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 7:11 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-25553)\/1111 + (-122)\/(-6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483\/6*(35\/((-16170)\/(-88)))\/(1 - -3).\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/4131 and -35\/17.\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1578364?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.7 + -1.1. What is the third biggest value in h, -0.1, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r + 137*r - 1092 = 0. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 16, 0.1, -1 in increasing order.\nAnswer: -1, 0.1, 2\/3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 297*k**3 - 835*k**2 + 53*k**2 - 13 + 93*k**2 - 790*k**2 - 1812*k - 23.\nAnswer: 3*(k - 6)*(k + 1)*(99*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22520 or -22521?\nAnswer: -22521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 + 38. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = l + 10. Suppose -3*d + 2 + 4 = i, 0 = 4*i + l*d - 17. Let k(h) be the third derivative of -h**5\/30 + h**4\/6 - h**2. Calculate k(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2. Let a(o) = -2*o + 14. Let r be a(0). Let b(z) = -2*z**2 + 14 - r. What is b(l(g))?\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27456*y + 51758*y - 1 - 17*y**3 - 11*y**3 - 24302*y.\nAnswer: -28*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29804 + -18636. What is f rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*z - 2 + 42*z + 22*z + 10 - 6 to the form o + g*z and give g.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -0.5, -1, 53, -344\/11, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 34. Let d = -25 + w. Which is the biggest value? (a) -0.2 (b) 5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**0)**(-1\/21)*(y*y**(-3))\/y**(2\/13) assuming y is positive.\nAnswer: y**(-601\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*m - b + 252, -4*m + 252 = -2*b. Let k(x) = x**3 + 49*x**2 - 99*x + 237. Let f be k(-51). What is the greatest common factor of m and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 6\/5 (c) -4 (d) -2 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 3\/(-3))\/1. Suppose 3*r = -2 - y, -2*v = 2*r. Suppose -v = -2*u + 27. What is u rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 + o + 7. Let n be i(-7). Let j be 1\/1 - (n - -29). Let z = 63 + j. What are the prime factors of z?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 1033 = -371. Find the common denominator of (178\/r)\/((-336)\/(-126)) and -61\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4*(101\/4 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27001838, 54003681, 81005524?\nAnswer: 108007367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/7 - 95\/(-35). Let k(h) be the second derivative of -1\/8*h**2 + 0 - h + 0*h**c + 1\/48*h**4. Factor k(t).\nAnswer: (t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 24.\nAnswer: 0, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(8\/144*-3*21)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*s + 9*s - 80*s - 96*s to k + c*s and give c.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 3*l + 4. Let a be q(-3). Suppose 7*m - 5*v - 1 = a*m, -v = 5*m - 39. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6781 + 1519*k - 6781)*(2 + 0 - 4)*(1 - 2 - 1).\nAnswer: 6076*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011179 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132144852?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 272\/238 + (-4)\/(-14). Factor 2\/7*m**4 + 16\/7*m**2 + 0 - 8\/7*m - n*m**3.\nAnswer: 2*m*(m - 2)**2*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + r + 8, -4*l + r - 5*r = -16. Suppose -5*n - 6*k = -k - 50, 16 = l*k. Solve u = 4*u - n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.794 to one dp.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.01 + -1. Suppose w + 10 = -4*l, 0 = -320*w + 322*w - 20. What is the nearest to f in 2, -0.5, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 636661?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*(-3)\/(-2 - 1). Suppose b - 2 = -k. Solve p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 - -44. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/((4\/(-5))\/(2\/(-5))). Suppose 3*a + 5*o = 7 - 20, 4*a = d*o + 41. Put -4, a, 5, -3 in ascending order.\nAnswer: -4, -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 255, 365, 475, 585?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 7) in base 4?\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2377, -4752, -7127, -9502?\nAnswer: -11877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8323, 16637, 24947, 33253, 41555, 49853?\nAnswer: 58147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2, -1, 4, 348, 0 in decreasing order.\nAnswer: 348, 4, 2, 0, -1, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821 a factor of 6489086426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.73 + 3.8. Let b = 0.07 - q. What is the nearest to 2\/7 in -2, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {r: 4, n: 4, e: 3, c: 1, o: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 15 = -45. Let i = 12 + u. Solve 0 = -i*n - n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46803443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67031522 + -3.\nAnswer: 67031519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4700 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, c: 2, i: 2, l: 1, t: 1}. What is prob of picking 1 c, 1 l, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**5 + 7*s**5 + 2*s**5 + (2*s - 1 + 1 + 5 + s - 5 + (2 - 3 + 3)*(-3*s + 5*s - 3*s) + 4*s - 14*s - 5*s)*(-s + s - 2*s**4).\nAnswer: 38*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -245, -479, -715, -953?\nAnswer: -1193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 97.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65658701*r + 65658607*r = 5358 for r.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 + -3 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 + 26 - -33) + -28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + -0.6. Suppose -3*z = -0 + 9. Let m be 17\/6*-1 - z. What is the nearest to 1 in m, -4, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 41 + 36 + 72*f - 68*f.\nAnswer: 4*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {w: 1, n: 2, g: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1162015 and 408575?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1232429*a**3 + 2*a**2 - 3735*a + 13.\nAnswer: -7394574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-2*a + 0 + 0) - 6626 + 529*a + 6626 as f*a + n and give f.\nAnswer: 531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 179514 (base 12) to base 5\nAnswer: 101112042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Suppose -3*s - 19 - 56 = -3*a, -h*a + 5*s = -102. Let i = -10 + a. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432 - 2152\/5. Suppose 11*h + 17 = -5. Let b be (h\/(-35))\/(-5*(-3)\/75). Which is smaller: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399258 is divided by 5623?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 6*y**2 + 2*y + 8. Suppose -3*x = -x - 6. Let v be 2*x\/(-15)*15. Calculate q(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 3*l**2 - 11*l + 13. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 15 = 5*i, 0 = -3*n - 31*i + 26*i - 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 24. Differentiate -17*u**3 - 22 - 8*u**3 + t*u**3 wrt u.\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3563 + 3585. What is the remainder when (0 - 1)\/(1\/(-43)) is divided by m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.76, 310, 0.1.\nAnswer: -2.76, 0.1, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 7*x**2 - 9*x - 2. Let q be p(4). Suppose q*k = 5*k + 2215. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 71871640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70793.\nAnswer: 70793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r**2 + 8078*r - 16131*r + 8053*r.\nAnswer: 14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -21027*g**2 - 313. Let u(n) = 3505*n**2 + 52. Let q(y) = -4*o(y) - 25*u(y). Find the first derivative of q(j) wrt j.\nAnswer: -7034*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 729*q + 31684. Calculate t(41).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.054755038 to four dps.\nAnswer: -0.0548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*h**3*p**5 + 171*h**3*p**3 + 1633*h**3*p**2 - 2*h**3 + 2*p**2 wrt p?\nAnswer: 2280*h**3*p**2 + 1026*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 + -6931462563.\nAnswer: -6931462564.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k + 3*k - 3*k as t + i*k and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 11:40 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1. Let y(q) = q - q**2 + q - 2*q - 24 + 22. Determine -5*h(v) + 2*y(v).\nAnswer: -2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0224032519 to 6 decimal places.\nAnswer: -0.022403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 124.1281 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34858 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwvgnngttg. Give prob of picking 1 n, 1 t, and 1 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/4))**(-2\/11))**(-48))**(-16\/5) assuming d is positive.\nAnswer: d**(384\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = 2. Suppose -2*d = -b - 6, -d + 0*b + 4*b + 17 = 0. Let m = d - n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 - 20*a**3 + 7*a**2 + 6422882 - 6422822 - 3*a to m*a**2 + x*a**3 + j*a + r and give r.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(24\/(-15))*218. Is 11 a factor of (-2)\/(-10) + u\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 883789 divided by 9\nAnswer: 883789\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460 - -309. Let o = k - -203. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {x: 1, b: 3, s: 1, m: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6) - 48\/(-18)) + -1. Suppose -4 = -p - 2*n, t*n - 7 - 1 = -3*p. What is the units digit of (260 + 2)*(p\/4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 3*w**2\/2 - 1. Let f be (-22)\/6 - 3\/9. Let n(y) = 17*y. Let t(l) = 6*l. Let h(j) = f*n(j) + 11*t(j). Give i(h(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302087 is divided by 37746.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1924*i + 1430*i + 19760 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/167046 and -137\/97585236?\nAnswer: 1073437596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*f + 4*f**2 + 22*f + 26*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -9*p**3 - 2*p**2 - 2*p - 2. Suppose 287 = -31*b + 194. Let g(d) = 3*d**2 + 2*d**3 + 11*d**3 + 3 - d**3 - 2*d**3 + 3*d. What is b*i(y) - 2*g(y)?\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14055668 by -92.\nAnswer: -152779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.012 + 1.3168918\nAnswer: 1.3048918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {j: 8, o: 6, e: 1, x: 1, s: 4}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 7) to base 16\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 443. Let j(i) = -4*i + 874. What is -3*j(x) - 5*z(x)?\nAnswer: -3*x - 407","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 11:28 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-6)*s*s)\/(s\/((((s*s**9*s*s*s*s)\/s)\/s)\/s)))\/(s**(2\/13))**48 assuming s is positive.\nAnswer: s**(8\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaggagaagggggggggggg. What is prob of sequence aa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 7*r - 4*r)*(r**2 - 5*r**2 - 3*r**3 - 2*r**2 - 1) as g*r**2 + y*r**4 + h + z*r**3 + t*r and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(3 + (sqrt(684) + 0 - sqrt(684))) - (-1*sqrt(684)*2 + sqrt(684) + 0)) + 0)**2.\nAnswer: -36*sqrt(19) + 693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and ((-271)\/30 - -1) + (-3)\/(-15).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*j**3 - 34*j**4 - 2 + 31*j**4 - j + 2*j to the form f*j**2 + o + r*j**3 + m*j**4 + k*j and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**2\/4 + 1146*r - 4583\/4 = 0 for r.\nAnswer: 1, 4583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -533, -1053, -1573?\n\"Answer: -520*r - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 28 = 4*o, -4*o - 28 = 4*o - 76 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*o = o - 657, 2*s = -5*o + 441. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*l = l - 4, 2*y - 2*l = 0. Suppose -y*m + 34 + 3 = 5*s, -2*m = 2*s - 16. Suppose -5 = -g - 2*k, 5*g = 4*k - 0 - m. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 8) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(343) + 0).\nAnswer: 2 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 6. Let u(p) = -2*p**2 + 7*p + 14. Let b(v) = 7*j(v) + 3*u(v). Let h(y) be the first derivative of 147*y**2\/2 + 2. Determine h(b(x)).\nAnswer: 147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 4 - 25 - 3*r - 71*r**3 - 5*r**2 + 21*r**3 in the form n*r + a*r**2 + p + g*r**3 and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(1*sqrt(9)*-1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 1 + 5*s**3 + 6*s**3 - 2*s**3 + s**2. Let o = -141 - -147. Let q be (-13)\/(-26) - 9\/o*1. Calculate b(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -319 - -3193\/10. Calculate the common denominator of b and (-4)\/(216\/363) + 1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 3*f - 9 = 0, -4*f = -8*i + 4*i + 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 20 + 16*w**2 + 35.\nAnswer: 16*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3897433\/56 + 69595. What is the common denominator of h and ((-9)\/26)\/((-9324)\/1443)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 40 = -5*k, -25 = -4*k - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -32, -38, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 75393*l**2 - 37695*l**2 - 37697*l**2 + 2*l. Give d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046958 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-99)\/165 + 188\/18*11\/110?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/7, 0.4, -0.134, 0.29?\nAnswer: -0.134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530 divided by -6?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 8}. Give prob of picking 1 y and 1 a.