diff --git "a/data/dm_maths/full_data/1820_11255.jsonl" "b/data/dm_maths/full_data/1820_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1820_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 0 = w - 9*w + 20*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*z - 69348 + 193667 = -8215*z - 222541 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + (20 + -10 - 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 64 + 51 + 32 in the form l + t*n and give l.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-510)\/(-119))\/(-15))\/((-1)\/(8*-1))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 230*o**2 - 10*o - 27144. Calculate j(-114).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/3, -0.42, 5 in decreasing order.\nAnswer: 5, 2, 1\/3, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30586 = -6*h + 30556 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1383 or -1337?\nAnswer: -1337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-3) + -48*96\/54. Suppose -2*o + 178 = -304. Let t = o + l. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/45*-10)\/(4\/(-138)))\/(12\/(-18))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -788, -1754, -3110, -4856, -6992?\nAnswer: -9518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 - (2 + 0)). Let z(t) = t + 0 - 3 - t**3 + t**2 + s*t**2. Suppose 0 = 5*r - 4*r. Give z(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n - 15. Let b be j(7). Let i = b + 32. Let k = 97 + i. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.322 + 0.062. Let r = -2.86 - i. Let j = -1 - -0.8. What is the closest to 2 in 1, j, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 422*y**2 + 351*y - 1058. Calculate a(3).\nAnswer: 3793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102123 - 0?\nAnswer: -102123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from {a: 1, j: 2, w: 11, u: 1, h: 2, l: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (-5 + (sqrt(1008) - (0 + sqrt(1008))))*2)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(5)*-6*5 + sqrt(5))**2.\nAnswer: -25230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -0.4 (b) 2 (c) 2\/39 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -14. Solve 5*o**b + 12*o - 4*o**5 + 7*o**4 - 4 - 8*o**3 + 103*o**2 - 111*o**2 = 0 for o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + 2*o - 9. Let y(d) = -1. Give -x(j) + 6*y(j).\nAnswer: 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-36)\/60)\/((-5)\/75)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 33, 79, 133, 189, 241?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + g**2 + 15*g**2)*(-2*g + 19 - 19 + (6 - 2 - 2)*(-2 - g + 2)).\nAnswer: -44*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 800 = 17*l. Calculate the greatest common factor of l and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/90 - 33\/36*-2. Suppose -3*t - k + 27 - 5 = 0, -4*t = -g*k - 36. Solve 3*y - 14 = -2*z, -4*z + 2*y + t = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11*-3*(-7)\/21. Let y(f) = -2*f + 16. Give y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -111 + 188 + 272 + 239*z - 6 + 47*z wrt z?\nAnswer: 286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2)*3 + 2 - ((sqrt(833)*-1 - sqrt(17))**2 - (sqrt(153) - 2*sqrt(153))\/sqrt(9)).\nAnswer: -1086 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 142*h**2 - 15*h + 56. What is the hundreds digit of g(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2023937469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 10:08 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -0.4 (b) 10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + 4. What is the highest common divisor of 18 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11230313320 (base 4) to base 16.\nAnswer: -16cdf8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (15 - 8) + 0 - (4 - -3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2166720 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/3)\/2*108\/(-8). Let u = l - -56. Let j(h) = -h**2 + 2*h + 7. Let k be j(3). Sort u, k, -1 in increasing order.\nAnswer: -1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 508 divided by 1\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -18*d + 1\/63*d**7 - 4\/27*d**3 + 4\/27*d**4 + 0 + 0*d**2 - 8\/135*d**6 + 1\/90*d**5. Suppose t(j) = 0. Calculate j.\nAnswer: -1, 0, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567.4956km to millimeters.\nAnswer: 567495600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4\/2)*1\/10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 5*z**2 - 76*z + 41. What is the remainder when 984 is divided by c(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 11 + -3 + 17 - (0 + -3 + -40).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 404 and 57.\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**2 - 348*z + 26. What is p(40)?\nAnswer: 506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -263.\nAnswer: -131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = 5*q - 190, -5*n + 4139 - 4069 = 3*q for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33318230 - -0.01.\nAnswer: 33318230.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 114. Let l(w) be the third derivative of -1\/20*w**4 + 0*w + 1\/300*w**6 + 0 + 2\/15*w**3 + x*w**5 - 3*w**2. Solve l(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.04 not equal to -78262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148893589 to the power of 1\/3, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 312.8 + -289. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*v**5 - 26*v**2 - 754*v.\nAnswer: -660*v**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19512.8 millilitres in litres?\nAnswer: 19.5128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 2*x**2 - 3*x**2)*(-15*x - 8*x + 5*x).\nAnswer: 108*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 681462 divided by -34?\nAnswer: -20043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31\/9 or 4?\nAnswer: 31\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 294 and 1323?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = x - 79. Suppose 4*y - 183 = 2*t - 59, 2*y = 3*t + x. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 12. What is the tens digit of l*(-27 - (-6)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, c: 2, f: 3, w: 3, u: 7}. Give prob of sequence fyf.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4502914577.\nAnswer: 7, 643273511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10473 = 3*v - 3*a - a, -4*a - 12 = 0. Round v to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145598 * 1.4\nAnswer: -203837.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -2503502?\nAnswer: -2503476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 0.1, -1\/343099 in increasing order.\nAnswer: -5, -1\/343099, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ima when three letters picked without replacement from hhahmaftima.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 - 183 = -13*v. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 divided by 95775?\nAnswer: 33\/31925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200 divided by 220?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -4, -8, -28 in descending order.\nAnswer: 4, 0, -4, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2697, 2707, 2721, 2739?\nAnswer: 2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017079 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-1740)\/(-270) + -10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.071 to 0 dps.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 3*h = -18. Suppose 3*g - h = -3*r, r - g = -0 + 6. Suppose -r*s - 105 = -9*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4716 + 4774. Which is the third biggest value? (a) -2 (b) q (c) 1\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17360 - -39290. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 661052200 + -4?\nAnswer: 661052163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -11 + 1 + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 3*r - 15 + 31, 4*r + 2*q = -28 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203302 (base 4) in base 8?\nAnswer: -24362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 586343269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 0.125.\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -363909 by 3999.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76805813 and 16444.\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-391 - 1338 + 687)*(-u**2 + 0*u**2 - u**2) to k + p*u**2 + l*u and give p.\nAnswer: 2084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 120 + -448. Suppose 68 = 2*u - y + 14, u = -5*y + 38. Calculate the remainder when (-3)\/(12\/s*1) is divided by u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-33 + -6) - (11 + 13 + -31).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4*i + i = -37, -27*i - 129 = -0*v - 2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21654 and 1428.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4388 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6401\/22 - -3210\/11. Suppose 0 = g + 54 + 195. Let j = -527\/2 - g. What is the common denominator of j and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 10, -3, 1 in ascending order.\nAnswer: -3, 1, 10, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-60)*5)\/(1276\/(-957))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 - -72. Let y(n) = n**2 + 10*n + 25. Let z be y(-11). List the prime factors of g\/3 + 3840\/z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 18*x**2 - 52167 + 2*x + 52174. Let d(w) = -5*w. What is u(d(c))?\nAnswer: -450*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10171230*t + 5730280 - 4327604*t - 5769166*t - 6222*t**2 - 11790*t**2 - 4*t**3 + 14555736 = 0. What is t?\nAnswer: -2252, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2945, -5832, -8663, -11432, -14133, -16760, -19307, -21768?\nAnswer: -24137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1227, 1229, 1233, 1239, 1247?\nAnswer: 1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -154, -565, -1242, -2179, -3370?\n\"Answer: b**3 - 139*b**2 - b - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -1. Let q = 5 + -4.7. Which is the third biggest value? (a) q (b) -5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + ((-6 - 2) + 16 - 11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -992.9 - -1073. Let o = -80 + q. Put -31, 4\/7, -1, o in descending order.\nAnswer: 4\/7, o, -1, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -6\/5 (b) -19 (c) -0.4 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 49*o**2 - 88*o - 293. What is b(47)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 23. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3 + 10265*d**2 - 5424015*d + 158428755 = 0.\nAnswer: 31, 1011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-15)*v)\/v)\/(v\/(v\/v**(2\/85))*v) assuming v is positive.\nAnswer: v**(-1277\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 240 - 578 + 186 + 251 - a**2 - a**2.\nAnswer: -2*a**2 + 99","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33410 by -1.\nAnswer: 33410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19915*r**3 + 15 + r**2 + 19683*r**3 - 92 + r wrt r.\nAnswer: -1392*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -4d?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + (1 + 2)\/(-3). Suppose -3 - 1 = -d*w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 189 - 190. Let p be ((-20360)\/50)\/(b\/125). What is p rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 40*x + 562. Let a be s(-11). Put a, 119, -5 in decreasing order.\nAnswer: 119, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6537.8659915 - -6534.766. Let u = j + 3.1. Round u to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20789551 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/10738 and 95\/3068.\nAnswer: 21476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 40577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -3*q + y + 87, 2*q - 64 = 5*y. Let d be q\/144*2\/7. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3045 and 35.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 - 3 + 1 + 0 - 2 + (-2 + 0 + 4)*(-2 + 3 - 2) + 1 + 3 - 6 + 1 + 0 + 1)*(0*g - 2*g + g) to k + l*g and give l.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 488561845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkjcxknkkn. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1093\/(-2))\/((-4)\/(-8)). Let u = 19703\/18 + n. What is the common denominator of ((-2187)\/(-4536))\/((-3)\/(-44)) and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by -4 - (-22 + -2 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -17. Let m(d) = -d + 2. Let c be m(o). Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*x + 4 = -3, 3*b + 4*x - 61 = 0. Let r(m) = 1138*m + 69. Let i be r(-6). Is 16\/40 - (i\/b - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 9781, 2\/7, -0.06, -0.014?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19744670 or 138212698\/7?\nAnswer: 19744670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p + n, 2*p - n = -2 - 7. Let k be 2 + (-1 - 1) + -3. Let i be 1*p + (-3)\/k. Let h(c) = -c + 2. Let f(b) = 1. Calculate i*h(x) + 4*f(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 80831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - s + 41 = 1, 0 = -3*z + 5*s + 88. Calculate the lowest common multiple of 6 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 6 = -2*d, -4*d + h + 4 - 16 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 8*c - 15. Let w(z) = -4*z**2 - 23*z + 46. Let i(s) = -7*p(s) - 2*w(s). Let u be i(9). Solve 2*y = 4*x + 16, -4*y + x + u*x = -26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5852*b + 5853*b = -4*r - 12, 9 = -3*r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.692 - -1.399. Let a = q - 0.091. What is the third biggest value in a, 6\/5, -2\/7, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -573\/2 - -290. Let b(c) be the second derivative of 1\/20*c**5 + k*c**2 + 5\/6*c**3 - 7\/12*c**4 + 0 + 3*c. What is b(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12852\/85)\/(-21)*20*(-3)\/18\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:02 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*m**3 - 47*m**3 - 157*m**3 - 143*m**3.\nAnswer: -659*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 - 8*t\/13 + 10\/13.\nAnswer: -2*(t - 1)*(t + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -37\/6, 1, -18698, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**3 + 4*q**3 - 3*q**3)*(19 + 11 + 12).\nAnswer: -42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10220, -10081, -9940, -9797, -9652, -9505, -9356?\nAnswer: -9205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 192 = -0*w. Let n = w + -37. What is the lowest common multiple of 8 and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159986, -159966, -159942, -159914, -159882, -159846?\nAnswer: -159806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192, -10, -4, 1, -5 in increasing order.\nAnswer: -10, -5, -4, 1, 192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6296.341um to nanometers.\nAnswer: 6296341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*q + 129. Suppose q*g - 18*g = 815. Let w = g - 55. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 22291440 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 41. Let p(o) = -2*o - 10. Give -2*c(b) + 9*p(b).\nAnswer: -2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028 to seven dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -24. Suppose 0*b + 180 = y*b. Suppose 2*l - 34 = 3*i, -3*l + 3*i = -3 - 51. Calculate the lowest common multiple of b and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/15)\/(8\/10)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ne when two letters picked without replacement from {e: 5, c: 4, n: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(2\/(-4)*6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/18, 1, 3, 4, -4, -2331?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6111 - 85611\/14. Find the common denominator of 71\/6 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ysxmsxxxay. Give prob of picking 1 y and 1 x.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2554*t - 172948. Determine u(67).\nAnswer: -1830","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2974 - 1897. What are the prime factors of -3*2\/(-24) + d\/12?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/5)\/p)*p*p)\/(p*p**(-5)\/p*p*p))**(2\/65)\/(((p*p**(-6)\/p)\/p**(-3))\/(p**1)**(-45)) assuming p is positive.\nAnswer: p**(-13576\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 64 and 3541?\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -158.9 + 158.4. What is the nearest to 1 in -2\/9, -21, -1\/9, t?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 6*y**2 - 4*y**2)*(77 + 59 - 30)*(-4*y + 6*y - y).\nAnswer: -106*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 28400?\nAnswer: 198800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 14952260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9613 (base 10) to base 7\nAnswer: 40012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*-2)**2 + (-1 + sqrt(1900) + sqrt(1900))**2.\nAnswer: -40*sqrt(19) + 13757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Let b(u) = -u**3 + u**2 + 4. Let z be b(0). Suppose 0 = -2*y + z. Let a(v) = -4 + 7 + y*v - v - 6. Give a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 6*x**2 + 7*x + 1. Let d be m(-7). What is the closest to d in 5, 2\/5, -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 - 4.12. Let l = 26 - 51\/2. Which is the second biggest value? (a) q (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2590 divided by 3.\nAnswer: -2590\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (-4)\/7 + (12540\/154)\/(-15)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/59591280 and -1\/5056?\nAnswer: 238365120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78421502 to the nearest integer?\nAnswer: 8856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 + 7*a + 6. Let p be f(-6). Let k be (-239)\/306*((3 - 4) + 3). Let w = -13\/9 - k. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -177*w + 176*w - 50, 0 = -2*w - 5*d + 50 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -5*a**3 + 3*a**2 + 4*a - 13. What is x(3)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -312 + -10123?\nAnswer: -10440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 123 - -1. Suppose 0 = -4*o + 4*g + k, -5*o + g + 135 = -0*g. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1225 < -1223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-7) + (-89984)\/63973\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 50. Let z be -4*14\/8 + 12. Let f = -49 + 56. Solve z*x - b = -f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -9, 4 in ascending order.\nAnswer: -9, -6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 3. Suppose -561 = -j*g + 12. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -1, 1147540, -2\/15 in descending order.\nAnswer: 1147540, 2\/17, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -4. Let g(w) = w**3 - 2*w. Let u(b) be the first derivative of -b**4\/4 + 3*b**2\/2 - 1. Give j*u(q) + 3*g(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n = 25*n - 14971. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4027, 8054, 12085, 16120?\n\"Answer: 2*i**2 + 4021*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -541*m + 6. Let f(j) = 539*j - 8. Let n(c) = 3*f(c) + 4*x(c). Let k(b) = 5*b. Determine n(k(t)).\nAnswer: -2735*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 6*c**2 + 2*c**2 + (3*c - 3*c - 2*c)*(21 - 25*c + 61*c + 67*c) to the form b + s*c**2 + a*c and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 7. Let g be f(4). Suppose -6 = -4*p + 2. Suppose 0 = g*o + p*o + 255000. Round o to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 1209672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2520)*15)\/(12\/(-32))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - f + 13, -618*a = -615*a - 5*f + 29 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 453337504 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000151257103 to seven decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*u - 1)*(31 + 28 + 0).\nAnswer: 118*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b. Let o(s) = 2001430*s + 85212. Let d(t) = -1057*t - 45. Let z(x) = -9468*d(x) - 5*o(x). What is z(g(f))?\nAnswer: -2630*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Is (-6 + 2)\/(n\/(-3)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24.84 and -5.\nAnswer: 19.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, r: 2}. What is prob of picking 3 m and 1 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -62012 (base 9) to base 2.\nAnswer: -1001111110000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**2 + 33*l**2 - 13*l**2 - 13*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46664\/1842)\/(5\/15)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1855.454 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 85 = 71. Let b = 82 + p. Factor 3\/7*r**3 - 3\/7*r - 1\/7*r**2 - 1\/7*r**b + 2\/7.\nAnswer: -(r - 2)*(r - 1)**2*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3650923 or 45?\nAnswer: 3650923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**3\/5 - 174*x**2 - 4392*x\/5 - 704 = 0. What is x?\nAnswer: -4, -1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**3 + 7*s**2 - 4*s - 12. Let n(k) = 4*k**3 + 7*k**2 - 5*k - 13. Let f(z) = 2*n(z) - 3*w(z). Calculate f(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240*a**3*o**3 + 4*a**3 + 42*o**2 wrt o?\nAnswer: -1440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/20 - a**4\/12 - 59*a**3\/6 - 17*a**2\/2 + 3351*a. What is t(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -2, 8 in decreasing order.\nAnswer: 8, 3, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-91)\/(-21))\/(-2*(-1)\/6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -5*i**3 + 5*i**2 - 2*i + 61. Suppose 5*m + 4*o + 85 = 9*o, -3*o = -m - 27. Is h(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262370789.\nAnswer: 10771, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3470618 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z + 5. Let c be (1\/2)\/(19\/(-10) + 2). Let k be t(c). Let s = 0 + 0. Solve -k*g + 4 + 6 = s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1)**(1\/7))**32 assuming o is positive.\nAnswer: o**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -12*l + 42 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*u - 182*u + 37 = -74*u. Which is bigger: u or 67\/144?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-4)\/(-3)) + 7. Suppose x*a + 3 = 27. What is the third derivative of -a*d**2 - 3*d**2 - 4*d**4 + 6*d**2 wrt d?\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - -57*((-3)\/(-9) + 0) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eiei.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18\/145 - 12\/7105. Let h = n + 1385\/294. Find the common denominator of h and ((-78)\/(-28) - -4) + -4.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8805280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 - -5.1. Let c = 0.03 - -0.97. What is the second smallest value in 0.4, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 + 149. Let t = -206 + z. Sort -0.3, 3\/5, -4\/5, t in descending order.\nAnswer: t, 3\/5, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31 + 1 - 0)*(-1004)\/753. Find the second derivative of 2 - 83*b**2 - z*b - 6*b + 11*b**2 - 14*b wrt b.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 144616209.40000098 + -144616234.4. Let k = 25 + r. Round k to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 0*f**2 + f**3 + 4*f + 6*f**2. What is t(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k + 7. Determine p(-20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 16 = 4*w, 4*c + 2*w + 8 = -c. Suppose x = -c*x. Suppose 0 = -a - x*a. Solve 2*b + 4 = 3*p, b - 2 + 1 = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1293 - -1346 - (-703)\/(-13)\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3739306575.\nAnswer: 3, 5, 131, 380591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 - 10*z**2 - 49*z**2 + 167*z**2 + z + 236*z**2 + 2*z**3 to the form d*z + g*z**3 + s*z**2 + p and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -47. Solve -5*m + 11 = -t, 0 = -5*t - l*m + 2 - 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321616 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88953?\nAnswer: 3, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, z: 4, q: 2, x: 1, m: 4, g: 2}. What is prob of picking 1 z and 1 l?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -12 - 4. Solve -u*i + 4*p = -3*i + 17, 5*i = -3*p + 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 160?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 710754059 to the nearest integer?\nAnswer: 26660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j**3 + 4*j**3 + 7*j**3.\nAnswer: -18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36048129539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**6\/360 + 4*j**3 + 3*j**2 + 13. Let v(y) be the third derivative of n(y). Let k(l) = -16*l - 3. What is v(k(r))?\nAnswer: -256*r**2 - 96*r - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-3)\/12*-6. Suppose 0 = n*p + 12, 0 = 5*r + 2*p - 0*p - 17. Suppose -z + r*o = 2*z, -14 = -4*z + 2*o. Solve -2*c + l = -1 + 4, -z*c = -4*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (34 - 48) - ((1 - -14) + 0)) + 159\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/249 + 484\/1743. Let r = -5436.5293 + 5437. Let j = r - -0.0293. What is the nearest to z in j, 0.4, 2\/15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 1)\/((-2)\/(-5)). Let d be ((-16)\/40)\/(1\/m). Which is the nearest to 2? (a) d (b) -0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2650 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/12 - (-44)\/96.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 72 - (-2 + 1)) + -2 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (-1 + sqrt(176))) + (-1 + sqrt(44))**2.\nAnswer: -7*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-12)\/8)*-6. Let p = 14 - a. Solve 4*i + 2 = c - 20, p*i + 20 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 6. Let q = -24 + 27. Solve -q*r = -b - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.4 + -2. Let h = -0.737 - 0.199. Let x = h + -0.064. Which is the third smallest value? (a) -5 (b) y (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4561673 (base 11) to base 15.\nAnswer: -a79d3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(4860\/6300 + 4\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*u**2 - 4 - 5 + 19*u**2 wrt u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3\/8 + 33*j**2\/4 - 3687*j\/8 - 3807\/4 = 0.\nAnswer: -47, -2, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*3 - (1 + -2). Let b be (-8)\/(((-52)\/936)\/((-1)\/(-4))). What is the highest common factor of m and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.643761 - 76023.\nAnswer: -76021.356239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*c + 32, 315 = -4*c - 2*u + 319. Suppose 3*w + 2*w = 5. Let n be w - 3\/3 - -5. Sort n, c, -4 in increasing order.\nAnswer: -4, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 7 + 15 - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0 + (-64)\/30. Let x = 56 + -51. Which is the third smallest value? (a) -5 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2028 and 37\/196222.\nAnswer: 15305316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2879 is divided by 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2232 and 4456467?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*d + d**3 + 296*d**4 + 7*d**2 - 13*d + 21*d + 4*d**2 - 283*d**4 + 1 to a + f*d + w*d**3 + u*d**4 + k*d**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 4. Suppose -7*b = -2*b - 40. Suppose 0 = -a - a - s - 5, 4*a = -4*s - b. Determine o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*s)*(-7*s + 3*s + 2*s)*(4*s - 2*s - s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2*g = 75. Suppose 3*u - 55 = -2*u. Let r = g - u. Solve 3*t + t = -r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(-2 + (sqrt(133)*3)\/sqrt(7) + -5 + 1 + 3).\nAnswer: -60*sqrt(19) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.8 (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5632 and 11792?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100010101110101011 (base 2) in base 14?\nAnswer: -a7535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3\/4 (b) 0.5 (c) 0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 2227457.\nAnswer: -1, 3, 2227457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/6)\/(1\/10). Let u be (-2)\/(-2)*(4 - d). List the prime factors of ((-9 + -1)\/u)\/1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/((-510)\/(-900)))\/((-2)\/1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((3 + 2*sqrt(13))*2 - (2 + 0 + sqrt(637))))**2 + 2.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -36340067 less than 10?\nAnswer: 36340077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33320 and 9520?\nAnswer: 66640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60 - 3?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)\/(-7 - (-92)\/14)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x. Let n(d) = -9*d - 4. Let c(v) = 3*n(v) - 5*w(v). Calculate c(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 2848\nAnswer: -1139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1603457?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -eba + b309?\nAnswer: a44f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-18))**(-38) assuming g is positive.\nAnswer: g**684","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1679876ml?\nAnswer: 0.0001679876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -30\/521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -1. Suppose 2*l = -n + 5*l + 29, -j*n + 3*l = -71. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7011 + -7011.3. Let n = 13 - 11. Which is the biggest value? (a) 1 (b) t (c) -0.4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*p = -2 - 2, 4*p = -5*h + 18. Differentiate -t**4 + t**4 + h*t**4 - 4 wrt t.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*p = 25, 11 = -0*a - 2*a + 3*p. Let o = -6 - -11. Solve -3*b - 32 = -o*g, -a*g + 3*g = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*m + 63*m - 217*m)*(2*m - 3*m - 3*m).\nAnswer: 424*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5) - (-614556)\/3240. Let w = -341 - -530. Let n = w - a. Calculate the common denominator of n and 23\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 4047 - -2 - 5\/(-1). What is the hundreds digit of 4 + 99\/(-27) + b\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2\/4 + 438351*z\/2 - 5259780 = 0. Calculate z.\nAnswer: 24, 292210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 141 divided by 47\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22333 or -4\/41?\nAnswer: -22333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.30062 - 0.00062. Which is the fourth smallest value? (a) -0.14 (b) -1 (c) u (d) -2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 4:37 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1275, 1273, 1269, 1263, 1255?\n\"Answer: -c**2 + c + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 + -3 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wlwlllwlwwllllcll. Give prob of sequence cwlw.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6167 and 259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 30624\/1176 - (54 - 28)\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (0 - -6) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 187525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091908 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j*j*j*j**(-8))\/j)\/j*j**(13\/3) assuming j is positive.\nAnswer: j**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s + 3*d, -7*d + 25 = -5*s - 2*d. Let y be 192\/5 + 6\/10. Let i be (-72)\/y - 6\/39. Sort s, i, -4 in increasing order.\nAnswer: s, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 10. Let m be s(7). Let d(g) = -g**2 + 4*g + 3. Let v be d(m). What is the second derivative of -2*y + 0*y**4 - v*y**4 + 0*y wrt y?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + d + 15, -q + 0*d + 4*d + 16 = 0. Let y = -41 + 41. Solve y*g = q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wte when three letters picked without replacement from {z: 5, t: 6, e: 4, w: 5}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(3*23\/((-8280)\/(-55))*-3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from pppllpp.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 23*y**2 - 134*y - 14. Let w be c(11). Put 2, w, 14 in descending order.\nAnswer: 14, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c - 3. Let a(o) = o + 1. Let y(b) = -11*a(b) - 4*z(b). Suppose 0 = -5*p + 66 - 51. Let l be y(p). Put 0, l, 2 in ascending order.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -21, -4\/7, -6\/7, -0.2, 1.\nAnswer: -47, -21, -6\/7, -4\/7, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6814 is divided by 6812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -2.4 (c) 3 (d) 1\/3 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*p**3 - 84*p**2.\nAnswer: 4*p**2*(2*p - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Suppose 3*d = u - 8, -u + 10 = 3*d - 7*d. What is the derivative of k - 6 - 12*s**u - 2 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29 - -22) + (6 - -1). Suppose 0 = 2*u + 2*u - 44. Solve -5*x + h = 11, 3*x - 5*h + t = u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 150.31 in 0.2, -7\/3, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h = 0. Let l be ((-8)\/(-12))\/((-2)\/(-21)). Suppose h = -g + 5*z - l + 35, g = 4*z + 23. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346287 (base 10) in base 15?\nAnswer: -6c90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 o when four letters picked without replacement from {y: 1, c: 2, m: 1, q: 1, o: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21379 (b) -6 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -235*z**3 + 3*z**2 + z - 2. Let v be p(-2). Suppose 5*i - v + 230 = -r, -2*r = -i + 325. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14*(-8)\/128*-8.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -96601 rounded to the nearest one hundred?\nAnswer: -96600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, -2, 16, -25, -41.\nAnswer: -41, -32, -25, -2, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -v**5\/20 + 9*v**4\/8 - 33*v**2\/2 - v + 25. Let l(k) be the second derivative of u(k). Solve l(s) = 0 for s.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5582?\nAnswer: 2, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y - 1 + 126*y**2 + 127*y**2 + 119*y**2 + 120*y**2 + 16*y**3 - 491*y**2 - 5*y**4 to x*y**4 + a + d*y**2 + m*y**3 + i*y and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1120550549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h + 51. Let r be w(7). Suppose 15*a + 2 = r*a. Let i be (0 - 8\/a) + 11. Solve 0 = -4*j - 19 + i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*v - 6790 + 474*v + 7431.\nAnswer: 2*v + 641","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and 313787?\nAnswer: -12237693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**3 + 6977*c**2 - 6977*c**2 + 0*c + 0*c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-91))\/((-4)\/(-104)*13).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) 2 (c) 5 (d) -7510 (e) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k + 274. Calculate u(79).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 3. Let b(f) = 5*f**g - 2*f**2 - 3*f + f + 1. What is the units digit of b(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 190790*h. Let u(l) = -51*l. Give f(u(j)).\nAnswer: -9730290*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w = -16*w - 244557 + 242013 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**16\/(s*s**(-9)\/s) assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**4 + a**3 - 411 + 411 - 10*a + a**2 + 0*a**3 in the form g*a**3 + z*a + v + h*a**4 + y*a**2 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -121.9434*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 299447802*5\nAnswer: 1497239010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*b*j**3 + 4*b*j**2 + 249*b*j + 8*j**5 - 2*j**2 wrt j.\nAnswer: -1296*b + 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*y**3 + 4*y**2 + 2*y - 76563.\nAnswer: -12*y**2 + 8*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdx when three letters picked without replacement from {d: 3, x: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.061529 to 4 dps.\nAnswer: -0.0615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.107, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*r = -0*y - 32, 5*y - 172 = 4*r. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*u**5 - 2*u + 56*u**5 + 100*u wrt u?\nAnswer: 2140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 9 - 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1) + 75\/(-10).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-54)\/4))\/(-7*(-14)\/(-7))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 11. Let w be r(-9). Let v be (-6 - -8)\/4*6 - w. Solve 5*j - 3*f = -0*j + 17, 20 = -v*f for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**3*c*(c\/(c**(2\/7)*c))\/c*c**(3\/5)*c*c**0*c assuming c is positive.\nAnswer: c**(221\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 4*b**2 + 3*b + 7. Suppose 6*f = 46 + 2. Let l be q(f). What is the highest common factor of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*y**5 + 89*y**4 - 14*y**3 + 3143471*y wrt y.\nAnswer: 960*y**3 + 1068*y**2 - 84*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29570 in 630, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 15 = r. Let t(h) = -1 - 8*h + 3 - 5 + 4*h. Is t(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1008928 - 1008928 - 18*k**2. Let i(b) = -55*b + 3. Give i(h(d)).\nAnswer: 990*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2310*0.63\nAnswer: -1455.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 640*t - 92*t - 235*t to h*t + k and give h.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -10*r + r**2 + 3*r + 10*r - 3*r. Let y(h) = -63*h. Give y(f(w)).\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14547?\nAnswer: 3, 13, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5516 = -1364*a + 1561*a for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 174966 divided by -3\nAnswer: -58322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jjfj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/5 - 766*i**2\/5 + 3504*i - 103392\/5.\nAnswer: 2*(i - 359)*(i - 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30923982 to 4 decimal places.\nAnswer: -0.3092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:08 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - 2 - (-3 + -2). Suppose -4*a = -5*f - 23, 0 = 4*f - 3*f - b. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 5*t + 6. Let m be k(3). Solve -4*o = -3 - m for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from {o: 4, f: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/4)*b**(-1\/9)*b)**(29\/4)\/(((b**(-2)*b)\/b*b*b)\/b**(6\/5)*b\/(b**5*b*b)*(b*b**(1\/10))\/b) assuming b is positive.\nAnswer: b**(11057\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6208393319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1596\/76*25\/(-75)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 22*k - 19. Let p be x(16). Let q = 82 - p. Solve -3*w - 6 = 3*a, 0 = -0*w - q*w + 3*a + 30 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.652424 to 2 dps.\nAnswer: -14.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -208 by -52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 157*k**2 + 101*k**2 - 43*k**2.\nAnswer: 215*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and 0.01.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, n: 1, e: 4, r: 1, b: 3}. What is prob of picking 1 e and 1 u?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y**5\/5 + 7309*y**4 + 46621*y**3\/5 - 93363*y**2\/5 - 58819*y\/5 + 44638\/5 = 0.\nAnswer: -2029, -2, -1, 1\/2, 11\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)*(k\/k**(-15)*k)\/k*k**8*k\/(k*k\/(k*(k\/(k*(k**(1\/13)\/k)\/k))\/k)))**(-1\/4) assuming k is positive.\nAnswer: k**(-71\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 14276926?\nAnswer: 14276926","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35949 + 78992. List the prime factors of p.\nAnswer: 7, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8646825 and -133\/155100?\nAnswer: 34587300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 597, 608, 643, 714, 833, 1012?\nAnswer: 1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119288*g**3 - 6*g**2 + 76*g - 10 wrt g.\nAnswer: -715728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1.5. Let y = -0.051 + -0.349. Let q = 28 - 30. What is the closest to q in y, -0.3, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**2 + 10. Let d(h) = -2*h. What is d(q(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 120*m + 475.\nAnswer: 5*(m - 19)*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -24*x**2 + 16. Let k(v) = 5*v**2 - 3. Suppose 157 = -4*z + 93. Calculate z*k(a) - 3*h(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 3578.\nAnswer: 32202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krykwwkkrwkkkkykrkr. What is prob of sequence rr?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 2*c = 9, 4*y + 1779*c - 1784*c - 31 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 9. Let y be (-12559)\/280*o\/(-24). Let r = -5\/224 + y. Calculate the common denominator of -26 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + 4 - 6*r + 11*r + (0*r + 18*r + 10*r)*(0 + 0 - 1).\nAnswer: -21*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126948413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14670, 14697, 14760, 14859?\nAnswer: 14994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - q - 2 = 0, -28 = -4*v - 5*q - 0*q. Let r be 4 + -7 - (v - 1). Let h(b) = -b**2 - 6*b - 2. Calculate h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 12*i = -3894. Suppose 0 = -v - 3, 0 = -5*w + 4*v - 3*v + i. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 9d?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 3, 5, 0, 2.09, 0.082 in descending order.\nAnswer: 237, 5, 3, 2.09, 0.082, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -2*z**3\/3 - 978. Let i(q) = -759*q. Calculate i(f(p)).\nAnswer: 1518*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 45. Sort 1, z, -0.1.\nAnswer: -0.1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/4*(-5*9\/(-3))\/(54\/(-12)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2 + 4*o - 16. Let i(f) = -f**3 + 6*f**2 - 7*f + 4. Let r be i(5). Is c(r) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -51 + 52. Let g = 0 - 0. Suppose g = a - u - 6. What is the remainder when 26 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 279005 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 7:28 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (90\/(-20))\/((-6)\/4). Solve 5*c = -o*q + 20, 16 = 4*c + q - 6*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 22.6.\nAnswer: -2.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - c + 14 - 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5344834*y**2 + 12648*y + 518568. Let u(h) = -2113*h**2 - 5*h - 205. Let v(n) = -5*b(n) - 12648*u(n). Let g(f) = -f. Determine g(v(d)).\nAnswer: -1054*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 576\/320 + ((-2)\/5)\/(-2). Let g(r) be the first derivative of r**3 - 1 - r + 1\/4*r**4 + r**u. Determine g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d - 9. Let z be s(4). Suppose 193 = z*r + x, 5*r + 4*x = 4*r + 46. List the prime factors of r.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10147, -20494, -30845, -41206, -51583, -61982?\nAnswer: -72409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/54 and -83\/6703128.\nAnswer: 6703128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 + 1614*f - 1611 = 0?\nAnswer: 1, 537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 78. Which is the closest to 0? (a) 3\/5 (b) -25 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3352502*v**2 - 405*v**3 - 3*v - 4*v - 3352499*v**2 as w*v**2 + x + d*v + o*v**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*z - 22. Sort 1, -2, z, 16.\nAnswer: -2, 1, z, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18972214.\nAnswer: 2, 1049, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-195)\/(-90) + (-2)\/(24\/(-10)). Factor -d - 1\/2*c + 1\/6*c**2.\nAnswer: (c - 6)*(c + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 2 + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (3 - -1 - 2) - 6) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 9*s + 7*s = 30*j + 128, 3*s - 164 = 4*j - s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-7)\/525)\/((-13)\/((-390)\/(-12)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112 = 915*c - 943*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10006, -35867, -78966, -139303, -216878, -311691?\n\"Answer: -8619*b**2 - 4*b - 1383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 24*o**2 - 3877*o - 89688. What is h(-23)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4, -1, -0.185?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 159.5552 litres?\nAnswer: 159555.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 238 - 112 + 2*i**3 - 102 as u*i + c + q*i**3 + d*i**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 6*q + 3*q)*(q + q - q)*(-2 + 3 - 3 + (2 + 0 + 0)*(1 - 2 + 4)) - q**2 + 0*q**2 - 5*q**2.\nAnswer: 18*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2104614 (base 7) to base 16\nAnswer: -3df56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-four fifths of a kilogram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 5, -29 in decreasing order.\nAnswer: 5, -1, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28966?\nAnswer: 2, 7, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 190095 smaller than 3.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/2 + (-1 + 5 - 1). Let k = 162 + -161. What is the third smallest value in 2\/21, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1985*a**3 - 6*a**2 + 36*a + 77. Let c(h) = 1985*h**3 - 4*h**2 + 36*h + 62. Let l(s) = -3*c(s) + 2*p(s). Find the second derivative of l(b) wrt b.\nAnswer: -11910*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 11) in base 5?\nAnswer: -2431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/15 + 44196*a**4\/5 + 2196784102*a**3\/15 - 4396565188*a**2\/3 - 9524171776*a\/5 + 48358424576\/15 = 0. What is a?\nAnswer: -33152, -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-10)*-1)\/(635\/(-13208))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/((2\/5)\/((-308)\/(-110))).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-154))\/(195\/(-546))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 75 = -15. Let s = t - 9. Calculate the remainder when 23 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -413*d**3 - 331*d**3 + 213*d**3 + 2*d**2 - 4*d**2 in the form l*d**2 + x + a*d + g*d**3 and give g.\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-10\/3)*q**(-1))**(-3) assuming q is positive.\nAnswer: q**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -26)\/(1 - 2). Let f = -20 + p. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*-2*63\/(-12). Suppose -3*c = -5*n - 5*c + 44, -3*n + 4*c = -q. What is n rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (0 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4 + 89*o**3 - 2425*o**2 + 16539*o + 73926 = 0?\nAnswer: -3, 18, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - 0.280376. What is u rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 10. Suppose 0 = -2*t - k*s - 3, 4*t - s - 30 = s. Solve -2*c + t = -5*i + 14, -4*c = 5*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:42 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3232.23724 rounded to the nearest 10?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {z: 1, k: 2, w: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5663, 27 in descending order.\nAnswer: 5663, 27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -1714725 = -22291434\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 18*w + 6 + 7*w.\nAnswer: -11*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggqgqqqqgqqgqgggqg. What is prob of picking 2 g and 2 q?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1877401, 3754808, 5632219, 7509634, 9387053, 11264476?\n\"Answer: 2*w**2 + 1877401*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14359?\nAnswer: 83, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/6 + -1)\/(-4 - -5). Suppose -46 + 55 = 3*c. What is the third biggest value in 9, c, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 47. Determine l(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**3 + 1731*j**2 + 5710*j + 1848.\nAnswer: (j + 3)*(j + 154)*(11*j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2757663326 a multiple of 2043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15447 smaller than 32577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**5\/9 + 4070*a**4\/9 - 65636*a**3\/9 - 7148*a**2\/9 + 722678*a\/3 + 496342 = 0.\nAnswer: -2051, -3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/6*5\/(-15)*-1214. Let w = -383 - o. Calculate the greatest common factor of 42 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32210.83248084 and -7.\nAnswer: -32217.83248084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -620.\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {d: 1, y: 3, e: 1, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5485467 divided by -5485467?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -304584303*k**2 + 62764*k + 3076 wrt k?\nAnswer: -609168606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (-6 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -120. Let s = m + 63. Suppose s*z - 360 = 60. Calculate the highest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 368747617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 196\/(-35) + 4 + -2. Are -5 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84731 + 16942 + 12*n + 16949 + 16942 + 16954 + 16944.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/110 and -51\/100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k**2 + 6*k**2 - 111*k**2.\nAnswer: -128*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n. Let g(f) = -36*f. Determine -3*g(w) - 20*i(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -w**4 - 50*w**3 + 687*w**2 + 5364*w + 8640 = 0.\nAnswer: -60, -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*m - 152*m + 6525. Calculate the greatest common divisor of 6 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + j - 2*j)*(-11*j - 24*j - 9*j - 15*j) in the form z*j + n + p*j**2 and give p.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 57 = -12. Suppose 71*o + 134*o - 21525 = 0. Calculate the greatest common divisor of y and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2098 + -2095.898. Let a = -2.4 + r. Let z = a + 0.3. Round z to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6227\/1725 - 124\/75. What is the common denominator of 13*(-6)\/5 - (6 - 12) and u?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6552\/1638)\/(16\/372*-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 27.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 + 44*w**2 + 15*w + 2. Let q be a(15). Which is smaller: -158 or q?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-5)*h*h**(-10\/9) assuming h is positive.\nAnswer: h**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**2\/4 + 226077*p\/4 + 1130535\/2 = 0.\nAnswer: -10, 75369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwkkaskskrkwrsy. What is prob of picking 3 s and 1 r?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1482136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3913966601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6958751\/8 - -865711. Let i = y - -4127. What is the common denominator of i and (-24)\/(-14) + 2\/(-1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94177*m**3 - 47092*m**3 - 47086*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -718 and -141.461.\nAnswer: -859.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + o**2 - o - 1. Let p(g) = -g + 3863*g**3 - 2 + 3*g**2 - 7741*g**3 + 3876*g**3. What is n(d) - p(d)?