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 5)*(2*u - 1 + 1)*(-102*u**3 + 9825*u - 9825*u) to the form m*u**2 + k*u**4 + o*u + l*u**3 + q and give k.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 682364.3l in millilitres?\nAnswer: 682364300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r**3 - 3*r**2 - 162*r + 625. Give u(4).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4565278496?\nAnswer: 2, 41, 89, 39097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1202833 + -36564229.\nAnswer: -35361396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -23. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + 39. Suppose 53*q - 50*q = 12. Suppose -74 = -q*p + 2*p. What is the remainder when p is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-114)\/(-6))\/399)\/((-2)\/12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 6*(sqrt(208) + -2 + sqrt(13) + sqrt(117)\/sqrt(81)))**2 - 3*(sqrt(468) + 2 + sqrt(468) + -1)*2.\nAnswer: -584*sqrt(13) + 13370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y**3 - 31*y**2 - 3*y + 17. Let t(p) = -413*p**3 - 10*p**2 + 6 - 10*p + 9*p + 411*p**3. Determine 4*i(j) - 11*t(j).\nAnswer: -2*j**3 - 14*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 3 + 33 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 - 14*s + 2. Let x be v(8). Calculate the greatest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from biiib.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Find the first derivative of -1 + 4*x**2 - x**l - 2 - x**2 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-404)\/(-18) + 452\/(-1017). Calculate the highest common factor of m and 704.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -597, 30 in descending order.\nAnswer: 30, 4, -3, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2142 and 2686.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(((12\/40)\/(-3))\/1). Let b = d + -194. What is the greatest common factor of 84 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-36) + (-1)\/(-4). Let v be (1\/5)\/(8\/60). What is the biggest value in v, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:53 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8286977*b - 2. Let q be k(5). Let c be 418\/(-33)*9510771\/(-2). Let j = q - c. What is j rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i - 2. Let d(g) = 963*g**2 + 54*g - 108. Determine d(n) - 54*q(n).\nAnswer: 909*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32609450, 32609446, 32609442, 32609438, 32609434?\nAnswer: 32609430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + -3*-2*sqrt(77) + sqrt(77))*-6)\/(-1*(2*sqrt(700) + sqrt(700))).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3.04, 955, 1 in increasing order.\nAnswer: -1, 1, 3.04, 955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 2*c**2)*(110 - 33 + 19).\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -91111 and -8.\nAnswer: 728888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -46698 * -6.7\nAnswer: 312876.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-18) - 10\/45. Let u = -0.3 - -0.8. Which is the third biggest value? (a) u (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1714614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5118649 divided by -3\nAnswer: 5118649\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1395 is divided by 421?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2*s**2 + r**2 - 33*r*s + 40*r + 11954*s**2 wrt r.\nAnswer: -2*r*s**2 + 2*r - 33*s + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1643 - -1642.6. Let k be (0\/2)\/(-2 - -1). What is the nearest to 0.1 in l, k, -1\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1459537, 1459543, 1459549, 1459555, 1459561?\n\"Answer: 6*s + 1459531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -33. Is 25 a factor of (n\/20)\/((-6)\/(-620))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((175032\/110)\/51 + -30)\/(2\/(-65))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 19. Suppose 0 = -b - b + z. Solve -b*g - 4 - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from xggdooobgggogbpood?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23, 49, 89, 149, 235, 353?\n\"Answer: v**3 + v**2 + 16*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -16*d**2 - 17*d**2 + 39*d**2. Let p(s) = -3*s. Calculate p(i(u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/18)\/1*1. Suppose -2*f - 6*r + r - 3 = 0, f = -2*r - 2. Sort 0, f, o.\nAnswer: f, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 44. Let a = -1 - 5. Let k be (-2 - -11)*(-2)\/a. Solve -3*g + m = k*n + 2, -2*n + 11 = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 5*b - 4*o, 5*o = -2*b - 0*b + 86. Calculate the remainder when 9620\/518*(-14)\/(-2) is divided by b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 690442 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80986*i**3 + 80922*i**3 - 242890*i**3 + 81004*i**3.\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -0.4 (c) 2\/59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-14625)*26)\/(1\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-620)\/(-651))\/(2\/(-12))*(-93)\/((-1209)\/182)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 4. Suppose 4 = -3*l - 5. Let u(n) = 18*n - 2 + 0 + 0 - 22*n. Let d(i) = 9*i + 3. Let b(j) = l*d(j) - 7*u(j). Determine 2*b(c) - 3*g(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -3*n**2\/2 - 4*n + 5. Determine f(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -h. Let a = h + -4. Let f = -4 + a. Which is bigger: -1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.78*15404.\nAnswer: -12015.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -799.4 - -473. Let r = x - -312.43. Let h = r + 14. What is h rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3 - 5196*z**2 - 451449*z - 882090.\nAnswer: 3*(z - 1815)*(z + 2)*(z + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159391 - 103962. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*l**2 - 5\/3 + 4\/3*l.\nAnswer: (l - 1)*(l + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12320 divided by 56?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 1. Let i(p) = -2*p**3 + 6*p**2 + 6*p - 5. Let g(t) = -2*d(t) - i(t). Let m(o) = o**2 + o - 1. What is g(u) + 4*m(u)?\nAnswer: 2*u**3 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzu when three letters picked without replacement from {z: 2, u: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1696302 - -12?\nAnswer: -1696290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*sqrt(343) + 3) + (sqrt(147)\/sqrt(3)*-1)\/(sqrt(7) + ((sqrt(7) + sqrt(7) + sqrt(28)\/sqrt(4))*-5 - sqrt(7))))**2.\nAnswer: 3786*sqrt(7)\/5 + 2805352\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 92 - 92. Which is the closest to d? (a) -13 (b) -0.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359863924 is divided by 2340.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 761046281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, c: 10}. What is prob of sequence ccic?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y - 2. Let t(p) = 14*p. Determine l(t(a)).\nAnswer: 56*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (17 - 8) + (-280)\/30 - 194\/1200 and -187\/1260.\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172991, -691948, -1556871, -2767760, -4324615, -6227436?\nAnswer: -8476223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23201 - 15744. Suppose 5*n - 3*v = 5165 + j, 0 = -3*n + 3*v + 7578. Suppose -u = -5*x - 1345, -5*u + 2*x = -4249 - n. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.88 - -3.12. Let r = d - 27.02. Let w be 4\/(-18)*12\/(-8). Which is the second biggest value? (a) w (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-8)*322\/161*(-1 - -3)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 1. Which is the nearest to -0.1? (a) 0.4 (b) -1\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - 51\/12. Let g = 9 + w. Suppose 0 = -4*n + n + 60. What is the highest common factor of n and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/105976?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -497 + 159 = 29*u - 3*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 4*k + 44. Let n be o(-11). Solve -5*v - 3*l + 4*l + 16 = n, -4*v - l = -20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 904 = 2*g. Let d be -1 + 0 - g\/(-2). What is the greatest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6604 and -115\/24.\nAnswer: 39624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-20) - (-1464)\/(-305) - 2340\/39\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 1:36 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115196951 is divided by 1354.\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 11 = -5*z, 4*z - 3*a - 14 = -a. Let h be (-5324)\/11690 + (-14)\/35. Let l = h + -2\/1169. Is z < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lvslsv. What is prob of picking 1 l and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -2839.\nAnswer: -3\/2839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 8*c**2 - 10*c - 7. Let s be t(-9). Let w(j) be the third derivative of 0*j + 1\/12*j**4 + j**s + 0 - j**3. What is w(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5707237 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k**2 - 54*k + 51. What is l(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 27*l + 25. What is the hundreds digit of y(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 - -95. What is the lowest common multiple of q and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - 20a?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 a, and 1 h when three letters picked without replacement from {h: 5, r: 4, u: 4, y: 1, a: 5}?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111202 (base 5) in base 8?\nAnswer: 7527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -133411 + 0.0721354?\nAnswer: -133410.9278646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 5*r**2 + 6*r + 3. Let g be w(6). Suppose -2 = x - s, 6 = -s - s. Sort g, x, -2 in descending order.\nAnswer: g, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u + 1, -5*u = -3*p - 3. Let y be (-4)\/((-1)\/(-2)*p). What is the units digit of 8\/12*(-33)\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -132. What is the nearest to 0 in 3\/2, 2\/13, p?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2280286 and -0.02?\nAnswer: -45605.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/6 - p**3\/3 + p**2 - p. Suppose g = -4*g - 45. Let j(b) = -8*b**2 - 9*b + 9. Give g*w(k) + 2*j(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2209, 4420, 6631, 8842, 11053?\nAnswer: 13264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85969 and 312507.\nAnswer: 2066608791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20338 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-13)\/(-6) - (-1 + 0). Let j = z + -5\/3. Which is the third smallest value? (a) j (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*a**3 + a + 3*a - 4*a.\nAnswer: -832*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4374.784356 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**5 - 90*x**4 - 295*x**3 + 1090*x**2 + 300*x - 1000 = 0. Calculate x.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**2 - 9*y + 13. Is a(-11) a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(-27 + 27 - 10*r) + 0*r - 2*r - 7*r.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -207347 at most as big as -206935?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 336 a factor of 1102061866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z\/z**1))*z*z**(-17)*z assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773*c + 759*c = -316582. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*q**5 - 4*q + 52*q**2 - 52*q**2 + 2*q**5 - 5*q**5 + 2*q**5 + (6*q**2 - q**2 - 3*q**2)*(-3*q**3 + q**3 + 0*q**3).\nAnswer: -12*q**5 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 126.99668. What is z rounded to 4 decimal places?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 2 - 12 - 4*n + 3*n**2. Let q be y(-3). Calculate the highest common factor of q and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 148, 609, 1380, 2461, 3852, 5553, 7564?\n\"Answer: 155*p**2 - 4*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -30. Let u be 11\/4 - (-5)\/d. Suppose -18 = -z + t, 1 = t - u. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7245, -20170, -41703, -71838, -110569, -157890?\n\"Answer: k**3 - 4310*k**2 - 2*k - 2934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3139*u**2 - 54741*u**2 + 51682*u**2.\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from {a: 4, e: 4, t: 2}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46 - 290432625562.\nAnswer: -290432625516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 40. Suppose 2*c + 3*c = n. Solve -m + c = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2699*h**2 - 5*h + h**3 - 2848*h**2 + 36*h.\nAnswer: h**3 - 149*h**2 + 31*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - 34*i**2 + 34*i - 29. Let m be s(16). Solve u = 2*n + n + 8, -5*n - m*u = 32 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -59. Let p be (-15)\/t*15*1. Let v(b) = -b**3 + b**2 - 5*b. Let w be v(-4). Calculate the highest common factor of w and p.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1514\/(-111) + (-14)\/42 - 14*-1.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -61021006 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/2*6\/(-5). Find the third derivative of -18*v**4 + n*v**4 + 0*v**2 - 2*v**2 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*f + 18, 3*f + 16 = -f. Suppose -4*g + 3*q + 133 = 0, z*g + 37 = 3*g - 2*q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*((u*u**(7\/2))\/u)\/u*u**(-1\/4)*((u\/(u\/u**(12\/7)))\/u)\/u**(-5) assuming u is positive.\nAnswer: u**(251\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugguuu. What is prob of picking 2 u and 1 g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.94768kg in nanograms?\nAnswer: 7947680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*o - 2070, -31 - 2029 = -5*n + 3*o. What are the prime factors of n?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*-6*(-59)\/(-32627)*553.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 53?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -162, 5, -1\/2, 2\/75, -4\/15 in descending order.