\nAnswer: 3*d**3 - 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1823384543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.643 + 1.357. Let m = -445 - -215. Put m, i, 0 in descending order.\nAnswer: i, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05463 * 172.189\nAnswer: -9.40668507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 2*s**2 + 6*s + 8. Let q(k) = -k**2 + k - 1. Let a(m) = h(m) + 3*q(m). Let d be -1*(7 + 0) + 1. Calculate a(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 minutes after 12:23 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2678 - -2677.8. Suppose -3*r - 2*r = 25. Let w = r + 10. Put 4\/9, f, w in ascending order.\nAnswer: f, 4\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*p**3 - 306964*p**2 + 1410442*p wrt p.\nAnswer: 24*p - 613928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2844972 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Suppose -12*k + 6*k - 27174 = c. Let s be k\/(-28) + (-2)\/(-8). Round s to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/4)*z*z*z*z**(9\/2)*z)**(3\/13)*(((z**(2\/3)*z)\/z)\/z)**49\/(z**0)**(-18\/11) assuming z is positive.\nAnswer: z**(-169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-38)\/60 + 189\/(-1134). Which is the fourth smallest value? (a) -5 (b) 2 (c) 9 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - y - 10. Let x be z(3). Are x and -25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -91*m**2. Let k be a(-1). Let i = 97 + k. Solve -2*v - 3*w = -i*v + 13, 0 = -v + w + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, d: 3}. Give prob of sequence wdw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y + 16*y + 0*y + 21*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1173, 601, 31, -537?\nAnswer: -1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 - 140 = 3*q + 4*g, -5*g + 15 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-245)\/28 + (-2)\/8. Let q = d + 11. Suppose q*v = v + 5*x + 23, 3*x - 3 = -5*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5670 or -38?\nAnswer: 5670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -6\/10343, 5\/188, 5?\nAnswer: -6\/10343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 63, 93, 449, 1293, 2787, 5093, 8373, 12789?\n\"Answer: 27*l**3 + l**2 - 162*l + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0 = -2, -7 = -x - 3*h. Suppose f - 10 = -x*f. Suppose -f*t = t - 21. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-110)\/385)\/(6\/8820*10)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -44 + (48 - -19)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 368*b - 1203 wrt b?\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214 + 210 - (0 + 0 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + l + (-22 - 17 + 5)*(4 - 4 - 2*l) - 5*l + 3*l + l - 3*l + l + l + (l - 5*l + 3*l)*(-2 - 1 + 4) + 4*l + 0*l + 13*l.\nAnswer: 83*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6*w - 14 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 240 = 844. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11*l - 6. Let i be g(-3). Let z = i + 50. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2191 or -8380?\nAnswer: -8380","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.645565ml in litres?\nAnswer: 0.002645565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -119.81439.\nAnswer: -119.84439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*t + 7 = t, 4*o = -2*t + 16. Suppose -o*m + 40 = -m. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 11. Let m be u(8). Suppose -7 = 3*o - 5*x + 11, -m*o - 3*x - 42 = 0. Let s(b) = -b**2 - 10*b + 15. Let a be s(o). Solve 4 = -4*y - a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 + 10 + 130 - 2\/1. Let n = f + -135. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2505 - -2488. Put -2, -1, v, 6 in descending order.\nAnswer: 6, -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 43*j + 121. Is z(39) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 22*y**2 + 52*y - 50. Let s be z(51). Suppose 34*c - 18*c = s. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 8*a - 8. Suppose -3*z = -14 - 4. Let o be g(z). Find the second derivative of 0*u - 3*u**o - u**4 + 2*u**4 - 8*u wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let n = 9 + -12. Let z be g(n). Let t = 0 - z. Sort t, -1\/4, 3.\nAnswer: t, -1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684, 676, 668, 660, 652, 644?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**2\/5 - 6*j\/5 + 16\/5 = 0.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 20256 = -33*v. Let l = 7307 + v. Suppose 2*b + 5*o = l, b + 5*o = o + 1123. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 + 257 + 1707 = 205*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j + 2*j - 2*j)*(189*j - 185 + 185) to the form b*j**2 + c + p*j and give b.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 7*r**2 + 8*r + 4. Suppose -c + 10*c = 63. Let y be k(c). Suppose -i + 296 = y. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -14. Let x(z) = 4*z**2 - b*z**2 + 35 - 2*z + 0*z**2. List the prime factors of x(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let q be (1 - (-6)\/(-12))*2*1. Let t(l) = 4*l - 7. Calculate q*t(x) + 5*o(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-110))\/((-18)\/180)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 + -2202101210111010?\nAnswer: -2202101210110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*2 + 5. Suppose 0*d = -y*d + 964. Let k = d + -137. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 14 = -3*i, 4*i - 2*t = 2 + 20. Let p be 1 - (8 - 3)\/i. Solve -3 = -v - p*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-1 - -3) + 12 + -43?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*u - 3734 + 637 = 2071 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (sqrt(1008) + 0)*5 + (-4*(sqrt(1008) + 1) - sqrt(1008)) + sqrt(1008))**2.\nAnswer: 24*sqrt(7) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u**2 + 2*u - 2. Suppose 5*v - 27 = 4*a - 4, 0 = -a + 3*v - 11. Let k(r) = 1 - 4 - 5*r - 5*r**2 + 3*r + 5*r. Determine a*k(h) + 3*o(h).\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 21 + 15 - 55 + 10 - 98*w**2.\nAnswer: -98*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 + 13 = -3*j, 4*t = 20. Suppose 0*s - y = 4*s + j, 2*s - 3*y = 3. Solve -4*h + 8 = -s*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*d = 1 - 381. Let k(g) = g**3 + 4*g**2 - 7*g - 6. Determine k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -4 + (-7 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 10*s**2 + 2. Let r be l(-10). Let v(n) = -r*n - 1 + 7*n + 1. Let i(w) = -51*w - 47*w + 98*w + 3*w**2. Determine v(i(p)).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 + 5*a + 5. Determine h(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -6*b - 214. Let d = b + 26. Find the second derivative of -9*o**d - 4*o**4 + 14*o**4 + 17*o wrt o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 11 - 2 = -4*x, -4*i + 8 = x. Solve -4 = -3*k - i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -g - 4*g. Let o be 107 - (g + (-6)\/3). Let z = -4 - -14. Calculate the greatest common divisor of z and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 13*j + 274. Does 3 divide x(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 13. Suppose 218 = 14*p + 120. Give q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 528642147 to the nearest integer?\nAnswer: 22992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5913799213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.9 - 0.1. Let n = 110 - 111. Which is the nearest to 1? (a) 5 (b) n (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**3\/3 - 3*p**2 - 3*p - 10. Calculate r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -8*l**6\/3 + 3*l**5\/20 + 5*l**4\/12 + 29*l**2\/2 - l - 236. What is the third derivative of z(j) wrt j?\nAnswer: -1920*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -12 - 8 - 10*z + 30 - 9. Let l(j) = -j. Determine n(l(f)).\nAnswer: 10*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 23*b - 4. Let j(w) = 45*w - 7. What is 3*j(p) - 5*t(p)?\nAnswer: 20*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*r + 20*r**2 + 2\/3*r**3 - 20.\nAnswer: 2*(r - 1)*(r + 1)*(r + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - g - 12. Let f(m) = m**3 - 6*m**2 - 4. Let x be f(6). Put g, x, 5 in decreasing order.\nAnswer: 5, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 0.2 (c) 0.057 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmm when three letters picked without replacement from wmwmxmwdwmx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = u + 1, -2*n + 6*n = 5*u - 9. List the prime factors of u*((-364)\/(-4) + 0).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*b + 4, -2*b + 2*c = -5*b + 8. Solve -4*t = b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/(1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a**2 - a - 54. Let v be q(0). Let t = -5 - v. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -30*n**5 - 3835*n**4 + 60*n**3 + 7670*n**2 - 30*n - 3835 = 0?\nAnswer: -767\/6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 14*n - 30. Let z be g(-13). Let u = z - -51. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*y - 3*b + 86 = -62*y, 56 = -4*y - 4*b for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 24 = -0*k. Let g be 4\/(-6) - (-80)\/k. Let v(t) = t - 5. Calculate v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + sqrt(833) + 3)**2 - sqrt(833) - (5 + (sqrt(1088) + 3)**2)).\nAnswer: -273 - 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*k**3 - 21931*k**2 + 5*k - 3 + 21935*k**2 - 10*k**3 in the form a*k**3 + y*k + v*k**2 + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + x - 2 - 0, -2*x = 3*q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2255 + 0.1945. What is the biggest value in -2, b, -0.2, -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4 - 10. Which is the third biggest value? (a) 3 (b) m (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4\/7 + 53406*c**3\/7 - 53392*c**2\/7 - 320424*c\/7 = 0?\nAnswer: -2, 0, 3, 26702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 433554342*f**2 - 958*f**3 - 433554342*f**2 - 1296*f**3.\nAnswer: -2254*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 0. Sort 3, 4, m in ascending order.\nAnswer: m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17128\/2304 - 7) + 4\/18. Are p and 2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26 and -17?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cldddccccddccl. What is prob of picking 4 c?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.9 + -4.1. Which is the third biggest value? (a) k (b) 1 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*l + 329*t = 327*t + 19, 19*l + 279 = -3*t for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:50 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(-1*sqrt(2)*-1 + sqrt(2) - sqrt(2)).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 8:42 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3767*w + 1940*w + 319867 = -16846 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 + 28*x**3 + 476 - 1884 + 476 + 459.\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107721*j**4*y**3 + 442*j**3*y**2 + 267*j**2*y**3 - 1872*j*y**2 - 3*j*y - 8*y**3 wrt j?\nAnswer: -2585304*j*y**3 + 2652*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -115?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 3576*w - 799228. Let t(n) = -n**2 - 4. Let z(k) = r(k) + 2*t(k). Factor z(j).\nAnswer: -4*(j - 447)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -562*x + 566*x - 4532 = 0. Is x a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.09, 0.94, 11\/4, -3, -15, -2\/3?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 + 161 + -162 + (-1 - 26\/(-10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**4\/2 + 295*q**3\/2 + 15425*q**2 + 47250*q - 2137500 = 0.\nAnswer: -50, -15, 10, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 137, 138, 139, 140, 141?\n\"Answer: u + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 11. Let a(y) = y - 5. Let z be a(v). Factor -2*q + 5*q**2 + z*q + 7*q - q.\nAnswer: 5*q*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 4 + 8 - 6*j**2 + 4*j**2 to z + y*j**2 + g*j and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -972 - -975. Solve -3*t - 4*o = t, -q*t + 2*o = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 4*u**2 - 6*u + 7. Let z be a(5). Let o = 1 + z. Solve -o*g - 2 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29210010 is divided by 553?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -16*15\/90*(-21)\/(-7)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*z = -876, 5*z = -y + 249 - 42. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9150 is divided by 58.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461664.17144 - 461824.2. Let d = y + 160. What is d rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**4 + x**3 - x**2 + x. Let i(n) = -133*n**4 + 6*n**3 - 6*n**2 + 2*n + 395. Let t(v) = i(v) - 6*z(v). Differentiate t(o) wrt o.\nAnswer: -484*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-7))\/((h\/(h**(-2)\/h*h))\/h)*(h*h**(-2))\/((h\/h**3)\/h))\/((h\/(((h\/(h**8*h))\/h)\/h))\/h**(-1\/10))**(-3) assuming h is positive.\nAnswer: h**(273\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.274443 weeks to milliseconds.\nAnswer: 2585183126.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2be7 - -a2?\nAnswer: 2c99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 + 212 = -5*m. Let s be 2\/(-3) + (-215)\/m - 2. Which is the closest to -1? (a) 3 (b) s (c) 2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -2\/135 (c) 1\/2 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234101 and 16324.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*n + n - 6*n)*(-2 - 1 + 2) - n + 2*n + n + 3*n - n - 3*n)*(663 - 352 - 19315*n**2 - 311).\nAnswer: -38630*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 617 = -175*d + 98, 0 = -4*d + 3*b + 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 104.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 6:11 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 12. Suppose 14*s - 72 = 1734. Let z = 114 - s. What is b(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*l = 138 + 10, -g + 48 = -4*l. Suppose z + 2*f = 4*f + g, z + 4*f = 44. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 880\/(-7) - ((-152)\/56 + 3). Let o = f - -173. Calculate the highest common divisor of o and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 327405.695 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 - 4*k**3 + 3*k**3 - 20*k**2 + 20*k**2 - 6*k**3 + (-3 + 3 + k)*(-9*k**2 + 16*k - 16*k).\nAnswer: -21*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -25*g**2 + 1. Let y be z(1). Let a = y + 72. What is the remainder when a is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*x - 365*h**3 - 2*h**2*x + 4*h**2 + 4*h*x wrt h.\nAnswer: 18*x - 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-9)*(72\/(-16) - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.205498.\nAnswer: -0.821992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1869632 and 35\/7478528?\nAnswer: 7478528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*y + 738*y = -3*b - 9, -6 = 3*y + 3*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10 - 148*n - 33*n + 49*n - 2. Let s(b) = 53*b + 5. Let h(p) = -12*s(p) - 5*u(p). Let i(v) = 2*v. Give i(h(m)).\nAnswer: 48*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 44 + 23 - 115*c.\nAnswer: -115*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -5\/6*v**3 - v + 0*v**2 + 0. Let h(z) = 2*z. What is a(h(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = -5*h, 5*h + 2*d + 3 = -19 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*q + 0 - 3*q + 1)*(0*q**2 - 7*q**2 + 8*q**2) as k*q**3 + f*q**2 + b*q + l and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 + (-8 - -16) + -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 42*g - 47. What is the remainder when 90 is divided by p(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 5*m - 20, 0*o = -3*o + 3*m + 12. Let i be (o - (1 + -2))*-1. Let v(t) = -9*t + 1. Is 10 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1437)\/(-958)*6*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 2*b + 5. Let x be v(-3). Let s be (5\/3 - x)*2. Let l = -5 - -10. Sort l, 0.2, s in ascending order.\nAnswer: s, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2253)\/(-5) - 4\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*q + 5*x, 3*x + x = 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 264.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -347\/785720 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 - (-7 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 6*l**2 + 6*l + 1. What is p(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 45372 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0786 + -0.0186. Which is the closest to -1? (a) p (b) -0.2 (c) -0.5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjsj when four letters picked without replacement from {j: 6, s: 3, p: 5, z: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 - 144561*p**4 + 2322035154*p**3 - 12433724141580*p**2 + 12431402250984*p = 0 for p.\nAnswer: 0, 1, 16062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -1894870?\nAnswer: -2\/189487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*o**3 - 228*o**3 - 320*o**3 - 261*o**3 - 327*o**3 + 1202*o**3.\nAnswer: -413*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26324 + 26334. Solve -4*x - 13 = 3*f, a*f - 9*f + 5*x = -8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235868159.\nAnswer: 181, 1303139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54454 and 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and 895\/84 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - m = -4*s + 14, 0 = m - s. Solve -2*v + 20 = m*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2. Suppose 2*v + 22 = 3*j, -3*v - 6*j - 16 = -2*j. What is the units digit of u(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 - -1 - (117 - 130)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1923, -1913, -1903, -1893, -1883?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-2) + 1 + 0. Suppose w*s + 0*s = 42. Is 7 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -3)*2\/4. Let u(k) = k**3 - k**2. Let p be u(n). Suppose p*c - 18 = -2*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222 - -100002202?\nAnswer: 100000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**8\/9240 - m**6\/660 + m**5\/330 + m**3\/2 + 2*m**2. Let p(t) be the first derivative of o(t). Factor p(r).\nAnswer: 2*r*(r - 1)**2*(r + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**3)**(-14)\/((((a**0\/a)\/a)\/((a\/a**(2\/9)*a)\/a))\/(a**0)**(-2\/85)) assuming a is positive.\nAnswer: a**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 88, 36, 6, 145 in descending order.\nAnswer: 145, 88, 36, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81968252 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54525 or 1199565\/22?\nAnswer: 54525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -1)\/(-2) - (-7 + 2). Solve -2 = -a - 3*k - 1, q*k = -4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 10:50 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (197*q**4 + 190*q**4 - 212*q**4 + 14*q**4)*(3 + q - 3).\nAnswer: 189*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**4 - t**3 - t**2 + 1. Let v(z) = z**4 + 5*z**3 + 5*z**2 + 9. Let s(x) = 5*p(x) + v(x). Differentiate s(f) with respect to f.\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(-63))\/((-7)\/49*1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(165)\/sqrt(3))\/(2*sqrt(891)) + ((0 + sqrt(125))*-4 - sqrt(125))*-1)**2.\nAnswer: 114005\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 5*k. Let j be 5 + -4 - 5*1. Let l(z) = -z**2 + z. Let m(v) = j*w(v) + 20*l(v). Let c(i) = -7*i**2 + i**2 + 5*i**2. Calculate c(m(s)).\nAnswer: -16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - j - 19 = 0, i - j - 2 - 5 = 0. Let v(z) = z**2 - 4*z. Is 3 a factor of v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -22*g + 192. Give v(5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2337, -3599, -4263, -4329?\n\"Answer: 299*v**2 - 2159*v - 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 10750 = -18*v - 10512, 4*v - 56 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-105)\/14 - -3)*20\/(-18)*3153.\nAnswer: 3, 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34599.\nAnswer: 3, 19, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 - 1111?\nAnswer: -111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*f - 3 + 3 - 58*f as v + i*f and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -95*w + 93*w. Suppose -568 = -w*t - 5*p, -4*t - 3*p + 480 + 270 = 0. List the prime factors of t.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9356.1752 rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 879460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/29 + -135\/232. Let m be -1 - (-9)\/33*3. What is the closest to m in 5, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/30)\/((-3)\/6) - -4. Solve l*z = 4*g + 7 + 11, -3*g = z + 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 15*c**3 + 11*c**2 + 44*c - 115. Let j be b(5). Calculate the greatest common factor of j and 605.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d**3 + 3*d**3)*(3 - d - 3) + (3*d**3 - 7*d**3 + 2*d**3)*(-3*d + d + 3*d).\nAnswer: -5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**5\/3 + 58*p**4\/9 - 112*p**3\/9 + 12*p**2 - 52*p\/9 + 10\/9.\nAnswer: -2*(p - 1)**4*(6*p - 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + (-584)\/4)\/3*-3. What is the common denominator of 5\/16 and u\/(-12)*16\/(-48)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02105 - 455.6186.\nAnswer: -455.63965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 5*a**2 - 5*a. Let u(y) = -2 + 2 - y**2 + 4*y - 3*y. Let l be ((-2)\/6)\/(5\/(-15)). Give l*s(r) + 3*u(r).\nAnswer: r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 39*q. Let s(u) = -2*u**2. What is s(n(v))?\nAnswer: -3042*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(500) + (sqrt(120)*-2)\/sqrt(6))**2*-5 + 1.\nAnswer: -6399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11121843, 11121842, 11121841?\n\"Answer: -j + 11121844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15247540 divided by -1089110?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - -43)*8\/3. Let b(o) = 6*o**3 - o**2 + o. Let i be b(1). Suppose 0 = -g + i + 9. Calculate the highest common divisor of g and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 594203166 to the power of 1\/2, to the nearest integer?\nAnswer: 24376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 - 23*p**2 + 2*p**2 + 32 + 6*p**2 - 5*p**3.\nAnswer: -5*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 39 + z**2 + 15 + (2*z**2 - z**2 + 0*z**2)*(-5 + 2 + 7) in the form f*z**2 + k + c*z and give k.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(204*x - 29*x**2 - 204*x)*(4 - 1 - 2) + 3*x**2 + 0 + 0 - 2 + 3*x**2 + 2 + (-2 - 2 + 6)*(4*x**2 + 2*x**2 - 4*x**2) + 3*x**2 + 2*x**2 - 3*x**2.\nAnswer: -17*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43712.11 litres to millilitres.\nAnswer: 43712110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 = 3*h, h - 3*h = 4. Suppose d*o - 20 = -o. Solve o*w - 5 = 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5264, -2, 9781, -5 in decreasing order.\nAnswer: 9781, 5264, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17581725, 35163446, 52745167?\nAnswer: 70326888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 + 131 = -32*l. Let w be (-52)\/(-39) - 4\/24*l. Factor 0 + 2\/9*t**5 - 4\/9*t**4 + 0*t + 0*t**2 + 2\/9*t**w.\nAnswer: 2*t**3*(t - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 10. Let h be o(6). Suppose -299 + 13 = -4*c + 5*j, 0 = c + h*j - 61. Suppose -3*p - 3 = 6, 3*m - c = -4*p. 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 the nearest to 0.1 in 1, 3\/4, 25\/2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1116692 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -493*n + 408. Let h(y) = 38*y - 32. Let w(m) = 51*h(m) + 4*o(m). Let g(z) = 7*z. What is w(g(q))?\nAnswer: -238*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.86545km to nanometers.\nAnswer: 16865450000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 11 = -y, -y + 4*d = 20 - 4. What is the second smallest value in 4, 3, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.376 - 0.046. Is o != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 1:26 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a second in milliseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -0.51126?\nAnswer: 0.41126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 20 + 22. Suppose 3*v - 4*z = z + 28, -5*z - 34 = -4*v. Let g = -4 + v. Calculate the highest common divisor of a and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13283 + -12213. Calculate the highest common factor of w and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1.2, -2\/3, 12 in increasing order.\nAnswer: -2, -1.2, -2\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 1675.\nAnswer: 13400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 + (1 - 8))\/((-1)\/35). Let u be 889\/6 + 1 + k\/30. Suppose 12*r = 11*r + u. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8372462 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 17*w**3 - 6*w**2 + 6*w. Let u = 1399 - 699. Suppose -691*q + 1683 = -u*q. Let b(m) = 528*m**3 - 187*m**2 + 187*m. What is q*g(v) + 6*b(v)?\nAnswer: -11*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/((-34)\/476*-798)?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -36851.\nAnswer: -257957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*y - 21*y - 53*y**3 - 17*y**3 + 0*y - 2*y**5 wrt y.\nAnswer: -40*y**3 - 420*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 18 - 36)*(-3 + 4 + 9)*(-2*d + d - d).\nAnswer: 1760*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 2. Suppose -w*s + 20 = -0. Suppose s*v - 4 = 36. Calculate the highest common factor of 5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 21 = 5*j, -4*r + 7*r = 2*j + 2. Solve -4 - 21 = j*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 + 1692*g - 6855. Let j be r(4). Let u(k) = 9*k + 9. Let a = 15 + -11. Let p(w) = -5*w - 4. Determine a*u(v) + j*p(v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18 + (-22)\/(-18). Let u = -1.94 + -0.06. Is y bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 10:16 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by -64.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(7))**2 - sqrt(7) - (-4 + -4*sqrt(7)).\nAnswer: 3*sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 94. Let b be (-12)\/(-28)*12\/c. Factor 0*k - 2\/7*k**2 - 4\/7*k**3 + 0 - b*k**4.\nAnswer: -2*k**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 5*m - 2. Suppose 12 + 18 = -5*s. Let t be v(s). Suppose 0*o = t*o - 76. What are the prime factors of o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34210 - 2155?\nAnswer: -40405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*g = 4025, -22*o = -21*o + 3*g - 2017. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 15*c**2 + 10*c + 56. Suppose -y = 5*k - 68, -59*k + 55*k + 2*y + 60 = 0. Determine r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.2 (c) -2 (d) -0.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, t: 17}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42224 (base 6) to base 13.\nAnswer: 279a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3716 + 1123. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158038 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42378901 and 6663?\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2075655 * 1\nAnswer: -2075655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 408 - 312. Suppose 14*y = p - 26. Solve 0 = y*z + 5 - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.026878 less than -3608837?\nAnswer: -3608836.973122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**15*g))**9\/(g**(41\/5)\/g*g**(-14\/9)))**(2\/61) assuming g is positive.\nAnswer: g**(-13468\/2745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*q + 8 = 0, -q = -2*m - 3*m + 7. Let b(p) = 2*p**3 - p**2 + p. Calculate b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from {s: 2, o: 4, d: 1, f: 3, x: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3898529 rounded to two dps?\nAnswer: -19.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + d**2 - d + 1. Let c(o) = -1138*o + 5686. Let m be c(5). Let r(y) = 6*y**3 + 5*y**2 - 5*y + 1. Determine m*f(g) + r(g).\nAnswer: 2*g**3 + g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 = -269*m + 4455 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*t = -14, d + 0*t + t = 4. Let y be (-62)\/6 - (-1)\/d. Is 2*y*3\/(-6) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 31. Let q = -51 + 55. Suppose j = 2*f + 10, -j - q*f + 50 = 2*j. What is the remainder when a(10) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 4*j = 20. Suppose 4*x - 2 - 22 = 0. Solve j*g - x = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192 (base 10) to base 2\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6621918 is divided by 2207280?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 77 - 71. Suppose 3*a - 2*n + 17 = 0, -n = 3*a - f*n + 29. Sort 3, a, 4, -11 in increasing order.\nAnswer: -11, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Let k be l + -1*4\/(-2). Determine q so that q**3 - q**2 + q - 3*q**k + q + q**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-376)\/1410 - 38\/(-105)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292120.\nAnswer: 2, 5, 67, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 66 = -15*m. What is the remainder when 75 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2470, 1362, 254, -854, -1962?\nAnswer: -3070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 12:58 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 i when three letters picked without replacement from ymjyjjmjjjjjmimjyj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 + 339. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 415*k - 1290.\nAnswer: 5*(k - 86)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6212 + 6374. What is the remainder when u is divided by 38?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uullluulllllll. Give prob of picking 3 l.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -63, -245, -545, -963, -1499?\n\"Answer: -59*s**2 - 5*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1424940330.\nAnswer: 2, 3, 5, 11, 1613, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(3 + 1\/(-1)). Suppose o = 4*o - a*g - 62, -o = -g - 22. Suppose 3*n = 3*s - o, -9 = -2*s - 2*n - 1. Solve -4*b = -s + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -20, -1\/128, -2\/9, 0.2, 0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 11 - 2*t**2)*(3*t - t - 3*t) - 5383 - 101*t**3 + 5383.\nAnswer: -99*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9c6a (base 15) to base 4\nAnswer: -20012113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*b - 4*y + 4 = -106*b, -5*b - y = 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/4*222\/(-185). List the prime factors of 1\/h*9 + 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(171))\/sqrt(3) - (sqrt(4617) - sqrt(4617)*-6 - sqrt(4617)))\/((-4*sqrt(108) - sqrt(108)) + sqrt(108) + (sqrt(198)\/sqrt(6))\/sqrt(11)).\nAnswer: 48*sqrt(19)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 5*m - 8. Let i be y(-6). Sort 20, i, -5, -1 in descending order.\nAnswer: 20, -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {g: 5, w: 1, l: 3, j: 5, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 1254*v + 131043.\nAnswer: 3*(v + 209)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/21 (b) 9 (c) -2\/13 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-13 - (-12 - -22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37016413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9}. Give prob of picking 2 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1326 and 38\/333801?\nAnswer: 11349234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 7 (c) -0.3 (d) -1\/11 (e) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -3350\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, y: 4, r: 1, b: 3}. What is prob of sequence rcyc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3.07, 0, -2 in descending order.\nAnswer: 3.07, 0.4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*y - 2*y**2 - 37*y**3 - 153*y + 2 - 2 to the form v + f*y + l*y**3 + u*y**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -121284 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/((h**(-3\/4)*h)\/h)*h\/(h\/(h**(2\/17)\/h*h*h)))\/(h**(-7)*h*h*h\/(h*h**(-4))) assuming h is positive.\nAnswer: h**(331\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1011031*o**2 + 25*o + 56710039.\nAnswer: -2022062*o + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 6. Let p(s) = -8*s**2 + 2904*s - 668. Let t(j) = 10*k(j) - p(j). Factor t(h).\nAnswer: 2*(h - 364)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55760.\nAnswer: 2, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -54?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**3 - 24*d**2 - 70*d - 2. Let i be v(-7). Sort 50, -17, i in ascending order.\nAnswer: -17, i, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -43) + 0 + -16 + (0 - -2)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202208.1 nanograms in tonnes?\nAnswer: 0.0000000002022081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-64))\/(2 - 30\/(-8)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -290 + 286. Put -2\/5, p, -0.3 in increasing order.\nAnswer: p, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 12.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 + 2*v**4 + 21724*v**3 + 93133*v**2 - 5*v wrt v?\nAnswer: 60*v**2 + 48*v + 130344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/12*153\/(-34))\/((-6)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 759 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 1)*(-1 + 1 - 3)*(-2 - 2*s + 2) + 5*s - 2*s - 5*s.\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 33*r**2 - 356*r - 252. Give n(-8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -4 + -7 - (7 + -6 + -1) - -6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1257 - -1262. Put 1, 4, x, 32 in descending order.\nAnswer: 32, x, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64)\/sqrt(8) - (sqrt(4)\/sqrt(2) + 0 + sqrt(2)))**2*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r - 29*r + 3 + 15*r.\nAnswer: -58*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 4:05 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -212120210222211?\nAnswer: 212120210222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9991\/6658 + -2\/3329. Put 3, -0.002, 0.5, n in decreasing order.\nAnswer: 3, n, 0.5, -0.002","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -36. Suppose q = -z + 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: Let b = -1\/153 - -2\/17. Let p(f) be the second derivative of 1\/45*f**6 + 0 + 1\/63*f**7 + 1\/3*f**2 - 2*f - 1\/15*f**5 + b*f**3 - 1\/9*f**4. Solve p(n) = 0 for n.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 25*w**5 - 1335*w**4 - 5565*w**3 + 346675*w**2 + 704580*w + 353700 = 0.\nAnswer: -15, -1, 18, 262\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6692625 and 5052375?\nAnswer: 10125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -53*m**2 - 3*m + 822. Give c(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*8\/4)\/(-2 - 10)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**3 + 222*v**2 + 5*v**3 - v - 204*v**2 in the form u*v**3 + y + s*v**2 + x*v and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.31 - -0.41. Which is the third biggest value? (a) -1 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 119 + 151. Let t = 253 - m. Let y(f) = 6*f**3 - 3*f**2 + 2*f. Calculate the remainder when t is divided by y(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4941 and -26\/26487?\nAnswer: 1615707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 978171 by 444.\nAnswer: 326057\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-1 - -9)) + (-94 - -91) + 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11381 - -45523\/4. Let s = -9.11 + 0.11. Let y = -5 - s. Which is the closest to -2\/5? (a) y (b) u (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/1*15. Suppose -68 - 8 = -j*z + 3*t, 0 = z + t - 20. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267552*b**3*p**3 + b**2*p**3 + 175*b**2*p**2 - 111*p wrt b?\nAnswer: 1605312*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 68562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/101, 4, -1\/2, -3, 0.1 in ascending order.\nAnswer: -3, -1\/2, 0.1, 17\/101, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4\/3 + 1489*c**3\/3 - 1496*c**2\/3 - 2980*c = 0. Calculate c.\nAnswer: -1490, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 3:48 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 12, 14, 16?\n\"Answer: 2*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757560454 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253084 and 6014.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 15*q**2 + q - 1. Determine r(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from oiw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26325064 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9156.521l?\nAnswer: 9156521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {x: 1, w: 1, m: 2, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 43.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*z = -20, -i - 8 + 2 = z. Let l = 3\/4162 + -8375\/70754. Which is the nearest to i? (a) l (b) 5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, -0.5, 3\/2, 1246?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - c - 94 = 0. Differentiate -c + 25 + 5*h**3 + 11 wrt h.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5, -0.11, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1790463 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 47.5. What is the fourth biggest value in -0.4, 4\/7, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 82415, 4.3, -3 in increasing order.\nAnswer: -3, 4.3, 82415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2369, -9445, -21209, -37637, -58705, -84389, -114665?\nAnswer: -149509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 1. Let d be 3*(10\/(-6) - -2). Let y = 0 + d. Let x be a(y). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + p**3 - 3*p**3)*(-1 - p + 1 + (-p + 4 - 4)*(-1 + 1 + 2) + 2 - 2 + 2*p - 3*p + 0*p - p).\nAnswer: 15*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120331 - -223011?\nAnswer: 102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Suppose -b = l*b - 348. What is b rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 30 = 10*s - 12*s, 30 = 3*a - 3*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*y + 5, 0 = 3*y + y + 2*l + 2. Suppose -2*q - y*q = -16. Suppose -4*n + 2*z + 12 = 0, -q*z + 0 + 2 = 5*n. Solve -c + n = g, -5 = -4*g + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2. Let n(r) = -2*r + 3. Let j(w) = w - 3 + 13*w - 19. Let l(y) = -6*j(y) - 44*n(y). What is l(k(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34771 and 39617358.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 2*p - 2*p + (-4*p**2 + 0*p**2 + 3*p**2)*((3 - 5 + 4)*(0 + 1 + 1) + 2 - 2 - 1).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-10))\/(5\/1825). Let z be (6 + -5)*2\/(-1). Does 26 divide 3\/(3*z\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159120 by 680.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25136392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*p - 325*p + 46 + 12 = 0. Let k(o) = -o**3 - 6*o**2 - 4*o - 1. What is k(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a milligram in micrograms?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 17*u**4\/4 + 4*u**3\/3 + 2*u**2 + 4*u - 448. Let g(t) = -t**3 - t**2 - t - 1. Determine 4*g(o) + r(o).\nAnswer: 13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -55060\nAnswer: 1\/5506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -461?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -511\/8. Calculate the common denominator of a and 56\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1530 and 2?\nAnswer: 1532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237 and 1058565319.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 2*y**2 + 4*y + 6. Suppose -85*c + 3*t = -81*c - 13, 3*c - 5*t - 29 = 0. Calculate q(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*b - 24, 3*i - 4*i + 20 = 4*b. What is the third derivative of 16*l**2 - l**2 - 4*l**2 + 10*l**i wrt l?\nAnswer: 240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201200120020 (base 3) in base 13?\nAnswer: 1074c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from {v: 4, i: 1, l: 1, h: 2, c: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.55 (b) 2 (c) -150079 (d) 1 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, 1\/4, -2\/7, -102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccxixx. What is prob of sequence xxc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 2*h + 62. Suppose 145 = 20*j + 5. Calculate the remainder when h is divided by 1\/((-4)\/(-8)*2\/j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/126)\/(12\/42)*27\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6\/7))\/(i**(-1\/4)\/i) assuming i is positive.\nAnswer: i**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + (-7 - -2) - -2) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkffkkdkkzhh. Give prob of sequence fd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t\/((t**8*t)\/t)*t)*t**(-6)*(t*t**(2\/11)*t)**(-34) assuming t is positive.\nAnswer: t**(-805\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4109246 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 2*s - 8. Find the third derivative of 3*n**4 + 2*n**s - 2*n**2 - 2*n**4 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9352*y = -9632*y + 16240 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k**4 - k)*(-1081*k + 838*k + 820*k).\nAnswer: 1154*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**5 + 4*i**4 - 4*i**3 - i**2 - 3*i. Let u(k) = k + 7*k**3 - k**4 + 6*k**3 - 12*k**3. Let l(j) = p(j) + 3*u(j). Factor l(t).\nAnswer: t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*m**3 - 191*m**3 + 66*m**3 + 64*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**6 + 3944742*a**3 - 4009*a**2 - 786?\nAnswer: -600*a**3 + 23668452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 2:49 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3600 and 288.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 14*f**2 + 11*f + 16. Determine a(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311913 and 378?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2640)\/(-72))\/11 + (-39)\/12. Put h, -2, 2\/73, 2\/13 in ascending order.\nAnswer: -2, 2\/73, h, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -219503 and 23747.475.\nAnswer: -195755.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10166, -10806, -11446, -12086, -12726?\n\"Answer: -640*c - 9526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3363 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -50600, 0, -18 in decreasing order.\nAnswer: 0, -18, -50600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70630235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j + 8*j**4 + (-262*j + 285*j + 784*j)*(4 + 1 + 2*j**2 - 3 + j**3).\nAnswer: 815*j**4 + 1614*j**3 + 1614*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2145*f**2 + 221. Let l(h) = -58*h**2 - 6. Give -221*l(x) - 6*o(x).\nAnswer: -52*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 3*j**2 + 9*j + 7. Let f be 5 - (7 + -2) - -5. Let m be x(f). Factor 1\/3*y**3 - 4\/3*y**m + 5\/3*y - 2\/3.\nAnswer: (y - 2)*(y - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 22 - 2 = 0. Let y(w) = -w**4 + 3*w**2. Let g(c) = -4*c**4 + 10*c**2. Let j(r) = n*y(r) + 3*g(r). Find the third derivative of j(h) wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1330, 2657, 3996, 5353, 6734, 8145, 9592, 11081?\nAnswer: 12618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31042861 a multiple of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-seven halves of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397583972 is divided by 3133.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/64)\/((-3)\/(24\/388))\nAnswer: 1\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*p**6 - 1909905*p**3 - 17668482*p**2 wrt p?\nAnswer: -4320*p**3 - 11459430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (6 - (2 - (2 + 1)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 15*m**3 - m**2 - 12*m**2.\nAnswer: m**3 - 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 4*j - 1. What is the lowest common multiple of 0 + (5 - (-7 - 7 - -9)) and k(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2904, 0, -0.5, 2?\nAnswer: 2904","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-50)*15\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8 - 10. Suppose d - w = -2. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 519 + -530. Let b(k) = 15*k + 207. What is the units digit of b(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2463540, 4927071, 7390602?\nAnswer: 9854133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 5985 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h**(-3\/2)*h*h))\/h))**(-3\/4)\/(h*(h*h*h*h**(-1\/2)\/h)\/h*h*h*h*h**(4\/5)\/h) assuming h is positive.\nAnswer: h**(-217\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 192. What is x(36)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/54*(-3)\/(-20). Let x be 9\/15 - 2\/10. Let a = -1 + -4. What is the nearest to x in 0.5, a, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/335988 and 47\/21.\nAnswer: 2351916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -78. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53 - -1153?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -481, -960, -1435, -1906, -2373, -2836, -3295?\nAnswer: -3750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47213, -47175, -47067, -46853, -46497, -45963, -45215?\nAnswer: -44217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 56548 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/4 of a litre?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 187, -1, -0.05, 1 in decreasing order.\nAnswer: 187, 1, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of 0*o + 1\/2*o**2 + 1\/3*o**3 - 3. Find the second derivative of q(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence debe when four letters picked without replacement from {d: 2, e: 2, b: 6, k: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 3:32 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from nhqwiriqhhqqhnnhnh?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let s(r) = 15672310*r**2. Calculate c(s(d)).\nAnswer: -15672310*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.017618 centimeters in millimeters?\nAnswer: 90.17618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 160\/7*i + 208 + 4\/7*i**2.\nAnswer: 4*(i + 14)*(i + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1285 is divided by 129.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let c be n(3). Suppose 0 = p + c*p - 12. Solve -p*q + 0*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 22*l\/5 + 48\/5.\nAnswer: 2*(l - 8)*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6*a**2 + 10*a - 7. Let d be s(6). Let y(j) = 8*j**2 + 299*j - 4. Let m be y(-38). Let t = d - m. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/5, 1.66, 4\/7, 43?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 0.5 (b) -15 (c) -5 (d) -3\/5 (e) -4\/75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 5*j - j)*(44*j - j + 10*j)*(0 - 1 - 2) to t*j**2 + i + g*j and give t.\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/9, -360, -5, -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 20 = -5*p - 6*n, p = 3*n - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -320.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6))\/m**(-5))\/(m\/m**(-7)*m\/(m\/(m**(-3)*m)*m*m))*((m\/((m**(-2\/7)*m*m)\/m))\/m)**23*(m**(-6)*m)\/(m*m**(-1\/8)) assuming m is positive.\nAnswer: m**(-801\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g**3 - g**2 - g + 1. Let r(v) = -18*v**3 + 6*v**2 + 3*v + 49. What is 5*a(s) + r(s)?\nAnswer: 2*s**3 + s**2 - 2*s + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 103*a**6\/120 - 571*a**5\/60 + 466*a**2. Find the third derivative of x(f) wrt f.\nAnswer: 618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 53*c = 459 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 189 = 4*t, -217 = -5*j + 3*t - 0*t. Suppose -1 = -j*f + 40*f. Solve q + 6 = f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + -1 + sqrt(11) + 3*(sqrt(11) - sqrt(55)\/sqrt(5)) + (sqrt(891)*1*-3 - sqrt(891))*1)**2.\nAnswer: 70*sqrt(11) + 13474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let y = -6 - -4. Let w be 2\/((-5)\/(5\/y)). Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(187)*-2 - sqrt(187))\/((sqrt(121)*2)\/sqrt(11)).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*y**2 - 514*y**2 - 1 + 1.\nAnswer: -1230*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*d - 908, d - 4*n = 220 - 48. Suppose -9*k - 41*k + 1800 = 0. What is the greatest common divisor of d and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514178?\nAnswer: 2, 7, 19, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*l**2 - 134*l**2 - 4*l + 4*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 + 0.05. Let l = -2363\/9 + 263. Which is the closest to s? (a) -4 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -4 (c) -2\/5 (d) -0.231 (e) -4\/3 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/73627393 and 47\/3201191?\nAnswer: 73627393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 24968b8?\nAnswer: -24968b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 16. Let v be ((-9 - -7) + 5)*(-62)\/(-6). Let r = z + v. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4725 - 9659\/2. Which is smaller: -106 or n?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-11)\/(66\/24))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/(-4))\/(-9) - -1022. Suppose 0 = p + d - q, -3*d + 0 = -6. List the prime factors of p.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 132, 5, 0.2, 1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3 (c) -3.3 (d) 0.05 (e) 8\/3 (f) 0.4 (g) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 1. Let o = -12 + 22. Let j be 6\/o*(13 - 3). Suppose -18*x + 13 = -5*x. Let d(p) = p**3 + p**2 - 7. What is j*t(v) + x*d(v)?\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265*l - 505*l + 80073 = 146*l + 355*l for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*s**3 + 0*s + 2 - 3 + 254*s**3 - 4*s**3 + 2*s to the form w*s**2 + f*s**3 + x + u*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -382 divided by -2198628.\nAnswer: 191\/1099314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16151.38m to micrometers.\nAnswer: 16151380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 332, -2, -2\/5, -6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-47 - -1) - (-7 - ((-24 - -8) + 9))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(18) + 1 + 4 + sqrt(2) + 1)**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/60 and -31\/5720.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 7*t = -70. Suppose 4*x = s + 3581, 2*x - 17*s = -t*s + 1793. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 2*a, d = -a - 3*a - 4. Let t = d + -14. Suppose 0 = 2*s + 4*n - 84, n = t*s - 3*n - 68. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477*o**2 + 281*o**2 + 562*o**2 - 262*o**2 - 78*o**2.\nAnswer: 980*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - (11 - (-1 + 21)) - (90 - 82)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/10758 and -49\/2934.\nAnswer: 32274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 2\/19, 2\/13, -650?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*p - 252 = 0. Let d(a) = 57*a**2 + 12*a + 5. Let z be d(-2). Let b = z - 181. Calculate the highest common factor of b and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -15. Let d be 27\/(-18)*(-8)\/h. Let n = 247 + -246. Solve d*x - n = 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g - 288 + 18*g - 2*g + 288.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*z + z. Suppose -x + 10*d - 5*d - 50 = 0, -x + z*d = 46. Let y be 2\/10 - 6\/x. Sort -5, 5, y.\nAnswer: -5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*h + 3*q + q, -4*q - 16 = -h. Let u = -13 + 18. Let d = u - 1. Solve d*p - y = p, 7 = h*p + y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 - 5878*t + 5728*t - 2*t**2 + 1008 = 0.\nAnswer: 8, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w - 4225 = -109*w. What is the highest common factor of 50 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 + -59. What is the closest to 3 in 5, w, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 21 = 2*q - 2*i, 0 = -q - 5*i + 15. Calculate the greatest common divisor of 430 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1280999483?\nAnswer: 1280999483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 + 0.01. Let a = -0.34 + 1.34. What is the third biggest value in 0.5, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -0.02, 116559, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 119*i**2 - 39*i + 18. Let h(z) = 59*z**2 - 18*z + 8. Give -13*h(n) + 6*y(n).\nAnswer: -53*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (98\/(-126))\/((-27)\/(-243))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2245.780836 + -2245.7. What is h rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1882 in 1\/6, 3, -25\/4, -2, 0, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488) + -1*sqrt(7488) - sqrt(7488) - sqrt(7488))*6 + 4*(2*sqrt(7488) + sqrt(7488)))\/(sqrt(128)\/sqrt(2) - sqrt(16)\/sqrt(4)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5511 + -1199.\nAnswer: -6710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38931*w**4*y**2 - 50*w**2*y**2 + 5406*y**2 + 988*y with respect to w.\nAnswer: -155724*w**3*y**2 - 100*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, -1, -5 in ascending order.\nAnswer: -206, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of 7\/3*o**3 + 0 - 247\/210*o**7 + 0*o**5 + 0*o - 1\/6*o**4 - 242*o**2 + 0*o**6. Find the second derivative of k(f) wrt f.\nAnswer: -2964*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -726, 19, 1072, 2433?\n\"Answer: 154*x**2 + 283*x - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57714 + -19585. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 - 3*l**2)*(2*l + 2*l - 2*l) - 21*l**3 + 22*l**3 + 34*l**3.\nAnswer: 31*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s - 3. Let a(h) = -2*h + 1. What is 9*a(t) + 2*c(t)?\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t + 4*t + (-6*t + 3*t + 2*t)*(9 - 23 + 5) - 2*t + 3*t + 2*t)*(2*t - t - 3*t).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1541*u + 667 + 1508*u - 669.\nAnswer: -33*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 12537*i**3 - 4*i**2 - 24*i + 9998. Let d(o) = 12536*o**3 - 5*o**2 - 30*o + 10001. Let g(c) = 4*d(c) - 5*r(c). What is the derivative of g(u) wrt u?\nAnswer: -37623*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((6*(sqrt(51)*2 + sqrt(51) + sqrt(51)))\/(sqrt(3) - 1*sqrt(300)))**2*-6.\nAnswer: -4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 2*z + 3*z + 4*x, 5*z - 6101 + 6031 = x for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6833 + 110?\nAnswer: -6723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5532000 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2095046.1 milliseconds to hours.\nAnswer: 0.58195725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5259857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 15 = -6*h + h, -2*k - 8 = -5*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = -60*q. Factor 0*m + q - 3\/4*m**4 + 9\/2*m**3 - 27\/4*m**2.\nAnswer: -3*m**2*(m - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -z**4\/4 + 3*z**2\/2 - 2*z + 15. Solve d(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of -14*c - 3\/2*c**2 + 0*c**3 + 108 + 3\/2*c**4. What is the derivative of v(u) wrt u?\nAnswer: 18*u**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -18355176?\nAnswer: -11\/18355176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37171 rounded to two dps?\nAnswer: -1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55376.95 millennia in months?\nAnswer: 664523400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -979 by 2031.\nAnswer: -979\/2031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.42686902290387 take away 4?\nAnswer: -2.57313097709613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/k**(-10\/9))\/((k*k**14)\/k**(-1)) assuming k is positive.\nAnswer: k**(-251\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 0. Let m(w) = -w**2 + 5*w - 4. Let q be m(4). Suppose -5*t + 2*t - 15 = q. Sort 1, t, y in descending order.\nAnswer: y, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/81)\/((-70)\/15 + 4).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -163 - -135. Let p = -29 - o. What is the closest to p in 1, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43217493 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-16))**(-34) assuming x is positive.\nAnswer: x**544","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - 1.6. Let l = d - -2. Let f = 0 + 0.1. Which is the closest to 2\/11? (a) l (b) -3\/2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.257, 95, 0.2, -3\/44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 55. Let y(n) = 76*n**2 - 2*n - 4. Let z be y(o). Suppose 6*t - 10*t = -z. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 + -1.6. What is the second biggest value in 2\/3, 0.1, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 188?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a week in hours?\nAnswer: 2408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 573489, 2293934, 5161329, 9175668, 14336945?\nAnswer: 20645154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 120*h**2 + 35. Let l(t) = 43992*t**2 - 5 + 3 - 43999*t**2. Let r(n) = -n - 3. Let d be r(-1). Calculate d*p(i) - 35*l(i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.99 + 19. Round k to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 1056?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-2)\/(-56))\/(12\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 117*j**3 + 57*j**3 + j + 56*j**3 as y + f*j**2 + m*j + u*j**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178968778 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -767 + 795. Let j = 3 - -4. Is 32 a factor of 12\/z + 326\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, p: 2, k: 1, a: 4, t: 3, h: 3}. What is prob of picking 3 t and 1 p?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(-6*q + 0*q + 2*q) + 64*q - 36*q + 31*q + 0*q + 2*q - q to the form a + i*q and give i.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - (6 + -4)) - (-79 - (73 + -161)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 10*g**2 + 12*g + 15. Let w(r) = -r**3 + 9*r**2 + 12*r + 14. Let s(u) = -4*p(u) + 3*w(u). What is the least common multiple of s(14) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 5*r = -36. Let u be ((-9)\/(-6))\/(r*2\/24). Is (-3522)\/u*(-12)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupiipppuuipu. Give prob of picking 3 p.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1539) + (sqrt(1539) + 2 - sqrt(1539)))**2 - (sqrt(1539) - (4*(-4*sqrt(1539) + sqrt(1539)) + sqrt(1539))).\nAnswer: -144*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10637848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -440, -499, -580, -701, -880, -1135, -1484?\n\"Answer: -3*m**3 + 7*m**2 - 59*m - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 3202177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -214, -25, -2, -4, -57, -1 in decreasing order.\nAnswer: -1, -2, -4, -25, -57, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*j = -30 + 11, 3*j = -6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-60)\/150 + 807\/5 - 6 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764*s**3 - 1592*s**2 + 1592*s**2.\nAnswer: -764*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 8. Factor -3*f**4 - 8*f**3 - 14*f**3 - a*f**2 + 4*f**2 + 21*f**3.\nAnswer: -f**2*(f + 1)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*x**2 - 212\/9*x + 5618\/9.\nAnswer: 2*(x - 53)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -1. Let f(p) = -408*p**2 + 7. Determine -2*f(d) - 14*l(d).\nAnswer: 816*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/((-4)\/(-4)*-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434 and 96844?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 0)*(1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 11. Let q be n(8). Let o = q - 1. Suppose 8 = 4*r - 6*l + l, r = 3*l + o. Solve 4*m - 4 = r*j, -3*m = 3*j - 2*j - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17375.5 to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7926 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + -3.2. Let q = -0.9 - t. Which is the nearest to -1? (a) -5 (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l. Let x(r) = -r - 3. Let b = 122 - 124. Let q(u) = b*a(u) - x(u). Suppose 0 = -5*t + 4*g + 30, t - 2*g = 5*t - 24. Calculate q(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, 107, 505, 1141, 2063, 3319, 4957?\nAnswer: 7025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 434504131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 37 = 2*p + 3*p, 2*p - 41 = -5*v. What is the remainder when 754 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - 1)*(-3)\/9. Suppose 3*m = 2*i + u, -3*i - 2*m - 10 = i. Which is the third biggest value? (a) -2\/3 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 5*a - 40, 0 = -40*a + 36*a - 5*w + 37 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1463463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.37 + 0.14. Let f = 1.01 - v. Let t be 12\/(-20)*(-2)\/(-2). What is the second biggest value in -0.3, f, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*c - 54 = -195*c. Calculate the highest common factor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 4*g - 6. Let h be o(4). Let d(w) = -24*w**2 - 5 + 11*w**2 - 9*w + 6*w**2 + 6*w**2. Determine d(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 1, q: 1, v: 1, j: 2}. What is prob of sequence jgv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 972 divided by 3\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 7*u**2 - 9*u. Calculate b(-4).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 13*x**2 + 2*x + 13. List the prime factors of l(6).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 10, -2, -22?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, 1\/5, 0.1, 4\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = -309*d + 306*d + 84, 6 = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27489 and 1634941.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 19) + (-12 + 1 - 84) - -4?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62*(-3)\/(-6) + 1. Let c = m + -16. Let t be 1\/(-4) - (-36)\/c. Solve y - t*y = 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*0.4.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/7)\/b)**(-39)\/(b\/(b*(b*b**(3\/4)*b)\/b))**(-1\/34))**(-5\/9) assuming b is positive.\nAnswer: b**(-158875\/8568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 42*o + 45. Let j be z(41). Suppose k - 6 = 3*s, 19*k + 2*s = 15*k - j. Solve k = -4*d + 12 - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289214946 times 0.4?\nAnswer: 115685978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190741, -190792, -190843, -190894?\nAnswer: -190945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 2 - 2)*(-u**2 + 3*u**2 + u**2 + (5*u - 3*u - 3*u)*(2 - 2*u - 2)).\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**3 - 3*r**2 + 3*r - 3. Let a(p) = -2*p**3 + 2*p**2 - 2*p + 2. Let c(t) = 5*a(t) + 3*v(t). Let g = 5 + -4. What is the units digit of c(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*p - 3. Calculate the remainder when 4 + -7 + 44\/p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1152697 is divided by 173?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 43.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6968230, 13936460, 20904690, 27872920, 34841150?\n\"Answer: 6968230*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*n - 458 = 180 + 994. Let o be 1 + -1 + 6*2. What is the greatest common divisor of n and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 1:52 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 23) + (-4 - 2) + 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4613 is divided by 2096.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, -631, -2613, -6435, -12703?\nAnswer: -22023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 568577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*b - 2*b. Suppose s - b = 1. Let r(u) = 2*u**s + 1 - 5*u + 8*u - 3*u**2. What is r(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57.6 - -58. What is the closest to -2\/7 in -2\/11, -2\/5, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = -3*k. Let p be 2\/(-4)*k*4. Let r(v) be the third derivative of -v**6\/120 + v**5\/60 - v**4\/12 + v**3\/6 + 48*v**2. Calculate r(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 2922957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 25*o**3 + 0 - 24*o**3 - 3*o**2 - 3*o as z + f*o**2 + p*o**3 + n*o and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-3))**(-1\/7)*d**(-2\/13)*d\/(d*d**(-4)) assuming d is positive.\nAnswer: d**(376\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -8, -0.1, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 - 4 + 0*p**2 + p**2 - 4*p. Let o(h) = h**2 - h - 1. Let v be (7 + (-180)\/27)\/(4\/(-12)). Calculate v*s(f) + 4*o(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**2\/7 + 1040*k\/7 + 67600\/7 = 0. What is k?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51907 is divided by 89.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -136.191058 rounded to zero decimal places?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - j - 6*j - 4.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.7412 + -12.56. Round b to 2 dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 17\/(-3)*(-1 + -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -69 greater than 228.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(363)*-5 + (sqrt(363) - (sqrt(363) + (5 + sqrt(363))*-3 - sqrt(363))) - (sqrt(363)*5 + sqrt(363) + 1 + sqrt(363) + 1 + -5 + sqrt(363)))**2.\nAnswer: 2376*sqrt(3) + 13392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(11\/4)\/o)\/o)\/(((o**(-7\/6)\/o)\/o)\/o)*o*o*o**(12\/7)*o*o**(-9) assuming o is positive.\nAnswer: o**(53\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14234)\/55)\/((-6)\/5)*9. Suppose -3*r + 4*j = -1926, 0 = 3*r - 2*j + 3*j - v. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26388 and 114?\nAnswer: 501372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 4:21 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrur when four letters picked without replacement from {n: 1, u: 2, v: 6, r: 4}?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2 + 2*o - 2. Let k be f(-2). Solve 3*i + 2*r = -0*i - k, 2*i + 2*r = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492*i = 499*i. Sort 2, -40, i in descending order.\nAnswer: 2, i, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 40*t**2 + 24*t**3 + 127*t**4 + 118*t**4 + 125*t**4 + 119*t**4 - 487*t**4 = 0.\nAnswer: -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*j**5 - 17*j**3 + 5813*j wrt j?\nAnswer: 1020*j**3 - 102*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -40*4\/512*2\/5\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-415)\/(-175))\/(3\/21*6) and -37\/135?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/(-96))\/((57\/57)\/(89\/1)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -116300, -232610, -348922, -465236, -581552, -697870, -814190?\n\"Answer: -j**2 - 116307*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/21)\/((-64)\/56). Which is the nearest to 0.19? (a) 0.4 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 25 = 5*r, -4*x + x + 9 = -3*r. Suppose x*g - 24 = 12. Let p(o) = -5*o**2 + 3*o**3 + g + 2*o - 4*o**3 - 4 + 6*o. What is p(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {i: 4, r: 5, v: 8, o: 1}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -41*f + 2. Is 42 a factor of u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*x**2 - 101*x**2 - 359*x**3 - 89*x**3.\nAnswer: -448*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - k + 3*k - 7*k - 7*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b51a (base 14) to base 16.\nAnswer: 10fe4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = 2*q + 15, -5*k - 5*q = -185. Let m = -34 + 42. Suppose -k = 6*o - m*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 416*s**3 - 163*s**3 + 2 - 2.\nAnswer: 253*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3279888987 to the power of 1\/3, to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.3 + -81. Let v = 7 - u. Which is the nearest to -0.1? (a) 0.5 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 9 = -155. Let f = r - -38. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 31 (c) 8 (d) -32 (e) 2 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841502681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i + 15. Calculate the remainder when (4\/(-6))\/(6\/(-711)) is divided by y(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-18))\/(-3)*-1*22.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 26, 47, 76, 113?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*a + 411 - 81. Calculate the remainder when 1229 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {d: 2, v: 1, w: 1, q: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008)*1*6 - 3*(sqrt(1008) + sqrt(1008) + 3))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-6) - (-3)\/(-9). Suppose -7*k + 16 = -d*k - 4*z, 3*k = 2*z + 10. Solve 0 = -3*t + 12, 14 = k*c - t + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 12:25 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*r - 7*r + 190, 3*r + 4*z = 88. Let u = 58 - r. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -999, 0, -0.2, 0.01 in descending order.\nAnswer: 1, 0.01, 0, -0.2, -999","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 254756\/2875 and 88 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 6:44 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -3. Let h = -0.47 + -3.43. Let g = h + -0.1. Which is the nearest to -1\/4? (a) f (b) -4\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 967467.2 decades?\nAnswer: 96746.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 385 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 39, 76, 133, 204, 283?\n\"Answer: -f**3 + 16*f**2 - 4*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -0.12, -2, 14.97?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 179831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 - 3*n - 8. Let p be f(5). Solve -2*y - 5 = 4*k + 5, -p*k - 1 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 301\/447, 0.5.\nAnswer: -2, 0.5, 301\/447, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 1039 = 1349. Let l = -69 + q. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k. Let c(n) = n**2. Let p be c(2). Suppose i - 23 = -5*l, p*i - 4*l - 2 + 6 = 0. Let x(a) = -i + 3*a + 4 - 1. Calculate v(x(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -15*x - 11. Let b be h(5). Let c = -48 - b. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - 2.345.\nAnswer: -2.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3602 rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1252040 by 554.\nAnswer: 2260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93392472 divided by 3.\nAnswer: -31130824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*b + 2 + 8*b - 6*b + 2*b + b - 2*b + (-2 + 2 - 2*b)*(2 + 2 - 5) + 0*b + 0*b - b.\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 - -285. Let v(a) = -a**3 + 5*a**2 - 2*a + 9. Let l be v(k). Let r(f) be the third derivative of -7*f**4\/12 - f**3\/6 + 4*f**2. What is r(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l = 9. Suppose -2*z = -9 + 1. Suppose s - z*s = -l. What is the lowest common multiple of 11 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 - 8. Let u(k) = k**2 - 5*k - 4. Let y be u(4). Let q be s(y). Suppose 0 = 5*i - 446 - q. What is the greatest common divisor of i and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11619.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, -64, -88, -84, -52, 8, 96?\n\"Answer: 14*j**2 - 94*j + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.11012731 to 2 dps.\nAnswer: 9.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/10 - 13*p**4 - 401*p**3\/10 + 127*p**2\/5 + 794*p\/5 + 532\/5 = 0.\nAnswer: -2, -1, 2, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 13008*c - 38878. Calculate x(3).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/(6\/(-9)). Let d be ((1 - -2)\/(-1))\/(-1). Factor -3*u + 2*u**h + d*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-468)\/(-45) + (-4)\/10. Let x = 30 - 20. Let u = 13 - x. Solve -h = -u*v + v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 0, 2*m + 3*m = -n - 6. Suppose -2*o - 2*y = -n, -2*o + 2*y = 3 - 19. Let c(u) = -u**3 + 5*u**2 + u - 7. Calculate c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.35 + 27.351818. What is p rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1321?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -272633 and -2453689\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = -0. Let a = -0.6 - -0.1. Let w = -14.86 - -7.86. What is the third smallest value in o, a, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -567 - -938. Suppose 4*z = -3*y + 1424, 4*y + k = z + y. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w + 31*w + 2*w**2 - 5*w.\nAnswer: 2*w**2 + 45*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 134971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 + -2.7. Let o = 1747\/7 - 250. What is the second smallest value in 2, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**4 + 54*g**2 - 21*g**4 + 1 + 19*g**4 + 5*g**4 + 2 - 3*g in the form o*g + v*g**3 + d + j*g**4 + t*g**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 232259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0*w + 24 + 1\/90*w**5 - 2*w**2 - 2\/9*w**4 + 1\/180*w**6 - 4\/3*w**3. Determine u so that s(u) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2632 - -2632.02. What is the nearest to -0.058 in -1\/2, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*g - 47*g - 47*g + 168*g + 8*g - 47*g.\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - j = 14, -15512*j + 15517*j = -y + 8 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(5\/4))**(-1\/22)*(v*v**11)**(9\/5))**(-7\/2) assuming v is positive.\nAnswer: v**(-66353\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 520*g - 16416.\nAnswer: -4*(g - 76)*(g - 54)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**(1\/3)*o\/o**(-9\/8) assuming o is positive.\nAnswer: o**(67\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 15}. Give prob of sequence ayy.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z + 4*o - 10, 0 = -o + 14 - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.09 + -2.03. Let j = 10.6 - 12.66. Let u = j + g. Sort 1, -2\/9, u.\nAnswer: u, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 154 and 1278398?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285.2 + -285.1. Let l = -17.7 - 1.3. Which is the nearest to q? (a) 0 (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*o - 9913 + 9443 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 275.67 and -1?\nAnswer: -275.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 11:37 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34712.\nAnswer: 2, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13539*n - 568639. Determine v(-42).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/40)\/((-9)\/54). Let p be 12*(-2 - 22\/(-8)). Let z(t) = t**3 - 8*t**2 - 10*t + 9. Let b be z(p). Which is greater: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = j - 7*s + 9*s, 3*j + 4*s = 13. Is j less than or equal to -1\/404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2 = 50. Let y(w) = -2*w**2 + 14*w + 40. Let g be y(9). Calculate the greatest common factor of g and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in -5, 2\/3, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -39?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = 28*m - 272. Calculate the highest common divisor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.82123\nAnswer: -9.10615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2068 divide 472705851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b163 (base 12) to base 9.\nAnswer: 270433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:30 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25306 - 25291. Solve 0 = y*j - 12*j - 24 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 5*d + 2. Let c be k(3). Suppose -c*n + 198 = n. List the prime factors of n.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/23)*(l**1\/l*l)\/l)\/(l**1*l)**(-46) assuming l is positive.\nAnswer: l**(2118\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 - 140. Let x be q - (-2 + (-55)\/(-65)). Which is the nearest to 0.3? (a) -2 (b) -1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/112 - (-92)\/32 - -1. Solve -3*i + 5 = a - 2*i, g*a + 3*i = 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247818901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 40. What is the remainder when 158 is divided by i(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 1085 + 4*k**2 + 1060 - 2286)*(2*k + k - k).\nAnswer: 8*k**3 - 6*k**2 - 282*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*k**3 - 19795*k**2 + 56970*k + 5895.\nAnswer: 5*(k - 393)*(k - 3)*(10*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -357417.210529?\nAnswer: -357416.710529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose -4*z = -m - 169, -1 = m - u*m. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/s**(1\/3))**(-1\/4)*s*(s**5*s)\/s*s\/((s*(s*s*s**7)\/s*s*s*s*s)\/s) assuming s is positive.\nAnswer: s**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 16) to base 11.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-8) - (-1)\/(-2). Let m be (z\/(-30))\/((-1)\/(-3)). Does m = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2070\/55967?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301 is divided by 93?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 14\/3*i**3 + 0*i**2 + 0*i**5 + 0*i**4 + 0 + 95*i - 11\/6*i**6. Find the second derivative of m(x) wrt x.\nAnswer: -660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13507728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**2*v*v)*v)**(3\/10))**(-10))**29 assuming v is positive.\nAnswer: v**261","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 262524*k**4 + k**3 + 11*k**2 + 297446456*k wrt k?\nAnswer: 3150288*k**2 + 6*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -57 - -96. Let p = c + -36. Find the second derivative of 7*v - 4*v + 4 + 36*v**p - 2*v - 5*v**3 wrt v.\nAnswer: 186*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**2*j**3 - 2*g**2*j**2 + g**2 + 5*g*j + 15*j**3 + 44*j**2 - j - 184 wrt j?\nAnswer: 30*g**2*j - 4*g**2 + 90*j + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(6\/16*1). Suppose 42 = 10*x - 68. Let n = x - c. Solve -4*g + j = -n*j - 16, 0 = -5*g - j - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.18 - -1.82. Which is the third smallest value? (a) -8 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 5*w**2 - 2*w - 15. Does 19 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715936 at most as big as 715936?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 2, 102, 274, 518, 834, 1222?\nAnswer: 1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 3:07 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**7\/210 - s**6\/120 + s**4\/12 - 8*s**3 + 3*s + 3. Let t(f) be the second derivative of n(f). What is t(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 1137830*n - 64732855445.\nAnswer: -5*(n + 113783)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 8*j**2 - 2*j - 14. Let h be u(-8). What are the prime factors of (-52)\/117*3\/h*-183?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 + 0.5. Let h = 4\/35 - -159\/140. What is the nearest to 2 in g, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**3 + 16*f**2 + f + 7. Let l(i) be the third derivative of -i**6\/40 - i**5\/12 - i**3\/3 - 1736*i**2. What is -2*g(h) - 7*l(h)?\nAnswer: 3*h**3 + 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f - 95 + 41 + 0*f + 50. What is g(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -2*o**3\/3 - 39*o**2\/2 + 34*o + 31. Let g be t(-20). Solve -10*u + g*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*l - 2*l**3 - 2*l**3 - 5*l**3 - 4*l wrt l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114090 and 44266920.\nAnswer: 44266920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 - 68*m**3 + 21*m**3 + 15*m**3 + 19*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 46427 times -0.043\nAnswer: -1996.361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-45))\/(3\/9*10).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 20. What is o(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0*g + 1\/18*g**4 - 1\/45*g**5 - 2*g**2 + 4\/3*g**3 + 0. Factor c(d).\nAnswer: -4*(d - 3)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*20\/75*39\/(-52)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1332 (base 12) to base 11.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 123 = -146 + 209 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -161000 to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*h + 8, 3*b + 0*b + h = 12. Let m be b - 12\/4 - 5. List the prime factors of (-7)\/m*(-8)\/(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (11 + 5 + -9 - (-11 - -17)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(1088) + 3 + sqrt(1088) + -2)**2 + 4 + (sqrt(1088) - 6*(sqrt(1088) + 1*sqrt(1088)))**2 + 0 + 5.\nAnswer: -128*sqrt(17) + 136025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51415 is divided by 73.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - q**2 + q + 1. Let s be h(-1). Put s, -3, 3 in increasing order.\nAnswer: -3, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20964819 * 0.1\nAnswer: -2096481.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86195.\nAnswer: 5, 17239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4 - 10 - 3 + 7*w - w. Let v be u(13). Suppose -5*t = -3*q + v, -6*q = -3*q - t - 41. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66728 and 517142?\nAnswer: 2068568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-27))\/(1*-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -102 + -2 + -2 - 5. Let b = f + 138. Calculate the highest common divisor of b and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 217.99778. Round d to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t**2 - 2*t**2 + 4*t**2)*(-2 + 2 + t) + 10550*t**3 + 30230*t**3 - 8863*t**3 + 24857*t**3 to j + w*t**3 + m*t**2 + r*t and give w.\nAnswer: 56776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -0.5, 0.04, 2, 1\/4, 1\/222?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((162\/30)\/(-9))\/((-153)\/10). Let z = 8\/85 + g. What is the second biggest value in z, 0.3, 29?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 39180008 = 3*q, -2*q + 4*k = q + 39180016. Round q to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = -300*n + 288*n - 23. Solve n - 46 = -39*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10658196 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -301? (a) 3 (b) -235 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 204 = 0. Let n be (-14225)\/(-150) - 25 - 10\/(-36)*-3. Let z = c - n. Solve z = 4*u + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 0 + -3 - 1*sqrt(19)*2 - sqrt(190)\/(sqrt(640) + 1*sqrt(640) - sqrt(10)).\nAnswer: -16*sqrt(19)\/15 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9) - (4 - 5 - -1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 958360 and 26384?\nAnswer: 32584240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 5829 - 6*a**3 - 2924 - 2905.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2328 = 3*a - 2371, 5*a - 49 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 5, 0.1, 36, 1578 in descending order.\nAnswer: 1578, 36, 5, 0.1, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18459, 36913, 55367, 73821?\nAnswer: 92275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1250, 1938, 7304, 14854, 24594, 36530, 50668, 67014?\nAnswer: 85574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21\/46 + 1\/23. Let n = 199 - 192. What is the third smallest value in 1, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(102\/4) + (-825747)\/(-527) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-36))\/(3\/(-4)). Which is the closest to r? (a) -2 (b) 0.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1\/(-12) - (-24073)\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 47*p - 45*p + 150, 0 = -q - p + 33. Calculate the remainder when 2012 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:11 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, b: 4, a: 4}. Give prob of picking 2 b, 1 a, and 1 o.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9720313 to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 3*a - 10*k = -4*a - 185, -5*a - 177 + 8 = -2*k for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2*r, 6*f + 5*r = 2*f. Let l(s) be the third derivative of -s**2 + 0*s + 1\/30*s**5 + 1\/6*s**4 + f + 1\/3*s**3. Let l(n) = 0. What is n?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118355, -118368, -118391, -118424, -118467, -118520, -118583?\nAnswer: -118656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -955321054*p**3 - 7*p**2 - 7104424.\nAnswer: -5731926324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/20919432 and -89\/8?\nAnswer: 20919432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(7\/10)\/(w*w\/(w\/(w*w**(-2)))*w)**(-5\/14) assuming w is positive.\nAnswer: w**(-12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21\/5 or 274\/50825?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 22 = -14102*x + 14104*x, 3*x + 3 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -678.255217062.\nAnswer: -678.755217062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**9\/84 + r**7\/42 + 19*r**5\/5 + 10*r**2 - 15. Find the third derivative of g(d) wrt d.\nAnswer: -720*d**3 + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11511 or 0?\nAnswer: 2\/11511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*q - j + 1014, 5*q + 2*j - 1691 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -q - 2*o + 9, q + o = 5. Suppose -q*d + 4*x + 165 = 0, d - 3*d - 3*x = -93. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v + 3*v**3 - 1 - v + 6*v**2 - 4*v**3. Let w be x(6). Let r = -399 + 404. Solve w = o + r*t, -5*o - t - 17 = 3*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/(-14))\/1*(9 + 119\/(-14)). Let f = -128\/7 - -18. Which is the closest to 1? (a) f (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 - 33*y + 3*y**3 - 35*y + 8*y to v*y**3 + t + a*y**2 + q*y and give q.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeefxxgfekkyfxek. Give prob of picking 1 k, 1 y, and 1 e.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -593 - -591.171. Let r = -0.171 + f. Put 0, r, 16 in decreasing order.\nAnswer: 16, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*m = -2*r + 372*m + 34, r - 4*m + 19 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5 - 7634976*b**4 - 4857784019688*b**3 - 58292583661440*b**2 - 174876926410800*b = 0. What is b?\nAnswer: -1272490, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 40*r + 265. Is 9 a factor of j(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/25*2*((-235)\/1786)\/(-1).\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = 43*l + 209*l - 3 + 243 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1672.987 + 1674. Let x = -0.013 + n. What is the biggest value in x, -3\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(34)\/sqrt(2)*-4 + sqrt(17) + sqrt(17)))*2 - (4 + sqrt(816)\/sqrt(3))) + 4)**2*4.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14.974 + 14.97474169. Round r to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -962 divided by 1.\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 164396430 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 1 + 3*q + 2*q**2 - 4*q. Let d(w) = 6*w**2 - 5*w - 7. Let b(p) = d(p) - 5*y(p). Is 13 a factor of b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -26101913 times 0.2?\nAnswer: -5220382.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -368, -1520, -4250, -9350, -17612, -29828?\n\"Answer: -132*n**3 + 3*n**2 - 237*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164 + 23*n - 45 + 28*n - 45 + 254 - 48*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Suppose 4*g + g - 10 = w. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6163776349 take away 1.566?\nAnswer: -6163776350.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 61850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d87 (base 16) to base 14.\nAnswer: -1395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 6*t - 5*t + 2*t**2 + 2*t**4 + 20*t - 10*t - t**3 + 0*t**2 to g + a*t**2 + l*t**3 + k*t**4 + z*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**3\/3 + 4*y**2 + 7*y + 414. Let w(g) = -g. Let n be w(1). Let z = n + 10. Calculate q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 3 - -6 - (6 + -5 + 6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**3 - 55126*r**2 - 20583*r**2 + 2 - 4*r**3.\nAnswer: 2*r**3 - 75709*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 11*i + 32. Is b(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 6554.\nAnswer: 13108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 123*g = 119*g - 28, -14 = -5*s + 2*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 35. Let x be (-791)\/(-2)*212\/371. Let m = x + -221. Let u(v) = -5. What is m*s(l) - 35*u(l)?\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 13. Let o be p(9). What are the prime factors of -2 - (-676)\/4 - o?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l + 3*l + l + (1 + 5 - 4)*(l + 0*l - 3*l) + (-2 + 1 + 3)*(-3*l + 0*l + 2*l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(14)\/(-1*sqrt(7)) + sqrt(800) + -4 + -2 + sqrt(50))**2.\nAnswer: -300*sqrt(2) + 1286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 123*y + 20*y.\nAnswer: -103*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*x - 11 - 85 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o*o**(-6)*o)\/o*o*o*o*o*o**(-2\/21)\/o*o)**(-1\/3) assuming o is positive.\nAnswer: o**(-19\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-5 - -10) + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77621518?\nAnswer: 2, 13, 2985443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or -11838?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*y - 4*q, 9*q - 30 = -4*y + 4*q. What is the remainder when (-13)\/(-1) - 2*-1 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 + 10. Let c(k) = 20*k**3 - 29. Give 6*c(t) + 17*m(t).\nAnswer: t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 1. Let m(t) = t + 1. Suppose -547*v = -548*v - 1. Give v*m(s) + z(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 2*k + k + (k - 2 + 2)*(1 + 2 + 0))*(k + 2*k + 0*k) as s*k + r*k**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -78014?\nAnswer: 6\/39007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4904, -9796, -14690, -19586, -24484?\n\"Answer: -h**2 - 4889*h - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h - 17 = -3*s, -4*h = s + 5. Suppose 5*w - 2*a - 926 = -5*a, w + s*a = 178. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1800, 1810, 1834, 1878, 1948, 2050, 2190, 2374?\nAnswer: 2608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 - 139 - (31 + -45 + 26 + -2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + 22*d**2 - d + d + 11*d**2.\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1578053 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13879 + -13877. What is the fourth smallest value in x, 0.28, 2\/5, 1, 1\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*s**2 - 3 - 33*s - 47*s**2 + 3 wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17086\/5 - 3418. Which is smaller: -0.38 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2067126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1741429 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**9\/b*b**(2\/13)*b*b)**(-2\/3)\/(b**0*b*b**3*(b\/(b*(b*b**(2\/5))\/b))**(1\/16)) assuming b is positive.\nAnswer: b**(-18841\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3)\/(y\/y**(2\/17)))\/((y\/y**2)\/(y**(29\/5)*y)) assuming y is positive.\nAnswer: y**(1679\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h - 3*h + 6*h + (10 + 17 - 6)*(2*h - 6*h + 0*h))*(1 - 2*h - 1) to the form a*h + t*h**2 + f and give t.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5024.2 - -0.0289\nAnswer: -5024.1711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -38*h + 496. Determine u(11).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95265 divided by -31755.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 3*a**5\/20 + 367*a**4\/4 + 728*a**3 + 2178*a**2 + 3353*a. Factor s(u).\nAnswer: 3*(u + 2)**2*(u + 363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 43*i + 753 = 3*t, -5*t = -25. Calculate the lowest common multiple of i and 63.\nAnswer: 5166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.121454 to three decimal places.\nAnswer: 0.121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 15*b - 12. What is the units digit of 3\/(147\/11200) - b\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*(-31)\/775*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 10*u - 20. Let o be p(4). What is the remainder when ((-294)\/(-63))\/(o\/462) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 10*c + 3. Let t be d(-10). Suppose 5*k + 5 = 0, -t*k - 222 = -2*h + 89. Let y = -865 + 879. What is the greatest common divisor of h and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 77 + 401*q - 184*q - 227*q. Determine p(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 946697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqyqqqyqq. What is prob of sequence yqq?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 180 + -275. Let p = 2352 + -2450. Let w = k - p. Sort w, 0.6, -2\/5 in descending order.\nAnswer: w, 0.6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1, -1.06, -1\/6, -9?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 41?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -59. Let a = 19.036 - w. Let l = -0.03600228 + a. What is l rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19938 or -179437\/9?\nAnswer: -179437\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1123885475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595646.\nAnswer: 2, 17, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008498 to 7 dps.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1145371\/195?\nAnswer: 1145371\/195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 v when three letters picked without replacement from vvtvttvvvvvvvvtt.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/10340, 2\/3, 2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/4 - 158205*r**2\/2 + 6256809975*r + 62576010250 = 0.\nAnswer: -10, 158210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1 + 0 - r**2 + 2 - 7*r. Let z be g(-7). Find the second derivative of -3*h - 2*h + 3*h + z*h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2680 a factor of 1265564116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -486, 1 in decreasing order.\nAnswer: 4, 1, -486","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(234) + (sqrt(26) + sqrt(26)*-1)*2)\/(sqrt(2) + (sqrt(20)*2)\/sqrt(10) + (sqrt(2) - 1*sqrt(2))*-5).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 19*m**4\/4 - 2*m**3\/3 + m**2\/2 - 30. Let d be ((-4)\/8*2)\/(-1). Determine v(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/5 in 1, 10, -3, 1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 108*j**2 - 24*j + 51. Suppose -11*z + 6*z + 10 = 0. Is 15 a factor of u(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3776 (base 9) to base 5\nAnswer: -42243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 2748*r + 265518.\nAnswer: 2*(r + 99)*(r + 4023)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -107. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -299940371?\nAnswer: 299940371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1367 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13290 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: Simplify (-2*sqrt(180)*5*-2)\/(sqrt(20)\/(sqrt(2)*2) - 1*sqrt(10)*-2).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 8*q**2 - 36*q - 13. Let u be x(5). Let i(j) = -j**3 + 2*j**3 - j**2 + j - j**2. Let w be i(1). Sort w, u, -4 in descending order.\nAnswer: u, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2845?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -3. Let s be -1 + ((2 + 0)*-25 - 3). Let m be (s\/28)\/(-9) + -1 + 1. Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from bawzaaxaazaawp?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + -5*sqrt(76)*2))**2.\nAnswer: -2560*sqrt(19) + 121856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -9 + 0 - 14 + 2*y + 1. Let h = -223 - -262. What is the remainder when h is divided by l(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 2, h: 3, x: 2, f: 4}. Give prob of picking 2 f and 1 h.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.3 + -9.2. Let n = 14 + k. Let w = n + 3. What is w rounded to 1 decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -4 + (-8 - -160 - -11) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 114\/2 - (0 + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5812531?\nAnswer: 31, 97, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) -0.092\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 23 + 47. Let x be ((-2)\/(-5))\/((-52)\/n - 5). Suppose -5*r = -x*y - 4, 0 = -2*r + 2*y + 2*y - 8. Solve -r*s - 2*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 51bb?\nAnswer: -51b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16474.68836 + -16475. What is x rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/37, 1\/7, -37 in ascending order.\nAnswer: -37, -2\/37, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17399 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 4:08 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21878 - 3953?\nAnswer: 17925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 12) to base 9\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -14. Suppose 2*n + w = c, 4*w - 12 = -0*w. Suppose k = n*b - 3*b - 156, -5*b - k + 383 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**3 + 2*f**2 - f + 1. Let o(d) = 25*d**3 - 430*d**2 + 9605*d - 32005. Let p(s) = o(s) + 5*z(s). Find l, given that p(l) = 0.\nAnswer: 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1088) + 1 + sqrt(1088)*-3 + -5 + -3 + 4)**2.\nAnswer: 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.7 - -12. Let l = -9 + 13. What is the nearest to z in l, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.0221 - -0.02479. What is c rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 309*g**2. Let b(s) = -124046*s. Determine k(b(p)).\nAnswer: 4754709725844*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 180.5998 and 19.\nAnswer: 199.5998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35703102 (base 8) to base 7\nAnswer: -123403120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -162*g**3 + 74*g**2 - 167*g + 19. Calculate c(2).\nAnswer: -1315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**3\/2 - 3*k**2 - 7*k. Let n be (-123)\/82*8\/3. Calculate y(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-93)\/248 + (-603)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 6. Let u(h) be the second derivative of -1\/2*h**2 + 0 + 19*h. Determine o(l) + 4*u(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3.09 + 1.9\nAnswer: -1.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 3*r - 12 = -4*v, -v = -4*r + 16. Solve -2*t - z - 1 = v, 16*t = 15*t + 4*z + 13 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 7:32 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 + 5*q - 15. Let y(v) = 10*v**2 + 7*v - 23. Let a(k) = 7*t(k) - 5*y(k). Let p be -9 - (3 + (1 - 3)). Let f = -10 - p. What is a(f)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2352, -16084, -53352, -125922, -245560, -424032, -673104, -1004542?\nAnswer: -1430112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*f = 2*i, 3*f = -2*i + 20. Solve -i*n - n + 15 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**3 + 10*q + 10. Calculate the remainder when 181 is divided by a(-3).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -1. Let i be (8 - f)\/(2\/94). Suppose 0 = -0*b + 3*b - i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.92 - 1.02. Let t = k - -0.1. Suppose 5*s - 9*q = -6*q, -4*q = 2*s. Which is the third smallest value? (a) t (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 2*f + 31. What is the units digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1867 - 613. Suppose -2*z + 2*n = -618, n = -4*z - 4*n + q. List the prime factors of z.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-126)\/105)\/(-1 + 46\/40). Let w be 7\/12 + ((-8)\/(-3))\/q. Is w > -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*q = 284*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 3, 8 in descending order.\nAnswer: 66, 8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39876769?\nAnswer: 29, 83, 16567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2906 is divided by 928?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*a - a - 36 - 89 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 1:52 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 1. Let r(v) = -11*v**3 - 44*v + 44. Give -44*p(m) - r(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28536*j = 28603*j - 1809 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmllfmlfmlf. What is prob of sequence mml?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 8. Let p be q(-4). Suppose p*y = 69032 - 3708. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -535 + 533. Which is the nearest to -2\/11? (a) 5 (b) -10 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -116*t**2 + 97*t**2 - 122*t**2 - 115*t**2 - 100*t**2 - 1 to v*t**2 + w + r*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**3 - 7*r**2 - 101*r + 40. What is f(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9302983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3050\/(-3660)*12\/(-135).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6038308.\nAnswer: 2, 67, 22531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 80500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9076989888?\nAnswer: 2, 3, 71, 221953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11912028677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*b - 14*b - 34*b)*(287 + 348 + 234 - 273) to the form o + l*b and give l.\nAnswer: -19072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 - 136 - 2*c - 144 + 419.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = b - 5, -4*z = -0*z + b + 25. Which is smaller: z or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 16) in base 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*z**5\/3 + 2132*z**4\/3 + 12406*z**3 + 174316*z**2\/3 + 46816*z\/3 = 0. Calculate z.\nAnswer: -133, -11, -8, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 121208125 to the power of 1\/2, to the nearest integer?\nAnswer: 11009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32282 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -9*f**3 - 2*f**2 + 8*f - 10. Let g be b(-4). Which is bigger: g or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -976483, -1953245, -2930007?\n\"Answer: -976762*q + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 33*i - 219. Calculate the remainder when 152 is divided by p(9).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*u + 10 = 0, 5*r - u = -11 - 3. Is -3 + -1 + r\/(12\/(-464)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2396119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -7. Let k(a) = 2*a + 55. Let f be k(-28). Put m, 2, f in ascending order.\nAnswer: m, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001603 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3722*v - 465 = 3753*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 115\/3*q**2 - 1\/3*q**3 + 0 - 38*q = 0. Calculate q.\nAnswer: 0, 1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 1\/4, -0.1, 0.478, 10 in descending order.