\nAnswer: 5, 2\/75, -4\/15, -1\/2, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzx when three letters picked without replacement from {z: 1, n: 6, e: 1, a: 3, x: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 176*s + 348*s - 172*s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2467*l = 713*l - 9612 - 3108 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from hdyyhyyzzzhzyyyyzy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 293 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 455685?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*j**5 + 72571*j**4 + 13*j**2 - 4032482 wrt j.\nAnswer: -1020*j**2 + 1741704*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-3 - -4 - 1). Suppose -o*d - 3*d = 35. Let y = d - -9. Solve -y*q + 3*f - 3 = 4*f, 5*f - 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 241167 - 2651068\/11. Let g = a - 161. Which is smaller: 0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-2\/7))\/a**0)\/(a\/(a*a**(1\/11))*(a**(-6)\/a)\/a))\/((a\/(a*a\/a**(-1)*a))**19\/((a**(-1)*a)\/a*a**(3\/2))) assuming a is positive.\nAnswer: a**(10211\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/13096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405725 by -81145.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(55)*-2*-3 + -5*(sqrt(495) + sqrt(55)))\/(sqrt(15)\/(3*sqrt(15)\/sqrt(5)))*4.\nAnswer: -156*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 2. Let w be j(0). Suppose c + 2*c + 3*q - 9 = 0, -3*q = -2*c - 9. Let l(v) = 3*v + w*v + c*v. Let y(m) = 2*m**2. What is y(l(d))?\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5 + 4*v - 2\/5*v**2.\nAnswer: -2*(v - 9)*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**6\/12 - 11*j**5\/4 + 35*j**4\/3 + 30*j**3 + 194*j**2 + 2. Factor b(v).\nAnswer: -5*(v - 2)*(v + 18)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -144 - 0?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(3)*6 + (sqrt(24) - (sqrt(24) - sqrt(96)))\/sqrt(8) - (-1 + sqrt(48) + sqrt(3))**2*-3*2.\nAnswer: -70*sqrt(3) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2759\/11 + -251. Let o = 43\/39 + 3\/13. What is the nearest to -2\/7 in o, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**2 + 8115*o + 426870 = 0. What is o?\nAnswer: -51, 1674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2877*g + 9*g**2 + 2877*g.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/10)\/(60170\/6700). Let g = 2\/547 + w. Which is bigger: 2\/7 or g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1404*g + 179. Is r(-47) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2533 + -2537. Let o = 5.4 - -18.6. Let f = -15 + 46\/3. What is the closest to o in f, 1\/4, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.72 - -430.82. Let t = 464 - u. What is t rounded to zero decimal places?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 i when three letters picked without replacement from {i: 7, k: 2, d: 1}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (7562\/2016 - 4) + 10\/45. Let d be 36\/90 + 14\/(-10). Which is bigger: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 1193*b**2 - 77541*b - 280. Give m(65).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -893.9 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101.269+36782.81886\nAnswer: 36681.54986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27632*b*i*x*y**2 - 15*b*i*x*y - 3*b*i*x + 4*b*i*y**2 + 3*b*x*y - 5*b*x + 2*i*y - i wrt y.\nAnswer: 55264*b*i*x + 8*b*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*y + 194*y - 4662 = -263*y for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -70*u**3 - u**2 - u - 1. What is the units digit of f(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*b = 8 - 0, -2*p = 4*b - 12. Find the second derivative of 11 + x**p - 11 + x wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(5\/8)\/((p**(17\/4)\/p*p)\/p)*p**(3\/14)*p**(-5\/9))**(-1\/43) assuming p is positive.\nAnswer: p**(1495\/21672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 159*m**2 - 968 + 282 + 686. Let a(v) = -75*v**2. What is a(d(c))?\nAnswer: -1896075*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/23 in 0.4, 33, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 z when four letters picked without replacement from zddddzzd?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 34551 + 1?\nAnswer: 34552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 71346446\nAnswer: 6\/35673223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2a747 + 259?\nAnswer: 2a9a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 0*m**2 + m**2)*(-45*m**2 + 4*m + 23*m**2 + 27*m**2) in the form s*m**2 + b*m**3 + l*m**4 + w*m + a and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 851, 1701, 2551?\nAnswer: 3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -12. Let p = x + -19.1. Let m = 0 - 0. Which is the second smallest value? (a) 0.5 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90572 - 30279577.\nAnswer: -30189005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9604, -19208, -28812, -38416, -48020?\n\"Answer: -9604*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 285\/(-3268)*7*(-36)\/(-315).\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -8. Let n be l\/(((-81)\/6)\/9). Let a(h) = -h + 9. Let b be a(5). Solve u = -3*m - 2, -n - 4 = -b*u + 2*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3301117 minutes to nanoseconds.\nAnswer: 19806702000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.2 - 21.4955. Let x = -1.50382 + h. Let c = -0.8 - x. Round c to 4 decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20553432 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/42034 + -1513417\/8112562. Let l = a - -9287\/1158. Calculate the common denominator of (-191)\/63 + (714\/882 - (-2)\/(-3)) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19*f + 4. Let z(k) = 35*k - 7. Let o(n) = 7*v(n) + 4*z(n). Let b(d) = 36*d**2 - 3*d. Determine b(o(t)).\nAnswer: 1764*t**2 - 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38249855 is divided by 1369.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004505982904 rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*z = -0*l + 10, -l = -z. Suppose -l*i - 7 + 17 = 0. Let n(d) = d**3 - 4*d**2 + 2*d + 1. What is n(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2 - 1. Let v(l) = 4 - 4*l + 6*l - 3*l + q. What is v(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.815 + -0.185. Let o = -0.6 - 0.4. Which is smaller: o or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -67860 rounded to the nearest 100?\nAnswer: -67900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -10*u**3 + 0 + u**2 + 1 - 2. Let y be g(-1). Suppose -5*i + y = -5. Solve 0*t = i*w + t + 9, 2*w + 4*t = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*b**2*h**2*k**4 + 111*b**2*h**2 + 2*b**2*k**2 + 2*b*h**2*k + 4*h**2*k**3 wrt k?\nAnswer: -456*b**2*h**2*k + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 552027654*j**4 - 40916846 wrt j.\nAnswer: 2208110616*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n - 48*n - 8 = 0. Solve 2*t + 10 = -t - 4*d, 0 = n*t - 5*d - 24 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 207999*z**3 - 191887*z**2.\nAnswer: 1247994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 362, 369, 382, 401, 426?\nAnswer: 457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n + 24. Let a(r) = r**3 - 9*r**2 + 12*r - 28. Let v be a(8). Let y be u(v). Solve 2*f - 6*f + 16 = y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -9. Let j be (-1 + 3)\/g*13. Suppose j = 2*n + 3. Let m(u) = -u + 2. Calculate m(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.16 + 0.54. Let s = x + -0.1. What is s rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68648164 or -343240819\/5?\nAnswer: -343240819\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31165634 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 103f + -17?\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-110) + 159\/33 + 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(16 + (-725)\/45). Let u(p) = -6*p - 49. What is u(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 588, 642, 696, 750?\n\"Answer: 54*v + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*k = -209, 0 = -2*h + 7*h + 2*k - 1037. What is the greatest common divisor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.051 + -5.349. Let j = o - -5. Let z = 2.9 + -3. Which is the closest to z? (a) 2 (b) j (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 u when four letters picked without replacement from vyhvvuuyh?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*b**2 - 319 + 319)*(b - b + 2*b).\nAnswer: 304*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 30532?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -618546, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -104*k**2 - 327*k - 48. What is g(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = -2*l. Let d be 6\/l*12\/9. Solve 2 + 2*u + 2*u - 2*u**d - 2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.358 - -0.358. Let f = -77\/2 - -37. Which is the closest to f? (a) 2\/5 (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5013887 a multiple of 324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/3, -15.6, -42, -1\/2, -153 in descending order.\nAnswer: 2, 4\/3, -1\/2, -15.6, -42, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 677 = 5*d, -d - 2*d + 837 = 5*c. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1166)\/90 + (-392)\/(-252)?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x = 29*x - 108. Solve -5*b = -15, 2*u = x*u + 4*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3*c - 10, c + 3 = -1. Suppose -18 = -a + 9. What is the third derivative of -27 - 2*i**3 + 2*i**r + a wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 16 - 0, -5*v - l - 146 = 0. Let b = v + 11. Let o = 62 + b. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (3 + -6 - -9) - -30 - (-8 - -1).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-924)*22*(17\/1479)\/((-1)\/14)\nAnswer: 4\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + 21. Let d = h + 31. What is the biggest value in d, 1, -2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19493 or 19495?\nAnswer: 19493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/4 + 2843*b**4\/2 + 120729*b**3 + 2544570*b**2 = 0. Calculate b.\nAnswer: -42, 0, 5770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(9\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28820354 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: Simplify ((sqrt(50)*-2)**2 + (sqrt(2) - (sqrt(2) + sqrt(6)\/sqrt(3))**2*2))*2 - (-4*(sqrt(242)*-2)**2 + 0 + sqrt(242) + 0).\nAnswer: -9*sqrt(2) + 4240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -13369.4243426.\nAnswer: 13366.4243426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/((9 - 6)\/(-3)). Let x be -37994 - p*(-14)\/35. Round x to the nearest one thousand.\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + (-184)\/448. Let x = -157\/42 + -55\/14. Let r = x - -8. Which is the closest to -1? (a) r (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/7 + 376*a**2\/7 - 3621*a\/7 - 14274\/7.\nAnswer: -(a - 366)*(a - 13)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/24*90\/(-84))\/(20\/12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g. Let h be (g\/(1 - -1))\/3. Suppose h = 5*k - 2*v - 66, -7*k + 58 = -3*k + v. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/14)\/((11\/11)\/(252\/(-9))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 2, 6 in descending order.\nAnswer: 6, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 4*f + 6. Let i(y) = -15*y - 302. Let c(g) = 6*g + 101. Let n(v) = 8*c(v) + 3*i(v). Let j be n(31). Sort -2, j, 11, f in decreasing order.\nAnswer: 11, f, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 5*c - 26, 0 = -7*c + 2*c + 25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/27)*i**(2\/7))\/(i**(-1\/4))**(-2\/35) assuming i is positive.\nAnswer: i**(2263\/1890)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1720\/161 - 180\/23. Let v be (-10)\/6*(-69)\/2. Let u = -249\/4 + v. What is the common denominator of u and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of -w**3\/3 - 2*w + 83. Let u(z) = 9*z + 12. Determine u(k(n)).\nAnswer: -18*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27982 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -36*c**3 - 436*c**2 - 4040*c - 3730. Let i(r) = 11*r**3 + 141*r**2 + 1347*r + 1244. Let j(s) = 3*d(s) + 10*i(s). Find u such that j(u) = 0.\nAnswer: -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -719, 3204, -5 in increasing order.\nAnswer: -719, -14, -5, 3204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92 + 94. What is the second derivative of 2*p**3 + 13*p + 3*p**3 - 3*p**b - 10 - 12*p + 2*p**2 wrt p?\nAnswer: 30*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5323.88 * -66\nAnswer: 351376.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -1957383*i. Let w(y) = y**2. Determine w(b(m)).\nAnswer: 3831348208689*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = a - 35. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1097*b - 26312. What is o(-24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 786053335 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 12 + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316359 and 7290.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5897, 20763, 45513, 80141, 124641, 179007?\n\"Answer: -r**3 + 4948*r**2 + 29*r + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6109793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -96, -3.\nAnswer: -96, -3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -18, -30, -46, -66, -90?\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(275)*-4*3 + sqrt(275) + sqrt(275) + (sqrt(275) - -2*sqrt(275)*-3 - sqrt(275)))*2)**2.\nAnswer: -2560*sqrt(11) + 281664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -502 + -9334.896?\nAnswer: -9836.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 139*c**2 + 6*c**2.\nAnswer: -132*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chfh when four letters picked without replacement from {c: 1, h: 2, f: 1, g: 2}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -6, 6, 44, 120, 246, 434?\n\"Answer: 2*h**3 - 5*h**2 - h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, m: 1, v: 4, a: 1, c: 2, y: 4}. Give prob of sequence ya.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -122079 divided by -2\nAnswer: 122079\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 + 2 - 5)*(-2 + 5 + 0) - 1 - 4 - 3)*(-b - 5*b - b) to k + l*b and give l.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1285907\/81 + -15875. Let y be (1 - 31154\/(-18))*(-4)\/144. Let i = y - d. Find the common denominator of 37 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/395 or -1?