\nAnswer: 10, 5, 0.478, 1\/4, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28027231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8593 is divided by 70.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/21 - 172\/14. Let v(j) = -j**3 - 10*j**2 + 18*j + 41. What is the hundreds digit of v(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 + (-40 - -59) + 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 + 6*u - 9. Let b = -14 + 5. Calculate the least common multiple of 8 and r(b).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = 0, n - 4*l + 4 = 15. Let b(v) = 7*v**3 - 2*v**2 + 8*v + 9. Let u(d) = d**3 + d + 1. Determine n*b(y) + 6*u(y).\nAnswer: -y**3 + 2*y**2 - 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 34*g**2 + 1. Let x(u) = -u**2. Calculate s(x(n)).\nAnswer: 34*n**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*a - 2. Let t be ((-9)\/a - 52)\/1. Let h = t - -80. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r - 3*r + 2*r. Let c(g) be the second derivative of -1\/3*g**3 + 0*g**2 + 0 + 24*g. Give c(d(h)).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383.4 plus 0.2602705764?\nAnswer: 1383.6602705764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12824584?\nAnswer: 2, 1603073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -396?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12823919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 6*i + 5. Let f be p(-6). Let h = f + -1. Determine o so that -1 + 3*o**3 + 3 - 5*o - 4*o**3 + h*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - w + 0*w + 3 - 4*w**2 to the form g*w**2 + o*w + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 4. Suppose 0 = d*b + 2*b. Suppose w + b + 2 = 0. What is the third smallest value in -5, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(77) + sqrt(77) + 4*(sqrt(77) + 2*sqrt(77))))\/(sqrt(132)\/(sqrt(12) + 3*sqrt(36)\/sqrt(3))) + 5.\nAnswer: 5 + 112*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnfc when four letters picked without replacement from nfnfffffcfffffc?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28043 - 28043 - 236*g.\nAnswer: -236*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-9))\/((-10)\/12)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5 + 93*h**4 - 337*h**2.\nAnswer: -180*h**2 + 2232*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*u - 16, 4*u - 8 = -l - 4. Suppose -280 = -l*t + 5*o, 5*o + 130 = -0*t + 2*t. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*v - 7 - 6, 2*w = 3*v + 21. Suppose 304 = 3*o - 2*y, -w*y + 3 = -o + 109. What is o rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-15) - ((-195)\/9 + 2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + 38. Determine a(22).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 + 8*p + 6. Suppose -3*v = -53 + 41. Let h(c) = -2*c - 1. Let m(o) = v*h(o) + y(o). Let r(n) = 63*n**2 - 33. Give -33*m(t) - 2*r(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q)**(3\/28)*q\/q**(-3\/5)*q*q**3*(q**0)**6\/(((q**(-1\/4)*q)\/q)\/q)**33 assuming q is positive.\nAnswer: q**(6529\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 - 10*y - 7. Let z be x(-7). Suppose -2*a + 5*d + 35 = -18, 5*d = -2*a + z. Suppose 2*v = 25 + a. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4 - 12 = 3*v, -v = -2*o + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*12*40\/80\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3005\/3606)\/((-1)\/(-30))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, b: 4}. Give prob of picking 1 w and 3 b.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 j when four letters picked without replacement from {u: 4, x: 5, d: 1, j: 3}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + -2.2. Let v = -59265 + 59265.1. What is the closest to v in -1\/4, -1, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 5*w + 0*w)*(10 - 10 - 4*w**3 + (w**3 + 6 - 6)*(2 - 3 + 3)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 224802 - 224802 + b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.374 - -178.508. Let z = m + -178. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -53*q + 78*q. Put 10, q, 7 in decreasing order.\nAnswer: 10, 7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 8*x + 2. Let j be q(8). Let r(c) = -c**2 - 5*c - 5. Let t(d) = -d**2 - 4*d - 4. Let a(m) = -5*r(m) + 6*t(m). What is a(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-328)\/(-164)*(-92121)\/(-6).\nAnswer: 30707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 20. Let q be g(7). Calculate the greatest common divisor of q and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1695 * -5\nAnswer: 0.8475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -11. Let s be 2\/(2 - 3)*n. Calculate the remainder when (-2 - 3)*(-1 - s) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226 by -1.\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -1. Suppose -19*s + 17*s = v. Suppose 5*f - 7 = -5*k + 3, -5*f + 5*k + 20 = s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 20\/(-2 - 15\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4546 or -13?\nAnswer: -3\/4546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*r - 20, 3*s - 1 - 11 = 0. List the prime factors of (-1 - -8)\/((-2)\/r).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 16 = 2*c. Let b be 1\/(-1) - (-9 - c). Calculate the highest common divisor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.23262 + -0.06738. Which is smaller: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -311 - -311. Suppose p = 4*b - 2*j - 71148, -2*j = -3*b + b + 35578. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, 2\/5, -1, 1 in ascending order.\nAnswer: -1, -0.3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.462 - 60.438. Let y = -61 - g. Which is the nearest to y? (a) -1 (b) 2\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 4*d**2 - 7*d + 5. Let w(o) = o**2 + 2. Let n be w(2). Is f(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7*v - 16. Determine l(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.107983346 to 2 dps.\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*c**2*d*j - c**2*d - 32084*c**2*j + 4*c**2 + c*d*j + 1252099*c*j + c + 9*d wrt c.\nAnswer: 102*d*j - 2*d - 64168*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let d(p) = 14*p + 16. Let u be d(1). Let s be u\/(-9) - (-16)\/(-24). Put h, -5, s, 5 in increasing order.\nAnswer: -5, s, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-788)\/(-14) + 4\/(-14). Suppose 4*o = 16, -10*r - 5*o = -8*r - 26. Suppose 3*a - 92 = -5*x, r*x - a = -2*a + g. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5742, -5746, -5752, -5760, -5770, -5782?\n\"Answer: -i**2 - i - 5740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -10*w + 1. Let k be q(-1). Let p(t) = 4*t**2 - 105*t + 7. Let r be p(27). What is the highest common divisor of r and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 12*h + 30. Give m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90.2 - 83. Let x = 20682.400164 + -20675.2. Let n = s - x. Round n to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -33 in -0.5, -8, 0, 0.16, 2\/3, 0.4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6)*(1 - 7). Let t(b) = -b**3 - 6*b**2 - 2*b - 8. Let x be t(-6). Differentiate -13 + j**q + 7 + j**x - j**2 wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 15*o**2 + 12*o - 18. Calculate x(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-3 + sqrt(1584))*5.\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*f, -53*x + 17 = -49*x - f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.01 and 2.9?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 - 7 = 0, 3*a + 3*v - 15 = 0. Suppose 4*k - 12 = a, -3*r + 0*r - 2*k - 15 = 0. Let f(p) = p**2 - 7. Let d(m) = -2. Give r*d(j) + 2*f(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 24214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5506775.\nAnswer: 5, 23, 61, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*p = -2*a - 146, 4*a = -5*p + 302. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-12)*4 + (-26)\/(-6). Solve -5*n + 35 = u*w, 3*n + n - 5*w = 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 1. Let j = -1.212 - 17.788. What is the third biggest value in 2, s, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 34 - 308 = 0. Calculate the remainder when 84 is divided by 4\/(-18) + -1*(-58)\/t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away 2621.1964?\nAnswer: -2639.1964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16500 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*(5*sqrt(425) + sqrt(425) - sqrt(425)) + 4) - (-4 + 5 + (sqrt(425)*-2 - sqrt(425)))*-6)**2.\nAnswer: -2800*sqrt(17) + 333300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (106\/(-2597))\/((-1)\/14) + 18\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3571154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 304131?\nAnswer: -304144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 14\/15 (b) 4\/9 (c) 1\/6 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 7 + 3 + -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -29. Let h be s\/12 + 4\/(-3). What is the common denominator of 26\/9 and 231\/12 + -2 - h?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 0, 4, 0.2 in increasing order.\nAnswer: 0, 0.2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 1000110011000001?\nAnswer: 1000110010111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2873, -2564, -2057, -1358, -473, 592, 1831, 3238?\nAnswer: 4807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/4)\/((-56)\/140)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z + 3*h + 6, -4*z - 3*h - 6 = -7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.098 + -0.0707746956325.\nAnswer: -0.1687746956325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 19. What is the remainder when (-86)\/(-4)*5*2\/5 is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-2)\/(-4))\/((-970)\/(-54320)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*r - 5 = 0, 140 - 151 = -4*u - r. Solve 0 = u*z + 3*l - 6 - 6, 2*l - 6 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6949.25639 to zero decimal places.\nAnswer: 6949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -175*p + 171*p + 258, 0 = 5*b - 25. Calculate the remainder when 371 is divided by p.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1848 and (-3356)\/(-616) - (36\/(-198))\/(-2).\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 3, 3\/4, -5\/6 in ascending order.\nAnswer: -5\/6, 0.2, 0.4, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110002022010202 (base 3) in base 5?\nAnswer: 3121010331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 divided by 5?\nAnswer: 1141\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 1 + 6. Suppose -o + 2*u + 50 = 4*o, 35 = 5*o - l*u. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 11*u**4\/4 - u**3 - 4*u + 5513. Let h(y) = -y**2 - 1. Give 3*h(a) - n(a).\nAnswer: -11*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6\/11)\/(2136\/7832)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -252*v - 1009. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2447.40414 + 0.3.\nAnswer: 2447.70414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -28*h + 479. Calculate the smallest common multiple of 3 and t(17).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -16*a + 12. Let u be j(-8). Is 8 a factor of u\/(-21)*(-3)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -153 + -5?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1124 = -4*o, -5*d = -0*o - 5*o + 1405. Is 21 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i\/(i\/(i*i**(-42)))*i)*i*i**21 assuming i is positive.\nAnswer: i**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -0*d - 2*d. Let z = d + 40. Suppose -5*b = j + z, -2*j + 5*b = -6*j - 13. Solve -j = -2*c + 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 400, 404, 408?\nAnswer: 412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201021110322231 - 1?\nAnswer: -201021110322232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*m**3 + 95 + 6*m**3 + 0*m**2 - 21*m**3 + m**2 wrt m?\nAnswer: -117*m**2 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -188\/267, 5 in increasing order.\nAnswer: -188\/267, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 40 + 5. Calculate the greatest common factor of 25 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 14*m**2 + 3*m + 30. List the prime factors of f(9).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*(-444)\/((-42)\/(-7)). Calculate the greatest common divisor of 37 and r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3949\/4 + -1018. Let t = n + 1099\/36. Which is the nearest to 1? (a) t (b) 17 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a tonne in kilograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jee when three letters picked without replacement from eeeeeejej?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 3:07 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, l: 3}. Give prob of sequence lee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -30*r**3*s - 3*r**3 - 42*r*s**3 - r + 463 wrt s?\nAnswer: -30*r**3 - 126*r*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 6872, -2\/5, 7, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-19)\/8*(1 - -5 - 5) and 13\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59132*u**6 + 2229*u**2 - 112.\nAnswer: -7095840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6274, 2, 0 in decreasing order.\nAnswer: 6274, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600 = -126*a + 777 - 361 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/7))**(-48))**34 assuming j is positive.\nAnswer: j**(3264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 (base 9) in base 2?\nAnswer: 1010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/16*g**6 - 3\/20*g**5 + 0 + 0*g**4 - 1\/140*g**7 + 0*g - 6*g**2 + 0*g**3. Solve l(x) = 0 for x.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -218 - (-87 + -129) - (-1 + 86).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -20, -17*f = -21*f + 4*r. Find the third derivative of -48*x**5 - 1 - 2*x**2 - 1 - 3 + 89*x**f wrt x.\nAnswer: 2460*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -54. Let n = j - -28. Let p(g) = -4*g**3 + 0*g**3 + 3*g**3 + g**2 + 1. Let m(t) = 3*t**3 - 2*t**2 - 2. Determine n*p(y) - m(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-2) + 6\/(-4). Let v = 12 - 8.9. Let u = v + 0.9. What is the closest to f in 0.1, -2\/3, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) + (2 - 2). Let t = -11 + 12. Is u bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6384 divided by -20.\nAnswer: -1596\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125025 - 115442?\nAnswer: 5143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130851333.\nAnswer: 1130851333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2 times 20?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -0.2, 0, -22, -250, 1 in ascending order.\nAnswer: -250, -22, -0.2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 499279, 998556, 1497833, 1997110, 2496387?\nAnswer: 2995664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -168\/7103293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -3. Let c = -7 + 9. Calculate the least common multiple of c and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, 3, 643 in descending order.\nAnswer: 643, 3, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24139345.\nAnswer: 5, 4827869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1585*n**2 + 1141155*n - 32400.\nAnswer: 5*(n + 720)*(317*n - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 4327?\nAnswer: 432a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 99160116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 523 and 4.\nAnswer: 2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 774749.8 centuries to years.\nAnswer: 77474980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -228839, 2\/11, 1\/4, -65, -3 in descending order.\nAnswer: 1\/4, 2\/11, -3, -65, -228839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71157538?\nAnswer: 2, 23, 1546903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1966084308 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -11?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = x + 3*o, 0*o = 3*o - 15. Suppose 61 = -4*a + 5*h, x*a + 59 = a + 3*h. Sort -3, -1, a.\nAnswer: a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-15)\/2)\/(-3))\/((820\/80)\/41)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -102187944 + -3?\nAnswer: -102187947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/(y*(y*y\/(y*y**(-2\/7)*y))\/y*y*y)*y)*y**(3\/5))**(2\/69) assuming y is positive.\nAnswer: y**(44\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 99*j + 482. Let g be w(6). Let q = g - 1027. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 9*l**2 + 3*l - 99. Determine g(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*f - 14, -4*f - 37 = -5*v - 62 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -18. Let y = q - 5. Let s = y + 4. Sort -2, s, 2 in increasing order.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 533400 by -4.\nAnswer: -133350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 - 197. Suppose -2*h + 74 = -0*h. Calculate the remainder when c is divided by h.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-30))\/((1\/(-40))\/(((-2394)\/(-42))\/798)).\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3471 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-18) - (-22)\/6. Let q be ((-12)\/(-9) + -1)\/(-1). Let a = -0.01 - 0.39. What is the nearest to q in w, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 157997042?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 + 236*r - 948.\nAnswer: (r - 4)*(r + 948)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r + 105 = -138. Let m = 11 + -6. Let y = -4 - -7. Solve w - y*k + 12 - r = 0, k + 5 = m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1134 + 1915 = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.590874 rounded to two dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 l, and 1 h when three letters picked without replacement from {q: 2, l: 2, h: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -10)\/(9 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4, -1\/6, 351411, 14\/9?\nAnswer: 351411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442938 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*p + 20 = 0, 2*p + 20 = 2*q - 2*p. Let y be (-12)\/(((-35)\/(-7))\/(-25)). Suppose -38*r + 50*r = y. Solve q*x + r = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44\/2361 - 78440\/351789. Let u = w - -5020\/1043. Suppose 20\/7*a**2 + 4\/7*a**3 + 16\/7 + u*a = 0. Calculate a.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/960 and 71\/32?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 2*c**2 - 27248*c - 873984 = 0?\nAnswer: -32, 13656","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b + 195. Give m(0).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 19*b**2\/2 - 23*b - 19. Let j be c(5). Calculate the greatest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211102 - -13221111?\nAnswer: 20032213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 (base 13) in base 2?\nAnswer: 1100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5633*p - 259081. What is y(-46)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 538 + -527. Calculate the remainder when 152 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.5 - 30. Let v = 3.5 + r. Suppose 0*l - 10*l = 13*l. Which is the closest to v? (a) 3 (b) l (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 4*w - 6. Let b be k(-6). Let u = b + 0. Is 17 a factor of 235\/u + (-2)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, m: 9}. Give prob of sequence cm.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 540*n - 271*n - 268*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 8*h + 2. Let w be c(6). Let p = w - 8. Is (2\/4)\/(1\/p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 68*o - 750 = 0. What is the remainder when 271 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/(sqrt(8)*-3))\/(6*sqrt(2)*-1))**2.\nAnswer: 7\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 6*w = -3*p + 9, p = 3 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 19 = -z, 5*z - 1 = 2*z - 2*o. Suppose 5 = 4*l + t, 9 + 10 = 5*l - z*t. Let v(w) = 16*w**2 - 3*w + 2. Does 11 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + m**2 + 1 - 8)*(1 - 1 - 2*m + 2) to c*m + l*m**3 + u*m**2 + h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 + 9*n**2 + 885*n - 885*n. Let o(b) = -3*b**2 + 6. Give o(q(c)).\nAnswer: -48*c**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 163, 130, 63, -50, -221?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130 + -128. Suppose -y*t = -5*i + 16, 3*i - 4 = 5*t - 2. Solve 4*l + t = 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-488)\/(-64))\/61)\/((-3)\/(-24))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203586147 by 1.\nAnswer: -203586147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25338, 24935, 24532, 24129, 23726, 23323?\n\"Answer: -403*b + 25741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 18, -5, 36.\nAnswer: -5, 18, 36, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*4*(-9)\/108*-447 - -6. Calculate the greatest common factor of g and 3007.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*h**2 - 34 - 8 + 19*h**2 + 20*h**2 - 63*h**2 in the form q*h**2 + r + v*h and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lil when three letters picked without replacement from licljlcccclcccc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**3\/21 - 82*w**2\/7 + 484*w\/21 = 0?\nAnswer: 0, 2, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2670 and 0.0031.\nAnswer: 8.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76 by -2185.\nAnswer: -4\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from jzjzzzzzjzz.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -40595 (base 14) in base 2?\nAnswer: -100101110010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l - 1. Let m(b) = 3*b + 1. Let y(d) = m(d) + 2*x(d). Let j(n) = -n**2 + 2*n - 4. What is j(z) - 2*y(z)?\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/(u*u*u**(-30)))\/u*u**(-2\/27)*u)**(7\/6))**(-15))**31 assuming u is positive.\nAnswer: u**(-438340\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + b**2 + b + 1. Let u(a) = 11*a**3 - a**2 - a - 1. Suppose 3*m = 3*c + 6, -71*c + 5*m - 9 = -67*c. Calculate c*r(n) - u(n).\nAnswer: -10*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3967 + 0*h**2 - h**2 + 9*h**3 - 3975 in the form f*h**2 + b + c*h + u*h**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 11. Let v(m) = -3*m - 9. What is the smallest common multiple of v(-6) and (-50)\/(-5) - (3\/1 - y)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7562 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24, 2\/7, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02588679423 rounded to 5 decimal places?\nAnswer: 0.02589","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -15, -166, -533, -1206, -2275, -3830, -5961?\nAnswer: -8758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/2341 at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 6:01 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -14*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 290 and 3654?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2450 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47071 by -8.\nAnswer: 47071\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.3368 * 2.\nAnswer: -12.6736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -36*c - 144 + 64*c - 23*c**2 + 147 - 28*c. Let z(o) = 7*o. Calculate v(z(p)).\nAnswer: -1127*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 63941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 279*p**2 - 704*p - 462. What is the derivative of k(i) wrt i?\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0 + 2 + 3 - 3*j - 3. Let z be c(2). Is 8 a factor of (-318)\/(-18) + z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325601057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 - 2\/3*w**3 + 2*w + 0*w**2 = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.018 + 1.018. Let l = -5.23 - -0.23. What is the nearest to -1 in l, 1\/6, m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2*(-2)\/(-4))\/((-1024)\/(-8192))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 + 3*q + 6. Let k(c) = 10*c**2 + 5*c + 10. Let w(b) = 3*k(b) - 5*z(b). Let x(u) = -37*u. Give w(x(i)).\nAnswer: 6845*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from {a: 5, r: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*h**3\/13 - 44*h**2\/13 + 90*h\/13.\nAnswer: -2*h*(h + 9)*(3*h - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1, -4, -1\/4, 111.8, -5, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**3 - 5*l - 5. Let n(h) = -20*h**3 - 9*h - 12. Let r(a) = -21*a**3 - 10*a - 14. Let v(x) = 4*n(x) - 3*r(x). Determine -6*j(s) + 5*v(s).\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48082427579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 814420, 814441, 814476, 814525?\nAnswer: 814588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-1) - (-6)\/1. Suppose 16 = -s + o*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(7) - (sqrt(7) + -2))*3)**2*3.\nAnswer: 36*sqrt(7) + 129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**4 - 302202*r**3 + 2719656*r**2 - 8158806*r + 8158725 = 0. What is r?\nAnswer: 3, 100725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*20\/(-2256))\/((-785)\/1884)?\nAnswer: -4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = -2*c + 3*r, -53842*r + 53824*r = -4*c + 264 for c.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2070456 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 55*w**2 - 3*w - 57*w**2 + 114*w**2 as n*w**2 + v + j*w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) -4 (c) -2\/17 (d) -688\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0*((-10)\/(-8)*-2 - -3). Let j(l) be the third derivative of z + 1\/8*l**4 - l**2 + 0*l**3 + 0*l. Let r(q) = -q**2. Calculate r(j(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 159 and 74325557?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -147 - -204. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -7*l**2\/2 + 2*l - 4. Let o be b(-4). Suppose -r = -4*r + o. What is the lowest common multiple of r and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(343)*-1).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 3. Let x(y) be the first derivative of 0*y - 1\/3*y**l - 1\/6*y**6 + 1 + 0*y**4 + 0*y**5 + 0*y**2. What is the third derivative of x(c) wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3880 + 4146. Suppose -3*x + 156 = -5*x. Let p = x + y. What are the prime factors of p?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1999*j**2 - 1839*j**2 + 3840*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1793 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -194 and 0.07.\nAnswer: -13.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 123202244100?\nAnswer: 123202244042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, 3, 4, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/86184 and 33\/97888.\nAnswer: 7928928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 8:19 PM?\nAnswer: 163","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l. Let z(q) = q + 1. Let i(g) = -28*g - 12. Let j(d) = -i(d) - 12*z(d). Give u(j(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3)*o)\/o)**(-43)*o\/(o\/(((o*o**(-14))\/o*o)\/o))*o*o*o*(o\/(o\/o**(-10\/7)))\/o)**(-7\/6) assuming o is positive.\nAnswer: o**(-809\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**3 - 5*b**3 + 5*b**3 + (b**2 - 5*b**2 + 3*b**2)*(5*b + 0*b - 3*b) + b**3 - 4*b**3 + 12*b**3.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 - 5 = y, 0 = -5*a + 2*y + 161. Suppose 2*s = 4*o - 1140, -a*s - 290 = -o - 30*s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105103099 to the power of 1\/2, to the nearest integer?\nAnswer: 10252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 355*j - 356*j + 0*j**2 - 353*j + 1056*j. Let i(w) = -3*w - 5. Let k(b) = -3*b - 6. Let o(f) = 6*i(f) - 5*k(f). Determine y(o(h)).\nAnswer: 9*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f - 3. Let x be 7\/21 + 20\/(-6). Let z be b(x). Suppose -5*l + 2*l + z = 0. Solve 4*w = 5*c + 8, l*c - 7 = 5*w - 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.8 + -102.2. Let j = x + -123. Let b = 252.000129 + j. Round b to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 19*a**2 + 17*a + 1244. Calculate g(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*o - 2648 + 27950 + 8457 = 4927 for o.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/3)*t**5*t*t\/(t**(2\/19)*t)*((t\/((t*(t\/t**(5\/6))\/t)\/t))\/t)\/t)\/(t**(-1\/5)\/((t**6\/t*t)\/t)*(t\/t**(-2\/3))**8) assuming t is positive.\nAnswer: t**(-991\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148.8 + -149. Let z(o) = -o**2 + 11*o + 176. Let a be z(-9). Sort -3, 3, a, k in ascending order.\nAnswer: a, -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -101.3, 4\/7, 2\/5, 1.1, -11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-5 - 1)) + -61 + 90\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 783781949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -56*w + 58*w - 6*h + 126, -w - 4*h - 16 - 12 = 0 for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 217 + 164)*(0*q - q**2 + 0*q)*(5*q**2 + 0*q**2 - 2*q**2).\nAnswer: -1062*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 15. Let r = 19 - c. Factor 0 - 2\/3*i**r + 2\/9*i**4 - 2\/9*i + 2\/3*i**2.\nAnswer: 2*i*(i - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tevqevqfvteqtveutvvv. What is prob of picking 1 u, 1 t, 1 v, and 1 e?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 777 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (sqrt(72)\/(sqrt(6)*1) - sqrt(12)))\/(sqrt(256)*1 + sqrt(256)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 41983, 0, 3, 4 in descending order.\nAnswer: 41983, 4, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9552\/(-6567))\/(1\/(22\/(-18)))?\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*u + 4, 4*n = -2*u + 3*u + 13. Let k(w) be the second derivative of -2*w**3\/3 + w**2\/2 - 3*w + 1248. Give k(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 66 = 2*c + 3*o, 2*c - 58 = -4*o. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2774929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -10. Is s bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-128)\/256*(0 - -1). What is the second biggest value in -3, d, 0.102?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 10:55 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43719249.\nAnswer: 3, 7, 61, 34129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j**2 - 313 + 144 + 788*j + 169.\nAnswer: 13*j**2 + 788*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(((-18)\/6)\/258)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.12 + 2.337. Let s = 0.207 - g. What is the closest to 1 in 2\/9, 0.1, s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 17 = -3*l, -k + 5*l = 2*l - 13. What is the smallest common multiple of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 27. Which is smaller: 17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h. Let a(p) = -413265*p**2 + 19. What is a(j(k))?\nAnswer: -3719385*k**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 34315 = 5*f, 2*f = -3*q + 12771 + 38654. Suppose 12*t + q = 39*t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.253 times -0.15\nAnswer: -0.03795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2196363 = -5*c - j, 5*c - 4*j - 1373653 = 822720. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1461 - 951. Let b = -67 + 97. Calculate the highest common divisor of b and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8665 (base 9) to base 15.\nAnswer: 1d52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide (-688)\/(-6)*429\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2732 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 times -24?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -401, -403, -405, -407?\n\"Answer: -2*k - 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, t: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329430126*i**2 - 19438502*i + 3 wrt i?\nAnswer: 658860252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, s: 3}. Give prob of sequence scsc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 11 + 2 = 0. Let m(j) = -3*j**3 - 5*j**2 - 4*j - 4. Let f be m(a). Let o be 13\/3 + 3\/(-9). Calculate the greatest common divisor of f and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((102\/(-36))\/17). Calculate the highest common factor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 561064*x**3 + x**2 - 2*x - 13244039 wrt x.\nAnswer: 1683192*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2623589 hours?\nAnswer: 944.49204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k + 6. Let o(f) = f**3 + 4*f**2 + 2*f + 6. Let h be o(-4). Let m be 21\/(-21)*(2 - (-2 - h)). Let i be y(m). Solve 3*w = i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-12))\/(((-12)\/(-45))\/((-2220)\/4625)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 9*d = 3*d. Let n(m) = -2*m + 41. Let j(c) = -11*c + 246. Let i(q) = 6*j(q) - 34*n(q). List the prime factors of i(d).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifteenth of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68273 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2188357 is divided by 1016?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*x + 23 = 0, 5*m - 3*x - 4 = -13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.1 + -12. Let s(b) = b**2 + 4*b - 5. Let h be s(-5). Let y = 30.5 + -31. Sort i, y, h in decreasing order.\nAnswer: i, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18697119 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 5*i**2 - 2*i - 4. Let j be r(-4). Let t = 15 + j. Solve u + 1 = -4*v - 0*v, -3*u = -3*v + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + k + 1. Let n(c) = 8*c**2 - 7*c - 7. Let q(z) = 5*n(z) + 35*u(z). Let m(h) = 3*h**2. Give m(q(v)).\nAnswer: 75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**5\/10 + f**4\/12 + f**2 - 4*f - 111. Let u = 4 + -6. Give g(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = t. Calculate the lowest common multiple of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -535 + 537. Suppose -3*w - h + 2558 = 0, 0 = -g*w + 5*h - 40 + 1717. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12197.1 and -3.\nAnswer: 12194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*g**3*r + g**2*r - 4*g*r + 3*g + 2622*r wrt g.\nAnswer: -18*g**2*r + 2*g*r - 4*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-21)*m**(2\/9)\/m)**(-15) assuming m is positive.\nAnswer: m**(980\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 94, 210, 372, 580?\nAnswer: 834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 5*w + 2 + 8, 5*w = 0. Let q be (30\/9)\/((-4)\/(-6)). Suppose -2*r + 0*r + 5*o + 10 = 0, r - q = -5*o. Solve y = -3*v - r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 0 - 2)*(-1 + 1 - a) + a - 2*a + 4*a)*(19*a**4 + 25*a**4 - 28*a**4).\nAnswer: 16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*l - 218 = 0, -5*f + 4*l = -200 - 279. Suppose -f = -5*o + j + 3401, 0 = j - 5. Is o a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 279, 479, 681, 885?\n\"Answer: y**2 + 197*y + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 x, and 1 g when three letters picked without replacement from {b: 1, x: 3, g: 4, h: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*c + 15*c + 534. Suppose -c = -4*s - 114. Suppose -12*m + 75 = -s. What is the remainder when 69 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10c39 + 36?\nAnswer: -10c03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -633*r**2 + 0*r + 863*r**2 + 0*r + 436*r**2 + 1177*r**2.\nAnswer: 1843*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ebaaa4 - 0?\nAnswer: -ebaaa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14ca (base 14) to base 15\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 47*y**2. Let j(l) = 929258*l. Give j(v(w)).\nAnswer: 43675126*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 21. Let a be (-1 + 2)\/(m + (-29)\/(-28)). Solve 0 = 4*u - 4*d + a, 2*d = 4*u - 2 + 20 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21033 + -104130?\nAnswer: -130213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.895 + -0.105. Which is the third biggest value? (a) -3 (b) h (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -5. Let a(v) = v**2 + 4*v + 1. Let m be a(-3). Calculate the remainder when m*(0 - 7) + -1 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -6. Let d = t + 9. Which is the third biggest value? (a) d (b) 1\/2 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 - -554. Suppose -u + f = 4*u. Suppose u = 3*k + k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 6:47 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**5 + 60*o**4 + 153*o**3 - 12*o**2 - 204*o = 0.\nAnswer: -17, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458386904?\nAnswer: 2, 3, 13, 1097, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 89, 291, 677, 1307?\nAnswer: 2241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 - 0.72?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(3\/((-2751)\/(-28))). Suppose 10*p - j - 109 = 0. Let d(i) = 8 - 2*i + 0*i - 4*i. Let c(z) = -z + 1. Determine p*c(w) - 3*d(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (-112)\/(-48).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 167446 - 83973. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**2 + h. Let o be y(1). What is the common denominator of (o\/12)\/(40\/291) and -91\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.9 - 13. What is the second biggest value in v, 5, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*v**2 - 9*v - 17 wrt v.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.674 + 0.7. Let x = d + -0.0259954. What is x rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + m = 2*m + 11, -4*y - m = -14. Solve 5 = 5*s + q + 17, 0 = y*s + 4*q + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 990 = 18*t - 494 + 779 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(5\/4)\/((k\/k**24)\/k))\/(k**34*k*k*k**(-2\/51)) assuming k is positive.\nAnswer: k**(-2185\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 83. Let c be (-2361)\/(-30) + 1\/(-2). Let t = c + -78. What is the nearest to 2 in -1\/5, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1665 divided by 3\nAnswer: -555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 23*t**2 - 179*t - 20. Let i be y(-6). Which is the closest to -0.1? (a) 0 (b) 25 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2) + 15360\/1764. Let k = a - 43\/6. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4327 - -4331. Suppose 3*x - 5 = 7. Solve 2*u + 3 - g = -b, -u - x = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -7. Suppose 10*j = c*j + 25. Let o be (9\/2)\/(15\/80). Solve -w = -j, 0 = 3*v - 5*w + 2*w + o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/26*(-9 - (-196)\/21)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -20*p + 46 + 81. Solve -2*u = -5*f - 17, -5*u + p*f = 7*f + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 + -5.64. Let m = -10 - -12.9. Let t = m + -1.9. Put -2, v, t, 0.5 in decreasing order.\nAnswer: t, 0.5, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7450 and 39520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14983*s - 6640 wrt s?\nAnswer: -14983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/7 - ((-6)\/2 + 1). Solve -c - h = 2*h + z, -h = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - -1*(sqrt(300) + -1))*5)**2.\nAnswer: -1000*sqrt(3) + 30025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -7. Let b(c) = -3. Let k(j) = -5*b(j) + 2*f(j). Let d(h) = -2*h + 13. Let q(m) = -d(m) + 2*k(m). What are the prime factors of q(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 1 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 220 = -5*z + 2107, 2*x = 5*z - 2336. List the prime factors of z.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.5 (b) 4 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1404 + -1408 + (-4 + 2)\/((-2)\/(-20)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6670 = -8*d + 8626. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g - 8407 = -r - 50*g, -5*r + 41832 = -4*g. What are the prime factors of r?\nAnswer: 2, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*-2*(-129)\/43*2\/(-18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1041 + 1155 - (-3 + 23)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s - 1. Let i = 94 + -93. Determine t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 4098.\nAnswer: 155724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4243867, 4243844, 4243823, 4243804, 4243787, 4243772, 4243759?\nAnswer: 4243748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52666 is divided by 134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3044*x - 927. Let d(i) = -1659*i + 463. Let c(z) = -11*d(z) - 6*r(z). Determine c(31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**44\/(g**(-3)*g*g\/(g\/g**(-6))) assuming g is positive.\nAnswer: g**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 + 47915952*k**2 - 286992115344384*k - 2295939989377024.\nAnswer: -2*(k - 11978992)**2*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5*j + 1167, 2*j + 3*j - n - 1171 = 0. Suppose 28*g - j = 102. What is the smallest common multiple of g and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 4:24 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -3. Let w = r - 7. Let i = w + 24. Which is greater: i or -11?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144a (base 11) to base 15.\nAnswer: -849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, 1267, 5315, 13181, 26137?\nAnswer: 45455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -9\/3838, -1\/2, -2\/7, 3 in descending order.\nAnswer: 3, 0.2, -9\/3838, -2\/7, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17283\/3260 - 122\/163. Let d be (-818)\/506 - (-16)\/8. Let h = 13\/23 - d. Calculate the common denominator of f and h.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1233?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*(-81)\/(-6))\/1. Let r = 167 + d. Suppose -6*w = -w - 3*t - 99, r = 4*w + t. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 96158608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a centimeter in micrometers?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8607, -17524, -26443, -35364?\nAnswer: -44287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -36*s**3 - 47*s**2 - 402*s + 19. What is the remainder when f(-8) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/9 + 1595*v\/3 + 327336 = 0 for v.\nAnswer: -552, 5337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsx when three letters picked without replacement from pxxxxxxpxpsspxpx.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 265aa3?\nAnswer: -265a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -38*v + 1302. Find o, given that -34*o**3 - 136*o - 29 - 3 + v*o**3 - 76*o**2 = 0.\nAnswer: -1, -2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -92658 and -92668 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 13*v + 4. What is the units digit of h(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*s - 1280 = 600, 2*d - 4*s = 3764. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 1 = -k + 7, 26064*k - 26056*k = 4*z + 10 + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyvvkykvvk. What is prob of picking 2 y?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -7 - (-1 - 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 897 and 483?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b + 3*b**2 - b**2 - 3*b**2. Let n be z(11). Let s = n - -20. What is the least common multiple of s and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 2. Suppose k*a + 502 = 5*b - a, -a + 104 = b. List the prime factors of b.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*d + 3*d. What is the remainder when (1325\/30)\/(-5)*-6 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2943.125 times 4\nAnswer: 11772.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h. Let p = 4667\/6 + -778. What is the nearest to 0 in -3, h, p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 2\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -10388.63 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 107141.248214 minus 2549?\nAnswer: 104592.248214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*u - 2250 = 21*u. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*b = b - 6, 0 = -4*m - 5*b + 57. Suppose 16*t + 24 = m*t. Solve -4*x + 3*i = 10, -2*x - t = -3*i - 2*i for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 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: What is 530 minutes after 10:32 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1238 - 1100. Calculate the greatest common divisor of c and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -79\/54227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 560604 and 1734?\nAnswer: 162014556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + 1021 - (86 + -71) is divided by 161.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.238 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.11 - -0.11. Which is the biggest value? (a) 2\/3 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l + 58 - 29*l - 60. Is 18 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 15*h**2 + 37*h - 35. Let p(k) = k**2 + 31*k - 19. Let s be p(-31). What is the hundreds digit of d(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0102 or -762?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 2908498152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4314 rounded to two dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -13\/2, -2\/15, 2, 168, 15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/31555 and -68\/15295?\nAnswer: 96526745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 7*v - 5*v - 46, -3*v + m = -65. Let d be 3\/(6\/170) - 1. Calculate the greatest common divisor of d and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 898 (base 16) to base 11\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325438 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 380543 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 s, and 2 w when four letters picked without replacement from bpwpwoswbjb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(208))**2.\nAnswer: -8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 892*f + 949*f - 1907*f + 529*f**2.\nAnswer: 529*f**2 - 66*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*5281.114.\nAnswer: 1584.3342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-320)\/56)\/(6\/(-1533))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14124)\/(-856)*10\/11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 8999276.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/4 (b) -6\/107 (c) 169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spmsplsplsplspsl. Give prob of sequence sl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 3 + 3)*(-2*w**3 - 2*w**4 + 2*w**3) + 2*w**4 + 0*w**4 + 6*w**5 - w**4.\nAnswer: 8*w**5 + w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 2. Suppose p*d = -0*d + 30. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -63 + -24 + 37\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10023041 is divided by 463?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 5197 + 5295 = 0. Let t be (17\/(-15) + 1)\/(l\/(-1098)). Which is the closest to -2? (a) -3 (b) t (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.82 + -1.92. Which is the fourth smallest value? (a) 3 (b) -0.31 (c) -0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 3553 = 3633 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9241 + -9220. Solve -5*o - 20 = 0, o = -m - 4*o - j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*l + 531 = 1309 - 468 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 6*y**2. Let a(b) = -1 + 4*b - 5*b + 2. Let h(w) = -3*w + 4. Let d = -12 + 11. Let x(k) = d*h(k) + 4*a(k). Give z(x(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 84363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 7, s: 5, b: 1}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -223319, 1\/4, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 484*v**2 + 4496*v**3 - 2248*v**3 - 2247*v**3 as t + f*v**2 + a*v**3 + r*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 8*m - 12. Suppose -m*k + k + 12 = 0. Differentiate -4 + 3*p**4 - 9 - p**k with respect to p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 4 (c) 2\/5 (d) 1.46 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwyo when four letters picked without replacement from {w: 2, y: 1, n: 1, r: 2, i: 1, o: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -o, 2499 = 6*x + 5*o + 224. Let u = -366 + x. Let y(g) = g - 11. Determine y(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 8*u - 2, u + 4507 = 4508 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (11\/77)\/((-2)\/6). Is q at most as big as 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25714347?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ryby when four letters picked without replacement from orbjbyybjbboybojoo?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 3*d**4\/4 + d**3 - 86. What is x in i(x) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-4*sqrt(90)\/sqrt(5))**2 - (1*sqrt(882) - (1*sqrt(72))**2).\nAnswer: -21*sqrt(2) + 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 0*k + 0*k - 5*k. Let v(b) = 24*b**2 + 5*b - 5. Let u(y) = 34*y**2 + 7*y - 7. Suppose 18 = -46*l - 212. Let s(n) = l*u(n) + 7*v(n). What is s(m(q))?\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30622000, 30622002, 30622004, 30622006, 30622008, 30622010?\n\"Answer: 2*l + 30621998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 17. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415996 divided by -358\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 2*d**2 - 8*d**3 + 13*d**3 + 2*d**4 - 2*d - d**2 + 2*d**2 as u + i*d**2 + p*d**3 + h*d**4 + b*d and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8488 and 0.4.\nAnswer: -3395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 37*a = 30 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**3 - 147479*z**2 + 477*z + 9?\nAnswer: 12*z - 294958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773220?\nAnswer: 2, 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2855.8 - -2856. What is the closest to -3.1 in g, -6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-32)\/(w**9*w*w*w))\/(w**(2\/19)*w*w**(1\/5)\/w) assuming w is positive.\nAnswer: w**(-4209\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1)\/h*h*h)**(-47)\/(h**(8\/7)*h**(-1\/6)))\/((h*h**7)\/h*h**(5\/6)*(h**5*h*h)\/h*h*h**(1\/12)) assuming h is positive.\nAnswer: h**(-445\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 4*v**2 + 12*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-3))\/4*(-27)\/15. Which is the closest to -2\/3? (a) i (b) 0.8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 94. Solve x - v*n - n = 9, 5*n + 20 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**4 + 51*a**3 - 253*a**2 + 27479185 wrt a.\nAnswer: 12*a**3 + 153*a**2 - 506*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-2) + 0 + 2. Let a be (320\/(2*-1))\/o. Suppose 0*n + 4 = n, 0 = 4*z + n - a. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-18)\/2))\/1*70\/(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 * -0.0556.\nAnswer: 1.6124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*f - 22 - 42 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.83, 6.92, 1?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 3*x + 0*x)*(-x**2 - x + x) - 10*x**3 + x - x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -9*z**8\/56 + 7*z**4\/6 + 7*z + 11. Let y(f) be the first derivative of b(f). What is the third derivative of y(p) wrt p?\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**4\/6 + 8*b**3\/3 - b**2\/6 - 8*b\/3 = 0.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*c**4 + 198*c - 197\/2*c**3 + 100*c**2 + 0.\nAnswer: -c*(c - 2)*(c + 1)*(c + 198)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2819 is divided by 22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 3. Let i(r) = -5*r + 7. Let o(q) = -7*d(q) + 3*i(q). Let z(n) be the third derivative of n**5\/15 - 5*n**2. Give z(o(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l**2 - 7*l**2 + 2*l**2 - 6*l**2 - 20*l**2.\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7040 + -7098. Which is the third smallest value? (a) -4 (b) f (c) 10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 160*w**2 - 1815*w + 25650.\nAnswer: 5*(w - 38)*(w - 9)*(w + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a - 17*a + 49*a - 18*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.622 times -5?\nAnswer: -8.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a kilometer in meters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woozwzrolz. What is prob of picking 3 o and 1 z?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/20 (b) 0.3 (c) 4\/3 (d) 0.19 (e) 0 (f) -2 (g) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 + 1. Let i be o(-1). Let r = 15 + i. Solve 0*g + g = -3*q - 13, -g - r = 4*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53914145?\nAnswer: 5, 10782829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 1162 = 4*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-15))\/((-45)\/((-1035)\/(-46))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98147*w**3 + 533148*w**2.\nAnswer: -588882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**5\/10 - 5*d**4\/12 + 7*d**3\/6 - 9*d**2\/2 - 2*d. Suppose 2*o - 4*o = -5*l + 42, 5*o - 3 = -l. Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.5, 3259, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -8, -1\/3, -0.11, 0, 17, -92?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/(-30))\/(54\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjjjozozjjzgjpzojo. What is prob of picking 1 p, 1 z, and 2 j?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2 + (sqrt(1584) + 2*sqrt(1584)*6 - (3 + (-2*sqrt(1584) - sqrt(1584))))*-2)*4)**2*-6*-6.\nAnswer: -3538944*sqrt(11) + 934318085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499709 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15747, 31478, 47203, 62916, 78611?\n\"Answer: -u**3 + 3*u**2 + 15729*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*x. Suppose -b + x*b = -1. Does 9 divide (-12)\/(-8)*6*b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3063593 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*q = 13, 4*g - 2*g = -3*q - 8. Let s(o) be the first derivative of -o**2 - 10*o + 1. Give s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12557 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 8 = -5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 217091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - 1. Let c = z + 4. Sort -0.1, c, 0 in decreasing order.\nAnswer: 0, -0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z**2 + 23*z + 20. Let t be 6\/81 + (-656)\/108. Let q be y(t). Solve -q = 9*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j + 46. Let m be z(22). Suppose 4*x = -2*c + m, 3*c - 105 - 145 = -5*x. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7108000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 5*n - 4*n)*(-n**3 - 4*n**3 + 3*n**3) + 0 + 2*n**4 + 0 + 0*n**2 + 0*n**2 - n**4.\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -15, -3, -2 in increasing order.\nAnswer: -15, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 1. Let f(g) = -8*g**2 + 6*g - 6. Give -f(n) - 6*y(n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1577 - 2?\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-98 + (-74 - -22) + 9 + 2)\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*n + n - 2*s, 0 = -5*s - 5. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Suppose j - 64 = 53. Let r(l) = j - 236*l - 699*l - 573*l. Let i(m) = -26*m + 2. Let c(w) = 117*i(w) - 2*r(w). Give c(g(n)).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 283 + -261. Suppose b = 3*p - 5*a + 10*a, 10 = 2*a. Let m(y) = -3*y**2 - y - 1. What is m(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1451005906 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3 - 7*g**2 + 0 + 0*g**2 + 2*g - 3 + 4*g**2. Give h(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-8))\/(n*n**3*n)*(n\/(n*n**(-2)*n))**(-2\/49)*n*n**(1\/6)*n**(8\/7)*(n*n**(-2))**12 assuming n is positive.\nAnswer: n**(-6389\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1008)*-2 + -3 + 2 - (-3*sqrt(1008)*-1 - (-5 + sqrt(1008)*-2))))**2.\nAnswer: 1512*sqrt(7) + 49473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*278\/(-34055)*35?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/12)*j*j**(-6))**(-8) assuming j is positive.\nAnswer: j**(118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x**3 + 7*x**3 + 34*x**3.\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -16. Suppose 0 = -c + 5*c - r. Calculate the remainder when 10 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-10))\/(3\/90). Suppose o + 3*o - 96 = 0. What is the greatest common divisor of o and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 not equal to 60975?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15 + 7 - 14*u**2 - 22 - 13*u**4 wrt u.\nAnswer: -312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 6) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 = -4*p, w + w = p - 3. Solve p*m - 2*a - 17 = 0, m = 2*a - 5*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7728205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 17162838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10 - (-3 + 3) - -4. Suppose b*g - 49 = 7*g. Suppose 21 = g*o + 7. Sort 5, o, 0.\nAnswer: 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 9*u**2 - 9*u - 14. Let h = -86 + 96. Determine g(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2460186 and 2460194 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d + 3*d. Suppose 0 = d*r + r. Suppose -w + 2 = r, 2*h - 48 = -2*w + w. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 5*v - 6. Let x be z(-7). Suppose w - 6 = -0. Let h = x - w. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1*(-6)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(1\/5)\/c*c*c*(c**7\/c*c*c)\/c*c**(-6)\/c*c**(-8) assuming c is positive.\nAnswer: c**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15706 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*o + 2*o, 4*x + o = 44. Let u(h) = 3*h**2 + 1. Let w be u(2). Let p(c) = 2*c + 9. Let s be p(-2). Solve -s*t - w = x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1*2\/1. Let s = -39 + 41. Solve t*o + s*o = 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/6 of a minute?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c - 1. Let f be y(5). Suppose 0 = -5*o - 20, -2*o + 1372 = f*b + o. Let t = b + -185. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/166 + -429\/3818. Let n = d + 84\/115. Let h = 3.2 - -2.8. What is the second biggest value in -5, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188479*k**5 + 9*k - 1423.\nAnswer: 3769580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2420200 rounded to the nearest ten thousand?\nAnswer: 2420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 570.9 - 596. Let o = 27 + b. Let s = -2.8 + o. What is s rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12979 + -13061 - (2 + (-2 - 0)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i - 5. Let z(b) = 2*b + 13. Let p be z(-7). Let f(g) = 3*g - 2*g + 1 - 2*g. Let o(q) = p*c(q) - 4*f(q). Determine o(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 787 = 71. What are the prime factors of l?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 take away 2693?\nAnswer: -2730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, 18, 25, 30, 33?\n\"Answer: -a**2 + 12*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-49)*-14 - (4 - -1). What is the closest to -35 in 5, -0.3, i, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28c19c7 (base 13) to base 10.\nAnswer: -12970575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 872, 1056, 1248, 1448?\n\"Answer: 4*v**2 + 172*v + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 631228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -12 + 10 + 9 + 6*c - 4 + 8. Let a be (24\/(-30))\/(2\/(-15)). List the prime factors of n(a).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*q + 16*q + 16 + 10*q + 2*q**4 as i*q**3 + x*q**4 + b + s*q + p*q**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 + 4337?\nAnswer: 4267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223898799 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:23 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*n - 5*n = 49*n + 11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11063 is divided by 10934?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-252)\/35)*(7 + 248\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 663.527646 - -0.012354. What is s rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53834 * -0.019\nAnswer: -1022.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*w + 125*w + 60*w - 432*w - 14 + 91*w**2 + 123*w.\nAnswer: 91*w**2 + w - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 174 + 25*a - 1449870*a**3 - a**4 + 1449870*a**3 wrt a?\nAnswer: -4*a**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.191553 - 0.403206. Let j = y + 0.711568. Let l = j - 0.5. Round l to five dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -317019, -634036, -951055, -1268076?\n\"Answer: -s**2 - 317014*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 21. Give q(-26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 11818*n + 3. Let y be s(-3). Let z = 123641 - 48190. Let m = z + y. Round m to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 + -3 + -5 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from yxjwkkjwkiyj?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(66) - (sqrt(66) - (sqrt(66)*-1 + sqrt(66))))*4)\/((sqrt(18)*2)\/sqrt(3) + (sqrt(6) - (sqrt(42)\/(2*sqrt(7)) + sqrt(6))))*6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 25217, -39\/35 in decreasing order.\nAnswer: 25217, 0, -39\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2 + (-2)\/4. Suppose x*y + 6 = y. Let k = 1.848039 + 0.151961. Which is greater: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2150003 or -2149994?\nAnswer: -2149994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1994, -8795, -20370, -36725, -57866?\nAnswer: -83799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5110)\/15)\/(1\/(-3)). Suppose 514 = 2*n - 0*n - m, 4*n + m = o. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6310 take away 18?\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5\/23 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -187763 and 10.\nAnswer: -187753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0*t**2 - 4 + 2*t + 2*t**2 + t. Suppose 2*v + 8 = 3*i + 2, 4 = -v + 2*i. Suppose o - 6*o - 15 = v. What is m(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b - 1. Let u(w) be the first derivative of w**3\/3 + w - 49. Determine l(t) + u(t).\nAnswer: t**3 + t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00963649 rounded to 5 dps?\nAnswer: -0.00964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + (-5)\/2)\/(-17 + 13)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 6*x. Let z be i(-6). Let c = z + -33. Calculate the smallest common multiple of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419607 is divided by 7204?\nAnswer: 1775","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2031261935 + -134.3.\nAnswer: 2031261800.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-8)*(1260\/(-150))\/(-21)\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1377) + 3*sqrt(1377) + 2)*1 + ((sqrt(1377) - sqrt(1377)*1) + -3 + sqrt(1377) - sqrt(1377) - (sqrt(1377) + 0)*-1))*5*3)**2.\nAnswer: -506250*sqrt(17) + 193646250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o = -38*o - 24. Suppose -w + 4 = -2*w, -m = -2*w - 26. What is the remainder when m is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - -122. Suppose 2*w - 3*g - 62 = 0, 4*w - p = -0*g - g. Suppose 0 = -3*k + 76 - w. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.48148 decades in years?\nAnswer: 274.8148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 times 55731?\nAnswer: 1560468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02997 + -0.03. What is m rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 405350.7 nanometers?\nAnswer: 0.0000004053507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4601.00011185 + -4601. What is r rounded to six dps?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifteenth of a century?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1455*c**2 - 6022 wrt c.\nAnswer: 2910*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61342333213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7417, 14863, 22331, 29815, 37309, 44807, 52303, 59791?\nAnswer: 67265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 256962133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2 + 6 - 9 + 3*w - 6*w + 2. Let y(c) = 3*c - 2. Calculate 6*j(o) + 4*y(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-1)*(-2)\/2. Which is the nearest to -0.2? (a) n (b) -3 (c) -0.5 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-18)\/(-8) + -2). Let z(c) = c**2 + c. Let i be z(-3). Let s = i + y. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a + 4294?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-1\/3)*r*r*r)**(-25\/6))**49 assuming r is positive.\nAnswer: r**(-15925\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 253 = 14*a. Let f(x) = 4*x**2 - 6*x + 26. List the prime factors of f(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 15. Suppose 5*t + 10 = -5*r, -2*r = -3*t + t. Let m = t - -2. Which is the closest to m? (a) l (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 20, 31?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 157? (a) 15 (b) 0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1666 to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107576304 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 14\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)*2 - sqrt(220)\/sqrt(44))\/((sqrt(500)*3)\/sqrt(2)) + 4.\nAnswer: sqrt(2)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3043\/(-179) + 440\/26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-3 + 5 - 71). Suppose 0 = y - s + 6. Suppose t - 4*n + 14 - 37 = 0, 16 = 4*t + 3*n. What is the greatest common factor of t and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 (base 12) in base 13?\nAnswer: -2c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 43*o**2 + 1. Let f be j(1). Let w(s) = -3*s**3 + 2*s**2 - 1. Let d be w(-1). What is the greatest common factor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqbqbbqqzvhhz. Give prob of sequence zq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - 13 - (-2 - -1)*1. Let x(z) = 3*z**2 - 4. Let s(o) = 4. Let f(l) = 5. Let y(g) = 5*f(g) - 6*s(g). What is j*y(n) + x(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -114, -190, -278?\n\"Answer: -6*n**2 - 46*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 + 73. Suppose -w = 5*h - 102, -4*h + k*h = 4*w - 88. Let p be (-8)\/h + 0 + 19800006\/15. What is p rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -973. Let j = -6065 - -199. Let o = t - j. Round o to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -810*n - 768*n + 832 = -1546*n for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-3 + 4 - 3)*(687*g + 1683*g + 1700*g) as f + j*g and give j.\nAnswer: -8140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 - 385*a**2 - 4840*a.\nAnswer: 5*a*(a - 88)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401170, -401199, -401230, -401263?\nAnswer: -401298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -213, 84, 2 in ascending order.\nAnswer: -213, -4, 1, 2, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/(k*k\/((k*k\/k**(1\/4)*k)\/k*k))*k*k*k**(-2))\/(k**(1\/3)\/k)**(-23) assuming k is positive.\nAnswer: k**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 429 + -279. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/520 and 71\/832.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -155*y + 2790. Let b be s(18). Let n = 10 - 17. Sort n, 1, b.\nAnswer: n, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 407*l**3 - 4*l**2 - 61*l?\nAnswer: 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 2 + (-7)\/((-7)\/(-5)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)*l)\/(l\/((l**(-5)*l)\/l))*(l*l\/l**1)\/l**(-6) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9) + (-2)\/(-9). Suppose -5*r + 65 - 20 = g. What is the remainder when 15 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9654927, 19309857, 28964787?\nAnswer: 38619717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.60989971 to the nearest integer.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -19*m**2 + 7*m. Let s(w) = 3*w**2. Let v(k) = -r(k) - 6*s(k). Let p be 41 - 44 - (-1)\/((-2)\/(-88)). Let z = p - 35. What is v(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysrnyyssmnyrnyy. What is prob of picking 2 s and 1 n?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 15*g**4\/2 + g**3\/3 - 33*g - 35. What is the first derivative of r(s) wrt s?\nAnswer: 90*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/11 + -13\/22. What is the closest to 2 in n, 5, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/324*4)\/(((-375)\/135)\/25).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 34, 62, 102, 160, 242, 354?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -14357*h + 5394. Is r(-23) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*j - 30*j - 20608 = 0. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 + 15*r - 9. Let b(t) = 11*t**2 - 30*t + 19. Let p(a) = -3*b(a) - 5*l(a). Find o such that p(o) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfisxuu. Give prob of picking 1 s and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5, 2*u - 2*j - 10 = 2*j. Suppose -11*n = -u*n. What is the second derivative of -10*m - 6*m**4 - 9*m**4 + 0*m**4 + n*m**4 wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**3 - g**3 - 2*g**3 + (-2*g**2 + 3*g**2 + g**2)*(-5*g + 0*g + 3*g) + 1140 - 29*g**3 - 1140.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -12*t**3 - 11*t**2 + 15. Let j(o) = -6*o**3 - 5*o**2 + 7. Give -13*j(n) + 6*p(n).\nAnswer: 6*n**3 - n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 657 divide 27156451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 5*u**2 + 5*u - 2. Let c be f(-2). Find the common denominator of -2*(-201)\/(-36) + c and 47\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:36 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/((-49)\/21) + -3. Sort -14, x, 3, 2 in descending order.\nAnswer: 3, 2, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/5)\/((-1)\/10). Let g be 661 + 2*3\/j*1. Suppose -11*v + 7*v = -g. List the prime factors of v.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 1006511?\nAnswer: 1006498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -21*((-6)\/18 + -3) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/43984 or -1?\nAnswer: 5\/43984","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 650094 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from {r: 4, h: 1, j: 3, d: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 + -35 + 32?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of 11 - k**2 - 3\/40*k**6 + 1\/12*k**5 + 1\/3*k**3 + 0*k**4 + 0*k. What is the third derivative of h(a) wrt a?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1836 + -1840.498. Let a = 4.08 + s. What is a rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24bb2 - -270?\nAnswer: 24e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 3*c - 7. Let f(u) = -3*u**2 - 5*u + 13. Let v(i) = 10*a(i) + 6*f(i). What is the units digit of v(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 418 and -0.04.\nAnswer: 417.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.08815486*0.4\nAnswer: 0.035261944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - p = 4*o - 31, -3*o + p + 17 = 0. Is o smaller than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*y + 6*y - 4*y)*(9 + 15*y**2 - 4 - 21*y**2).\nAnswer: -78*y**3 + 65*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, z: 7, k: 1, i: 10}. What is prob of picking 1 z, 1 d, and 1 i?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a + 20*a + 72 = 0. Let v(k) = -k**3 - 7*k**2 - 4*k + 7. Let m be v(-7). Let w = 53 - m. Are w and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/68*(-68 - -64)*(-6)\/106.\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 97 - 35 - 61 - ((1 - 0) + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 8:58 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*r**2 + 2 + 22*r**2 - 2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12607819 + 24707819. What is o rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*6\/(-1). Suppose 3*w + 3 + 0 = 0. Sort 4, w, b in ascending order.\nAnswer: b, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*i + 1982, -72 = 4*i + 5*t - 2740. List the prime factors of i.\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1250*u**3 + 93*u**3 - 332*u**3.\nAnswer: 1011*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190073918?\nAnswer: 2, 89, 1067831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/(sqrt(12)\/sqrt(4) + sqrt(3))*-5)**2 + -4 + sqrt(39)\/sqrt(3)*-5)*-6.\nAnswer: -927\/2 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (7 - 0)) + 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 731*b + 5204. Determine g(-7).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from haha. What is prob of picking 1 h and 1 a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-1) - (-3)\/(-1). Solve 15 = -c*u + 3*h, 2*h - 20 = -3*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143947.00056 + -143942. Let l = o + -5. Round l to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: What is the ten thousands digit of 3347262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 6*r - 1. What is the tens digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s + 15. Calculate v(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*-1*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1181895 is divided by 59094?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -2*k**2 - 3*k - 1. Let q(j) = j + 1. Let u = -16 - -22. Suppose -a = -o + 1 - 4, 19 = 2*o + 3*a. Calculate o*t(l) + u*q(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 917622439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 370 = -1870. Let o be 225\/l + (3 - (-4)\/(-2)). Which is the nearest to 0? (a) -45 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 13 - (3 - (-2 - (-6 - 2)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -961\/140991?\nAnswer: -961\/140991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 16018343?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 63088 times -2951\nAnswer: -186172688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -168*z - 1893. Let b be h(-12). Calculate the highest common factor of 5043 and b.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o + x - 13, 4*o - 5*x + 8 = 0. Let d(j) = -24*j**3 + 3 - 8*j**2 - 2*j + 39*j**3 - 16*j**o. List the prime factors of d(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -h + 134. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157279 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:38 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.48 + 4.52. Which is the second smallest value? (a) 3\/2 (b) -0.11 (c) -0.4 (d) -0.2 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and 99\/3736.\nAnswer: 11208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5026 is divided by 1443.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222.8 - 223. Let v(u) = -u**3 + 10*u**2 - 7*u - 14. Let s be v(9). Which is the second biggest value? (a) 2 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)*q)\/q)**35*(q\/(q*(q\/q**(1\/3)*q)\/q))**(-19)*(q**(-3\/5)*q*(q\/(q\/(q*q*q*q**3*q))*q)\/q)\/(q**(1\/2))**(-26) assuming q is positive.\nAnswer: q**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 4 (c) 0.079 (d) -3.6 (e) 5 (f) 39 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735048101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**8\/84 - 13*q**4\/24 + 3*q**2\/2 + 7*q. Let p(f) be the first derivative of n(f). Find the second derivative of p(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -137, 66, 4403 in descending order.\nAnswer: 4403, 66, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 6.1.\nAnswer: 24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1442 and 92666.\nAnswer: 9544598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**2 + 20151*m + 15870690 = 0.\nAnswer: -759, 20910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5213 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1102868 and -33\/20.\nAnswer: 5514340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -333 (c) 8 (d) 0.5 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiifpfipm. What is prob of picking 1 p and 1 m?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1*(-8)\/(-80)*10*(-999)\/9324.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1898 = -13*a - 1599. Let m = a - -359. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 663 and 527.\nAnswer: 20553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y - 5*a = 2006, -175 + 387 = 3*y - 2*a. Solve -58*b = -22*b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120709 + 1.\nAnswer: 120710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 2.5. Let m(n) = 5*n**3 + 1. Let q be m(-1). Which is the smallest value? (a) q (b) 3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:27 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4158 and 18711?\nAnswer: 37422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (19 + 8 - (0 + (4 - 3))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5764 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1905412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + 7.2. Let v = -70 + 77.6. Let j = v - o. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39684 - 39684 - 7756*n in the form b*n + z and give b.\nAnswer: -7756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 606*r**2 - 19*r - 18. Is 4 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s*w**5 + 3*s*w**2 - 15025*w**4 + w**2 - 2120 wrt w.\nAnswer: -240*s*w**2 - 360600*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10545430 (base 6) in base 13?\nAnswer: -b5068","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35589*d**2 + 35589*d**2 + 3*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 735582719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -4037 - 4*q - 1474*q**3 + 4037 + 2*q**2 + q in the form c + b*q**2 + u*q + r*q**3 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 1. Let f be d(-2). Suppose 2*t - 70 = -f*l, 3*l + 7*t - 2*t = 42. What is the remainder when (6\/(-2))\/1 + 30 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 - 10*c + 8. Give v(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 2*g - 5*g. Let d(x) be the first derivative of 0*x + 50 - 17\/2*x**2. Calculate d(l(z)).\nAnswer: 34*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 596 and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 3:58 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 - -396. Let v(z) = -2*z**2 - y + 99 + 92. Let d(u) = 14*u + 2. Determine v(d(f)).\nAnswer: -392*f**2 - 112*f - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -37899?\nAnswer: 18949.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1005007*p**2 + 6012458*p.\nAnswer: -2010014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 17287.281 minutes?\nAnswer: 288.12135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 50 - 829*f + 4582*f.\nAnswer: 3753*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5 = 0, 4*m - 5*w = -2*w - 7. Suppose 4*f = -3*h + 112, m*f + 66 = 4*f + 4*h. Calculate the highest common divisor of f and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932 or -5?\nAnswer: -932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 4*b - 6*b)*(0*b - b + 4*b + (-2 - 3 + 4)*(3*b + 0*b - b) + 1 - 1 - 2*b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-736)\/22 + 3\/(2006\/(-68) - -24)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (64 - 4)*(-4)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 14778*v**2\/5 + 211317*v - 3003\/5 = 0.\nAnswer: -143\/2, 7\/2463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15840.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 59\/5 of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2491, 5009, 7627, 10345, 13163, 16081, 19099?\nAnswer: 22217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**2*m**3*v + 3*b**2*m**3 + b*m**3*v - 95*b*m**2 - b - 2*m**2*v wrt b.\nAnswer: -10*m**3*v + 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -60*g + 239. Is a(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 230\/(-12) - (17 + (-4362)\/252 + 4\/28).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11592 divided by -36?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 377637.98 - -3.176.\nAnswer: 377641.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 + 1.4999964. What is r rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, l: 2, z: 1, t: 2, v: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*t + 13 = 0, 4*w = t + 18 - 2. Let v = w - 1. What is the derivative of v + 0*o**3 + 0*o**3 - 2*o**4 wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -28. Let t be 21\/(-7) + a - -7. Let r = 2 + -6. Put r, -2, t in increasing order.\nAnswer: r, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 21*z**2 + 37*z + 49. Determine w(-19).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 3, -24, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72*(-13)\/(-312)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 26?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1253745?\nAnswer: 1253751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 16*y**5\/5 + 9*y**2\/2 - 15. Find the second derivative of r(x) wrt x.\nAnswer: 192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (11 + -5 + 0) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332 - 4?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31.4 - -132.6726.\nAnswer: 101.2726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 <= -0.39997?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-3)\/(g**(1\/6)*g) assuming g is positive.\nAnswer: g**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufsu when four letters picked without replacement from {f: 1, u: 3, s: 6, m: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y + 93. Is 4 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172.1 - -172. Which is the biggest value? (a) -1 (b) o (c) 28 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-3 + 3) - (-19 + (6 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 806 + -847. Let o = 45 + i. Solve -v + 18 = 3*v + 2*p, -o*p = v - 22 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 368*v**2 - 25018*v - 716. Determine r(278).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 3. Let d = -540 + 542. Let v(c) = -4*c - 2. Let i(b) = d*p(b) - 3*v(b). Let z(g) = -3*g**2. Give i(z(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -120, 1\/5.\nAnswer: -120, -3, 0, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(8*v - 25 + 25)*(70 - 195*v - 70).\nAnswer: -1560*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11221754\/(-4))\/((-1)\/2). Let a = -9910877 + s. Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54630.\nAnswer: 2, 3, 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 156933, 156939, 156909, 156825, 156669, 156423, 156069?\nAnswer: 155589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1432 + 1005 - 1568 - 12384 - 2661)*(-r + 2*r + r).\nAnswer: -34080*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -9\/5, 12\/5, -6\/2875?\nAnswer: -6\/2875","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/26 + 266\/(-637).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 198\/5. Which is the closest to 0? (a) 0.1 (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428174227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + n = 20. Suppose 27 - 103 = -n*q. What is the greatest common divisor of 152 and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 5*j + 578 = 0, 5*j = -12*n + 11*n + 206. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0995 * -0.3\nAnswer: -0.02985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -115*(-40)\/1650 - 3. Suppose -1 = -7*q - 8. Is q at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 32*v + 30.\nAnswer: 2*(v + 1)*(v + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -15*l**2 + 13*l + 5*l**3 - 23*l + 5*l**5 + 15*l**4 + 0*l**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 16884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-34 - -36)*2\/(-4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81865 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1724910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/3, 0.001, 10\/3?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + 1 + 5 + -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*y**4 - 3*c*y**3 - 24508362*c*y**2 - 22*y**4 - 18740*y**3 wrt y?\nAnswer: 48*c*y - 18*c - 528*y - 112440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 303*h - 35*h + 223708*h**2 - 1113 - 223712*h**2 + 3602 wrt h?\nAnswer: -8*h + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 401 = -2451. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1700 and 1819?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 403667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:41 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/91 and -25\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3483 - 3483.0000377. What is j rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h = -4617 - 4239. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -6.1.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j - 5. Let v(l) = 3 - 2 - 2*l + 3*l. Let i(b) = 2*p(b) + 9*v(b). Let y(n) be the first derivative of n**2\/2 + 2*n + 2. Give 5*i(t) + 3*y(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 342 + 675. Let w = 1059 - s. Let z = 30 + -18. What is the highest common factor of z and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - -240?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22930 and 19795469?\nAnswer: 197954690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.18 and 0.8.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 5*g**2 + g. Let r = 25 + -16. Suppose 2*s + 3 = -r. Let i(w) = -2*w**3 - 6*w**2 + w. Calculate s*i(z) + 7*x(z).\nAnswer: -2*z**3 + z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 168075?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 - b**3 + 4*b**3 - 24*b**3 + 6*b**3 + 11*b**3 + (3*b + 0*b - b)*(-b**2 + 2 - 2) - 9*b**3 - 3*b + 3*b.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (95 + (-98 - -17))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*l - 4*l. Suppose -l*r = -4*r - 8. Calculate the greatest common divisor of r and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:21 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 4*s**2 + 11*s + 27. What is t(7)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/5)\/(3 - (-33)\/(-10)). Suppose -q = 4*a - 10*a. Suppose -12 + a = -2*w + 4*m, 0 = 4*w - 3*m - 26. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 308, 4, -1, 831, -5, 0 in decreasing order.\nAnswer: 831, 308, 4, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*s*u**2*x**2 + 4*s*u**2*x - 10*s*u*x + 20*s*x**2 - s - u*x**3 - 3*x wrt x?\nAnswer: -22*s*u**2 + 40*s - 6*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 2279, 7659, 18121, 35357, 61059, 96919?\nAnswer: 144629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 363*l**3 + 2*l**2 + 5. Let z(q) = 361*q**3 + q**2 + q + 4. Let g(t) = 4*r(t) - 5*z(t). What is the third derivative of g(j) wrt j?\nAnswer: -2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f**2 - 10*f - 8. Let q be r(6). Let g = -88 + q. Let j(p) = p**3 + 15*p**2 + 14*p - 7. Is j(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6137*a**3 + 4037*a**3 + 24331*a**3 + 23407*a**3 - 4256*a**3.\nAnswer: 53656*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.959 to one dp.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6298 and 2538?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 3*q - 177. Give i(-14).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3, -3, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -3*c + 6, 0 = 2*c - 3*z - 2 - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 2737744?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.267977t in milligrams?\nAnswer: 8267977000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**4 - v**3 - v**2 - 1. Let w(p) = 307*p**4 + 8*p**3 + 8*p**2 + 185. Let n(l) = w(l) + 8*z(l). Differentiate n(s) wrt s.\nAnswer: 1292*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2511*r**2 + 1258*r**2 - 8*r**3 + 2*r + 1259*r**2 - 3*r as y*r + n + p*r**2 + g*r**3 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46599*g*m**3 + 30*g*m**2*p*t - g*m**2*t + 4*g*m*p - g*m - 7*g*p + 9*m**3*p - m**3*t**2 + m**2*t**2 - 2*m + 6*p wrt m?\nAnswer: -279594*g + 54*p - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*a - 4*a. Suppose a*h + 2*h = u + 1229, 0 = h + 5*u - 302. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125338 or 125319?\nAnswer: 125319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 1. Suppose 6*s - 2*s + 16 = 0. Let h(g) = 3*g + 1. Give s*h(a) - 5*n(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1633 is divided by 274.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6437*a + 6443*a - 12. Factor 1\/6*i + 0 - 2\/3*i**a.\nAnswer: -i*(4*i - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - h + 0*h = 3, 0 = g - 5*h - 21. Which is the second smallest value? (a) 3 (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/14 - 26\/7*-1. Let m be (-85695)\/90 - i\/6. Let z = 2930\/3 + m. Find the common denominator of 37\/8 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -8*z + z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 435 (b) 3 (c) 3\/4 (d) -2 (e) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*j - 57, 2*j - 20 = -g + 35. What is the greatest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790 is divided by 50?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -26.5 (c) -112 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p + 2 + 9*p + 17*p as w*p + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-5165)\/(-11) + 186\/(-341)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwffww. Give prob of picking 2 f and 2 w.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-186)\/24 + 55341\/572 + -6?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 2\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 2*j - 16. Let c = 26 - 20. Let q be w(c). Suppose 3*l + 121 = 5*p + q, -3*p = 6. Is l > -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 4*t + 35, 4*o + 3*t = o. Let q = 25 + -21.8. Let f = -3.1 + q. Which is bigger: o or f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -143, -236, -353, -500, -683, -908, -1181?\nAnswer: -1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 135 = -9*p, -4*g + 262*p - 30 = 515*p - 255*p for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -13*r + 3905. Let h(i) = -2*i + 651. Let w(l) = b(l) - 6*h(l). Let k be (3 + -2)\/(1\/6). Let s(a) = -4*a + 2*a - 2*a - 3. Give k*w(v) - s(v).\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z + 6. Let m(n) = -2*n - n - 7 - 5*n. Suppose -2017*x + 810*x + 837*x = -2220. What is x*p(r) + 5*m(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.49 - 0.69. Sort -3\/4, -7\/6, t in ascending order.\nAnswer: -7\/6, -3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492178 is divided by 2632?\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -3 (b) -4 (c) 1 (d) 3\/10 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 11593300 = -4*u, 5*u - q + 6762144 - 21253775 = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 4*g**3\/45 + g**2\/5 + 2*g\/15 - 8. Factor r(x).\nAnswer: 2*(x + 1)*(2*x + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 0.5 (c) 97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 7) + -8 + -4 + -32 + 4 + 2\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*y = -3*c + 24, -5*c - 3*y = -14. Suppose -102 = -c*r + r. What is the remainder when r is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111779 is divided by 92.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79741383, -79741382, -79741381, -79741380, -79741379?\nAnswer: -79741378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8 - (-300)\/(-48). Let h be j\/(-2) + 156\/(-21) - -4. Let o(v) = v**2 - 26*v + 28. Let w be o(25). What is the nearest to -2\/3 in h, 3\/20, w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (600\/(-105))\/(6\/49). Let b = -46 - i. Let q = 0.1 - 0.3. Put -3, b, q in descending order.\nAnswer: b, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1203068370 and -3745.\nAnswer: 1203064625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 395*h + 12213. Calculate d(-31).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 17992*d - 19020. Give g(1).\nAnswer: -1028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7244 = -39*x - 6932 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 43 = 103. Calculate the remainder when 47 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2 - 10*h = 0?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d + 311258 + 80241 = 0. List the prime factors of d.\nAnswer: 31, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1)*(l\/l**(1\/5))\/l*(l**(1\/4))**(8\/11))\/((l**(-2)\/l)\/((l\/(l\/(l\/l**3)))\/l))**(-39) assuming l is positive.\nAnswer: l**(109\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101201121220220 (base 3) to base 10.\nAnswer: 5700723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3631047 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q - 3*i - 7, -4*q = 4*i + 24. List the prime factors of 423\/33 + (-2)\/q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/2 + 4\/(-8). Suppose -6*x - 24 = -2*x. Let z = i + x. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194235 = u + n, -388458 = -2*u + 2*n - 7*n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from xxevkteq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3209, -12839, -28887, -51353?\nAnswer: -80237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -34 - ((-6)\/27 - 1008\/(-162)). Find the common denominator of (-76)\/f + 7 - 7 and -1 + 3\/((-132)\/(-98)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -75, -77?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (7 + 2) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*f + 0 + 2*f + f - 3 + 5 - f + 0 + 0 + (3 - 3 + 1)*(f - 1 + 1) + 2 + f - 2.\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -104 - -938\/9. Let j = -1.9 + -0.1. Let r be (2\/6)\/((-25)\/45). Which is the closest to -1? (a) r (b) z (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(2) + -2 + 2 + sqrt(2))*-4 - ((sqrt(60)*-1)\/sqrt(10))\/sqrt(3)))**2.\nAnswer: -70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 161667 and 891.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 168*p + 990. Calculate a(162).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 15553 and 88849.81.\nAnswer: 104402.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155165809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -95 + 138. Suppose 5 = -t, -19 = -i + t + l. Calculate the remainder when i is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h - h + 194 + 7*h.\nAnswer: 3*h + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-88)\/22 + 272\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 5*o - 20. Suppose -3*p + 2 = o. Let g = p - -2. Solve w + g = -0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 47072*v + 186354. Determine x(-4).\nAnswer: -1934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.1. Let q = -0.081864 - 0.118136. Let k be 2\/(4\/(-6) + 0). Sort k, -0.3, y, q.\nAnswer: k, -0.3, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8192\/7 or -4\/5?\nAnswer: 8192\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 10. Let g(h) be the second derivative of -1\/3*h**3 + h + 0*h**2 + d + 1\/6*h**4. What is the second derivative of g(r) wrt r?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 22 + 848 = 0. Suppose n = -0*n + v + 44, 4*n - d = 5*v. What is the least common multiple of n and 18?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45234 (base 8) in base 7?\nAnswer: 106454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5325, 10639, 15919, 21171, 26401, 31615?\n\"Answer: p**3 - 23*p**2 + 5376*p - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 14 = 2*b - 100, 5*b = 0. Let y = -81 - o. Solve y*a = 4*z - 7, -2*a - 3*z - z = 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13482113 is divided by 596?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3915825 by 1.\nAnswer: 3915825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 19.598?\nAnswer: -0.39196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 206993 + -2?\nAnswer: 206991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118295 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2164 a factor of 341440593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8)\/(x**5\/x))\/(x*x*x**2)**(9\/2) assuming x is positive.\nAnswer: x**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 31 - 27 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggjjjgggggggjggj. What is prob of picking 2 j?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**2*x**2 - 117*c**2*x - 18491*c**2 + 3259*c*x**2 - 2*c*x - c + 3*x**2 - 43*x wrt c?\nAnswer: 18*x**2 - 234*x - 36982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470\/21 + 68\/3. What is the smallest value in -2, 0.3, y, -0.67?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 6) + (7 - (5 + -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 + 37*u**4 - 3*u**3 - 117*u**2 + 110*u - 24 = 0. What is u?\nAnswer: -2, 1\/3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -547, -544, -539, -532, -523, -512?\nAnswer: -499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:57 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 74*h**2 + 152*h + 574. Give k(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 30 = -2*m. Let d(c) = 3*c**2 + 18*c - m*c - 6*c. Let t(p) = 3 - 10 + 3 + 4*p**2 + 3. Determine -3*d(v) + 2*t(v).\nAnswer: -v**2 - 3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2565)\/2565*34\/2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3 (b) -5 (c) -0.2 (d) 781\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262379.\nAnswer: 13, 20183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (-28 - -15) + 34\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20218.92 - -20370. Round a to 0 decimal places.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970361.4 litres in millilitres?\nAnswer: 970361400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*j - 9763, -2*j + 1118 = f - 2151. Is 17 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 + 28*a - 27. Let p be c(5). Solve -31*y = 24 + p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(847) - sqrt(847))*-1 + 3*(sqrt(847) + 3))**2 + -4*(-4 + 2*sqrt(252) + sqrt(252))*-4.\nAnswer: 948*sqrt(7) + 7659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 9327.362 to the nearest 10.\nAnswer: 9330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c. Let n(w) be the third derivative of -w**7\/5040 - w**5\/12 + 8*w**2. Let r(s) be the third derivative of n(s). What is b(r(i))?\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38\/(-380)*-20*15\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3673.\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -604 + 617. Suppose 0 = -0*o - 3*o + 441. Suppose 0*q + 3*q - o = 0. Calculate the remainder when q is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291 + -291. Put a, 1, 4 in decreasing order.\nAnswer: 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + 1*2*sqrt(209) - sqrt(209))\/sqrt(11).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(-6*m + 2*m + m) + 4*m - 3*m - 2*m + 2*m - 2*m + m + 3*m + 4*m - 6*m - m + m - m to the form x + n*m and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 1, 78\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.63 - 68. Let t = 7 - 6.97. Let v = o - t. Put -0.5, 3, v in increasing order.\nAnswer: -0.5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 32*s - 21. Let u be f(29). Find the common denominator of 137\/6 and 2462\/(-52) + u\/(-429).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 2*a**2 - a - 1. Suppose -5*j + 2*q = 23, 0 = -3*j + 4*q - 17 - 8. Let t be (-2 + -1)\/3 - j. Let p(h) = h + 1. Let v be p(t). Calculate z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*h**4*m**2 - 45*h**4 - 3*h**2*m - 5773*h*m**2 wrt h?\nAnswer: 708*h**2*m**2 - 540*h**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372644, 372415, 372212, 372041, 371908?\nAnswer: 371819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-165)\/(-154))\/(8\/14). Let q = 61\/24 - d. Put -1, q, -10 in ascending order.\nAnswer: -10, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 26292948?\nAnswer: -52585896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -27\/7, 969, -1, -2?\nAnswer: 969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/12, 4, 176, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one quarters of a century?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7*r - 245 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 divided by 43.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.27663*0.2.\nAnswer: 0.055326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 120201\/(-6)*(-19)\/(95\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 226, 332, 436?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, 0, 5, -7\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1 + 1 + z - 14*z - 2. Is 12 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 74388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132232021 (base 4) to base 14.\nAnswer: -33c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + -2 + (-210)\/32 and (2 - (-255)\/(-24)) + -3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (405\/(-645))\/(117\/(-13)).\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 344 = -2*w, k - 357 = 5*w - 1194. Let g = w + -161. Solve g = 2*f - t, -31 = -3*f - 5*t + t for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:39 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1659, -1673, -1687, -1701, -1715, -1729?\nAnswer: -1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4)*((-12320)\/(-490))\/(-4)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -915*l + 93291. Calculate s(102).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 463.\nAnswer: -463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12569 is divided by 507.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.193 - 77.193. Let m = 4 + w. Let u = -72.999934 - m. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 164*c. Let y(d) = -d - 23 + 23 - d. Calculate y(x(q)).\nAnswer: -328*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 240 and 1296.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 5 = -2*r, -6*t - 21 = -3*t for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 184*n**2 - 1540*n - 3600.\nAnswer: -4*(n + 5)**2*(n + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -561, 1, -4 in decreasing order.\nAnswer: 1, -4, -561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*m - 175*m + 319*m - 11*m**2.\nAnswer: -11*m**2 - 17*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -0*m - 2*m + 3*h, 3*m + 32 = -4*h. Let t = -8 - m. Solve -d - 2*d + 4*b = -1, 11 = d - t*b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - w. Let y be r(1). Let a be 3*(8\/y - -2). Let p be ((-11250)\/(-40))\/(a\/(-6400)). Round p to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 3. Suppose -7 = f*o - 23. Suppose -5*s - 230 = -5*c, 2*c + c = o*s + 136. Does 24 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/19 (b) -7\/3 (c) 0.12 (d) -12 (e) 3 (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-27)\/60*-2 - 2\/4. What is p in 0*p + 0*p**3 - 1\/5 - 1\/5*p**4 + a*p**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1710\/(-27)*6\/(-4). What is the highest common factor of k and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107 - 16*h**2 - 107.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11084048 is divided by 1916?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61174 > 61174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 3*k**2 - 9380253*k**3 - 9380153*k**3 + 18760407*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1776 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 13*u + 25 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a day in hours?