\nAnswer: 17\/395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 10:17 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/6556 and 53\/3970254.\nAnswer: 87345588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2995896 days to hours.\nAnswer: 7.1901504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 10*y**2 + 11*y + 4. Let j be f(-11). Suppose -j*v + 68 = -0*v. What is the first derivative of 29*u**3 - 17*u**3 + 16 - v*u**3 wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*a + 8133 = 8259 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c**2 + c + 2. Let i be x(0). Is (i + -1)\/(2\/218) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/8 + 3\/(-12). Suppose 3*h - 11 = t, -t = 3*h + q - 2. Suppose 3*d = 4*i - 69, 68 = 5*i - h*i + d. Round i to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4659861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 27, 8, -31, -96, -193, -328?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/2849 in -5, -3, 3, -4.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008772 to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.04888 or -5.11?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2459341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -256 + 255. Suppose -4 = -3*f + 2. Let l be 18\/2*f\/42. Which is the closest to u? (a) l (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - 14*y**4)*(-7 + 1 + 37).\nAnswer: -434*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12818\/47 at least as big as 274?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406 - 567 - 1509)*(0*m + m + m).\nAnswer: -3340*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.3*-13216.\nAnswer: -109692.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w + 10*w. Suppose w*q = -4*q + 36. What is the least common multiple of q and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5\/3 - 36*n**4 + 104*n**3 - 308*n**2\/3 + 34*n = 0.\nAnswer: 0, 1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 688494, 1376981, 2065468?\nAnswer: 2753955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/5))\/(m\/(m*m\/(m\/(((m*m*m*m\/(m**2\/m)*m)\/m)\/m))*m)*m))**(-44))**(-44) assuming m is positive.\nAnswer: m**(30976\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 471095.\nAnswer: 5, 94219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v - 127. Let f be q(33). Factor -16*z**2 - 49*z + 90 + 14*z + f*z**2 + 6*z**2.\nAnswer: -5*(z - 2)*(z + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*a = -5558 - 3742 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 2}. Give prob of picking 2 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282012 and 10934.\nAnswer: 21714924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*u - 73*u + 52 = h, -20*u - 336 = -4*h. Let p = -4 - -6. Sort 0, -16, h, p.\nAnswer: -16, 0, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.6 and 0.0392541298.\nAnswer: 1.6392541298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1353 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -785\/14?\nAnswer: -785\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 = -7*v + 935. Calculate the remainder when v is divided by 99.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*55\/44*432\/(-120)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, s: 2, q: 2, p: 6, c: 1}. What is prob of sequence eq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/42)\/(-10))\/((-5)\/(-30))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0. Let s be (1 + 0 - h)*-1. Let x = 0 - s. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -203213 (base 4) to base 10\nAnswer: -2279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(22)*-1)\/sqrt(2) + 3 + (-2*sqrt(11) - sqrt(11)) + sqrt(11)).\nAnswer: -6 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + 6*(4*(sqrt(192) - (-2*sqrt(192) - sqrt(192) - sqrt(192))) + (sqrt(192) - (sqrt(192) + -3*(sqrt(192)*-2 - sqrt(192))))) + 3)**2.\nAnswer: -2112*sqrt(3) + 836356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 410490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308680769?\nAnswer: 23, 107, 125429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10349, 10362, 10391, 10442, 10521, 10634?\n\"Answer: t**3 + 2*t**2 + 10346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-234))\/((-3)\/(-9))*728\/(-7644)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 4*u**2 - 3*u + 3. Let h be f(-5). Let q(i) = i + 8. Let m be q(h). Let x = m - -34. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 101\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let w(d) = 8*d + 7. Let l(n) = -6*s(n) + w(n). Let p be l(1). Suppose p*c = 1 + 2. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -3*h + 4. Suppose -h = -5*x - 4*p, -2*p - 15 = -3*x - 0*x. Suppose -z = -x + 1. Which is the smallest value? (a) 0.2 (b) -2\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*f - 4*c, 5*f + 22 = 4*c + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 9, 0 = -h - g + 5. What is the first derivative of 4*z + h*z - z - 2*z + 4 wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*((sqrt(78) + sqrt(78)*1)*5)\/sqrt(6).\nAnswer: 50*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 33*l**3 - 11*l**2 - 27*l + 11. Let a(n) = -17*n**3 + 6*n**2 + 14*n - 6. Let h(c) = 11*a(c) + 6*y(c). What is the second derivative of h(o) wrt o?\nAnswer: 66*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.241 - -5.541. What is the nearest to g in 0.09, 4, 11, -0.2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36292?\nAnswer: 2, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1101012 (base 3) to base 2\nAnswer: -1111101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5418\/(-3096))\/(189\/36)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201436\/7 - -28678. Let r = -98 - u. Which is the biggest value? (a) -0.2 (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.47 + 8.17. Let o = -1 + 1. Which is the nearest to o? (a) 1\/7 (b) -0.5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124872823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*u**3 + 187*u**2 - 187*u**2 - 5*u**3 + 5*u**3 - 2*u**3 + (-1 + 2 + 1)*(-2*u**3 + 3*u**2 - 3*u**2) + 24 + 3*u**3 - 24.\nAnswer: -17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56258752)\/(-18480))\/314 + (-1)\/(45\/12).\nAnswer: 66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:04 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 - 2*n + 3. Let f be m(0). Is -2 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4 + 0 + 0 + 1 - 3 + (-1 + 5 - 3)*(4 - 4 + 2))*(33*p**3 - 33*p**3 - 15*p**4) to j*p + a*p**3 + w*p**4 + f + s*p**2 and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -46460*h. Let m(b) = -b**2. Give j(m(v)).\nAnswer: 46460*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 10*v**5\/9 - 3482*v**4\/9 + 4126*v**3\/9 + 13234*v**2\/9 - 16664*v\/9 + 2776\/9 = 0?\nAnswer: -2, 1\/5, 1, 2, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 0 (c) -2558\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951998.\nAnswer: 2, 3, 325333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152692842 to the nearest integer?\nAnswer: 12357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 44*r - 434. Let y(m) = -m - 31. What is 4*n(i) - 56*y(i)?\nAnswer: 232*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -9*w**2 + 7*w - 33. Let l be t(4). Let p = 54 - l. Calculate the greatest common factor of p and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47305070*c**6 + 95*c**2 - 403651 wrt c?\nAnswer: -5676608400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - p + 1 - 11, s = -5*p - 23 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2329, -2476, -2625, -2776, -2929, -3084, -3241?\n\"Answer: -k**2 - 144*k - 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 23 = 52. Suppose -4*m + 9*m = s. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + 0*n**2 + 0*n**2)*((-n + 1 + 1 - 4)*(3 - 3 - 4) - 15 + 12*n + 15) to g*n**2 + p*n**3 + z*n + k*n**4 + l and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 26\/773 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/227902 and -37\/26812?\nAnswer: 455804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*k + 16*k - 56*k + 16*k + 8920*k**2 - 6242*k**2.\nAnswer: 2678*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -103*b**2*n**3 - b**2*n**2 - b**2*n + 28*b + 552*n**5 + 11*n**2 wrt n?\nAnswer: -618*b**2 + 33120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 842120 and 10863348.\nAnswer: 108633480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/9, 121, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2296 and 3304.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*(2 + -1*sqrt(5) + sqrt(5) - ((-1 + sqrt(405))**2 - sqrt(5))).\nAnswer: -1212 + 57*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9081958 or -9081937?\nAnswer: -9081958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -41*c**3 + 2*c + 1. Let q be t(-1). What is the smallest common multiple of 16\/q*(-30)\/(-2) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - k - 1. Let r = 1 + -2. Let b be z(r). Let d = b + 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 24*b**2. Let w = -5233 + 5223. Let m(o) = -14*o**2 - 6*o. Let r(z) = -29*z**2 - 13*z. Let t(a) = 13*m(a) - 6*r(a). Calculate w*t(h) - 3*x(h).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (24 - 14) - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-147)\/(-14) - (-1)\/2. What is the highest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {z: 2, k: 3, u: 1, h: 3, x: 3, d: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*d - 274*d + 27 = -5*k, -3*k = -5*d + 24 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19517*f**2 - 8*f + 2. What are the prime factors of k(-1)?\nAnswer: 3, 23, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 2839551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-9)*(-8)\/(-464)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 + d**3 + 2*d**3 - 28.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3624818\/802935 - 4\/22941. Let f = -1\/969 + -23251\/4845. Let d = f + z. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 6*s**2 + 6*s. Let r be d(5). Suppose 5*v + y - 3*y - 3 = 0, -2*y - 8 = 0. Put r, v, 2 in decreasing order.\nAnswer: r, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*n - 12, -n = 2*z - 3*z - 6. Let s = n + -4. What is the second derivative of -4*w - w**2 + s*w + 0*w + 3*w**2 wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.40068631 rounded to one decimal place?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -5*p**8\/1008 + p**7\/126 + 13*p**6\/72 - p**5\/36 - 5*p**4\/6 - p**2 - 4. Let q(r) = 0. What is r?\nAnswer: -3, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 342*r - 340*r = -3*h - 4, 5*h + 9 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 4*p + 14. Let x be g(6). Suppose 5*r - x*r = 5*r. Solve r = 2*m - 4*m + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178535294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by -3.\nAnswer: -101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23562 + 23648. Calculate the remainder when 599 is divided by w.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 28) + 87 + -74?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219 or 1970\/9?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -0.67. Let t = u - 0.09. Round t to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0, 0.5, 1\/3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjkktt. What is prob of sequence jt?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230407\/9 + 25553. Let w = 48 + n. Which is the closest to w? (a) 0 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9949, 21018, 32085, 43150, 54213, 65274?\nAnswer: 76333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (197 - 218) + (-4 - 0)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4\/3 - 8*c**3 - 16*c**2\/3 + 32*c + 128\/3 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8884.\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 3428656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15*(24\/(-10) - -2). Let a(o) = -o**2 - 7*o - 4. Let r be a(q). Let z(h) = h**r + 0*h**2 + h**2. Let m(v) = -2*v. Determine m(z(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370.76 litres in millilitres?\nAnswer: 5370760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/15 - 21933274*w**2\/15 + 12026706128992*w\/3 + 12026719288960 = 0.\nAnswer: -3, 5483320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -1\/2*q**6 - 1\/2*q**2 + q**4 - 2*q - 4\/5*q**5 - 1 + 2*q**3. Let u(w) = 0. What is w?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - y + 641. Let b be u(0). Suppose 4*z = -153 + b. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i*r**3 - 155476298*i*r**2 - 222*i*r + r - 4415 wrt r?\nAnswer: 12*i*r - 310952596*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/24 + -1 + 21625\/(-124560) + 3\/48?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fsrq when four letters picked without replacement from rsqzzrfyrssrssrzz?\nAnswer: 5\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (1282\/18 - (-8)\/(-36)). What is the units digit of 1 - (-3 - -2)*z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q + 4. Let n be w(0). Find the third derivative of -r**4 + n*r**4 - 19*r**2 + 16*r**2 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*x - 914 = 0, -20*x = v - 16*x - 447. Solve v*l = 459*l - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:23 PM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*-1 - sqrt(136))*-5*3)\/(sqrt(16)\/((-1*sqrt(2) - sqrt(2))*-6)).\nAnswer: 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b = -32. Let r be (-147)\/(-12) + (-1)\/4. Let g = r - b. Solve -8 - 8 = -g*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/5 - 4\/5. Let b = -129.5 + 129. What is the second smallest value in o, b, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 3*c**2 + 3*c - 1. Let v be 4\/(-6)*18\/3. Suppose -9*o - 32 - 22 = 0. Let z(h) = -h**3 - 2*h**2 - 2*h + 1. Determine o*z(r) + v*u(r).\nAnswer: -2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*r + 1560 = -r, 0 = -2*v + 2*r + 1040. Suppose 0 = -12*x + 7*x + v. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3828787 is divided by 4416.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 25*m - 11. Let h(i) = 53 - 21 - 30 - 5*i. Calculate 11*h(b) + 2*l(b).\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 2, s: 2}. What is prob of picking 1 n, 2 s, and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43a - 2c6?\nAnswer: -711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18069.\nAnswer: 3, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 = -4*t + 15, -2*t + 4 = -s. Let f be 2\/(-6) + s\/6. Determine n so that 2*n**2 - 2 - 2 - n + f*n + 3*n = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10426173 is divided by 5213085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -4, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1448*u**2 + 2906*u**2 - 53*u**4 + 4*u**3 - 1458*u**2 + 243*u**4 in the form q*u**4 + w*u**2 + z*u**3 + y*u + h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*z - 83*z - 216 = -179*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 22*m**3 - 29*m**3 + 72*m**3 - m.\nAnswer: 21*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64\/15 + -13\/5. Let t = -69 - -51.5. Let s = -19 - t. Which is the smallest value? (a) s (b) x (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12 + 39*s - 6*s**2 - 11*s - 14*s.\nAnswer: -2*(s - 3)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**3 - 37*x**2 + 11*x + 14. Let n be i(12). Let a(j) = 4*j**2 + j**n - 9*j**2 + 2*j**2 - j**2. Let q(d) = 2 - 2 + 13*d. What is q(a(z))?\nAnswer: -39*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**4\/3 + 16*l**3 + 322*l**2\/3 + 276*l + 240 = 0.\nAnswer: -15, -4, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*f + 38*f**2 + 24*f**3 + 31*f wrt f.\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 7:56 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-7))\/((-18)\/378). Let g be ((-188)\/u)\/(6\/(-9)). Suppose -3*i + 2 = g. Is -15 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, m: 10}. What is prob of picking 3 m and 1 f?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, u: 4, j: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -17*f + 7. Let l(q) = -6*q - 34. Let k be l(-7). Let g(o) = 25*o - 11. Let c(r) = k*j(r) + 5*g(r). What is the units digit of c(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**4\/8 - 2*a**2 - 4*a - 165. Let r(i) = 3881*i**2. Determine s(r(c)).\nAnswer: 11643*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzdddddddhdddjidddd. Give prob of picking 1 z and 1 h.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9 + (-8832)\/414 - -85.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/35 - (-2386)\/(-14). Let k = t - -170. What is the nearest to -1 in -3, 0.1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0. Suppose q = -x*q. Suppose 3*b - 15 + 6 = q. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -968 in 0.5, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + (-994)\/84 - (-1514)\/(-12). Which is bigger: -115 or n?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtqq when four letters picked without replacement from ytqtmqqyyyyyyym.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11232 - -11260. Solve -5*f - 46 = -j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18702 + -8490. Is f a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h + 528. Let w(d) = -13*d**2. What is w(x(g))?\nAnswer: -117*g**2 - 41184*g - 3624192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttfttttfffc. Give prob of picking 3 f.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6704176 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: Round 0.000128578741 to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of n**4\/4 - 49*n + 21. Let m(u) be the first derivative of l(u). Let f(h) = -9*h. What is m(f(p))?\nAnswer: 243*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -67. Let b(n) = -n + 2. Let q(a) = a**2 + a + 1. Give k*b(l) - 2*q(l).\nAnswer: -2*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1174?\nAnswer: 7044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4340\/80)\/(3\/48*4). Suppose -26*b = 5*b - i. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 1712*k**6 - 4286*k**2 - 4159. Find the second derivative of q(h) wrt h.\nAnswer: 205440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 13. Let u(q) = -4*q + 40. Let x be u(y). Is 38*6\/x*(-58)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57*4695\nAnswer: -267615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 + 15 + 127391\/33 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**22)**(-8))**37 assuming u is positive.\nAnswer: u**6216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n - 3*a, 0 = -3*n + 5*a - 3 + 1. Suppose 4*y - p = n, 0*y = y + 4*p + 4. What is the third derivative of 6*u**3 - 5*u**3 + y*u**3 + u**2 wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8*r - 66. Calculate l(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 5)\/(6\/(-4)). Suppose k = 3*d - 14. Suppose 183 = r - 3*n, r + n - d*n - 187 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-35)*(93 - (-82 + 217)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-70))\/(71\/(-426)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978, -1953, -2920, -3879, -4830, -5773, -6708?\nAnswer: -7635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 4 = 10. Suppose -2 + 22 = 4*m. Let i(u) = -u**2 + 7*u + 1. Let w be i(5). Solve -l + 4*a = a - s, -w = 3*l + m*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 1. Let c(b) = -4 - 5*b**3 - b + 1228646*b**2 - 1228646*b**2. Determine -c(w) - 2*v(w).\nAnswer: 5*w**3 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 16 = 5*b. Let w(x) = 2*x**2 - x - 3. Determine w(b).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y, -4*o - 4*y = -10 - 54. Suppose -4*d = -8*d + o. Solve -g = 3*f + 16, 5*f - 2*g = -d*g - 26 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.44 + -41694067.\nAnswer: -41694064.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*g + 237999994 = 0, 3*y - 42408652 = 5*g + 136091333. Round y to the nearest 1000000.\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 8*q**2 + 2*q - 2. Let u(y) = -y**3 + 9*y**2 + y - 1. Calculate 2*t(p) - 3*u(p).\nAnswer: p**3 - 11*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 128, 287, 510, 797?\n\"Answer: 32*u**2 - u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*y + j - 2281, 3*j = 4*y - 4781. Solve 0 = -1203*b + y*b + 49 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -273*s + 20. Let y be q(-2). Suppose 2*m - 1988 = -u, m + u - 1561 + y = 0. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2. Suppose -b = -5*s - 13, b = -2*b - s + 23. Let v(w) = -w + 10. Let o be v(b). Let n(p) = -7*p**o + p**2 + p**2 + 0*p**2. Calculate n(m(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -9*q - 26. Let f be w(-4). Let l = f + -1. Calculate the least common multiple of l and -1 + 5 - (1 - 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -644.2679.\nAnswer: -644.2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -5, -18, -37, -62, -93, -130?\n\"Answer: -3*b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 13 + 9)*(-5*s + 3*s + 3*s)*(-s**3 + 0*s + 0*s).\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*i - 16, i - 6*i + 29 = -2*d. Let u be 1 - 1*(-4 - d). Let y be 1\/5 + u\/(-15). Solve y*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 97907.38, 4, 2 in descending order.\nAnswer: 97907.38, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/(-5) + 77\/(-55))*5\/(-5). What is the highest common divisor of 8407 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/80 and -79\/100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/2, 273, -2, -1\/13 in descending order.\nAnswer: 273, -1\/13, -3\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2297 at least -2296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -385828, -385768, -385696, -385612?\nAnswer: -385516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -9. Suppose 2*x + 6*j - 4 = 10*j, 0 = -3*x - a*j - 27. Let p = 4 - 6. Sort p, 4, x in increasing order.\nAnswer: x, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1020.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 1. Let k be s(1). Suppose k = -r - 4*r + 190. Is r\/(((-12)\/33)\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(1 + (-108)\/105). Let y = -11 - d. Suppose -5*z = -y - 6. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let l(y) = -y**2 - 3*y - 4. Let f(u) = 2*k(u) + l(u). Let h be f(6). Let t = h + 6. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -780*k**2*l**3 + 4*k*l**3 - 14*k wrt k.\nAnswer: -1560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2892*g**2 - 2894*g**2 + 2*g - 47*g**3 - 4*g - 3 as q*g**3 + x*g + r + l*g**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 2.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 + c**3 + c**3)*(-9 + 4*c + 16 - 6).\nAnswer: -4*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-541 - -562) + 2 + -13.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*z - 20, 0 = -4*z - q + 1 - 18. Which is the third biggest value? (a) 5 (b) z (c) 4 (d) 1.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uunn when four letters picked without replacement from uunnnnnnununnnnnun.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.51\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 570 and 80310150.\nAnswer: 80310150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, q: 2, w: 5, l: 3, z: 2}. Give prob of sequence qw.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465347703*g + 244*g**3 - 465347703*g.\nAnswer: 244*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22841543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 12*h**2 + 3. Let y be -4*(4 - (4455\/(-12))\/(-9)). Let v = -161 + y. Calculate k(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b. Let y(q) = -183*q + 365*q - 180*q. What is d(y(f))?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2. Let p be 0*(-1)\/2 - -5. Suppose -4*f + p*f = 0. What is i(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2276537, 4, 5 in decreasing order.\nAnswer: 2276537, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:46 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 2134 = 13*z. Suppose z*h = 89*h + 11280. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 a when four letters picked without replacement from acqaqaaacq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12339*f + 2640550. Determine n(214).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c**3 + c**2 + 5*c + 11. Is d(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169\/8 < -81\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 8. Suppose r*s + g - 4*g = 44, g + 2 = 0. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-4))\/(3\/6))\/((-21)\/(-21))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*c + 12966 = -11616, 0 = 2*v - c - 49199. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2086\/(-7301))\/((-16)\/14).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125543 and 86476301.\nAnswer: 11413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -1 (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5*l + 10 = 0, -2*r = -5*r + 3*l + 18. Let t = 10 + -5. Let d(j) = t*j + r - 5. Let a(x) = x. Calculate a(d(y)).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454345?\nAnswer: 5, 290869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 41. Let p(y) = 16*y**3 - 2*y**3 - s - 2*y + 3*y**2 - 6*y**3 - 9*y**3. Suppose -5*n + 12 = -n. Determine p(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.32 - -0.18. Which is the nearest to 0.1? (a) -1 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106753\/6 - -17875. Let v = x + -4069\/48. Calculate the common denominator of 295\/200 + (-2)\/3 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 9:31 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {c: 2, f: 4, p: 3, t: 3, i: 1, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-6)\/15 - (-7)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:27 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(171)\/(sqrt(99)\/(sqrt(44)\/sqrt(4))) + 5*(-1 + sqrt(171)) + 6*-1*sqrt(171).\nAnswer: -9*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/42 - 326\/(-12). Suppose 0 = 8*o - m - 197. Is 28 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven halves of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggpgggggggppg. What is prob of picking 3 g?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + 6*s + (-5 + 1 + 3)*(-2*s + 0*s + 6*s) + (-1 + 1 + s)*(-3 + 0 - 22))*(11*s**3 - 9*s**3 - 15*s**2 + 13*s**2).\nAnswer: -56*s**4 + 56*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2\/63 (c) -2974 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 989216.1 centuries to years.\nAnswer: 98921610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11\/2)*x**(-4\/11))**33 assuming x is positive.\nAnswer: x**(-387\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 5*k + 1\/2*k**2 + 3 + 1\/3*k**3. What is h(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3383635 (base 9) in base 8?\nAnswer: -6757547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let t(h) = 35*h**2 - 71*h**2 + 31*h**2. What is d(t(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 6*z - 3. Suppose -4*n = -n - 21. Let x be s(n). Let g(a) = -x - 1 - a + 6. Determine g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -999*b**4 + 540 + 656*b - 178*b**4 - 539 wrt b.\nAnswer: -14124*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -5\/446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170825 and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3693600 divided by -102600?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-5\/7)\/(m\/(m*m**(-2\/3)))**(-30) assuming m is positive.\nAnswer: m**(135\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21669 minus -257687.78115?\nAnswer: 236018.78115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1. Let g(u) be the first derivative of 3*u**2\/2 - 6*u + 51. Calculate 2*g(h) + 14*i(h).\nAnswer: 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**3 - 7. Let d(q) = 3*q. Let o(m) = -8*m. Let c(f) = -11*d(f) - 4*o(f). Determine t(c(h)).\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10324 = -10*f - 9184. What is the highest common factor of 1140 and f?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1283\/339 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.9152878um?\nAnswer: 0.0009152878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 14 + 1. Let o = 9 + l. Let f be (60\/16)\/(118\/240 - 212\/(-1590)). Solve -5*z - f = o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 7*l**6\/120 + 17*l**4\/24 + 26*l**2. Find the second derivative of f(b) wrt b.\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-16) - 2)*(-7)\/(-21)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5216, 5214, 5212?