\nAnswer: 232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7002 <= -7002?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 12:36 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8*w - 4*l - 165409 = 0, -5 = 5*l. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1202 - -20043?\nAnswer: 21300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 1. Let m be v(-1). Solve j - 3*q + 5 = 0, m*q - 2 = -4*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -91\/61, -123 in increasing order.\nAnswer: -123, -91\/61, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45329*g + 4*g**2 + 16*g**3 - 45324*g - 2 - g**2 to z*g + u*g**3 + l + b*g**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffkfffffffkff. What is prob of sequence kf?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39158 (base 12) to base 6.\nAnswer: 1400552","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klkl when four letters picked without replacement from {b: 6, y: 2, l: 2, h: 1, k: 3, v: 4}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -646*z + 5122. Calculate f(8).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -965, -1935, -2911, -3893?\nAnswer: -4881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -492*z - 931. Give y(-2).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -662, -2 in ascending order.\nAnswer: -662, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*((-3)\/(-6) - 0). Suppose 6*z + 36 = i*z. Suppose -51 = -3*a - z. Is 12 smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-10))\/(6\/15). Let y be 22\/(-33)*3*b. Solve 4*a + y - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 902491?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-2)\/(-8)*-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h**2 - 38 + 10*h**2 - 48 + 54198*h - 54216*h. What is q(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -98 - -192. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-44)\/66)\/(4\/(-18)). Let q = 29 - 26. Find the third derivative of 20*k**r - 7*k**2 - 20*k**q + k**5 - 17*k**2 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:35 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 21486401*c\/4 - 32229597\/2.\nAnswer: -(c + 3)*(c + 21486398)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3119, 4161, 5303, 6545?\n\"Answer: 50*k**2 + 892*k + 2177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 - z - 252 + 26 - 341.\nAnswer: -z - 700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 10*m - 4*p + 100 = 0, -5*m = -p - 542. Calculate the smallest common multiple of 74 and m.\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m + 0*m**2 - 8 + 7\/3*m**3. Let i(j) = 4*j**2. Calculate i(v(x)).\nAnswer: 196*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g**2 - 3*g + 4. Let f be o(2). Let b = 16 + f. Solve -b*v + 3*z - 6 = 0, 4*v - 3*v + 3*z = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 5*w**3 + 19*w. Let h(o) = -6*o**3 - 20*o. Suppose 0 = 2*l + 2 - 8. Let f(x) = l*g(x) + 4*h(x). Find the second derivative of f(y) wrt y.\nAnswer: -54*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n + 4. Let z(o) = -o**2 - 25*o - 50. Let h be z(-23). Let g be 5\/(4\/(h + 0)). Let q(c) = -c + 3. Give g*q(f) + 4*p(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*i + k, i + 0*k - k - 18 = 0. Suppose 4*n = 6 + i. Suppose -j - 13900001 = n*g, g - 5*g = 2*j + 11120002. What is g rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75438)\/264)\/(-127)*2*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 4. Let u be v(0). Suppose -3*k - 26 = -w, u*w + 0*w + 4*k = 72. Factor 22*y**4 - 165*y**3 - w*y + 120*y**2 + 78*y**4 - 20*y**5 - 20*y**2.\nAnswer: -5*y*(y - 2)**2*(2*y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 577*t**3 - 4*t**2 - 6*t + 14. Let j be g(-5). Is (-12)\/(-2)*j\/(-114) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 - 2*k. Suppose 0 = 5*r - r - 12, -2*p = -3*r + 17. Does 24 divide u(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 24 = 0. Suppose l = t - 3. Let f = -14 + 49. Calculate the highest common divisor of f and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 5*g = i + 4*g + 8*g - 6, -2*i + 4*g - 18 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 2:56 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*q**3 + 1442 + 131*q**3 - 44*q**3 - 44*q**3.\nAnswer: -2*q**3 + 1442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/19 - 5\/228. Let q be (6\/(-8))\/((-144)\/(-576)). What is the smallest value in q, b, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -84 or -224?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*y - 1156*y + 10651 - 7820 = 127791 for y.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**2*z + 448*b**2 - 9*f**3*z - f**3 wrt z.\nAnswer: -b**2 - 9*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46\/(-10) + (-8)\/20. Calculate the common denominator of -61\/10 and (q\/1)\/(4\/11).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 25*i**3 - 52*i**3.\nAnswer: -25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.7794ml in litres?\nAnswer: 0.2227794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b + 2*b + 2*b)*(-3 + 6 - 2) + 7*b - b - 2*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 13*c - 4. Let i be j(0). Let b = 683 - i. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4434032022 (base 5) in base 11?\nAnswer: 5508257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3 - 2176506*j**2 - 32648040*j = 0 for j.\nAnswer: -15, 0, 1088268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + 9*r + 33. Let t(h) = -5*h**2 - 8*h - 26. Let n(f) = 4*c(f) + 5*t(f). Suppose -4 = -d - 2*m, -4*d - 8 = -2*m + 16. Give n(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14381 - 14380.2. What is the third smallest value in c, -6, -4\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (sqrt(245) - (1 + sqrt(245))) + 3)*1 - (1 + (1 + sqrt(245) - sqrt(245)))*6*-3)**2.\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 369*u + 10 - 476*u.\nAnswer: -845*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 272 = 5*w, -2*w + 4*w = -o + 100. Let m = w + -38. Let t = 24 - m. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -5. Suppose -w + 10 - 3 = 0. Let t = w - u. Solve 0 = t*z - 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*a*f - 926*a + 144829*f with respect to a.\nAnswer: -19*f - 926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 56 (b) 1\/12 (c) 50 (d) -4 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 22, 2, 1, -66 in descending order.\nAnswer: 22, 5, 3, 2, 1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/5 + (3155 - 2). Let q(h) = m + 7*h + h**3 - 3165 + h**3. Let c(a) = 5*a**3 + 15*a - 13. Calculate -6*c(o) + 13*q(o).\nAnswer: -4*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 29152 = 29156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 7:59 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 5*y - 2*n, 3*y - n + 12 = 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*z - 60, z - 5 - 11 = s. What is the highest common factor of 15 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from {c: 2, e: 1, v: 1, r: 1, a: 1, q: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22212010120 + 111111?\nAnswer: -22211122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/4)\/(26\/52). Suppose 38*k = t*k + 2*d + 7287, -4*d = 5*k - 7311. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, r: 2, t: 3, m: 2}. What is prob of sequence rtmt?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(2765\/(-6)))\/(810\/450)?\nAnswer: 2\/237","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 28 - 43 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(88)\/sqrt(8) - (0 + sqrt(11) + -2)**2.\nAnswer: -15 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 30*p**2 - 13*p - 7. What is the thousands digit of k(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = 2*q - 533. Let m = -166 + q. Which is smaller: -1\/41 or m?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71601 - -71711.361. Round i to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 3*v = 158, -2*v + 131 - 21 = -3*u for u.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8072057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/5 + 493\/35. Suppose 12 = o - 5*o. Which is the closest to o? (a) -0.4 (b) h (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1013237\/28 - -253430\/7. What is l in -n*l + 39\/4*l**2 - 3\/4*l**3 + 33\/4 = 0?\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g = 90. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 12*u**3 - 56*u - 234. What is o(-4)?\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-1)*(-42)\/(-42)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 96*k**2 - 1344*k + 438. Determine m(12).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17. Let w = 1084 + -1084.01. What is the second smallest value in i, 0.5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.3? (a) 2 (b) -6 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1533, 2084, 3009, 4314, 6005?\n\"Answer: n**3 + 181*n**2 + n + 1350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-4*((sqrt(1900) + 1)**2 + sqrt(19) + sqrt(19) + 0 + 0).\nAnswer: -7604 - 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) - (-84)\/20. Suppose -g*t - 90 = -22. Let s = t + 32. Does 15 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**2 - b. Let u(i) = 6*i**2 + 4. Let c(v) = 6*v**2 + 6. Let o(f) = 4*c(f) - 6*u(f). Determine n(o(w)).\nAnswer: 2016*w**4 + 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 2*v + 4*v)*(7*v - 1 - 1 + 0*v)*(19 + 37 + 34)*(-1 + 5 - 5) to the form t*v**2 + y + c*v and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27646 is divided by 296.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -1910, 8, 1, -1, -11 in ascending order.\nAnswer: -1910, -11, -3, -1, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10583426369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r\/(((r**(-4\/33)*r)\/r*r)\/r)*r*r**(-17)*r assuming r is positive.\nAnswer: r**(-392\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5 - 4 = 0. Let u(m) = -2*m + d*m - 1 + 6. Suppose -138078*j = -137885*j + 772. Calculate u(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1162 (base 13) in base 8?\nAnswer: -4616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*o + 18 + 20 - 40 + (2*o + 0 + 0)*(1 - 4 + 4) + o + 2 - 2 + (-4 + 5 + 1)*(3*o + 3*o - 5*o) as q*o + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3181578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrr when four letters picked without replacement from {j: 3, f: 1, r: 12}?\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 12*t**2 - 3*t + 223. Determine i(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:46 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -6*f + 7. Let s be c(2). Sort 0, -3, 1\/10, s in ascending order.\nAnswer: s, -3, 0, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2325, -2086, -1833, -1560, -1261, -930?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*u + 0)*(-1 - 3 - 11*u + 6).\nAnswer: -22*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - c**2 - 4*c. Let v be k(3). Suppose 3*i + 5*m + 236 = 7*i, -m - 4 = 0. What is the greatest common divisor of i and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + r - 5, 34*r + 20 = 2*i + 38*r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + 131*s**2 + 42*s + 99. Is l(-62) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -7)\/((-45)\/30). Suppose v - 25 = -a*w, 2*v - 7*v - 15 = 0. Solve 3*o = -i - w, -3*o + i + 2*i + 9 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12074335 divided by -2414867?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) 0.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -2*b - b, -9 = -3*b - 3*g. Let s be ((b\/1)\/1)\/1. What is the remainder when 52 + (2*s - -2) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.74 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -14*w**3 - 9*w**2 - 65*w - 294. List the prime factors of v(-5).\nAnswer: 2, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4, 2*w - 4*w = 2*l - 20008. Let i be (-22)\/55 + w\/5. What is i rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -31.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 758 + -753. Suppose -3*z + 0*z = 3*u - 675, 675 = 3*z + s*u. Is 75 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 2*h**2 + h - 1. Let i = -80 - -41. Let f be 240\/i - 2\/(-13). Let w(g) = -g**3 - 7*g**2 - 8*g - 9. Let n be w(f). Determine q(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g + 2*g - 4*g - 114*g**5 - 2*g**5 + g**5 + 2*g**5 + 5*g**5 - 2*g**5 - 2*g**5 + (-3 + 3 + g**2)*(-4*g + 2*g**3 + 4*g) - g**5 - 3*g + 3*g.\nAnswer: -111*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 82 and 8.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 7*q - 4. Let o(c) = c + 1. Let d be o(4). What is the units digit of z(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 497?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -15*q - 45, 7*k - 2*q - 17 = 2*k - 1 + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 0*q + (-1 - 5 + 1)*(-2*q + q + 2*q))*(-q + 15*q**2 + 0*q + 50*q**2).\nAnswer: -520*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1392 - -36a4?\nAnswer: 4a86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -6*k - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.406 + -5.406. Is 9.23 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 9*y**2 + 12*y + 5. Let v be f(10). Suppose 10*d - 5*d = v. Calculate the lowest common multiple of d and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:06 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42.5 - 43. Let p = 0.9 - 1. Sort t, p, -2\/3 in decreasing order.\nAnswer: p, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -7*k + 41. What is the hundreds digit of ((-6655)\/(-10))\/k*(-2 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 292 - 300. Let t(r) = 11*r + 126. Calculate the remainder when 140 is divided by t(s).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*s + 256*s + 252*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**2 - 5*p**3 + 0*p**3 - 3*p - 2*p**2 wrt p?\nAnswer: -30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(2 + (0 - 0)). Let u(c) = -c**2 - 10*c + 25. Let z be u(2). Solve 0 = w - r*w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*0\/(4\/(-12)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*l. Suppose 0 = 2*p + p + 5*s - 5, -p + l*s = 2. Solve -w - 16 = 4*g, p = 3*g - w + 9 + 3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22495489.72 to the nearest 10000.\nAnswer: 22500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((170\/(-316))\/17)\/(85\/68).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680287?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226999?\nAnswer: 53, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a decade?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 15)*(-25)\/(-40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0552*0.033\nAnswer: -0.0018216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o + 1. Let m = -59 + 55. Let k(t) = -4*t + 2. Determine m*k(x) + 5*z(x).\nAnswer: x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1975, 3983, 6015, 8083, 10199, 12375, 14623, 16955?\nAnswer: 19383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 481*q**2 + 485*q**2 + q + 9 - 973*q**2 - 8. What is i(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-334)\/(-3) - (54\/8 + -8). Let a = i + -241\/2. Find the common denominator of -41\/174 and a.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 10*i - 10. What is u(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 3. Let u be w(2). Suppose 25 = -u*h + 25. Let r be 66 + 8\/4 + h. What is the greatest common factor of r and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n\/(n*n\/(n\/n**(-3\/2)))))\/n**(1\/22)*n**(-26)\/n**(-14) assuming n is positive.\nAnswer: n**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/36 + 5*l - 5. Let t(s) be the first derivative of h(s). Factor t(j).\nAnswer: -j**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3231 (base 6) to base 4\nAnswer: 23203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 - u**2 + 12*u - 10. What is n(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-38)\/(p*(p\/(p**12*p))\/p*p))\/(p**(-2)\/p**(-2\/123)) assuming p is positive.\nAnswer: p**(-3077\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12) + 1)*((-1443)\/(-507) + (-4 - -1))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 0.2 (c) -53\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-47760)\/(-138) + 6\/(-69) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*z - 5*z = 40, 4*z = -2*n - 6. Let i = -1 + n. Let s(g) be the second derivative of -g**4\/12 + g**3 - 3*g**2 - 3*g. Calculate s(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.816752 rounded to two decimal places?\nAnswer: -2.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-14))\/((-2)\/(-7)). Suppose -3 - 11 = -2*k + 2*o, 10 = q*k - o. Differentiate -15 + 33*z**k - 8*z**3 + 4 + 2*z**3 wrt z.\nAnswer: 81*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 888244.\nAnswer: 2, 7, 31723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.051 + 0.249. Which is the second smallest value? (a) 1\/4 (b) -0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4.9, -6, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -0.0563.\nAnswer: -0.2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.018 + 3.018. Which is the second smallest value? (a) -0.3 (b) 2\/15 (c) 2\/9 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 347657?\nAnswer: 347656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -262.50156 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -2743d80?\nAnswer: 2743d7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1508128*a**2 + 9*a + 60576644 wrt a?\nAnswer: -3016256*a + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**3 - 129*s - s**2 - 134*s - 128*s + 366*s to l*s**2 + b + x*s**3 + i*s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 1388?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from {d: 1, u: 1, r: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*k - 59. What are the prime factors of k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-21)\/48*-4)\/((-3)\/(-12)). Suppose -g*s + 46 = -395. What is the common denominator of 37\/21 - (-14)\/s*3 and 55\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2\/3 - 68948*f\/3 + 1472256 = 0. What is f?\nAnswer: -69012, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14568*o**3*t**2 + 2*o**3 + 511*o**2*t + 6*o*t wrt t.\nAnswer: 29136*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by 2.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 296 = 396. Solve a*d = -r - 0*r - 15, 3*d - r = -13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -118199 (base 12) to base 11.\nAnswer: -184127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 261350177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 - 4.5. Sort 0.1, -1, x, -2 in ascending order.\nAnswer: -2, -1, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121180346?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 138*u - 37. Determine m(-67).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) 11.6 (b) 1\/6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -47. Let q(a) = -142*a + 1284. Let v be q(9). Solve -v*z = -l*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 27 - 1)*(-v + 4*v - 4*v + 0 + 0 - 2*v + (6 - 1 - 3)*(-3*v + 2*v - v) + 3*v - 7*v + 2*v) + (0*v - 4*v + 2*v)*(4 - 2 + 0).\nAnswer: 356*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-25))\/((-14)\/(-560)). Let j(g) be the first derivative of -i + 5\/2*g**2 - 1\/3*g**3 - g. What is j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20297 - 20222. Solve s = -160*b + 145*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26583411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 113 = 43. Let p be ((-7)\/c)\/(1\/(-24)). Factor 25 - 4*n**2 + 15*n + 17*n - 41 - p*n.\nAnswer: -4*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13829976, 55319892, 124469750, 221279550, 345749292, 497878976, 677668602?\n\"Answer: 13829971*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 124 and 22568?\nAnswer: 22568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5865 - -5983. Is u < 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5291.\nAnswer: 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45, 0, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -339.597 and -0.2?\nAnswer: 67.9194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 - 7*t**2 + 8*t + 3. Let d(x) = -x**2 + x. Give -a(l) + 5*d(l).\nAnswer: 3*l**3 + 2*l**2 - 3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a + 1. Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 7. Let n be i(5). What are the prime factors of 19*1 - (n + 9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 493588 (c) -2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26792.0011379 + 26792. What is j rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 - 37 - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 176459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/11952 and 107\/104684580?\nAnswer: 418738320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 429 and 113295?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * -0.3.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s)**(16\/11)*(s*s**(-2\/9))**(-1\/12) assuming s is positive.\nAnswer: s**(1651\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 f, and 1 x when four letters picked without replacement from fffhhrhrfsfhrfxxfs?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o. Let h(f) be the first derivative of 2*f**3\/3 + 77. What is u(h(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266090 is divided by 22608?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 + 3*j**2 - 4*j**2 - 49 + 6*j**2 to o + n*j + v*j**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14481, -57947, -130377, -231759, -362081?\n\"Answer: 2*z**3 - 14494*z**2 + 2*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + k = 11*k - 5*l + 17, -3*k = -l + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4274256 by -7.\nAnswer: -610608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 2*n + 12, 0 = -5*s - 6*n - 281 + 273 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 582528 and 3108.\nAnswer: 4077696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 86382, 86257, 86144, 86043, 85954, 85877?\n\"Answer: 6*c**2 - 143*c + 86519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 1:53 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474538 divided by 114?\nAnswer: -412423\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(6*(2 + (sqrt(1900) - (-1 + sqrt(1900))))*-6 + 1))**2.\nAnswer: 45796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 19*x. Let g(k) = -k**3 + 19*k. Let b be -2*(2 - 0)*1. Let j(q) = b*g(q) - 3*l(q). Find the second derivative of j(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6*p = 0. Suppose -u + 2*u - 3*y + 7 = 0, y - 24 = -4*u. Which is the closest to p? (a) -1\/5 (b) 7 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 12*b**3 - 8*b**2 + 6*b - 147. What are the prime factors of h(8)?\nAnswer: 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(60))\/(sqrt(30)\/sqrt(54) + sqrt(5)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/1139, 0.4 in ascending order.\nAnswer: -2\/1139, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 369, 758, 1161, 1584, 2033, 2514, 3033, 3596?\nAnswer: 4209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 7*c - 11*c = -5*c + g + 16, -c - 109 = 4*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 24 + 38 = 4*u, 4*u = -m + 17. Let y(v) = v**3 - 4*v**2 - 14*v + 22. What is y(u)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 3*a**5\/20 - a**4\/12 + 28*a**3\/3 - 11*a**2. What is the tens digit of g(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100888 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2487 and 439.7.\nAnswer: 1093533.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -97a49934?\nAnswer: -97a49934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 256*w**2 - 1498*w - 13. Let p be f(-6). Let k(o) = o**3 + 25*o**2 + 2*o + 20. What is k(p)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -7, 3 in decreasing order.\nAnswer: 3, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0, -433 in descending order.\nAnswer: 0, -1\/2, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3 - u**2 - 2*u - 20 + 1\/4*u**4. Let p(v) = v**3 - 6*v**2 + 7*v - 7. Let c be p(5). Determine t(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -402 or 4?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -119.51 + -2.49. Let l = 6314037 - 6313915.00061. Let w = l + m. Round w to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 34a7?\nAnswer: -34aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -984.6*4\nAnswer: -3938.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40976 is divided by 3641.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2451 less than 3347?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(972 - 74*y - 972)*(-2 - 1 + 4).\nAnswer: -222*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49116 + 1429. What is the ten thousands digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -bc4?\nAnswer: -bc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -5 + 5 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b8755 (base 14) to base 6.\nAnswer: -33030343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31*36\/(-558))\/(0 - -1 - 117\/104).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16 - 14)\/2 + 2*(-4)\/12. Let c = 4800 - 14537\/3. Let t = c - -46. What is the nearest to t in 0.4, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06 - -0.56. Let j = 5.8 + 0.2. Let p = -56.8 - -56.7. What is the nearest to j in p, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2882 + -1683. Suppose 0 = 14*f - 3519 - m. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -976*g**2*j**2 - 109*g**2 - 2*g*j**2 + 3*g wrt j?\nAnswer: -1952*g**2*j - 4*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -58, -124, -256, -478, -814, -1288?\n\"Answer: -4*p**3 + 3*p**2 - 5*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 59*m - 407. Give w(11).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**0)**(-1\/6))**(-34) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - g - 15, -1279*g = -5*c - 1276*g + 69. Solve c = -3*l, 21 = q - l + 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077 times -237?\nAnswer: -18.249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkkrkrrkrrrkrr. Give prob of sequence kr.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 26.5. Let v = 6.5 - t. Let l = -3.9 + 4. What is the nearest to l in -5, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87320357 is divided by 2326?\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1631*u = 12986 + 23970 + 2188 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*v**2*y**3 - 4*l*v + 2*l*y**2 - 3*l*y + 40430*v**2*y**3 - 754*v*y + y**3 wrt v?\nAnswer: -2*l*y**3 + 80860*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 2)*4 + sqrt(11) - sqrt(11))**2 - (sqrt(132) + -1*sqrt(132))\/sqrt(12).\nAnswer: 64*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 11. Suppose 0 = -7*n + 17 + 235. Suppose -3*g - 3*m = 2*g - n, m + 39 = 4*g. Which is the nearest to -1? (a) g (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-8 + 0)) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360745\/52472*8\/66.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*o - d, -3*o = -o - 4*d. Let y(u) be the second derivative of 1\/6*u**3 + o*u**2 + 0 - 2*u. Give y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-210)\/(-60)*(-4)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195895373.\nAnswer: 195895373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 11131846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.13 - 21.13. Which is the fourth smallest value? (a) -5 (b) v (c) 4 (d) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199590930 divided by -498?\nAnswer: -400785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.026 < 581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -1 - ((107 + 12 - 38) + -12)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 324047\/20130 + -1001\/61. What is the common denominator of r and 47\/1100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.03 or -32.324?\nAnswer: -32.324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 325 = -92*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101210010 (base 3) to base 14.\nAnswer: -237b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(220)\/(sqrt(250) - sqrt(250)*-2 - sqrt(10)))\/(3*(sqrt(288)*3 - sqrt(288))).\nAnswer: sqrt(11)\/1008 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) 1 (c) -4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -519, -517, -515, -513?\nAnswer: -511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-20)\/(-24)))\/((-10)\/(-1))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 1472285*n**2 - 468565845*n - 37261033875.\nAnswer: 5*(n - 294775)*(n + 159)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4143915947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 5*c**2 - 7*c - 4. Let k(f) = -1 - 2*f**2 + 0*f**2 - 5*f + 4*f**2. Calculate the remainder when v(-5) is divided by k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 8:18 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 8*j**2 + j - 10. Suppose 0 = 4*k - 2*b - 12, 2*k = 3*b - 3 + 1. Suppose 0 = r - 2*a - 9, 0*r - 4*r = k*a + 3. Does 13 divide o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 471385, 942766, 1414145, 1885522, 2356897, 2828270?\n\"Answer: -k**2 + 471384*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 1027*w**2 - 263168*w + 264196.\nAnswer: -(w - 1)*(w + 514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*i + 22*i - 7760. Round i to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:23 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -4*a, -5*a - o = 5 + 2. Let s be a\/(-2)*0\/4. Suppose n = 1, -x + 4*x + n - 22 = s. What is the highest common factor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Let w(x) be the third derivative of 1\/15*x**3 + 0*x + l - 3\/50*x**5 - x**2 - 11\/300*x**6 - 4\/525*x**7 - 1\/60*x**4. Suppose w(z) = 0. What is z?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 + 201*k\/4 - 50 = 0. Calculate k.\nAnswer: 1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -975 - -9?\nAnswer: -96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 - 11*n**2 - 10*n + 25. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-294)\/(-35))\/((-2303)\/(-658)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20055 and 3728511?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-34727)\/44)*35\/15)\/(2\/(-9))\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0019684 to 5 decimal places.\nAnswer: -0.00197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 421.\nAnswer: -4\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 p when three letters picked without replacement from {o: 7, r: 2, p: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -15*c**2 + 6*c. Let y = 12 - 10. Let i(m) = 3*m**2 - m. Let n(k) = y*q(k) + 11*i(k). What is the second derivative of n(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286\/312*-8*1\/2\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -43*r**3 + 5*r**2 + 5*r - 5. Suppose -2*s = 3*j + 2*s - 35, -3*j + 3*s = 0. Let a(m) = 21*m**3 - 2*m**2 - 2*m + 2. What is j*a(h) + 2*w(h)?\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + x - 5. Suppose -4*m + 39 = 3*z, 0 = -46*m + 42*m - 12. Calculate the remainder when c(4) is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) -1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -920 + 4. Let x = -905 - w. Suppose 2*l + 0*l = 0. Solve 4*g + l*g = 5*q + 33, -2*g - x = 3*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 31. Let g be a(-16). Let n(s) be the third derivative of s**5\/30 + s**4\/24 - s**3\/6 + s**2. Let f be n(g). Solve 8 = 2*y - f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 2*v)*(-2*v**4 + 4*v**4 + v**4) + (-3*v**4 + v**4 - v**4)*(0*v - v + 3*v) + (2 + 2*v**2 - 2)*(7*v**3 - 3*v**3 - 3*v**3).\nAnswer: -10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2866995 rounded to 2 dps?\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 27000 divided by 5400\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:08 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -151*c*j*k*p + c*j*p - 3*c*k - 8*j*k*p - j*p - 2*j + 2*k*p + p wrt c.\nAnswer: -151*j*k*p + j*p - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*a - 123*a - 162 = -10*x, 5*x = 10*x - 3*a - 66 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 139. Suppose -2*z + p = -f, -2*z - 4*f = -0*z - 120. Is 14 a factor of 4\/10 - (-1730)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c - 2. What is n(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 30*l**2 + 29*l + 11. Let w be a(29). Let k(n) = -3*n + 5*n - n**3 + 5 + 0*n**3 + 8 + 11*n**2. What are the prime factors of k(w)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 + -65. Let w(v) be the first derivative of 5*v**3\/3 + v**2 + 1. Let x be w(-2). Calculate the greatest common factor of x and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Let i(r) = r**2 - 3*r - 9. Let d be i(z). What is the biggest value in d, 2, -0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17731\/(-5066))\/((-35)\/860).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -9*c**3 - c**3 - 2*c + 0*c**2 - 3*c**2 - 28 + 27. Let m be u(-1). What is the highest common factor of m and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p - 6. Let s(v) = 12*v**2 + 2*v**2 - 17*v**2. What is s(k(r))?\nAnswer: -27*r**2 - 108*r - 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-12)*h)\/h**(-3\/5))**(-1\/30) assuming h is positive.\nAnswer: h**(26\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 6\/2869?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8886600 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444332120 (base 5) to base 12.\nAnswer: 79bab7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of 0 + 0*v**4 + 3*v**2 + 0*v - 1\/56*v**8 + 1\/15*v**5 + 0*v**6 + 0*v**7 + 0*v**3. Find the third derivative of d(q) wrt q.\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4075*x**4 + 12*x**3 + 16368*x**2.\nAnswer: 97800*x + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -19 - 6*g + 2*g + 0 + 0. What is the remainder when c(-9) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0074 + 0.07.\nAnswer: 0.0626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 10*n - 8. Suppose 3*o = -p - 0*p + 32, 5*p - o = 112. Let u = -29 + p. Determine c(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -88*v - 4\/3*v**2 + 0 = 0.\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 2*r. Let d be o(-2). Solve 0 = -5*h + 3*h + d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15 - -1)*(-410)\/287. Let i be (-33*(-8)\/(-20))\/((-8)\/k). Calculate the highest common divisor of i and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l - 12. Let a = -16 - -7. Let r be (-3)\/a*1*9. What are the prime factors of p(r)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p. Let r(v) = 451*v**2 - 121*v - 121. Let n(k) = 15*k**2 - 4*k - 4. Let c(x) = -121*n(x) + 4*r(x). Give m(c(j)).\nAnswer: -66*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 259 + -254. Solve 2*q - v = -p, 30 = -3*q - 0*q - 3*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/7902519 and -73\/327.\nAnswer: 861374571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 8:40 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1836 divided by -1.\nAnswer: -1836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*n - 3*r, 3*r = 6*n - 2*n + 15. Suppose n = 7*f - 1396 - 662. Let l = -133 + f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5\/19 + 78*f**4\/19 + 52*f**3\/19 - 904*f**2\/19 + 336*f\/19 + 64 = 0.\nAnswer: -38, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of z**2 + 25*z - 315. Give x(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 7*a**2 - 8*a - 8. Give h(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1137234783 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*t + 296, 5 + 3 = -4*t. Let u = -32 - o. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100236 and 1968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2533440 divided by -78.\nAnswer: 32480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(9\/30) - (-1)\/(-3). Suppose -2*h - 5*f + 20 = 0, -3*h - 20 = -h - 5*f. Suppose h = -v - v. Solve -j*z + 2*z + 2 = v for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 57 + 5)*(2 + 8 - 1)*(-6*w + 2*w + 3*w).\nAnswer: 567*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3836 is divided by 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 8:56 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 3*m - 3. Let o(d) = -2*d - 2. Let b be ((-1)\/2)\/(4\/(-16)). What is b*i(a) - 3*o(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23103 - -23104. Which is the fourth biggest value? (a) 12 (b) 11 (c) -0.3 (d) 0.04 (e) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-108)*141)\/(136\/(-612))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5013 - 1679 - 1672 - 1662 - 62*o**2.\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/5 (b) -4.1 (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n + n**2 + 16 - 18 + 0*n**2 + 2*n**3 as q*n + x*n**2 + v + z*n**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -5500?\nAnswer: -1\/5500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34370 (base 8) to base 7.\nAnswer: 60343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*f - 7*f + 3*z, 3*f - 5*z + 11 = 0. Suppose 4*h - 3 = 5. Suppose -o - f = h*o, -g + 5*o = -8. Solve 9 + g = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-111)\/148*80\/(-12). Solve -q*l - 6 = 4, -2*l = 5*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-4) + (-516)\/(-16). Suppose r = 3*r - g. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3\/7 + 118*q**2\/7 - 110930*q\/7 + 551450\/7 = 0.\nAnswer: -269, 5, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1878 divided by -3.\nAnswer: -626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34cb6 - 13a?\nAnswer: -35012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1515.\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 0.0406?\nAnswer: 0.00812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/8, -53, -0.4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24\/(-60) + ((-134)\/(-10) - 2) and 52.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 - i**2 + 0*i**2 + (2*i - 4*i + 4*i)*(0*i + 4*i - 2*i) - 1 - 2*i**2 + 1.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {k: 2, z: 11}.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2749397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -82569*g - 262278. Let u(z) = -2*z - 6. Determine -2*s(k) + 87426*u(k).\nAnswer: -9714*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 12:19 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -267, 4, 0.\nAnswer: -267, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1041*d - 30763 = 7606 - 1934 for d.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 10*j**2 - 10*j - 3. Let h be r(11). Suppose -2*t = -3*p + 10, -3*p = -5*t - 33 + h. Let u be (-2)\/4 + (-20)\/8. Which is greater: u or t?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20208011.\nAnswer: 809, 24979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1360, -2622, -3828, -4984, -6096, -7170?\n\"Answer: -p**3 + 34*p**2 - 1357*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140679 is divided by 139672?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12409913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/5 - 18*o\/5 + 7473\/5 = 0. Calculate o.\nAnswer: -53, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117704 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -107, 219419, -0.4?\nAnswer: 219419","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -3. Suppose -z + d*z = 10. Solve -w**2 - 4*w**2 + 0*w**z + 5*w**5 + 5*w**4 - 5*w**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*j + 24*j - 47*j - 39)*(-3*j - j + 3*j) to b*j + o*j**2 + k and give b.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 11:22 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, c: 4, k: 1, m: 1, y: 2, p: 4}. What is prob of picking 1 p, 2 c, and 1 k?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -13. Let l = 3 - 0. Suppose 0 = 3*f - 9 + l. Solve 2*x = -5*q + f*q + y, 8 = 4*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*r - 20 - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 112. Suppose p = -0*k + 4*k. Suppose 0 = -5*r + 4*l + k, 2*r - 20 = -r + l. Calculate the least common multiple of 9 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 311\/94 - -23749\/564. Let z = p + -189\/4. Calculate the common denominator of 63\/146 and z.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-8\/5))**33*v**5\/v**20 assuming v is positive.\nAnswer: v**(519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156872 by -4.\nAnswer: 39218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (-2 - 0) + (4 - -2). Solve 3*i - 4*i - 13 = a*c, 2*c - 21 = 5*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -12*(-114)\/336. Is 5 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.801 and 3?\nAnswer: -53.403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13068)\/(-3267) - ((-335)\/20)\/(1 + 14\/(-8)).\nAnswer: -55\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 387*z - 394*z + 18, -4*z = 5*r - 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 23.3. Let b = -4 - -2. What is the closest to 0 in 1\/3, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17648 is divided by 92.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2) + 1 - 85\/(-238)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 5*i**3 - 1 - 1 + 2*i + 0 as p*i**2 + t + n*i + j*i**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*y + 5*t, 3*t + 49 - 37 = 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2*l + 13 = i, 23 = l + 5*i. Suppose 0 - 6 = -l*p. Solve -3*t + 4 + 3 = -2*k, 3*k - 22 = -p*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061777.\nAnswer: 19, 29, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*j - 4*h, -5*j - 3*h - 2*h = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/6*2 - (-10 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 13) to base 16\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 5713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 11*n**3 - 2*n**2 - 39*n + 44. Determine y(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 19771730.\nAnswer: 217489030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60918 is divided by 12178?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16100*w = -8450*w - 8164*w - 11822 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12*v - 10*v + 18, 0 = 4*f + v - 13. Is f >= 32\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - 30. Let s = d - -181. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 18\/59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, l: 2}. Give prob of picking 4 q.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -106035 and -105502 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2147 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -11. Suppose 35 = -n + z*n. Let m(v) = 2*v**2 + v - 2. Calculate the remainder when n is divided by m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 + 24794*l**2 - 27517097*l = 0. Calculate l.\nAnswer: -27767\/3, 0, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 134678 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 30*z - 55 = 25*z, -2*y - 7*z = -86 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 13*w**2 + 2*w + 15. What is b(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*x - 20, 183*x - 182*x = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -1\/3, -1\/433, -11, -1.4?\nAnswer: -1\/433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9263 (b) 0 (c) -3\/4 (d) 0.019\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/137 (b) 4 (c) -1\/4 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 9. Let i be z(0). Let t be ((-3)\/i)\/((-2)\/(-66)). Suppose -t = -p + 72. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 + 1 - (0 + 85) - (3954 - 3960)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53046.83km in meters?\nAnswer: 53046830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 21?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebem when four letters picked without replacement from {m: 3, a: 3, b: 1, e: 4}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**4 - k**4 + 3*k**4 + 2739*k**2 - 2739*k**2 + 88*k**4 - 2 + 2 + k**4 + (-k + 2*k**2 + k)*(-k**2 + 2 - 2) + 0*k**4 + 4*k**4 - 2*k**4.\nAnswer: 90*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39006 - -39208. Solve 54*u - 122 = c for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 104 + 317 = 0. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5069, -6\/7, 2, -1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8053945, 8053932, 8053919, 8053906, 8053893?\n\"Answer: -13*k + 8053958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 3885?\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 33623440577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**3 - 2*v**2 + 56*v + 57. Give g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 4. Let a(r) = -4*r - 4. Let q(h) = -2*a(h) - 3*s(h). Let o be q(-13). Which is smaller: 8 or o?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 20. Let j = s + -8.2. Suppose r - 5*i = -17 - 2, 5*i - 22 = -2*r. Which is the smallest value? (a) -0.5 (b) r (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6752 and 1477.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2337 * 0.18.\nAnswer: -420.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5806033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = z - 10, -6*c - 28 = -10*c + 2*z. Let h(q) = -q**2 + 7*q + 5. Let k be h(7). Put -5, c, k in ascending order.\nAnswer: -5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + i = 132. Suppose -39 = -4*q + i. Does 3 divide (-1)\/(-3) - (-174)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 - 65790*k**3 + 216481980*k**2 - 432700840*k = 0. Calculate k.\nAnswer: 0, 2, 6578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 4*o - 9. Let i(s) = 7*s**2 - 140*s - 140. Let w(u) = -3*i(u) - 24*v(u). Let w(q) = 0. What is q?\nAnswer: -106, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303432901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42971.\nAnswer: 97, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdiuukkk. Give prob of sequence uk.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -2035065.\nAnswer: 13\/678355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-20 + 7 - -42).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -5*i**4\/4 + 10*i**3 - 45*i**2\/2 + 20*i - 1259. Let h(p) = 0. What is p?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-691 - 50\/(-10))*-1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -607 - -1161. Let x = d - 43. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/135*-9)\/((-27)\/450)*3\/12\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5 = h. Solve -4*n - 3 = -15, 3*t = h*n - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8\/28177 - -28241\/225416. Find f, given that -x*f**2 + 5\/8 - 1\/2*f = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1586 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 257277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -54*v**2 + 8*v + 7. Give m(-1).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.09994 rounded to 2 dps?\nAnswer: -15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49\/10, 171, -2\/3, 3 in descending order.\nAnswer: 171, 49\/10, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*p**5 - 65490*p**4 + 689703*p**3 - 273270*p**2 - 27600*p = 0. Calculate p.\nAnswer: -920, -1\/12, 0, 1\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 760 - 278. Let s = -285 + b. What are the prime factors of s?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - b25a856?\nAnswer: -b25a85b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4, 0 = 2*i + i - 5*w - 14. Let l(v) = -v + 5. Let z be l(i). Suppose 3*o - z*y - 317 = -0*o, -5*o + 519 = -y. What are the prime factors of o?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 - 1 = 0. Let o be (-1 - 3237*-173)*(-40)\/p. Round o to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 19*s**2 - 62*s - 54. Give m(22).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17475 and -20993922991?\nAnswer: 20993905516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*f + 163*f + 6369 = 461*f - 615 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 85, 107, 127, 139, 137?\n\"Answer: -r**3 + 8*r**2 + r + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 3*k - 1 + 0*k)*(9*k + 0*k - 192*k) to the form z*k + r*k**2 + f and give z.\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 35*t**2 - 234*t - 489. Determine s(41).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 12*b - 32. Let o be h(10). What are the prime factors of 1\/4 - 897\/o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 5*d - 5, -2 = 506*u - 508*u - 2*d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -8550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - 3414764598?\nAnswer: -3414764597.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10408841.51 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -66215 and -394797?\nAnswer: 328582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/12 - 110*s + 7. Let b(h) = -h**2 - 3*h - 31. Determine b(p(a)).\nAnswer: -a**4 - 3*a**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1718757*d**2*t + 18817496*d**2 - 3*d*t - 16*t wrt t?\nAnswer: -1718757*d**2 - 3*d - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -11102120121?\nAnswer: -11102121001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14\/(-5))\/((-50)\/68375). Is 8\/12 + i\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111303220 (base 6) to base 8.\nAnswer: 7575274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4*u**2 + 6*u - 11. What is the tens digit of o(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, -1946 in ascending order.\nAnswer: -1946, -11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*t, 2*t - 3*t = -g - 7*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -2*i**3 + 226*i**2 + 7666*i + 32430 = 0?\nAnswer: -23, -5, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)\/(-2) + 19. Suppose o = 9 - v. Which is smaller: -7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 40 = -50 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22904689 to the power of 1\/2, to the nearest integer?\nAnswer: 4786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4692 is divided by 196?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 4:40 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 + 5. Suppose -3*q = -5*w + 5 + 22, -3*q = 2*w + 6. Let m be j(q). Let u = 0.21 - 1.21. Sort m, -0.2, u.\nAnswer: u, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 - 21*j**2 - 14*j - 25. Let o(h) = h**2 - 19*h - 10. Let v be o(19). Let p be c(v). Solve 6*w = 2*w + 5*q - p, 2*q = 6 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 4. Let x = -1 - i. Let r = -0.247 - -0.047. What is the second biggest value in 4, r, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeebbbebebbeeb. What is prob of sequence eb?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 159034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4992210 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**2*i*v*z + 2*f**2*i*v + 33*f**2*v**2*z + f**2*v*z - 2*f*i*v**2*z + 2*f*i*v*z - 424*f*v*z + i*v - 2142*v**2*z - 120*z wrt v.\nAnswer: 66*f**2*z - 4*f*i*z - 4284*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1000001111001 (base 2) to base 5\nAnswer: 113332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 649015892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -581860*q - 7*q**2 - 581869*q - 581863*q + 11*q**2 + 1745592*q.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + b - 2. Let y be v(-4). Suppose 5*l - 5*t - 40 + y = 0, l - 4*t = -9. What is the remainder when 43 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*d - 22783 = -1735, -15776 = -3*y - d. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmvvmvm. What is prob of sequence vv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 62 + -26144252?\nAnswer: -26144180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*o - 1012374 = 10865. What are the prime factors of o?