\n\"Answer: -2*b + 5218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 42276 and 0.1.\nAnswer: 42276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1612*d**2. Let g(t) = 27*t**2 + 2*t. Give g(h(p)).\nAnswer: 70160688*p**4 + 3224*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + u = 15 - 6, -5*u + 25 = -5*z. Let p = z + -1. What is the biggest value in -0.5, -7\/4, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -283 + 4243\/15. What is the closest to -1 in -4\/5, q, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/2285077?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 500 and -413862.\nAnswer: -413362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12738838, 12738836, 12738834?\n\"Answer: -2*p + 12738840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -435, -405, -361, -297, -207, -85, 75?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 267877615, 267877610, 267877605, 267877600, 267877595?\n\"Answer: -5*y + 267877620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -282 by -999.\nAnswer: 94\/333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21331671.\nAnswer: 3, 1249, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -7. Suppose k = 2*j + 4*l - 3*l + 8, -20 = 5*j + 5*l. What is the remainder when 10 is divided by 12*(6\/j)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79224723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d18edd (base 15) to base 8.\nAnswer: -45757132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 236366 to the nearest 100.\nAnswer: 236400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.82\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 5. Suppose -3*d + 109 - 91 = 0. Give l(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620859 at most 3620859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10763205 divided by 24743.\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 133 - 131. Let y = -0.02 - 2.48. Let h = -2 - y. What is the closest to u in -0.2, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6111 (base 7) in base 11?\nAnswer: 1653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/4 + -1)\/((-4552)\/80 - -57). Solve -u + i*u + 168 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1672760312 and 0.06.\nAnswer: 1672760312.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133.5 - 133. Suppose -p + 1 = 3. What is the third smallest value in p, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84 + 17.3727.\nAnswer: -66.6273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*d - 29, 3*d - f - 1 = 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbuhuhrhrhrbhbbhu. Give prob of picking 3 h.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 29756150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 93008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -79941 (base 13) to base 16\nAnswer: -3605a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -7*u**3 - 5*u**2 + 86. Let l(z) = -4*z**3 - 3*z**2 + 43. Determine 3*h(s) - 5*l(s).\nAnswer: -s**3 + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 + (-162 - -92) + -3 + -157?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -26*1\/(-34). Suppose -k + 5*a + 160 = 145, -a - 3 = -k. Do d and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -459, -1308, -2711, -4662, -7155, -10184, -13743?\n\"Answer: c**3 - 283*c**2 - 7*c - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 10*v - 21. Let a be h(-15). Let o = a - -148. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34999 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 first derivative of -32292803*u**3 + 278458298 wrt u?\nAnswer: -96878409*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 h when three letters picked without replacement from {v: 3, b: 1, h: 4}.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -3708, -12517, -29662, -57921, -100072, -158893?\nAnswer: -237162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34)\/15)\/((416\/390)\/(-8))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -397628492*t**2 + 130197*t + 763 wrt t.\nAnswer: -795256984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Let s = m - 26. Calculate the remainder when 55 is divided by (-8)\/s + 93\/5.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 37944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -5*y - 3*h, -3*y + 2*h + 10 = -15. Suppose -1205 = -y*p + 467. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 3*l - 5*d + 184, -2*l = 3*d - 92. What is the remainder when l is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/17 bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 + 62. Solve -39 + m = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -8 (c) 6\/167 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4741828 and 12740?\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/(2\/(-3)). Let f be o*(-2 + -1)*(1 - 0). Factor -1\/3 - 2\/3*l**f + 2*l**2 - 5\/3*l**4 - 1\/3*l + l**5.\nAnswer: (l - 1)**3*(l + 1)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -7) + 2 - 3) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/1 - (-778 + 813).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 77 - 77.128. Let l = 0.128 + w. What is the closest to l in -0.3, 5, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/9 + 0)\/(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 + 120*z.\nAnswer: -5*z*(z - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 - 1. Determine z(-3).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**3 - 5*i**3 - 3*i**3 + (5*i**3 - 4*i**3 + 0*i**3)*(-1 - 4 + 4))*(-6 + 9*i + 3 + 2).\nAnswer: -126*i**4 + 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2292 and 3056.\nAnswer: 9168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*m - 82, -264*h - 4*m = -266*h + 28. What is the greatest common divisor of h and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4806\/(-3200))\/9 - 12519\/(-104325)?\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1847 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*u - 24 = -j, -5*j - u = -60. Is (j\/(-16))\/(8\/(-1184)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + 21 + -57 - 24 - 6?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2520\/43 or -59?\nAnswer: -2520\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -18*d**2 - 14*d + 64. Determine x(3).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6440 and 575?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/3 - 22*l**2\/3 - 68*l\/3 - 16 = 0.\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 13 - 6)*(-m + 2*m - 2*m) + 2*m - 7*m - 3*m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*b - 2 + 6*b - 129*b + 0 + 28*b.\nAnswer: -71*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.1. Let z = 0.2 - 20.2. Let n = -16 - z. Which is the closest to t? (a) n (b) -0.4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hrsas. Give prob of sequence ssh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -7)\/(3\/2). Let j be s\/(-10) - 1210\/(-50). Suppose -j = -i - 7. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43*11.02\nAnswer: -473.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903639 a multiple of 309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.4186mg in grams?\nAnswer: 0.8044186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 57*a**2 - 402*a + 92. Determine h(7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let u(h) = -1 + 4 + h + 8 - 13. Calculate -4*g(x) + 2*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + 8*y**2 + 5*y - 7. Let v be b(6). Suppose 6*c - 4*g = c + v, -c + 5 = 2*g. Find w such that c*w**2 + 9*w**2 - 5*w - 10*w**3 - 3*w = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 157479.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let s = -144364\/1516263 - 2\/72203. What is the closest to v in -2.5, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92\/13, 0.2, -177, 0.047.\nAnswer: -177, -92\/13, 0.047, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222021 + -22220020?\nAnswer: -21220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 3)*(2*p - p + 7*p) to the form n*p + w and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:38 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 43 - 20)*(-3 + 3 + 12*o)*(2 + o**4 - 2) + 3*o**5 - 4*o + 6*o - o**5.\nAnswer: 302*o**5 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 23*k**2 + 18*k - 13*k**2 + 10 + k**3 + 2*k**2. Give h(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 + 4 - (-6 + 4)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/3743905 or -1?\nAnswer: -2\/3743905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 49*o**2 - 36*o + 121. Does 22 divide h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 8. Suppose o = -2, -31 = -5*a - 4*o + 16. Let n be y(a). Let p = 54 - n. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4536*c + 149845. Determine y(-33).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8697 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 356 = 2*w + 232. Let u = 122 - w. Calculate the greatest common divisor of 10 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2 - 120*d - 118 = 0. What is d?\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 46 - 54, 3*f - 1882 = -5*d. Is 39 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(24\/4))\/(3*64\/(-48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/12 in 0, 0.198, 0.5, -1\/2, 3\/11, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 63\/4 + 2\/8. Suppose -2*u = -3*u + j. Suppose 0 = 97*i - 90*i - 651. Calculate the remainder when i is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62186\/49 + -1269. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-4)*(-84)\/98. Solve 5*z - 8 = -w - w, 0 = -4*z - o*w + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -29*n**2 + 0 + 1\/36*n**4 + 0*n + 0*n**3 + 1\/900*n**6 - 1\/75*n**5. Solve p(q) = 0 for q.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 5*z = -22, 5*p + 4*z - z + 36 = 0. What is the remainder when 33 is divided by (0 - p)*(6\/2)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:01 PM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 6*k**2 + 6*k - 1. Suppose -4*g - 4*d = -36, -2*g - 4*d + 23 = -d. Let z be r(g). Let t = z + -13. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2974*v + 20844. Give j(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -442 - -396 - (-2 + -114).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 3*n - 4257, 380*d + n = 379*d + 1415. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-9)\/c))\/c**5*((c*c**(2\/11)\/c)\/c)\/(c*c**(7\/2)) assuming c is positive.\nAnswer: c**(15\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13322 - -19756. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 4:24 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 62*a + 1 = 64*a, 2*s + 6 = -3*a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 1380001*q**2 - 1. Let c(d) = d + 10. Let f be c(-9). Let y be j(f). Round y to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 187\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2. Let m(f) = 1802*f + 5565. Let p(v) = v - 21. Let d(b) = -m(b) - 265*p(b). What is d(u(j))?\nAnswer: -2067*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -5 + -5*(-2*sqrt(2736)*2 - (-4 + (sqrt(2736) + -1 - sqrt(2736)) + sqrt(2736))))*1)**2.\nAnswer: -17400*sqrt(19) + 1710841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4482, -17902, -40262, -71562, -111802, -160982, -219102?\nAnswer: -286162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 4 - (-87 + 75)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3495000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-10))**(1\/90)\/((h\/h**(-11\/3))\/h*h)**(26\/3) assuming h is positive.\nAnswer: h**(-365\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 80. Let y(r) = -r**3 - 13*r**2 + 2*r + 37. What is the remainder when g is divided by y(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose -3*z + h = -3, -3*h - 18 = -3*z - 7*h. Solve v - z*v - q = -2*i, 3*i - 3*v + 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-208*h**3 + 93*h - 93*h)*(0*h - 3*h + h).\nAnswer: -1664*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147984 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.512920931 to 1 decimal place.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 3780799?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - 1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584755 is divided by 2134?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v**2 + 15*v + 3. Let m = -2 - -4. Let p(y) = 3*y**2 + 7*y + 2. Let c(l) = m*g(l) - 5*p(l). Determine c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34539?\nAnswer: 3, 29, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 431865445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116715191 and 4652?\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**2 + 1. Let h be a(1). Suppose r + 16 = 3*c, -3*c - 12 = -h*c + r. Let y = 11 - 8. Solve -2 = -2*o + y*f, -f - 23 = 3*o - c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003742836649 rounded to 6 dps?\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6243997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1001 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - 8. Let d = 12.00045 + l. Round d to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434556 is divided by 6688.\nAnswer: 6524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*y - 4 = 0, -v - 5*y = -2*y + 8. Let c = v - 8. Let a(k) = 5*k**2 + 1. Give a(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 19*u + 42. Let z be r(-17). Suppose 4*v = -n + v + 11, -4*n = -v - 5. Solve -n*f - 3*b - 1 = 0, 2*b - 2 - z = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 26. What is the remainder when 9 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118.4 + 127.7. What is the nearest to -1\/3 in o, 0, 4\/5, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237480350*y**3 - 40179666*y - 3.\nAnswer: 1424882100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-14))\/(14\/49). Let h = 1 + o. Let y(b) = b + 3. Let l be y(0). Solve -h*x = -5*x + 4*v - 10, l*v + 5 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*l + 14. Let q = 156 + -152. Suppose 0 = -q*u - 5*y + 22, -6*u = -u - 5*y - 5. Solve 4*h - l*k = 0, 4 = -u*h - 0*h - k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0.8606 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2906 + 2908. Sort 12, -0.3, -1, r in decreasing order.\nAnswer: 12, r, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, x: 7}. Give prob of picking 2 x and 2 u.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -8, 53 in descending order.\nAnswer: 53, 1\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 0 - 14 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32331 + 0?\nAnswer: 32331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 14*k - 21. Let i be z(-12). Suppose 0 = i*o + 6, 7*a - 4*a + 4 = -5*o. What is the least common multiple of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -411144, -1644597, -3700354, -6578415, -10278780, -14801449, -20146422?\n\"Answer: -411152*v**2 + 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) -673 (c) 0 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79267*n**3 - 14*n*r**2 - 4*r**2 - 194975*r + 5 wrt n.\nAnswer: 237801*n**2 - 14*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*g - 18710654 = -18718079 for g.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 0*t - 12*t - 4*t as x*t + w and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 777.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/350)\/((28\/42)\/(8\/18))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*n**3 - 3*n**3 + n**3)*(1946 + 1757 + 3037 + 3248 - 2343) to g + t*n + w*n**2 + d*n**3 and give d.\nAnswer: -45870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3\/16, 1, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/2, 52\/7, -0.2?\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9110 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 6519 (b) 13\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -61*m**2 - 9576*m + 233. Give y(-157).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 681\/4 + -171. Let m = 43\/8 - 21\/4. Which is the second smallest value? (a) 0 (b) m (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4446 + b**2 + 4446.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1369984 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2. Let l(r) = 3*r**2. Let x be ((-24)\/36)\/((-2)\/9). Calculate x*l(a) - 4*w(a).\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 6)*278\/(-4). Let c = -296 + u. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 8*z + 2. Calculate j(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1397032 or -0.2?\nAnswer: -1397032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = 8*h. Suppose m - 180 = h*m. What is m rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -5, 7 in decreasing order.\nAnswer: 7, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 19*c**2 + 63*c + 44. What is the tens digit of g(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7))**(-26)\/((r\/(r*(r\/(r**(3\/4)*r)*r*r)\/r)*r)\/r**(-6\/7)) assuming r is positive.\nAnswer: r**(-253\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 2303422230?\nAnswer: 2303422230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g - 32. Let u = g - -2. What is the greatest common factor of u and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 60*a + 84. Let x be (1 - (0 - 11)) + (-20)\/5. What is the tens digit of t(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1 + (-27)\/(-24). Let n = -1693\/5 + 6757\/20. Which is the nearest to -2\/11? (a) q (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**3 + 17*u + 17. Let f = 34 - 51. Let k(s) = -s**3 - 6*s - 6. What is f*k(i) - 6*b(i)?\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 4234\nAnswer: 5\/4234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of x**4\/4 + 3*x**3 + 4*x**2 - 4*x - 2. Let z(b) = 26*b**2 - 49*b**2 + 22*b**2 - 2 + 5*b. Let r be z(6). Calculate y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 101*f + 335. Let k be l(-3). Solve -8*t = -0 - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15403 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 309 + -280 + 9 + (7 - 4) + -6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 482741, 965274, 1447807, 1930340?\n\"Answer: 482533*k + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7745 (b) 10 (c) 0.076\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*q**2 - 87*q**2 - 16*q**3 - 86*q**2.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -39*v + 3. Let t(r) = -2*r. Give j(t(f)).\nAnswer: 78*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 26. Suppose 0*k - 2*k = -4. Let o(a) = a**k - 3 - 5*a**2 - 55*a + 48*a + 3*a**2. Determine o(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*o - 27. Let n(u) = -u. Let i be n(2). What are the prime factors of o\/i + 2\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {v: 2, b: 1, r: 2, c: 1, m: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188091444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 556.\nAnswer: 221\/556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 4*y - 45 = 0, q + 0*q - y = 0. Let x(c) = 5*c + 2. Let m(p) = -4*p - 2. What is q*x(s) - 6*m(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*3\/(-6) - -3. Let y be 2 - (2 + (-2 - -2)). Suppose -a*k + 25 = y, 0*z - 4*k - 24 = -2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:13 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k**2 - 4*k + 5. Let r be v(3). Let h = r + 32. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76)*-4*1 + 2 + 1*sqrt(76)*1 + 5 + sqrt(76) + -4)**2.\nAnswer: 168*sqrt(19) + 14905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*g + 5 - 3 = 0, 3*z - 3*g = 12. Suppose 2*y - 2*r = 783 + 77, r = -z*y + 872. Suppose 0*c - 7*c = -y. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1165 + -1149. Calculate the greatest common divisor of b and 5296.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 2 (b) 5.4 (c) -37 (d) -2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = 65516*h - 65527*h for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629871 is divided by 1470?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8893, 1, -41 in increasing order.\nAnswer: -8893, -41, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-4)*(0 - 4). Let c = s + 17. Let z(j) = -j + 5. Determine z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 40*d - 1196. Let a be o(30). Let m(t) be the third derivative of 0*t - 21*t**2 + 0 + 7\/8*t**a + 14\/3*t**3. Find the first derivative of m(f) wrt f.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*c - 463 = 0, -417 = -4*m - 4*c + 219. Calculate the remainder when 1724 is divided by m.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 + w + 2. Let s be g(-2). What is the least common multiple of (4*-2)\/(-2) + s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 5. Let t(m) = -m**2 + 3*m + 32. Let a(r) = -h(r) - t(r). Give a(9).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 1\/5, 2\/3, -34, 0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3*(-8 + 4 - -4). Let r(f) = 15*f - 5*f + s*f + 15*f - 2*f. Let i(t) = t. What is i(r(z))?\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2268)*1)\/sqrt(4))**2.\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18680496 by -2.\nAnswer: -9340248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3\/7 - 156696*r**2\/7 - 6261744*r\/7 - 11896736\/7 = 0. What is r?\nAnswer: -39134, -38, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5904985 and 30.\nAnswer: 35429910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 650773 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*o + 8 - 0, -2*r = -2*o + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -571*z**2 + 268*z**2 + 3*z + 213 + 302*z**2 to u*z**2 + o + x*z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 6*p = 2268. Let f = -1780\/11 - p. What is the second biggest value in 0.06, f, -0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 1, k: 2, s: 1, t: 2, v: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 71167.0428 microseconds?\nAnswer: 0.000000117670375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 22*i**2 + 32*i + 68. What is x(-23)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from aiiffiiiaf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 = -5*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(3\/7)*p*p*p*p**(-3\/2))\/((p\/((p\/(((p*p**6*p)\/p)\/p*p))\/p))\/(p*((p*p**(-1\/7))\/p)\/p)) assuming p is positive.\nAnswer: p**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c + 8. Let k be v(-8). Find the second derivative of 2*i - 2*i**4 + k*i + 2*i wrt i.\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -3 + (-2 - 0). Suppose k*x - x + 4 = 0. Suppose -5*u + 0*u + 5*v = -100, -x*u = v - 75. Solve -3*r - 19 = -2*f, -r + 3*f - u + 1 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/6 + -3 + 18 + -20?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6478 + 6831. What is the remainder when a is divided by 113?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -2\/61, 2\/7, -6827, 5 in descending order.\nAnswer: 5, 2\/7, 0, -2\/61, -2, -6827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281, -207, -133, -59, 15?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4928074609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50781 is divided by 723.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osi when three letters picked without replacement from {x: 1, o: 1, s: 1, i: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 95?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence akak when four letters picked without replacement from {k: 5, a: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -284*k**2*o - 4745*k**2 + 2*o - 8251761 wrt k.\nAnswer: -568*k*o - 9490*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -40, -43, -40, -31, -16, 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010110 (base 2) in base 3?\nAnswer: 201210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -70881*b**2 + 8*b - 7. Let c be r(-7). Let v be -3 + 2 + -1 + 373234. Let l = c + v. Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -59.6. Let f = 13.18 + a. Let w = f - 1.5800073. Round w to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**2 + 56*a**2 + 14*a**2 + 17*a**2 - 121*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 2*x - 50, 13*x + 933956*b = 933957*b + 243 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 886756841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -25*d**2 + d + 24. Let m(z) = 25*z**2 - z - 18. Let f(t) = 3*i(t) + 4*m(t). What is f(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubbbububbbbb. What is prob of sequence bu?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d + 6. Let m be r(6). Let g = 2 - m. Suppose 3*h - g - 7 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1683 is divided by 110?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88247398 to the power of 1\/2, to the nearest integer?\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -326.31 - 4.69. Let u = d - -330.228. Round u to two dps.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17 + ((-310)\/10 - -17). Solve -y = -0*n - b*n - 7, -5*n = -5*y + 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 3*b - 2721*b**2 + 5475*b**2 - 2866*b**2 - 2*b**3 to i*b**3 + c*b**2 + u + z*b and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 4*g + g + 2*g - 6*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1069.3?\nAnswer: 320.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 10 = -5. Let j be 22\/(-88) + (-22)\/(-24). Let b = -0.01 + -1.99. Put j, b, s in descending order.\nAnswer: s, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + a**2 + (a + 2*a - a)*(4*a - 4*a + a) + 28 - 123204*a**2 + 61603*a**2 + 61597*a**2.\nAnswer: -a**2 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**11*z)\/(z\/((((z**(2\/5)*z)\/z)\/z)\/z)))**(-1\/5) assuming z is positive.\nAnswer: z**(-47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k - 3*w - 16, 4*k + 5*w - 16 = 0. Is 1\/k + (12715\/20 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3877941 - 1613.\nAnswer: -3879554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40432655*z**2 + 60356533 wrt z.\nAnswer: -80865310*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150.212942 - 7.4.\nAnswer: 142.812942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17548*p**2 - 35085*p**2 - 16*p**3 + 14*p**3 + 17537*p**2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n)\/((n\/(n*n\/(n*n*n*n\/(n**8\/n)*n)))\/n)*(n\/n**(-4))\/n**(1\/8) assuming n is positive.\nAnswer: n**(87\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28598 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 135 = 5*r. Let l be 22\/(-165) + (-34)\/r. Let z(w) = 12*w**2. Give z(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*z**5 - 3*z**3 + 380*z**2.\nAnswer: -1920*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7171 - 7171.1. What is the third smallest value in b, 2\/5, 4, 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + -3 + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) 5 (c) -0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((9\/((-81)\/(-9)))\/(-4))*150?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**2 - 14152*b + 6055680 = 0 for b.\nAnswer: 498, 3040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/152 and -89\/13408.\nAnswer: 254752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/(-10))\/((-9)\/15))\/((-416)\/52)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -10265576.\nAnswer: -2053115.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:34 PM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -3, 706.5, 4\/5, -4?\nAnswer: 706.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 53*a - 40. Let v be n(27). Let d(q) = -q**2 - 11*q + 3. Calculate d(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1106 and -16.5?\nAnswer: 1.8249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/31 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -450 + 845. What are the prime factors of o?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 2*c. Let o(w) be the first derivative of -w**2\/2 + 509. Suppose 0 = n + l + 3, 0 = 4*l - 1 + 9. What is n*u(f) + 2*o(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*i - 1\/3*i**3 - 2\/3*i**2 = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0277 and -74.52876158.\nAnswer: -74.50106158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -601837 (base 11) to base 8\nAnswer: -3543705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 32. Calculate the highest common divisor of 9 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1512392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times -220\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*g + 14 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 6}. What is prob of sequence mmu?