\nAnswer: 7, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18835334.\nAnswer: 2, 7, 139, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 128, 1, 3.59, -4\/5 in ascending order.\nAnswer: -3, -4\/5, 1, 3.59, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 3)*(-2 + 2*l + 2) + 3*l + 0*l - 4*l + (-163 - 104 - 60)*(-2*l + 2 - 2).\nAnswer: 657*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-189)\/(-8))\/((-9)\/(-6)) and -41\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.701 + 0.199. Let q = 8.533 - f. What is q rounded to two dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -4. Suppose 16 = -4*z, -2*z + 64 = -4*k + i*z. Let o = 58 - k. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400.2465 milligrams in kilograms?\nAnswer: 0.0004002465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 180309*w**2 + 112*w - 114. Is i(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -77.8. Let i = 116 + -90.05. Let r = 26 - i. What is the smallest value in 1, y, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - v**2 + v**2 + (-2*v + 1 - 1)*(-5*v**2 + 3*v**2 + 4*v**2) + (3*v - 3*v - 4*v)*(26*v - 8*v**2 - 26*v).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 2, s: 1, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/10*(-6 - (-60)\/(-40)). Let a(y) = 3*y + 2 + 2 - 3. Let m be a(1). Solve -m*i + i = -f for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*h*k**3 - 386*k**3 with respect to h.\nAnswer: -99*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(637))**2 + sqrt(637).\nAnswer: 77*sqrt(13) + 3190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*p*w - 117*d**3*p + d**3*w + 148*d**3 + 13*d**2*p*w + 348*d**2*w - 43*d*p*w - 3*p*w wrt d.\nAnswer: 6*p*w - 702*p + 6*w + 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -205, -2\/13 in increasing order.\nAnswer: -205, -2\/13, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12406 divided by 2?\nAnswer: -6203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/252 and 47\/56781?\nAnswer: 1589868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 517.\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32010289 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(432)*3).\nAnswer: sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:05 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 136b7 (base 12) in base 2?\nAnswer: 110100100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**15\/((a\/a**(-3)*a)\/a**2))**(-37) assuming a is positive.\nAnswer: a**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uee when three letters picked without replacement from uceezzl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**7\/1260 + l**6\/120 - l**5\/30 + l**4\/24 - 7*l**3\/6 + 2*l**2 + 19. Let k(o) be the second derivative of m(o). Give k(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -140, -550, -1232, -2186, -3412, -4910?\n\"Answer: -136*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 13160 = b. What is the tens digit of (b\/(-10))\/(4\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 2*v + 1. Let w be n(1). Solve w*l - 2 = -2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r - 2. Let m(z) = z**2 - 6. Calculate m(k) + 2*y(k).\nAnswer: k**2 - 2*k - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*x = 23, 4*a + 0 - 16 = -x. Let j(u) = -4*u - 4*u + a*u + 1 + 7*u. Give j(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 - 1432*c**2 - 23 + 13*c**3 + 17 + 35*c**2 - 115*c**2 to the form f + i*c**2 + p*c**3 + y*c and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 604037 is divided by 1499?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -1\/4 (c) 0 (d) 818 (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*b + 69, -185 = 5*r - 3*b - 38. Let a be 4*2\/12 - (-72)\/r. Is a at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 27*n**3 + 108*n**2 - 2160*n - 15552.\nAnswer: (n - 9)*(n + 12)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b36 + -4?\nAnswer: b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h = 11*h. What is the third derivative of h*a**2 + 4*a**2 + 3*a**5 + 3*a**5 wrt a?\nAnswer: 360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28\/5 + -486\/85. Let w be (-1847)\/11 + -1 - -1. Let j = w + 168. What is the nearest to 1 in -0.3, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 1, n: 1, q: 1, r: 1}. Give prob of sequence pg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -49969288 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1288 is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7451895764417 - 2\nAnswer: 7451895764415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 858 + -857. Which is the closest to -2\/7? (a) -15 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19376 + 19330 = -2*o - 4*f, -5*o - 2*f + 27 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*g - 3819 = -1068 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 15*a - 5*a + a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 5. Let u be (5\/2)\/((2\/(-8))\/(-1)). Give r(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3375 + 2975 = 25*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 6. Let l(r) = -r**3 + 6*r**2 + 4. Let h be l(y). Suppose -16 = h*u, 4*u - 2*u - 26 = -x. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6225.7 rounded to the nearest 10?\nAnswer: 6230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2\/17 - 42260*n\/17 - 90719250\/17 = 0.\nAnswer: -18705, -2425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/6624 and 61\/25944?\nAnswer: 311328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + ((sqrt(405) + sqrt(405)*-5)*-3)**2*5).\nAnswer: 1749624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -3 + sqrt(1088))**2 + -4.\nAnswer: -96*sqrt(17) + 4357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 1684*q - 198870.\nAnswer: 2*(q - 105)*(q + 947)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from {c: 3, x: 1, n: 1, l: 6, g: 3, k: 3}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 12*j**2 - 16*j - 13. Let v be z(-13). Suppose v = h - 6. Calculate the highest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(136) - sqrt(136)*2)\/sqrt(8) - sqrt(17))**2 - ((1*sqrt(272) - sqrt(272))**2 + sqrt(17) + (sqrt(85) - -2*sqrt(85))\/sqrt(5))) + 1.\nAnswer: -4*sqrt(17) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1961*p = -1964*p + 2*n - 4, -n + 2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 27. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 23.\nAnswer: -0.4, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13509*(-13 - (-325)\/39 - -5). Calculate the highest common divisor of 57 and q.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 32\/400 + (-4)\/50*-19749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8341?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, s: 1, t: 2, h: 2, w: 1}. What is prob of sequence hsm?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*j + 633*j + 383415 = -1783*j - 49570 for j.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 plus 0.114?\nAnswer: 0.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*x**2 + 0*x + 2\/9*x**3 + 0.\nAnswer: 2*x**2*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -988 divided by 1035.\nAnswer: -988\/1035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 51\/5 of a kilometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (0 - (-35)\/3)\/(9\/189)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.49 * -32905.\nAnswer: -16123.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13652, 13656, 13664, 13676, 13692, 13712, 13736?\nAnswer: 13764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.056 - -0.056. What is the smallest value in m, -5\/4, 0, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 2406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4868.998mm in micrometers?\nAnswer: 4868998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -130, -70, -12?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*b)*(3*b**2 - 3*b**2 - 5*b**2) + (-313*b**2 + 113*b**2 + 99*b**2)*(-b + b - b).\nAnswer: 116*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v**4\/11 + 956*v**3\/11 + 5633*v**2\/11 - 33546*v\/11 - 15336\/11 = 0. What is v?\nAnswer: -9, -3\/7, 4, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1649 or 1398?\nAnswer: 1398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -162 times -438.3\nAnswer: 71004.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o. Let w(h) = -6450036*h**2. Determine k(w(r)).\nAnswer: -6450036*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*m - 2319894, 72*u = 4*m + 67*u - 3093170. Round m to the nearest ten thousand.\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3 - 1 + 2*s - 27 + 7 - 5. Let v(a) = -28*a. Calculate l(v(m)).\nAnswer: -56*m - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 1, -45, 12, 596 in decreasing order.\nAnswer: 596, 12, 1, 0, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-8) + 2*(-4)\/32. Let c = -15 + 23. Suppose c + i = 4*j. Solve 3*u + 5*r + 1 = 0, -3*r + 5 = -2*u - j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3730 (base 8) in base 2?\nAnswer: 11111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(19*k**2 - 40*k**2 + 37*k**2).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-167690)\/(-9840) - ((-1)\/(-24) - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aafzlak. Give prob of picking 1 k, 1 l, and 1 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 6*l + 3*l - 14*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 26 = 42. Suppose -i + k = 16. Let p be (((-21)\/(-3))\/1)\/i. Solve -4*v - 1 - 8 = -w, -5*w + p = -v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-2)*22\/(2816\/(-56))*(-8)\/(-28).\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -4. Let x be (5\/4)\/5 - 165\/(-60). Solve x*b - 6*b = -i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114a6 - -6a5?\nAnswer: 120a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9628, -17447, -25266?\nAnswer: -33085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 2 = 3*s, -2*w + s + 34 = 0. Suppose -4*y + 64 = -w. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 - 2*i**3 - 1437 + 1437 - 5*i to the form l*i**2 + x*i + y + s*i**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5 + 41 = 0. Suppose f - 5*f = -m. Let l = -5263.4 - -5263.1. Which is the biggest value? (a) -5 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4820 (base 9) to base 2\nAnswer: 110111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*q + 344 = 66*q. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/39785 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l - 10. Suppose -3*j - 4 = l*i, -2 = j + i - 4. Suppose -n + j = 2. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1*(-3)\/(-18))\/1)\/(1152\/(-512)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2014498428 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -7*q + 117. Let y be s(16). Solve 19 - 9 = -y*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*r**2 + 113*r**2 + 2*r - 62*r**3 - 2*r wrt r.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/715 and -4\/455.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64488928 is divided by 96396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyhhaahaahayyh. Give prob of sequence ayya.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8)*3 - (6 + -3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + 3*j + 4*j**2 + (-6 + 3 + 4)*(2*j - 2 + 2)*(-55 + 81 - 75 - 4*j) in the form a + s*j**2 + z*j and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 0. Let k = -29 + s. Let n = 17.99964 + k. Round n to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 559060163 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(12\/11)*o*o**21\/o)\/(((o*o*o**(-7\/2))\/o)\/o**(-20)) assuming o is positive.\nAnswer: o**(101\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1073.\nAnswer: -429.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 15) + -6 + 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89681507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -53. Suppose -s = -4*h - g + 10, h + g - 9 = 0. Suppose 0*b = h*b - x - 345, -431 = -5*b + x. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {u: 7, w: 3, f: 1, a: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47287453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5 = 0, 2*r - 5*u + 22 = -u. Let h be ((-2)\/(-6))\/(((-26)\/2238)\/r). Factor 346*y**4 + 90*y**3 - h*y**4 + 36*y - 84*y**2 - 12*y.\nAnswer: -3*y*(y - 2)*(3*y - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/56 and -69\/6146.\nAnswer: 24584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 111355 + -54306. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s - 4. Let t = -6 - -2. Let m(g) = -22*g - 11. Let p(l) = t*m(l) + 11*v(l). Let q(o) = o**2. Determine p(q(k)).\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + 13. Let c = v - 51.00262. Round c to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5 + 2388*h**4 + 14468*h**3 + 2508*h**2 - 57808*h - 48240 = 0.\nAnswer: -5, -2, -1, 2, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - a**2 - 2*a)*(-117*a - 58*a - 38*a - 188*a).\nAnswer: 401*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 400*w + 29 - 202*w - 24 - 210*w.\nAnswer: -12*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21621\/29 or 747?\nAnswer: 21621\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*k = 57*k. Sort 7, -4, k, 2 in increasing order.\nAnswer: -4, k, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + (sqrt(288) - -6*(sqrt(288) + -1 + sqrt(288))))*-2)**2.\nAnswer: -112320*sqrt(2) + 1755792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65641*r**3 - 131280*r**3 - 73*r**2 + 65640*r**3.\nAnswer: r**3 - 73*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000151947303 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**5 - 2*s**5 - 3*s**5 - s**5 + 3*s**5 - s**5 + s**5 - 5*s**5 + 3*s**5 + (0*s**5 + 3*s**5 - 4*s**5)*(-2 + 3 + 1) - 802 - 4*s + 802 - 8*s + 4*s**5.\nAnswer: -3*s**5 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 5*s**2 - 178 - 2*s + 2*s**2 + 180 to the form w + r*s + g*s**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340538596*x**4 - 830476845*x**2 wrt x.\nAnswer: 8172926304*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44379 - 44379. Factor 10\/13*n**2 + 12\/13*n + 2\/13*n**3 + j.\nAnswer: 2*n*(n + 2)*(n + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3545, 0.17, 1\/6 in decreasing order.\nAnswer: 0.17, 1\/6, -0.3545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 4142?\nAnswer: 24852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 2*t**2 - 3. Suppose 0*w = -w - 4. Let j be 4\/(-8)*w\/2. Let p be (0 - 1)*j + -2. Give r(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40884*s - 16397*s + 51074*s.\nAnswer: 75561*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 k, and 1 q when three letters picked without replacement from qwjwfjkwfkwkww?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 15850, -148\/3 in ascending order.\nAnswer: -148\/3, -3, 15850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 13) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 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: b\"What is the th term of -381, 619, 3301, 8499, 17047?\n\"Answer: 139*b**3 + 7*b**2 + 6*b - 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -5*t - 2 + 0*t**3 - 4*t**2 + t**3 + 0. Let w be c(5). What is the remainder when 53 is divided by (0 - -1) + (15 - w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 6, 51, 156, 345, 642?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w + 17. Let s(x) = 2. Let a(k) = m(k) - 6*s(k). Suppose 3*v + 0 = -b + 2, 0 = 2*b - 3*v - 13. Let i = b - 9. What is a(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*j + 341, 2*j + 134 = -2*t + 4*t. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**3 + 360*c**2 + 735*c + 370.\nAnswer: -5*(c - 74)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -6*c - 14. Let r be n(-3). Suppose d = -r*h - 4, d - 1 = -3*h - 3. Let l be (-12*d\/(-60))\/(2\/10). What is the highest common factor of 32 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -464580 divided by 10324\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 253\/12*h**4 + 0 + 0*h**3 + 0*h**2 - 144*h. Let t(c) = 2*c. Calculate t(a(f)).\nAnswer: 506*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -147350363?\nAnswer: -29470072.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -329 + 328 - 10*(-2 + (1 - 0))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 18. Calculate the remainder when 13 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -1\/394 (b) 1\/5 (c) -4\/11 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o + 10*o + 6*o**2 - 1151 + 1127 - 3*o**3 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - 9*v - 18. Let d = 137 - 133. Let b = 31 + -24. Let y(m) = -5*m**2 + 4*m + 9. Let r(a) = b*y(a) + d*o(a). Solve r(i) = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -0.269922\nAnswer: -0.1079688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-18)\/(-42))\/((-4554)\/6930)).\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, -0.4, -0.01, -0.04?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 379*m + 109135. What is d(-288)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -210*q**2 - 1160*q**2 - 5600*q**2 - 2292*q**2 in the form x*q**2 + b*q + t and give x.\nAnswer: -9262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5 - 35 = 0. Let t be (-6)\/(-10) + 4\/y. Is (2\/4)\/(t\/322) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1512 (base 8) to base 5\nAnswer: -11332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33 or 78?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202709, -204180, -205649, -207116?\nAnswer: -208581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2. Let a be ((-3)\/(-2))\/(3\/6). Suppose -6 = -5*k + a*k. Let r(h) = -7*h - 7 + k + 4. Calculate r(m(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -437281 (base 10) in base 13?\nAnswer: -124060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 24 = 8*x + 4*g, 3*x + 19 = -4*g. Let v(b) = -8*b. Let t be v(x). Calculate the highest common divisor of t and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8093301791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.332 - -0.193. Let m = -0.138869 - h. What is m rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.727 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7516 and -4197.\nAnswer: 3319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = -2*m - 7. Find the common denominator of (-6)\/(-16) - 518\/80 and m\/(-66) + (-2)\/(-2).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:47 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*o**2*z + 55*a**2*z - 1019*a*o**2 - 2*a*o*z + 5*a*o + 9*a*z + 315*o**2*z + 3*o**2 - 10*o + 1 wrt o.\nAnswer: -4*a**2*z - 2038*a + 630*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -752, -746, -736, -722, -704?\n\"Answer: 2*c**2 - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2009 rounded to the nearest 100?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -15087?\nAnswer: 15085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/2 - -21. Let p(o) = o**3 + 5*o**2 + 5*o - 3. Suppose 2 + 1 = -c. Let s be p(c). Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2949845*m**4 + 2*m**3 + m + 17654069.\nAnswer: 11799380*m**3 + 6*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52275 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - d)*(3 - 3 - 2*d) + 119*d**2 + 144*d**2 + 104*d**2 - 130*d**2 as p*d**2 + c + f*d and give p.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, f: 6, e: 3, v: 5}. What is prob of picking 2 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1620774 and 76200?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/56*18)\/(8\/((-960)\/18))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23 + 5*o**4 - o**2 + 61 + 3*o**2 wrt o?\nAnswer: 20*o**3 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 781852*j - 781802*j = -1350 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -91 + 285. Does 22 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 416 - -127. What are the prime factors of o?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-1 - 3*f + 1)*(215*f - 432*f + 121*f).\nAnswer: 576*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 1, -4, 4, 956\/5, -83, 0 in decreasing order.\nAnswer: 956\/5, 4, 1, 1\/3, 0, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459 divided by 6.\nAnswer: -1459\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15022476 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 0.0915 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a*a*a\/(a*a*(a\/a**(-1\/4))\/a*a*a*a))))**31)**(-2\/9) assuming a is positive.\nAnswer: a**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 576.771 kilometers in millimeters?\nAnswer: 576771000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395785586?\nAnswer: 2, 7, 929, 30431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -b - 4*b - 60, 0 = 4*b. Let r = o - -30. Suppose -r*h + 11*h = 53. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31445938 times -0.3?\nAnswer: -9433781.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2397, 3400, 4383, 5340, 6265, 7152, 7995?\nAnswer: 8788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2911 - -5061. Is 25 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*c + 408980 = 415250 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0.23023?\nAnswer: -11.76977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*((11*b - 9*b - 6 + 23)*(0*b + 0*b - b) + 2*b**2 + b**2 - 2*b**2).\nAnswer: 2*b**2 + 34*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.07, -0.21, -2, -3, 3, 4413?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + 2, 3*t = 5*r - 7*t + 11*t - 17 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33603?\nAnswer: 3, 23, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-5)\/((-4)\/(16\/20))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6055, -48344, -163127, -386650, -755159?\nAnswer: -1304900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11469100 rounded to the nearest 100000?\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*s + 2273 - 3743 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.9 + 0.1. Let p = 616 - 615.2. Which is the second smallest value? (a) z (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*o + 135, 18*h - o = 16*h + 131. Let z(q) = -q**2 + 2 - 64*q - h*q + 0*q**2 + 121*q. What is z(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 17. What is the second biggest value in 3, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86557*n + 462 = 86579*n for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 33101389, 33101385, 33101381, 33101377, 33101373?\n\"Answer: -4*f + 33101393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -512, -511, -510, -509, -508, -507?\n\"Answer: d - 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -740*o - 285. Let j(q) = -97*q - 36. Determine -3*d(g) + 25*j(g).\nAnswer: -205*g - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04600329823 to three decimal places.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1101766*168.\nAnswer: -185096688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*b = -15 + 5, -2*i = -5*b + 10. Solve -24 = -5*k - 3*r, -3*k - 2*r + 15 = -i*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from xvwwxlxellxlwxvxrv?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/2 + -98*(-2)\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 0*i**3 - 3\/4*i**4 + 9\/4*i**2 + 0 - 3\/2*i = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 17.241505.\nAnswer: 17.741505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 10, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (500\/(-19250))\/(8\/(-22)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from vluulvuu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*f - 3. Let t(r) = -11*r**3 - 2*r + 1. Let x be t(f). Calculate the common denominator of -79\/2 and 3\/x*380\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26700, -45182, -63668, -82158?\n\"Answer: -2*w**2 - 18476*w - 8222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 281152 divided by 23?\nAnswer: 12224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 3. Let j = -0.1853 - 9.8147. Which is the nearest to -2? (a) j (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -17*r + 196. Let x be i(4). Let n be (-365)\/(4*8\/x). What is n rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 5*r + 56, 3*d + 4*r + 157 = 0. Is (-1802)\/d*66\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3\/9 + 644*d**2\/9 + 14080*d\/9 + 72400\/9.\nAnswer: -4*(d - 181)*(d + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - 8916?\nAnswer: -88ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 8. Suppose -6*d - 47 = -149. Suppose -12*f = -d*f - 20. What is a(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 0.3 (c) 2\/7 (d) 1\/2 (e) 611\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130013 is divided by 478.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 79515347.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1221337 is divided by 133?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6870540 divided by 39945?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2 - 64*b**2 + 66*b**2 + 0. Let o(a) = -7*a. Give h(o(y)).\nAnswer: 98*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46311200 = 4436*h - 4432*h. What is h rounded to the nearest one hundred thousand?\nAnswer: 11600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 3, x: 1, k: 3, d: 2}. What is prob of sequence td?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 16. Let g(m) = -3*m**2 - 3*m + 66. Let p(n) = -g(n) - 4*y(n). What is p(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0152+32.54\nAnswer: 32.5248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 0*x**3 + 0*x + 1\/24*x**4 - x**2 + 3. Let w(k) be the second derivative of v(k). Let d(l) = l. Give d(w(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 3*r**2 - 4*r**2 + 6*r**2. Let h(t) = 205 - 6106*t + 2*t**2 + 6106*t. What is b(h(v))?\nAnswer: 4*v**4 + 820*v**2 + 42025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 5 (b) 201 (c) -2\/11 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 132697620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/48)\/(1 - 0)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/106 and 13\/31306?\nAnswer: 1659218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(1\/3). Suppose -3*b = -98 + 113. What is the smallest value in b, j, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2*h + 1 - 1 - 3. Let k be m(5). Let q(j) = j - 6. Let z be q(10). Solve b + z = -4*y + 6*b, -2*y - k*b + 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 2*r + 1. Let d be m(-9). Suppose h - d = -3*h. What is the smallest common multiple of h and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 72\/325 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 111 = -5*t. Let l be (39\/t)\/(-13) + 1*39. Suppose -3*a + 4*x + 358 = -2*a, 0 = 3*a + x - 1022. Calculate the greatest common divisor of l and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/((-2)\/29))\/(32*(-111)\/2368)\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 4. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**2 - 1 + 7*c - 7*c)*(-3 + 4 - 2)*(c + c - 3*c).\nAnswer: 4*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 423 - 409 - (9 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*h + 2, 162 = n - 2*h + 156 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:59 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -12. Suppose -5*l - 2*j = -i*j - 534, 0 = 4*l - j - 423. Calculate the greatest common divisor of 15 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 5*j. Suppose -4*o + 31 = -i, 0 = 5*i + j - 29. Suppose -10 = -h + 4*g, -5*h + 2*g - 7*g = -50. Solve 2*a = s - a - h, 3*s + o = -4*a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 218, 216, 214, 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - g. Let v(b) = 3*b**2 + 5*b. Let p(x) = x**3 - 8*x**2 + 1. Let i be p(8). What is i*v(q) + 6*c(q)?\nAnswer: -3*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 836554 to the nearest integer?\nAnswer: 915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.0848706 to 2 decimal places.\nAnswer: -37.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 297, 586, 867, 1134, 1381, 1602, 1791, 1942?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 * -688.5946.\nAnswer: 86074.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2545926433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 1. Let n(t) = t. Let a(s) = -15*n(s) - 6*z(s). Let k be a(0). Suppose -k*h + 16 = -14. Solve -4*u + 0*u - i = 7, -3*u = -h*i - 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -33, 0, 5, -1, 4725 in descending order.\nAnswer: 4725, 5, 0, -1, -31, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42154 by -5.\nAnswer: 42154\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3887691558 rounded to three dps?\nAnswer: 1.389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 2 + -4 + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 225216, 225169, 225140, 225135, 225160, 225221, 225324, 225475?\n\"Answer: s**3 + 3*s**2 - 63*s + 225275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (364 - 110 + 63)*(5*h**2 - 5*h**2 + 2*h**2 + (1 - 2 + 0)*(2*h - 2*h + h**2)) to the form n*h + w*h**2 + y and give w.\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1)*t))**19)**(4\/29)*(((t\/(t\/(t**5\/t)*t))\/t)\/(t*t\/t**(1\/5)))**(-9) assuming t is positive.\nAnswer: t**(119\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5758 less than -146.89?\nAnswer: 5611.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**2 - 698694870*r - 24408726068215845 = 0.\nAnswer: -69869487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 4, -1, -5 in descending order.\nAnswer: 4, -1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11552585 and 1595.\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255497066 to the power of 1\/3, to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 46 = 5*j, 3*j - 4*t - 39 + 13 = 0. Let y = -4 + j. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p - 1. Let j(g) = g. Let s(w) = -9*w - 89. Let y(c) = -j(c) - s(c). Let l be y(-11). Calculate z(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 34. What is the tens digit of r(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -5*r + 3*p, 0 = r - 3*p - 8 + 2. Solve 0 = -2*o - 5*s - r, 2*s + 17 = o - 2*s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeezeeezeeeeeeeee. Give prob of picking 2 z.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/(-2520)*-9*(-3)\/(-129). Which is smaller: m or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273839.\nAnswer: 41, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/4 + 75771*q**4\/4 - 1325397*q**3\/2 + 643756*q**2 = 0. What is q?\nAnswer: 0, 1, 34, 75736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -1\/2*z**2 + 73 - 1\/3*z**3 - 2*z + 1\/4*z**4. Calculate b(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48888 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -1.6, -1, -2\/35?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 975 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13 - 472\/(-36))\/(12\/(-522)) and 67\/1988.\nAnswer: 5964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssuuss. Give prob of picking 2 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -539.1 and -0.1.\nAnswer: 53.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970047, -970057, -970069, -970083?\nAnswer: -970099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130.4 + -130.4. Put 2, a, 14\/5, 5 in ascending order.\nAnswer: a, 2, 14\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 2:49 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 496370 = 3*l, -3*a - 87*l = -92*l - 297788. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12964 + -12963. Is 2\/30779 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 8*d. Let s(o) be the third derivative of -o**6\/180 + o**5\/8 + o**3\/2 - o**2. Let c(h) be the first derivative of s(h). Give 6*c(q) + 11*x(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 236, 350, 532, 776, 1076, 1426?\n\"Answer: -h**3 + 40*h**2 + h + 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -41. Suppose 10*q = 7*q + 3. Let b = q + m. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 143*u**5\/5 + u**4\/2 + 56*u**3\/3 + u**2\/2 - 39. Find the third derivative of t(a) wrt a.\nAnswer: 3432*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 3*r + 4. Suppose 48 = 5*z - 52. Let q be (-2)\/(-5) - (-72)\/z. Determine s(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53, -24, -11, -20, -57, -128, -239?\n\"Answer: -m**3 - 2*m**2 + 42*m - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/147345597 and 38\/3969?\nAnswer: 1326110373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40706 is divided by 12899?\nAnswer: 2009","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.51 take away 0.051196501?\nAnswer: -45.561196501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -295.4 - -294.9. Let j = -6 + 5.99. Which is the nearest to -0.1? (a) j (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -4.04.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w + 2*w - w**2 - 3*w + 0*w**2 + 5. Suppose 8*l + l = 36. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + p - 1. Let v(a) = 2*a**3 - 10*a**2 + 4*a + 4. Let f(b) = 4*s(b) - v(b). Factor f(o).\nAnswer: -2*(o - 2)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -1. Let x(t) = 10 - t + 2*t + 2*t - 5. Give x(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367423455?\nAnswer: 3, 5, 7, 113, 173, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o**2 + 5*o + 11. Let u be (-3)\/6 - 10\/(-4). Let k(c) = 7 + 3*c + c**2 - c**u + c**2 + 2*c**2. Let a = 2909 - 2917. Calculate a*k(w) + 5*h(w).\nAnswer: w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -21*p**4 - 131*p**3 + 630*p**2 - 348*p - 6. Let c(f) = -125*f**4 - 785*f**3 + 3780*f**2 - 2090*f - 35. Let a(b) = -6*c(b) + 35*t(b). Factor a(h).\nAnswer: 5*h*(h - 3)*(h + 12)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 167570195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 2 = -5*o + 3*p, 0 = -3*o + 3*p + 3. Suppose -3*a + o*a = -15. Solve 6*k + a = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*y + 12*y. Let t(s) = 10*s - 30. Let q(w) = -2*w - 1. Let f(k) = y*t(k) + 30*q(k). Let x(i) = -2*i - 4*i + 4*i. Determine x(f(b)).\nAnswer: 140*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 447664\/19985*20\/42*-3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 4*h + 4. Let q be ((-4)\/4)\/((-2)\/6). Suppose q*b = 42 + 15. Calculate the remainder when a(3) is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*l + j + 5, -3*j - 6 = -2*l. Solve 2*i - 10 = -l*h, 3*h + 2*i + 3*i - 25 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 227977621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(3\/(-3)*2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -64*m**2 - 12*m. Let h(c) = c. Suppose 105*y - 348 = 912. What is y*h(k) + d(k)?\nAnswer: -64*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5044 is divided by 2503.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2096 is divided by 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -181, 2\/13, -0.4, 3\/4, 18 in ascending order.\nAnswer: -181, -0.4, 2\/13, 3\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 9:10 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 3*j - 116. Suppose -19*k + 25*k - 18 = 0. Suppose -7*r + 2*r = -4*f + 24, 24 = 4*f - k*r. Calculate the remainder when j is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s. Let f(b) be the first derivative of -4*b**3\/3 + 3. Determine f(u(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295.2 - 32.2. Let s = d - 253. Let k = 6.2 - 6. Put 2, k, s in increasing order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**1*k\/(k**3*k)*(k*((k\/k**4)\/k)\/k)\/(k**(2\/5)*k*k) assuming k is positive.\nAnswer: k**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2940*y - 21287 = 53136 - 26018 + 16275 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 10. Calculate the greatest common divisor of m and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*w**2*x + 9*w**2 - 186*w*x**2 + 5990*w - 10*x**2 with respect to x.\nAnswer: -6*w**2 - 372*w*x - 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 z, and 1 m when three letters picked without replacement from zzrmzbzbz.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 848*a**3*z - 2*a**3 - 4*a**2 - 5928*z - 1 with respect to a.\nAnswer: 2544*a**2*z - 6*a**2 - 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -27. Let r = -156\/35 + 34\/7. Is r bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 6*t**3 - 3 + 0*t**4 + 12*t + 6*t**3 - 3*t**4 - 18*t**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = b, 2*b - 42 = -o - 2*b. Suppose 0 = -h + 2*h - 2*u - 17, 5*u + o = 2*h. Let q = 144 - 94. Calculate the remainder when q is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7125313 (base 8) to base 5\nAnswer: 440104411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 50*j**2 - 18*j - 901. Calculate s(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 89 + 499 = 0. Calculate the highest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**4 - 3*z**3 - 3*z**2 + 3*z. Let s(d) = 1 + d + 0*d**4 - d**3 - 2*d - d**4. Let l(h) = -2*s(h) + v(h). Factor l(x).\nAnswer: (x - 1)**3*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 25. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4031 + -230213?\nAnswer: -221132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 23 = -5*a, -27 = -3*k - 5*a. Let o(u) = 2*u**3. Let y be o(1). Suppose -k*t - 20 = 0, -y*i + t = -i - 9. Solve 1 - 9 = i*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192 - 126. Let g = u + -65.999923. Round g to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166539547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80 * 18393.\nAnswer: -1471440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/69 and -7\/1703.\nAnswer: 117507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 729355577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1\/12, 4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = 3*x, 4*x - 4*m - 2 = -m. Suppose v - r = 41, -2*r = 5*v - 3*r - 221. Is (x*-3)\/(v\/(-4155)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -981, -2, 42, 0.5, 2\/7, 5?\nAnswer: -981","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 1 - 31. Let a = 8 + -16. Let w(i) = -i + 2. What is the smallest common multiple of o and w(a)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*y**4 - 439*y**3 + 6570*y**2 + 3*y - 1 wrt y?\nAnswer: 120*y - 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 155*b - 152*b + 5*m, -20 = 2*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -3*u + 20652, -2*u = -5*l - 0*u + 51687. Does 65 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12230, 12203, 12170, 12131, 12086?\n\"Answer: -3*r**2 - 18*r + 12251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*t + 433 + 96 = 169 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -21.053 and 9.963?\nAnswer: 31.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3049289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - y**2 + y + 15. Let x be m(0). Let k(j) = -j**3 + 20*j**2 + 7*j - 39. Is k(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 1 + (148\/(-32) - -9).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3485 divided by -5\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249 - -273. Calculate the remainder when 525 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8438333 nanograms in grams?\nAnswer: 0.0000000008438333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ele when three letters picked without replacement from {l: 5, e: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 158. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2873521863.3 and -2.338.\nAnswer: -2873521865.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1037 - -1042. Solve -5*g + i*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, w: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5570337 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2622, 10733, 24260, 43209, 67586, 97397, 132648?\nAnswer: 173345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 863*d + 879*d + 2.\nAnswer: 16*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 36*f - 112. Let u be q(3). Which is smaller: u or -689?\nAnswer: -689","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082893648 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1. Let o(t) = -4*t**2 + 3*t - 13. Determine 2*k(f) - o(f).\nAnswer: 4*f**2 - 3*f + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1) + ((-231)\/15 - -10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 6*o - 12. Determine j(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3\/2 - 4055*q**2 + 6245200*q - 1799512000.\nAnswer: -5*(q - 520)**2*(q + 2662)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s - 17. Let b be q(5). Suppose -4*h - j - 89 = 0, 2*h - 4*j - 41 = 3*h. Does 11 divide (-1120)\/h - b\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 0.2, 6.6961423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4*2\/(-4)*24*-1 and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 247, 2780, 9 in descending order.\nAnswer: 2780, 247, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -5*f**4\/4 - 4*f**3 - f + 4. Suppose 31*k - 42*k = -22. Let x(t) = -t**3 - 3*t**2. Determine k*n(s) - 9*x(s).\nAnswer: -s**3 + 3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 9. Suppose w + 2*m = -0*m + 6, -w - 5*m = -3. Let r(g) be the second derivative of -11\/6*g**3 + 7*g**2 + 17*g + 0. What is w*i(h) + 5*r(h)?\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78031512 by 1000404.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k + 9*k - 5*k + 0*k - k + 3*k + (6*k + 35*k - 78*k)*(-3 + 5 - 1) to the form y + q*k and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 628.3486 litres in millilitres?\nAnswer: 628348.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204038693.\nAnswer: 3, 11, 13, 85049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -527451 divided by -2.\nAnswer: 527451\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65819\/1698004 - 1\/6556. Let w = f - 12\/37. Suppose -4 = -5*n + q, 7*n - 4*n - q - 4 = 0. Is w equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.91 + -0.09. Let h = 2096 - 1901.7. Let y = -194 + h. Which is the third smallest value? (a) y (b) 1 (c) m (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78618 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeeeheeeeeeeeh. Give prob of sequence ee.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/23)*v)\/v*v**19 assuming v is positive.\nAnswer: v**(459\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s**3 - 13*s**4 + 11*s**4 + 5*s**4 - 2*s in the form o*s**4 + f + k*s**3 + h*s + g*s**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 94787953 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1451 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17584*m**3 + 5864*m**3 + 5855*m**3 + 5878*m**3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 33474?\nAnswer: -33477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17278*j**3 - 12647*j wrt j?\nAnswer: 103668*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 12798.\nAnswer: 25596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 971*c**3 + 716*c?\nAnswer: 5826*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66880518 a multiple of 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18284660 divided by 1?\nAnswer: 18284660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 25*p - 6*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**8\/33600 + c**7\/12600 + c**4\/6 + 2*c**2. Let a(p) be the second derivative of i(p). Solve a(w) = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0596 + 2.0596. Let i(f) = 2*f**3 + f**2 - f - 2. Let b be i(-2). What is the third biggest value in 1\/3, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-3)\/7 + (-958)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -538752 (base 10) to base 16.\nAnswer: -83880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33\/482 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*j + 4*m, -j - m = 4*j. Differentiate 25*w**2 - 1 + j + 10 with respect to w.\nAnswer: 50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - m + 1. Suppose -2*x - 3 = 3*i - 6, -3*i - 15 = -x. Let q be 4\/(-6) - 8\/x. Let c(u) = -u**2 + 11 - 10 - 3*u + 5*u - 3. Calculate q*f(d) - c(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*h - 18, -5*x - 2 = 4*h - 20. Suppose -55 = -3*y + x*y. Do 54 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 240?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdem when four letters picked without replacement from {d: 1, j: 1, m: 4, s: 3, e: 1, k: 2}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-21) - 1902\/(-42). What is the highest common factor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18195, -18192, -18189, -18186, -18183, -18180?\n\"Answer: 3*g - 18198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 0*w - 2\/3*w**3 + 0 - 11*w**2 - 1\/24*w**4. What is the units digit of d(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34207 + -34034. What is the remainder when 2230 is divided by w?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 78.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -2. Let f = w - 7. Which is bigger: -3 or f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 4, g: 9, t: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 14. Let o(w) = 24*w + 5. Let t be o(-3). Let y = -65 - t. Solve -3*v + k = 2*v + 3*j, -4*j = y*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4012 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 4 - 2*c**3 + 8*c - 520155*c**4 - 5*c**3 + 520156*c**4 as l*c**2 + n*c + x*c**3 + j + q*c**4 and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -66, 177, 420?\n\"Answer: 243*k - 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 7*s - 7. Let m be c(-5). Suppose 587 = -g + 5*g + m*z, g - 3*z - 128 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 11) in base 7?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 223290 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -3 + (-1 + 4 - 3 - (-74 - -75))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45278712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 624, 635, 656, 687, 728?\n\"Answer: 5*t**2 - 4*t + 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 20. Let y be (-3 - 4*-13) + 4. Let t = 57 - y. Calculate the greatest common divisor of o and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3572 divided by -22?\nAnswer: -1786\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 6 + 6)*(-147 + 280 - 135 - 2149*m) as t + n*m and give t.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 74 - (46 - 23) - -9\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 113 + -11 + -79 + (-56 - (4 - 1))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*w**2*x**3 - f**3 + 3*f**2*w**2 - f*w**2*x - 14421*w**2*x**3 + 63*x**2 - 4 wrt x.\nAnswer: -12*f**3*w**2 - 86526*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) 0.5 (c) -22.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 5*n - 34, -5*y - 5*n = 10. Find the second derivative of 13*r + r**2 - 3*r - y*r**2 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18 and -7514?\nAnswer: 135252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 46429963 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d + 259 + d**2 - 275 - 2*d**2. What is m(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23301140 (base 5) in base 7?\nAnswer: 1544013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 6*a**2 + 5. Let p be k(-6). Suppose p*l - 546348 = -188018. Suppose -g + l + 328334 = 0. Round g to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 10, 1\/5, -0.1, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 39*t + 26*t + 9 + t**3 - 106*t + 12*t**2. Is 48 a factor of c(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286588593287.943 + 4\nAnswer: 286588593291.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of 79*o**7\/630 + o**4\/2 + 7*o**3\/3 - 6*o. Let b(q) be the third derivative of p(q). Let j(u) = -u**2. Calculate j(b(y)).\nAnswer: -99856*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5456 - -0.02?\nAnswer: 5456.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = -h - 27. Solve h*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8201175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -102, -202, -302, -402, -502?\n\"Answer: -100*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Let a be 10*3\/(15\/2) - 2. Let m(j) = 6 - 3*j**a + 2*j + 4 - 8 + 0. Calculate m(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/3 - 16. Let z(v) = 3*v. Let x(g) = g**2 + g. Let d(m) = 3*x(m) - z(m). Determine l(d(u)).\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (80\/(-12))\/((-2)\/6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1667 at least -1667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjjdndtrjpdjd. What is prob of sequence dtdp?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 25 = -12*s, 3*g = 3*s. Let y(x) = 67*x + 12. Let t(r) = -268*r - 48. Let z(n) = -2*t(n) - 9*y(n). Is z(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s - 4*s**2 - 397*s**3 - 4*s + 395*s**3.\nAnswer: -2*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1054 and 1.01.\nAnswer: -1064.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 5*l - 8. Let q be g(-7). Suppose b + b - q = -3*p, 0 = 4*b + 2*p - 20. Solve 2*j - 3*f = -b, -15 = 5*j - 0*f + 3*f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3, 1020, 2\/7, 1\/10, 0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 178326330 divided by -11?\nAnswer: -178326330\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/3))**(5\/8)\/(z**6*z**2*z))**(-49))**(-1\/7) assuming z is positive.\nAnswer: z**(-1477\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 + 0*q**2 - q**2)*(309*q - 46*q**2 - 309*q) to g*q**4 + v + i*q**2 + j*q + n*q**3 and give g.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 - 137696*n**2\/3 - 4740322484*n\/3 - 18959086864\/3.\nAnswer: -(n + 4)*(n + 68846)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2881 + 2947. Calculate the greatest common divisor of u and 13882.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ab378 (base 15) to base 8\nAnswer: -2046643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14275493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102955 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -686417 (base 10) in base 16?\nAnswer: -a7951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*6\/(-10) + -1. Let w = 0.4899 - 0.0899. Sort 2, 8, w, d in decreasing order.\nAnswer: 8, 2, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.66302 and 994.\nAnswer: 994.66302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9, 138, 383, 726, 1167, 1706, 2343?\n\"Answer: 49*a**2 - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(143)*1*5*-5)\/(-4*(-3*sqrt(22))\/sqrt(2)*5).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 3)*(3*q**2 - 2*q**2 + 0*q**2)*(0*q - 4*q + 2*q + (-4 - q + 4)*(-1 - 1 + 4) - 2*q + 2*q - 3*q - 2*q + 0*q - q).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 3*p + p)*(-3 - 2 + 2)*(-28 - 12*p + 28 - 2*p + 0*p + 0*p + (0*p - p - p)*(-1 - 3 + 2)).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-40 - -29 - (-6 + 0))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -226.3 + 223.3. Which is the nearest to -6? (a) v (b) 0 (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558603141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(128) + -2*sqrt(128)) + (-3 + -1 + sqrt(128))*2)**2 + 1.\nAnswer: -144*sqrt(2) + 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 492707, 18?\nAnswer: 492707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**2 - 2*a - 3 - a - 3*a**2. Let n be g(-3). Let u(b) = 2*b**2 - b. Does 12 divide u(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 18 + (-8 - -8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5)*(1 + 3 - 5 - 2*s).\nAnswer: -10*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777368830 to the power of 1\/4, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 60 + 16)*(-k + 4*k**2 + 6*k**2 - 7*k**2 + 2) as b + v*k + n*k**2 and give n.\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 13. What is the smallest common multiple of 10 and s(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -48, -505, 4 in increasing order.\nAnswer: -505, -48, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2927 is divided by 2561?