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5 + w**2 - 15 + 22 - 44 - 2*w. Let l be d(-5). Let s(y) = 793*y + 31. Let k be s(l). Round k to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5984764, 11969511, 17954258, 23939005, 29923752, 35908499?\nAnswer: 41893246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38b26 + 0?\nAnswer: 38b26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, o: 1}. What is prob of sequence ao?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20785343, -20785344, -20785345, -20785346?\n\"Answer: -z - 20785342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 0*i - 24. Let d(q) = -q + 14. Let l be d(-8). Let g = l - 17. What is the remainder when i is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7542057*g**3 + 125*g**2 - 2*g - 1972?\nAnswer: -45252342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2810 * 7.8\nAnswer: 21918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -28834 divided by -367?\nAnswer: 28834\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/99)\/4*832\/104?\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -160125 by 4575.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, -5\/3, -47, 5, -0.4 in decreasing order.\nAnswer: 5, 2\/11, -0.4, -5\/3, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -177, -833, -1973, -3591, -5681, -8237?\n\"Answer: x**3 - 248*x**2 + 81*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-225)\/(-10))\/9*-2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.8, 75, -2.\nAnswer: -2, -0.8, -2\/3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 53 * -196.87.\nAnswer: -10434.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 15, -5, 6 in descending order.\nAnswer: 15, 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/20)\/(9\/96*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 115438, 115382, 115326, 115270?\n\"Answer: -56*i + 115494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 5*r - 4. Let i(q) = -2*q**2 - 2*q - 2. Suppose 2*n + 3 + 1 = 0. Let u be i(n). Let p be f(u). Solve 0 = -t + p*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - 1)*8\/3 - 2862046\/(-167).\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n - 6. Let z(h) = 1. Let w(d) = d + 1. Let g(a) = 4*w(a) - 3*z(a). Let l(t) = 2*f(t) + 11*g(t). Give l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2430668\nAnswer: -1\/2430668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**10\/(i\/((i\/(i*(i*(i*i**(2\/3)*i)\/i*i)\/i))\/i)) assuming i is positive.\nAnswer: i**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1002021200 (base 3) to base 8\nAnswer: 51544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -11*t**3\/6 + 16*t + 1. Let j(q) be the first derivative of x(q). Let p(h) = h. Determine j(p(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/30)\/((-8)\/3))\/(39\/52)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1)*12\/56*-7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, z: 1, a: 8, e: 5}. What is prob of picking 1 e and 1 x?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-140)\/63 - 2\/(-9). Suppose 4*n + n - 2*w = 28, 5*w - 23 = -3*n. Let j be n\/5*(l + 7). Solve -3*g = -2*i + j, 4*g - 5*i = -3 - 5 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002472 rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w + 1. Suppose 4*d - 20 = -d. Suppose -3*x + 5*x = 10. Let t(q) = 376*q + 0 - 374*q - 1. Determine d*t(k) + x*a(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39774 by 969.\nAnswer: -13258\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266*f**3*j**3 - 965*f**3*j**2 + 10*f**3*j + 52973*f**2*j + 92*f*j**3 - f + 2*j**2 wrt f.\nAnswer: 1596*j**3 - 5790*j**2 + 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2472 and 4266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9899.\nAnswer: 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 611343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*y + 5 + 5, 3*x + 2*y + 8 = 0. Let k = 6 + x. What is the third derivative of 0*i**k + 0*i**2 + 4*i**6 - 3*i**2 wrt i?\nAnswer: 480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 11, 31, 61, 101?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/6)\/(14\/199647). Let c be 3\/(-3 - k\/(-6340)). Round c to the nearest 100.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 14. What is the nearest to 1\/5 in 0.3, -0.2, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*q = -21, -q = o + 124 - 131 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 607409, -67 in descending order.\nAnswer: 607409, 3, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4405187.\nAnswer: 29, 151903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6241 = -2*n, 2*y = 2*n + 3614 - 1098. List the prime factors of y.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, -605, -2480, -6137, -12170, -21173, -33740, -50465?\n\"Answer: -99*f**3 + 6*f + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 89*f = 25*f - 810, -n - 435*f - 426*f + 41 = -856*f for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 11 - 1)*(3 + 4*a - 2 - 5*a).\nAnswer: -14*a + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3862 is divided by 264.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 + -13. Let k be ((-6)\/5)\/(z\/(-40)). Suppose -k*x + 0*l - 2*l = -46, 0 = -3*x - 5*l + 24. Solve -28 = 3*w - x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 6*p - 10*p - 8*p. Solve -11*y - p*g = -6*y + 25, -3*g - 19 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.9835 - 0.\nAnswer: -1.9835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 - 13*j - 4. Let a be c(-5). Suppose -7*p - a = 10. Let h be -4 - (-4 + 0 + p). Solve -m - 10 = -h*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a millennium in months?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 11. Let t = 5.03 + i. What is t rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2)*k)**(-23) assuming k is positive.\nAnswer: k**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*j**3*w**2 - j**3 + 19728*j**2 + 199*j*w**3 with respect to w.\nAnswer: -140*j**3*w + 597*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 3) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.703 + 0.397. Which is the second smallest value? (a) -2\/7 (b) 1\/2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvm when four letters picked without replacement from {v: 3, m: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -341 - -36?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9341.\nAnswer: 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2491515.\nAnswer: 3, 5, 13, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*c + 5 - 26 = 0, 0 = 5*z - 4*c + 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.65 - 3.5. Let z = l + 6.2. Sort 3, -1\/4, 1, z in descending order.\nAnswer: 3, 1, z, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -n**7\/1680 - n**5\/60 - 6*n**3 + 7*n**2 - 8. Let b(l) be the third derivative of c(l). Let i(t) = 6*t. What is i(b(z))?\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2\/54*-9*-10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 23*k + 7 - 9. Solve 143*f - 133*f + 50 = k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1756464 and 71484?\nAnswer: 12295248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169 by -791.\nAnswer: -169\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18 + 17 - 3526372*y + 3526373*y. Give m(0).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/(v*v**(-9)\/v)))\/(v**6\/v))**(-43))**(2\/109))**(-41) assuming v is positive.\nAnswer: v**(-49364\/109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 2*p - 2*p)*(80 + 4*p**2 - 372568*p + 372568*p) in the form z + y*p**2 + c*p + u*p**3 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h*q**6 - 76051*h*q**2 - 3*h + 37035*q**6 wrt q?\nAnswer: -240*h*q**3 + 4444200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 111, 410, 909, 1608, 2507, 3606, 4905?\n\"Answer: 100*y**2 - y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*c + 3955 + 1970 = -4890 + 1581 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*d**3 + 2*d**2 + 0 + 2\/3*d.\nAnswer: 2*d*(d + 1)*(2*d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 16 = 2*l. Suppose 0 = -2*d + 6*d + l. Which is the closest to 0? (a) 2\/17 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k + k. Suppose 3*l - 2*l = k. Let d = l + -5. Which is greater: d or -6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 805?\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 357*b**3 + 1047*b**2 - 24*b - 1380 = 0.\nAnswer: -2, -230\/119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20715 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1159, 1054, 949, 844?\n\"Answer: -105*s + 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + 2)*-26*(-3)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27154 divided by -420\nAnswer: -13577\/210","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -85. What is the third biggest value in 2, -3, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 7*x - 7. Let b be j(-5). Let p = b - 3. Suppose 0 = -w + 4*d + 22, p = 3*w + 3*d - 26 + 5. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7000 - 6969. Which is the closest to w? (a) 0.5 (b) -1\/4 (c) 2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a + 36. Let d = -20 - a. Suppose -3*x = -d + 7, -i + 78 = x. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xurruryzurgu. Give prob of picking 2 y.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -2*n. What is the remainder when 13 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 6076345.2.\nAnswer: -6076345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36117 - -36258. Calculate the highest common factor of 240 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/10 (b) 4\/3 (c) 9455225 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/7)*w)\/(((w*w*w*w\/w**(-25)*w*w)\/w)\/w)*w\/(w*w**34)*w*w**(2\/49)\/w assuming w is positive.\nAnswer: w**(-3029\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 120*h**5 + 2104*h**3 - 49*h**2 - 536*h + 9230?\nAnswer: 2400*h**3 + 12624*h - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3848)\/(-342472) - 19934\/(-178)?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -303*p + 707 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1288 or -1287?\nAnswer: -1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/3*(-1 + -7). Let m(j) be the second derivative of -5*j**3\/6 - 6*j**2 - j. What is the remainder when m(a) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*k - 5*k - 140. What is the highest common divisor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*f - 2)*(-4*f + 6*f + 0*f)*(2 - 5 - 10).\nAnswer: 104*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iei when three letters picked without replacement from {i: 2, e: 2, q: 1, r: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxpppppwpppppppp. Give prob of sequence wp.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 * 0.11\nAnswer: 0.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*c + 7025 = 157*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4*f - 12 - 2 to w + h*f and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*v - 3*j, 3*j - 1 = 3*v - 4. Let h = -700 + 704. Suppose -5 = -h*p + v. Solve -x - 4*o + 2 = 1, -p*o + 2 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16.5 (b) -1 (c) 1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10646*k + 558. Let g be p(-27). What is g rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/140*y**6 - 1\/2*y**4 + 0 - 19\/140*y**5 + 1\/490*y**7 - 6\/7*y**3 + 0*y - 69*y**2. Suppose f(m) = 0. What is m?\nAnswer: -2, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76597, 149852, 223109, 296368?\nAnswer: 369629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*((sqrt(110) - (sqrt(110) + (sqrt(110)*2 - sqrt(110))) - sqrt(110))*-6)\/(sqrt(80)\/(sqrt(8) + sqrt(88)\/sqrt(11)))*3.\nAnswer: -72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6738645 + 8.9.\nAnswer: -6738636.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12654 + -10817. Is 11 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -56*m**2 - 4*m + 4. Let b(w) = -112*w**2 - 7*w + 7. What is 4*b(h) - 7*n(h)?\nAnswer: -56*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 343*z**2 - 343*z + 3. Calculate j(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 4. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 1. Let o(y) = 2*y + 3. Let p(t) = -15*b(t) - 5*o(t). Let q be p(1). Solve -2*d = -q*d + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 greater than or equal to 64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((13 - -7) + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ns when two letters picked without replacement from sssssssssnsnsn.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 5 - (-22 + -12)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(176) - (0 + sqrt(176))) + -4)*-1*-3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3 + 5 - 3 - 4 - 5 + 4 + 0 + (-2 + 7 - 3)*(-1 + 0 + 0) - 7 + 3 + 3 + 3 + 3 - 5 - 6 + 9 + 4)*(-y**4 + 2*y - 2*y).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**2. Let g(s) = -22*s + 3. Let m(w) = -2750*w + 374. Let n(u) = -748*g(u) + 6*m(u). Calculate o(n(b)).\nAnswer: -7744*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbgnlfibn. What is prob of picking 1 f and 1 b?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5\/6, 784, 2\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15708928621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/7*q**2 + 0 + 2\/7*q**4 - 2*q + 2*q**3 = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12999679 + 0.4\nAnswer: 12999679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2\/7 - 843054*y\/7 + 40459680\/7 = 0. Calculate y.\nAnswer: 48, 280970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110210 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42709420 by -130.\nAnswer: -328534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2959251 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370.561 + 3.2.\nAnswer: 373.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Suppose 2*i - 3 = -h - 3*i, h - q*i = 3. Suppose -h = -f + 2*p + 11, -f - 3*p = -14. Solve 0 = d - a + 4, -3*a - a = 2*d + f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506 and 1104?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 + -149. Let c = -73\/45 - -20\/9. What is the second biggest value in c, 2\/9, b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 132 + 336. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}