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*u + 2697*u - 5112. Suppose 9\/8*h**4 + 0 + 3\/8*h**u + 3\/8*h - 15\/8*h**3 = 0. Calculate h.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*x**4 - 18*x**3 + 117*x**4 + 2*x + 2*x**3 + 5*x**2 + 9*x**3 + 9*x**3 + 3 to the form f*x**3 + n*x + r*x**4 + m*x**2 + a and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 3*b)*(7 + 0 + 2).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -117, -2 in descending order.\nAnswer: 2, -2, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, -5, 0, -32 in increasing order.\nAnswer: -32, -5, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 60*h**3 + 79*h**3 - 26*h + 30*h**2 + 65*h**3 - 178*h**3 - 28 - 2*h**4 = 0?\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + n + 4. Suppose 17*h = 4*p + 16*h - 11, 4*p - 7 = 5*h. What is r(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25623 at least as big as 19058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 51 and 1581.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + 33*f + 167, 535 = -4*a + f + f - 516 + 1031 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeexxeexxee. Give prob of picking 2 x.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1038*c + 932*c = 1536 + 6626 for c.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:41 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 20*t**3 - 10*t**2 + 43*t + 42. Is 18 a factor of m(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3 = -l, 2*l + 15 = 3*r - 0*r. Suppose -3*o + y + 5 = 25, 5*o = -4*y - 5. Let t be 1 + l\/3 - o. What is the highest common divisor of t and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 590290 < 590289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/3)\/(-2)*66\/48*12\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*q**2 + 342722 - 1340*q**2 - 342722.\nAnswer: -1206*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.0271.\nAnswer: 0.0542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 5*h + 97. Let s(d) = d**2 - 8*d - 148. What is -5*s(j) - 8*u(j)?\nAnswer: 3*j**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -59 + 34*m - 13*m - 30*m. Let j(f) = -6*f - 39. Let v(r) = 5*a(r) - 8*j(r). Let x be v(-5). Solve -3*c - 15 - 6 = -5*g, -4*c - x = 2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20126256 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-21) - 178\/14. Let p = f - -28. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in years?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 28 = 5*t, 7*b + 3*t = 12*b + 24 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 15 = -4*k. Suppose z + 3*w + 2*w + 235 = k, -3*z = -3*w + 651. Calculate the common denominator of ((-20)\/z)\/(3\/(-53)) and 28\/27.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**2 + 32940*n**3 + 6754*n**3 + 4*n**2.\nAnswer: 39694*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1226721136 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-91)\/504 + (-2)\/(-18). Let p be -6*(2\/16 - 0). Which is the second smallest value? (a) p (b) 7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1089349, 2178704, 3268069, 4357450, 5446853, 6536284, 7625749?\n\"Answer: i**3 - i**2 + 1089351*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*n - 2 - 1, -4*f - 3*n + 3 = 0. Let l be (-4)\/(-2) + 30\/(-14). Which is the biggest value? (a) f (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -1. Suppose -6 = 2*n - 5*n. Suppose -36 = -n*f + s*f. Let g(p) = 2*p + 6. Determine g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.05 - 5. Let g = 0.55 - q. Let z = 4.35 + 0.65. Sort z, g, 2\/7 in ascending order.\nAnswer: 2\/7, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 126*l**2 + l - 16*l**2 + 13*l**2 + 35*l**2 to the form y*l + o + b*l**2 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/97 + 92\/485. Let w(v) be the first derivative of -1 - 3\/5*v**4 - 8\/25*v**5 - k*v**2 - 1\/15*v**6 - 8\/15*v**3 + 0*v. What is o in w(o) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 13*b - 112500000. Round b to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 1 (b) 2266.4 (c) 4 (d) 2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a millennium in centuries?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*u**5 + u**3 + 13*u**5 - 7*u**5 + 24*u + 35*u wrt u?\nAnswer: 260*u**3 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3168)*3)\/sqrt(11) + -4)**2 - (5 + (sqrt(98) - (sqrt(98) + sqrt(98)*3 + sqrt(98) + sqrt(98))) + 3)**2) + -5.\nAnswer: 89 + 272*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143723968?\nAnswer: 2, 2245687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -11. Let v = f - -1. Suppose -4*m = -5*a - v*m + 80, 0 = 5*m. What is the remainder when 46 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3364\/286)\/(-2) - -3. Let f = 30\/11 + r. Are f and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -21.977.\nAnswer: 8.7908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) + (-255549)\/49. Is (-4)\/6 + k\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 2*m**2 + 1\/12*m**4 - 2 - 5\/6*m**3 + 2*m. Let s(d) be the first derivative of h(d). What is s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13029169 smaller than 26058337\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**5 - 334*g**4 - 4*g**3 - g**2 - 508279*g wrt g.\nAnswer: 20*g**3 - 4008*g**2 - 24*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/24 + 0 + (-638)\/(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -10 (c) -4 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -818*h. Let p(y) = 32*y**2. Give p(c(i)).\nAnswer: 21411968*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in 2\/7, -41, -0.03, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/90*3*12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/8 - (-11)\/((-352)\/(-764)). Solve 9*z - z = t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4975068 minutes in microseconds?\nAnswer: 29850408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**3 + 465*a**2 - 915*a + 455 = 0 for a.\nAnswer: 1, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 635367689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9310 and 2205?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + u. Let f(g) = -4*g**3 + 13*g**2 - 6*g. Let o be (-4)\/(-14) + 1270\/(-35). Let n = -32 - o. Let z(w) = n*q(w) + f(w). Factor z(c).\nAnswer: -c*(c - 2)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-82)\/170 - ((-2376)\/120)\/33\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11905 - -11896. Let r(k) = 5*k**2 + 46*k + 2. Determine r(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t - 1. Let q(k) = 3*k**2 - 3. Let i(b) = -q(b) - 3*v(b). Let f(n) = -30*n**2 + 4*n - 27*n**2 + 53*n**2 + 7. Calculate 4*f(p) - 5*i(p).\nAnswer: -p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 33237 + 1860 = -3*w, 41804 = 4*w - 4*j. Let n = 18960 - w. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let a(i) = -i**3 + 6*i**2 - 4*i + 3. What is the remainder when 31 is divided by a(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 7530\nAnswer: 3\/1255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -150 + 174. Suppose n*o - 157 = 203. Solve -k - o = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 16\/(-4)) + (-14)\/10. Put p, 0.01, 4 in ascending order.\nAnswer: 0.01, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 785 - 4?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + 9*a**2 - 5*a**2)*(-1 - 2 + 1) + (2*a + 3 - 3)*(3*a + 2*a - 2*a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 4832*c - 634800 = 0. Calculate c.\nAnswer: -1058, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 58*y + 5 - 12 - 6 + 14 + 3*y**3 to m*y**3 + u + v*y**2 + h*y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 1782?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(-10)*(u\/(u\/((u*u**(1\/2))\/u))*u)**(4\/7) assuming u is positive.\nAnswer: u**(-134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (207\/828)\/((66\/(-40))\/((-48)\/(-20)))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3714*0.2\nAnswer: 742.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9709983 a multiple of 783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(17)*5 - sqrt(187)\/(4*sqrt(33)\/sqrt(3)).\nAnswer: -21*sqrt(17)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m + 4. Let z be t(3). Let k = 0 - -0.5. Which is the third smallest value? (a) k (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/4 + 69*c + 5. Let a(y) = -4*y**2. Suppose -2*d = -d + 5*k, -24 = 5*d + k. What is d*a(z) + 7*h(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z**2. Let s(f) = -130*f**2. Give s(t(k)).\nAnswer: -52000*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21248, -23401, -26984, -31991, -38416, -46253?\nAnswer: -55496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14470 - -30421. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1642, -1515, -1386, -1255, -1122?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x**4 + 26661*x**3 + 7*x**2 + 55330*x + 22 wrt x?\nAnswer: -84*x**2 + 159966*x + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5663 by -96.\nAnswer: 5663\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = o - 11*g, 12*g + 5 = o + 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 2e8b?\nAnswer: -2e7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 7) to base 8\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2\/6 - 294\/(-686). Factor 0 - 6\/7*s**3 + 2\/7*s**5 - 4\/7*s - 2\/7*s**4 + m*s**2.\nAnswer: 2*s*(s - 1)**3*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3245 divided by 79593\nAnswer: 3245\/79593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - g + 1. Let c = -56 + 70. Let s(h) = -4*h**3 - 7*h**2 - 7*h + 7. Determine c*x(u) - 2*s(u).\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 32*t = 840. Let o be (24\/30)\/(-3 + t\/(-15)). Put 1, -272, o in descending order.\nAnswer: 1, o, -272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vnv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9610233 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5\/3, -3, -0.1, -81.\nAnswer: -81, -3, -0.1, 0.1, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*w + 17196 - 14100 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -468.3376 times 0.103?\nAnswer: -48.2387728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1594 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*m**5 + 481132*m**4 + 4701744*m**3 + 10470128*m**2 - 2564160*m = 0 for m.\nAnswer: -13355, -6, -4, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 158 + (4 + 0 - 9). Let j = -32 + d. Which is bigger: j or 120?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**4 + 160*w**3 - 12*w**2 - 2.\nAnswer: 72*w + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.52 - 6.52. What is the biggest value in -2, d, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 616*h - 1386. Let a(o) = -o - 3. Determine 462*a(f) - u(f).\nAnswer: -1078*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1\/3, 1\/8, -7 in decreasing order.\nAnswer: 1\/8, -1\/3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 13.4. Let k = -30.6 + q. Let c = k - -33.007. What is c rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 750255566?\nAnswer: 750255566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 PM and 11:28 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**(-11)*(z*z**(2\/3))**43 assuming z is positive.\nAnswer: z**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*b - 461 + 1595 = 0 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665683?\nAnswer: 43, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1708974 and 3896082.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**8\/840 + t**6\/360 - t**3\/6 + 2*t. Let h(n) be the second derivative of s(n). What is the third derivative of h(x) wrt x?\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 0*m + 0*m**3 - m**2 + 1\/24*m**4 + 9\/20*m**5 + 0. Let d be i(2). Calculate the greatest common divisor of d and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vvpplvppp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {k: 1, x: 1, z: 3, j: 2, f: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/3*14\/4. Suppose 5*w - 56 = t - 5*t, t = -4*w + 36. Suppose -w = -5*h + 12. Solve h*d = 2*g, 9 = d - b*g + 2*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/2*1*2\/(-25).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfffwxxfxxffxwwfw. Give prob of sequence wwx.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119\/6 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30212 - 14?\nAnswer: -30231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 2*z + 110. Suppose 0 = -6*m + 9*m - 33. Calculate the greatest common factor of m and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i - 21. Let x(n) = -n - 7. Let z(s) = -3*g(s) + 8*x(s). Let t be z(-5). Solve -j = t*j + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*p - p. What is the smallest common multiple of 68 and p?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187790 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*v**2 - 86829*v + 45 + 86829*v - 111*v**2 + (v - v + 2*v)*(0*v - v + 3*v) - v + v + v**2 + 5*v**2 - v**2 - 3*v**2 to f + j*v + u*v**2 and give u.\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06514*-0.935.\nAnswer: -0.0609059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2441 - -8002. What is the thousands digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**2 - 17472*m - 52452 = 0.\nAnswer: -3, 4371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6198a5 (base 11) in base 15?\nAnswer: -1497c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3218813*x**3 + 553477*x**2 wrt x.\nAnswer: 19312878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69143 rounded to the nearest one thousand?\nAnswer: -69000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -513 by 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191*24.\nAnswer: 4584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 34346190?\nAnswer: 240423330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.19 + 3.19. Let q be (1 - 9)\/((-2)\/1). Suppose -n = q*n. What is the nearest to -0.3 in n, y, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5315592 divided by -12.\nAnswer: 442966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 216 + -8b5a9?\nAnswer: -8b393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/15 - o**4\/12 + 25*o**2. Let i(m) = -4*m + 2*m + 4*m - 5*m**2 + m. What is -3*i(q) - 4*z(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -49\/6, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*p + 3*p - 6*p. Sort -5, p, 16.\nAnswer: -5, p, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + ((sqrt(28) - 2*sqrt(28))*-3)\/sqrt(4))*3)**2.\nAnswer: 162*sqrt(7) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 316 + -196. Suppose -4*f + 3*f = -8. Let p = f - -7. Calculate the greatest common divisor of p and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78 - -68) + (0 + -2 - -2) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196 divided by 470086.\nAnswer: -98\/235043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -10, -570, -3, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2041022 (base 5) to base 11\nAnswer: -23507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 2*c = 74 - 62, -4*u - 2*c = -0*c + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6360)\/(-13200) + 2\/(-11). What is the third smallest value in y, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44 - 40 - (-114)\/(-27). Which is the third smallest value? (a) -9 (b) 3 (c) t (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*s = 14 + 31, 85 = 2*i - 3*s. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 2*u + 15*u)*(4*u**2 - 4*u**2 + 2*u**2) + (2 - 3 - 1)*(5*u**3 + 0*u**3 + u**3).\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14 + 8*c**2 + 14 + (2*c**2 - c**2 - 3*c**2)*(110 + 103 - 44).\nAnswer: -330*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4688482*o**4*y + 27*o**4 + 15688802*o*y - 30*o wrt o?\nAnswer: 56261784*o**2*y + 324*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -595729.376 rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18346 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 20 in decreasing order.\nAnswer: 20, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**2 + 22*d**2 - 10*d**2 + 4 - 4 + d. Let h(y) = 9*y**2 + 4*y. Give -h(g) + 4*m(g).\nAnswer: -13*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 3844?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 31 + (-72 - (-120 + 65)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -5*d + 30 + 9, o = -4*d + 24. Suppose -4*k = -d*k + 90. Let w be (-18)\/(-2) + 3*-1. Calculate the greatest common divisor of w and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 5*b - 4*y + 1, 3*y = -6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4304\/56 + 0 + 3344\/1064?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 855.25.\nAnswer: -59867.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:10 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 7, 6, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8*d**2 - 4*d - 5. Let v(u) = 31 - 32 - u**2 - 4*u**2 - 3*u + 3*u**2 + 2*u. Determine -2*g(n) + 9*v(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - ((-24)\/3 + 3). Suppose y*f - 66 = -18. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8822600 is divided by 469?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 952, 3786, 8522, 15160?\n\"Answer: 951*t**2 - 19*t + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 129 and 11.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1042, 1733, 2424, 3115?\n\"Answer: 691*p + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -154 - -231. What are the prime factors of k?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352321*n = 352358*n - 666 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 + 67680*y - 14874916 = 0. Calculate y.\nAnswer: -17137, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/908604 and -1\/1362906?\nAnswer: 2725812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100210902?\nAnswer: 2, 3, 11, 19, 157, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*y - 17, 3*y = -0*y - 4*k - 14. Suppose 0 = 2*i - y - 2. Solve w - 2*v - 8 = i*w, -3*w - 4*v = 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7122 + -6951. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1182 - -3811?\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s + 6. Let p be v(-5). Suppose 4*u + 7 - 24 = -5*t, -3*u - p = -2*t. Solve t*g + 5*x = 5, -g + x = -3*g + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -2 - (0 + 10 + (102 - 121))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m - 3. What is the remainder when y(9) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 9) in base 2?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*a - 5207 - 2286 = 11155 for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.663 - -0.02246\nAnswer: -2.64054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, s: 2, o: 2, z: 7}. Give prob of sequence zsos.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.788 and -0.1022.\nAnswer: -0.8902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + (-3 + (0 + sqrt(1900))*6 + 5 + -1 + sqrt(1900))*-2).\nAnswer: -420*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 257*r**2 - r**4 + 129*r**2 + 246*r**2)*(2 - 5 + 2 + (5 - 5 - 2)*(-1 - 5 + 7)).\nAnswer: 3*r**4 - 354*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + p - 56, 4*f + 41 = -0*f - 3*p. What is the tens digit of (-409)\/f - (-4)\/(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sg when two letters picked without replacement from {g: 1, s: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.21, 5, -0.0114?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 347117 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015654 to four dps.\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -1, 10, 15, 18.\nAnswer: -1, 8, 10, 15, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 372 in 1\/5, 0.13, -2, -1\/9, -0.02?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227445338.\nAnswer: 2, 3, 7, 53, 139, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r**13)**(1\/5))**(7\/4) assuming r is positive.\nAnswer: r**(-49\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 175 (base 15) to base 7\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5)*u*u**(-1\/4))\/(u\/(u*u*u**(-2)*u*u))**(-18))\/(u*u\/(((u\/u**(-5\/3))\/u)\/u)*u**5*((u\/(u\/u**(-2)*u))\/u)**(-27\/5)) assuming u is positive.\nAnswer: u**(-547\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -3*c + 1. Let x(t) = 22*t - 5. Let f(q) = -5*a(q) - x(q). Give f(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*p**6 - 1109*d*p - p**6 + 123*p**3 - p**2 wrt p?\nAnswer: 240*d*p**3 - 120*p**3 + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from qqiiwwqq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 3)*15*43\/(-1935).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, -5 in decreasing order.\nAnswer: 14, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1199220 smaller than -1199193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-88)\/(1 - 5) + -10. Suppose m = -22*f + 56. Let g be 4 - -2*1\/(-2). Solve g*k = -f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 240\/(-6)*(-3)\/15*(-158)\/79\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (22 - (-31 - (-45 + (-6 - -26))))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6178.915 litres to millilitres.\nAnswer: 6178915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/36 and -61\/23200548.\nAnswer: 69601644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 266 + -261. Suppose t*j = 3*r - 1874, j - 1850 = -6*r + 3*r. List the prime factors of r.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/9 + -25*(-86)\/215.\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, a: 2}. Give prob of picking 1 a and 2 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/3 + 24466*n**3\/3 + 872854*n**2 - 5310530*n\/3 + 2667500\/3 = 0. Calculate n.\nAnswer: -12125, -110, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqseeeeeqqqqseeeeq. What is prob of sequence se?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4\/3 (b) -2\/7 (c) -3\/10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*((-4)\/(-7) + 8823\/(-238)). Suppose -2*m + m + 3 = 0. Suppose -5*w + k + 3*k = -s, m*k + 71 = 5*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1424*z + 740*z + 823*z + 556 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 19*p**2 + 4*p - 76. Calculate r(-18).\nAnswer: 176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/852 and 37\/10224.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2100)\/105*((-2)\/(-4))\/(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26.903 + 1.055. Let b = a - -26. What is b rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -8. Let l(z) = -15*z**3 + 2*z**2 + z. Let v be l(i). Is 380\/v - (-2)\/8 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*h - 89, 0 = 4*g - 7*g - 3*h + 84. What is the third derivative of -27*r**3 - 216*r + 216*r + g*r**2 wrt r?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131 - -22*131100\/(-22000)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 16077344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*m - 3*d - 2, -3*d = 2*m - 39. Let o be (2\/m*2)\/(-1). Which is the third smallest value? (a) 5 (b) -0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -247*c**5\/5 + 323*c**4\/6 + 1433*c. What is the third derivative of d(v) wrt v?\nAnswer: -5928","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -24. Let b(w) = 61*w**2 + 3*w. Let g be b(-3). Suppose 4*n = 3*q + n - 342, -f*q = n - g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-7))\/2)\/((-3)\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (19 - (22 + -24))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 27 + -153725?\nAnswer: -153698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*3 + 2 + -2. Let v be (-130)\/110 + 2\/11. Put 1, f, v in ascending order.\nAnswer: f, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -0.160678 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4048 and 514844.\nAnswer: 47365648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3113740 divided by 13538\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 3*k + 0*k)*(-5*k**2 - k**2 + k**2)*(-4*k + k + k).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6160 - 6159.99985036. What is s rounded to six dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125802 and 1614.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p + 1. Let s(v) = 7*v - v - 21*v + 5*v + 6*v - 4. Determine 22*a(f) + 6*s(f).\nAnswer: -2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*z**6 - 138345*z**5 - 526*z**2 - 13096*z wrt z.\nAnswer: -9000*z**3 - 8300700*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8670, -18, 2\/25.\nAnswer: -18, 2\/25, 8670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -86. Let z = -49 + c. Let j = -7 + z. Which is smaller: j or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*q + 21. Find the second derivative of -26*l + 37*l - 3*l**q - l**5 wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -290c3a + -4a?\nAnswer: -290c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -118*x**2 - 17*x. Let a(c) be the third derivative of -c**5\/30 + 2*c**2 + 652. Give n(a(z)).\nAnswer: -472*z**4 + 34*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1048 and 240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112768 is divided by 466.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 9:13 AM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 813.9794t?\nAnswer: 813979.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 110. Calculate the remainder when 968 is divided by g(82).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsirirsprippr. Give prob of picking 1 p and 1 i.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (587 + (-1 - 0))*431\/862 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 8:59 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/4 - q**3\/2 - 2*q**2. Let o be r(2). Sort 4, 1, o.\nAnswer: o, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12555 + 1?\nAnswer: 12556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 24*g - 20*g)*(-2*g**2 - 1 + 1 - 4*g).\nAnswer: 88*g**3 + 176*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 51433 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-3) + (4 - 50\/15). Let y(x) = x - 4. Determine y(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w**2 + 0*w - 1\/3*w**3 + 1. Let v(m) = 2*m. Give v(q(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of t**5 - 343461*t**4 + 1336*t**2 - 385 wrt t?\nAnswer: 60*t**2 - 8243064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 150*a**2*o**4 + 4*a**2*o**2 + 12*a**2 - 16*a*o**3 - 492*a*o**2 - 14*o**6 wrt o.\nAnswer: 3600*a**2*o - 96*a - 1680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/910 and -59\/2?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 - (7 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 969 and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.23 - -1.03. Which is the third smallest value? (a) u (b) -1\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 + -9 + 2)) + 13 + -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -15709194\nAnswer: 628367.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, i: 5, r: 2, e: 3, q: 1}. What is prob of sequence ryi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12565 and 75390?\nAnswer: 75390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**2\/4 - 1699953*h\/2 - 2889840202209\/4 = 0?\nAnswer: -1699953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3, -6\/13, 2\/7, 1, -84, 1\/5, 4\/2071?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -460601 (base 8) in base 12?\nAnswer: -76369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1*-8)\/((-2800)\/(-56) - 48)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 286 - 4036a?\nAnswer: -40094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897 > 150063\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2957330728 to the power of 1\/2, to the nearest integer?\nAnswer: 54381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -2\/21*g**3 - 9\/7*g**2 + 0*g + 61. Solve s(q) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1569 divide 4325733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -53. Suppose 221*g + 336 = 223*g - m, -5*g + 3*m = -843. What is the greatest common factor of u and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q**2 + 6 - 5*q - 9 - 2*q**3 + 3*q - 5*q**2. Suppose 0 = -2*h - 1 + 9. Let j be c(h). Solve 0 = 3*l - j*l + r - 2, -4*l = 5*r + 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72841535153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(8\/5)*-6. Let z = -72 - -58. Which is smaller: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/3, -0.2, 291, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1640 + -1636. Which is the smallest value? (a) 0.2 (b) h (c) -7 (d) 0 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1191929*z + 10672. Let s(q) = -670*q - 6. Give -3*c(g) - 5336*s(g).\nAnswer: -667*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.4, 5\/3, 116, 0.3?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -5, 2 in decreasing order.\nAnswer: 2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pkkkpkkkkk. What is prob of picking 2 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625412099?\nAnswer: 3, 541804033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3)*(-28 + -10) - 5?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) -279 (c) 0.4 (d) 4\/3 (e) -2 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -67.831229 * 3\nAnswer: -203.493687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7263 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:01 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 6:31 AM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*k - 16, -k - k + 3*l - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 67657?\nAnswer: 270628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from {o: 1, w: 1, g: 1, n: 2, a: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83 and 257881?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -45. What is the units digit of (-2492)\/(-10) - t\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1805 - 906. What is the hundreds digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 6. Calculate the common denominator of -4*3\/z + (-95)\/6 and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 6*i + 7. Let s(o) = -3*o**2 - 4*o - 7. Calculate -3*s(q) - 2*v(q).\nAnswer: 5*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*s**2 - 2*s.\nAnswer: -2*s*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -405 + 407. Solve -t*u - 6 = 0, -2*k + 5*u + 15 = 2*u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y)\/y*y\/(y**(-5)*y*y)*(y**(2\/3)*y)**(-2\/51)*((y**0)**39)**49 assuming y is positive.\nAnswer: y**(1520\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/144953, 0.5, -0.45 in ascending order.\nAnswer: -0.45, -10\/144953, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*v**2 - 278*v**2 + 131*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 260, 2\/15 in increasing order.\nAnswer: -3, 2\/15, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - (12\/2 + -3 - 3). Let w(c) = c**3 + 3*c**2 - 11*c - 1. Let l be w(h). Solve o**3 - o**2 - 2 + 3*o + 2*o**2 - 2*o**4 - 4*o**3 + 3*o**l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -227*y**2. Let f(x) = 26*x**2 - 7*x**2 - 11*x**2 - 7*x**2. Determine r(f(q)).\nAnswer: -227*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -117 - -120. Solve -8 - 1 = -i*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -14, 4 in decreasing order.\nAnswer: 61, 4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -108. Let j(h) = -51*h + 95*h - q*h. Let d(k) be the third derivative of k**5\/60 - 2*k**2. Calculate j(d(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14197.77 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**3 - 64*d**2 + 60*d + 72.\nAnswer: 4*(d - 3)**2*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3441060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -11, -1\/46, -2\/13?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19 + -421856?\nAnswer: -421874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (13 - -11) - (2 - 3 - 23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -38 - 25) + -9 + 75\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0*h + 18*h**2 + 14 + h**3 - 11*h**2 - h - 11*h**2. What is the least common multiple of 18 and a(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let s(k) = 5*k + 15. Let q be s(-3). What is i(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40674102*v - 42538711?\nAnswer: -40674102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -144 + 479. Let v = f + -281. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -111*c*n**2 + 373*c + 5*n**4 + n**3 + 9 wrt n?\nAnswer: -222*c*n + 20*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**4\/4 - t**3\/3 + t - 6. Let u(k) = -2*k**3 + k**2 - 1. Give -3*h(n) - 3*u(n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.874 - 0.374. Is z < -0.04?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 1167*w - 7934. What is r(7)?\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/999? (a) -1\/3 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 968.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 227, 236, 249, 266, 287?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10656660*a**6 + 6*a**2 + 72*a + 665 wrt a?\nAnswer: -1278799200*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -15 - 24. Let m = -5 + i. What is the remainder when 15 is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 2:18 PM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -371496 - -12.5?\nAnswer: -371483.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1225))\/sqrt(7))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2809109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -2. Suppose 35 = -2*r - 5*f, 4*f + 13 = 2*r + 3. Suppose 4 = -5*x - 4*d, 41*x + 3*d = 45*x - 34. Put i, 10, x, r in ascending order.\nAnswer: r, i, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**4 + 102 - 2*q**3 - 187 + 89 - q to the form i*q**2 + l*q**4 + b + p*q + o*q**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 452968516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 155.13159 to two dps.\nAnswer: 155.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 257033 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7850376 + -3048418756438\/388315. Let s = h - 949430183\/1553260. Let g = s - -619. What is the common denominator of 53\/7 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**3 + 6*s**2 - 30*s + 15. Let t(b) = -5*b**3 + 5*b**2 - 31*b + 15. Let z(x) = -3*t(x) + 4*u(x). Determine r, given that z(r) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.03 + 0.03. Let w = 1963 + -1979.48. Let i = f - w. What is i rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -200 + -4. Calculate the common denominator of 139\/6*(-5 - -4) and 10\/120*(v\/(-7))\/(-3).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 0)*(-2 - -8 - 4). Let o(c) = -8*c + 8*c + 5 + 4*c**2 - 5*c**m. Let s(n) = -4. Determine -4*o(a) - 5*s(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 5. Let z be o(0). Let j = 7 - z. Suppose 5*f - j*c = -15 + 40, 2*f - 3*c - 21 = 0. Solve 0 = f*t + 3*l - 0*l + 3, -l - 1 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116 + 117. Solve 10*x - 11*x = l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 50501309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**5 - 53845*x**4 - 34*x**3 + 348*x**2 + 17*x - 51 wrt x.\nAnswer: -120*x**2 - 1292280*x - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-45))\/((-272)\/24 - -12). Let k(u) be the third derivative of -4*u**2 - a*u**6 + 1\/24*u**4 + 0*u**5 + 0 + 0*u + 0*u**3. Give k(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2680837 - 6600837. What is d rounded to the nearest one hundred thousand?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(114) + 1*sqrt(114))*3)\/(sqrt(18)\/sqrt(3)*-4 - (sqrt(168)\/sqrt(4))\/sqrt(7)).\nAnswer: 36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t. Let d be x(1). Suppose -f - f = -4. Suppose -f = -5*a + 3*m + 11, -d*a + 1 = 5*m. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 - d - 7. Let a be ((-4)\/(-6))\/(1\/9). Suppose -a*b = -2*b - 56. Suppose -2*r - 22 = 2*h + 2*h, 2*h - b = 4*r. Give m(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3046.69 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q**2 - 4. Let t(p) = -3*p + 1. Let r be t(-1). Let o(v) = 6*v**2 + 5. Determine r*o(b) + 5*k(b).\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -2\/9, -1 in decreasing order.\nAnswer: 3\/4, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 4*u**4\/3 + u**3\/3 - u**2 + 117*u. Suppose -2*a - 2 = -a. Does 11 divide p(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 42. Differentiate 6 + 2*b**2 - b**2 + 10*b**g - 20 wrt b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002052738184 to seven dps.\nAnswer: -0.0020527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -1 + (0 - -1). Solve r*g = 5*q - 2*g + 24, q + g = -3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3985 and 5236469325.\nAnswer: 3985","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*l + 2*c, -227*l - 3*c = -107*l - 119*l + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 28. Suppose c + 3 = y. Let b(z) = -9*z + c*z - z**2. Let d(k) = 2*k**2. Give b(d(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2. Let y(m) = -m**2. Let x(f) = -5*f**2. Let l be 6\/(-9) - (-7)\/(-3). Let u = 9 + l. Let t(p) = u*x(p) - 25*y(p). Give t(v(n)).\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 + 10*t + 36 + 0 + 0 - 3 + t - 6*t + 2*t + 2*t + (-4*t - t + 6*t)*(-1 - 2 + 2) + 2*t + t - 2*t.\nAnswer: 9*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10711488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8559\/19 + 451. Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + -5*sqrt(325)*1)*-3*-1 - ((-4 + 6*(sqrt(208) + (sqrt(208) - (sqrt(208) + -1)) + sqrt(208)))*2)**2.\nAnswer: -119824 - 828*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -533*c**3 + c**2 - 542*c**3 - 519*c**3 - 533*c**3 - 548*c**3 - 543*c**3 + 3269*c**3.\nAnswer: 51*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 396 divide 19635972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/121, 1\/4, 0?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 6*o - 32. What is c(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + -3 + sqrt(180) + -4*(sqrt(180) + (sqrt(180) - sqrt(180)*2)) + 5)**2*6.\nAnswer: 864*sqrt(5) + 6624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4, -t + 8 = -c + 7. Solve 4*d + 14 = -0*b + 3*b, 4*b + c*d = -23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 25.3, 0.03, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s = -55*s + 516. Let z = -110 + s. Find the second derivative of -z*p**4 - 95 + 95 - 41*p wrt p.\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 129 + 148 = 6*i, 2*i - 5*l + 63 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4186 and 702?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:27 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + d - 21249 + 344 = 0, -3*v - 3*d = 15690. Let z = v - -8466. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 54*d**2 + 66*d - 621. What is the remainder when 1030 is divided by l(53)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 - d - d + d. Let g be i(5). Let s(b) = -7*b + 3. Is 22 a factor of s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 - -7.5. Let t = 0.3 - 4.3. What is the second biggest value in z, 0.5, 7\/5, t?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9017 - 1.4017. Put 24, k, -4 in descending order.\nAnswer: 24, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 2\/3 (c) -63\/59 (d) -4 (e) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 128436 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -43*n - 404. Calculate the remainder when 1699 is divided by z(-16).\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(-217*b + 165*b - 707*b).\nAnswer: -3036*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, t: 2, c: 4, v: 2, u: 6}. Give prob of picking 1 u, 1 c, and 2 g.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/75)\/c*c**19)\/((c\/(c**(-2\/39)*c))\/(c\/c**19*c)) assuming c is positive.\nAnswer: c**(899\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8 + ((-2 - -8) + -13)*-490*9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34410070.612 + 34240203. Let a = -169968.612101 - w. Let g = a + 101. What is g rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19151 is divided by 19146.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*h - 118 = 0, -o + 2*h - 96 = -5*o. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16754\/3 + 5585. Suppose 0 = -5*k - 3*g + 2, -4*g = -k - k + 6. Which is the closest to p? (a) k (b) -1\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1 + 324\/(-24). Let t = c + 15. What is the third biggest value in 1\/5, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/33)\/((-1)\/9*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 84306 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 10*a - 71 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-77)*(-49)\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33408971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1191, -2511, -3831, -5151?\nAnswer: -6471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 762687.8 nanometers in micrometers?\nAnswer: 762.6878","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5) + -5 - sqrt(7) - (sqrt(252) + (sqrt(252) - (-2 + sqrt(252))))**2 - ((sqrt(448)*2 - sqrt(448))**2 - (sqrt(7)*3*6 - sqrt(7))).\nAnswer: -709 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.054? (a) 0 (b) -5 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 525871 or 525880?\nAnswer: 525880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353*k**2 + 653*k**2 + 720*k**2.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 5*c**2 - 6*c - 2. Suppose 4*y - 3*y + 5*d = 19, -3*y + 7 = 5*d. Let q be l(y). Let o = q - -13. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/6)*x**(-1\/10))**(-31)\/((x**(-2\/5))**15\/((x**(2\/9)\/x)\/x**4)) assuming x is positive.\nAnswer: x**(-968\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1828.7 - -1934. Let n = k + -105. Let t = -1 - 4. Which is the third smallest value? (a) t (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 565 + -544. Let i(d) = d**3 - 8*d**2 + d - 6. Let h be i(8). Let o be h\/(-9) + (-5682)\/(-54). What is the greatest common factor of o and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/13 + 21088*x\/13 + 168576\/13.\nAnswer: 2*(x + 8)*(x + 10536)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - j**2 - 6*j + 5. Let y be m(4). Suppose -6*i + y = -23. What is the remainder when 89 is divided by i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525449132 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(1\/12))**(-36) assuming r is positive.\nAnswer: r**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 10*a**2 - 8*a - 9. Let b be w(9). Solve -4*c + f + b = 4, 5*f - 20 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*r + x, -8*r + 4 = -5*r + x. Suppose -1777 = -5*y - 3*g, -5*g + 436 - 1153 = -r*y. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -9*q - 95. Does 46 divide n(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.11 times -1.851?\nAnswer: -29.81961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9*t = 4*t - 26, 4*b + 3*t = 0. Solve -3*i + 4*c + 1 = -0, 27 = -b*i - 3*c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g**2 + 5*g + 3. Let i be ((-6)\/5)\/((-15)\/(-50)). Let s be z(i). Let f = -2573\/16 - s. Calculate the common denominator of f and -89\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -146, -474, -998, -1718?\n\"Answer: -98*n**2 - 34*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 342 (c) -1 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 28 = 3*k + 9, 0 = 3*z - k - 1. Let o(s) = 2*s - 2. Let x be o(z). Solve -2*w = -w - x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) 1\/3 (c) -11 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 189676.33 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -a - 6, -2*a + 7 = -2*t + 25. What is the smallest common multiple of 15 and -3 + (2\/a - 290\/(-8))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 + 1 = 0. Let l = 4 - 2. What is the nearest to 0 in -1\/7, l, b?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.70005 - -0.2003?\nAnswer: 2.90035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -444. Let y = 532 - c. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 5*k**2 - 8*k**2 + 4*k)*(4 - 4 + 4).\nAnswer: -12*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -842 - -175933. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 45. Put -1, b, 2\/9 in decreasing order.\nAnswer: b, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/2)\/(25\/(-350)). Let g(y) be the second derivative of 2*y**3 + 11*y**2\/2 - 3*y. Let t(s) = 7*s + 6. Let m(p) = w*t(p) - 4*g(p). Give m(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a + 4403 - 4403. Let z(y) = -y**2 - 7*y + 7. Let i(d) = -3*d + 3. Let p(o) = -14*i(o) + 6*z(o). Determine p(w(g)).\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*1 - (62 - 70). Let x(h) = -3*h**2 + 23*h - 12. Let q be x(v). Solve q*d = 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.5 and 45894.\nAnswer: 45895.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**3 + 58184*z**2 + 1514812*z + 9850672 = 0.\nAnswer: -13, 14572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-45)\/(-6))\/(15\/18). Suppose -124 = -53*u - d*u. Solve -u*x = -8 - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/20, -0.7, 103118?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2498 = -j, -5*j + 4*z + 6107 = -6388. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) + 3 + sqrt(128) + -5)**2) + sqrt(128).\nAnswer: -516 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 s when three letters picked without replacement from {t: 2, s: 1, k: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-328)\/(-144) - 2)\/((-4)\/6) and 70\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 4*m - 7*m - 5*m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 8*w**2 - 8*w + 14. Let d be o(5). Suppose 4*k + d = -n, 0*k + k = -3*n - 1250. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218\/5 - 44. Let d = 91 - 90. Suppose -15 = 7*x - d. Which is the closest to s? (a) 0.06 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*z + 108 - 20, -12 = -3*b. Suppose -269*t + 760 = -117*t. Solve d + z = t*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, -7\/5, 23, -30 in decreasing order.\nAnswer: 23, -7\/5, -30, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 6. Let l be a(4). Which is smaller: 39 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.19 and -588.\nAnswer: -699.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 902281955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2200.05 millennia?\nAnswer: 2200050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 12:16 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3132410 (base 5) to base 8\nAnswer: 146006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7653 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*q + 422, -u - 5*q = 196 + 205. Let p = -120 - u. Is p a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5465 and -0.8.\nAnswer: 0.4372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5904*q**2 + 43*q - 5. Let a be t(7). What is a rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/10)\/(4\/20). Let g = 6 + m. Suppose -4*i + 18 = -6. Calculate the smallest common multiple of i and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbhbhabahahhcah. What is prob of picking 2 c and 2 a?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/78923 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 573808599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2186 + -0.204. What is x rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/6 - p**3 + 2*p**2. Calculate the remainder when (-28)\/(-3)*(0 - -3) is divided by k(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.6 take away 215743.36?\nAnswer: -215438.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 2*c**2 - 9. Let h be q(-3). Let w = 10 - 6. Suppose 7*j - w*j + 9 = h. Put -2, -4, j in ascending order.\nAnswer: -4, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15130 is divided by 275?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30338 or 91018\/3?\nAnswer: 91018\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3287833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - -5. Let m = h + -15. What is the units digit of m*(-3)\/(-45)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 + -254. Let h = -4.3 + 4. What is the smallest value in 1\/5, m, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, 567, -2 in ascending order.\nAnswer: -3, -2, 1, 3, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -473 - 79 = 151*k - 99 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38959378517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 278 - 253. Find the second derivative of 326*j**2 - z*j**3 + 11*j - 651*j**2 + 94*j + 328*j**2 wrt j.\nAnswer: -150*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -492*y + 762*y + 342*y to j + i*y and give i.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*c**4 - 7435*c**3 + 677580*c**2 + 7640740*c + 1664400 = 0. What is c?\nAnswer: -228, -10, -2\/9, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 4*v - 3, -3*o - 18 = 3*v. Is (-2)\/o + (-2765)\/(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 2*i**4 - 2*i**3 + (1 - i**2 - 1)*(0*i**2 + i**2 - 2*i**2) - 3*i**4 + 3*i**4 - 2*i**4 + 2*i**4 + i**4 - 7*i**4.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3131150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 + -9)*(7 + -6)*-83 is divided by 174?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -32. What is the closest to -4 in 3, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2096846 or -2096842?\nAnswer: -2096842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -5*r - 4*j, 3*r - j = -85 - 131. Let t = r - -102. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2083*c = 2*j + 2082*c, 5*j = 5*c + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9.1 (b) 2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/35)\/r)\/r)**(-8)\/(r**15\/r*r*r**20) assuming r is positive.\nAnswer: r**(-681\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w - 3. Let j(t) = -21*t - 16. Suppose -2*z + 21 = -23. Suppose -4*h + z = 3*q, 0*h = 3*q - 4*h + 10. Calculate q*j(g) - 11*m(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1220313 and 10298.\nAnswer: 2440626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 + -3. Let b = -273.16 - -273.059998. Let a = b - q. What is a rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kck when three letters picked without replacement from {k: 2, c: 1, b: 1, m: 1, r: 1, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1647886.\nAnswer: 2, 541, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*1 - ((-192)\/(-56))\/(-3). Let g = 5.9 + -0.9. Put k, -1, g in increasing order.\nAnswer: -1, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17\/49 + -3\/49. What is the nearest to d in -3, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.41 + 1.38. Let w = 1.53 + r. What is the third smallest value in -3.2, -4\/9, w, 1\/4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 158 - 89. Suppose -45 = -2*l - 4*v + v, -4*v = -12. What is the remainder when g is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 - 4*i**2 + 5*i**2 + 0*i + 2*i**2 + 0*i - i**2 + 4 - 4 + (-6*i + 2*i + 3*i)*(-4*i - 4*i + 5*i) + i**2 + 3 - 3.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -920602 - (0 + 0\/3). Let z = -1973032 - g. Let n = z + -3647570. Round n to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from {d: 5, p: 2}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 15*l**3 - 2*l**2 - 3*l + 4. Calculate s(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 143935.2 kilometers?\nAnswer: 143935200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxwwxgxxxwwwgxw. Give prob of sequence gxg.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8534910 to the nearest integer?\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -160.9999907 - -161. Round t to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 23?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**7\/168 - i**6\/40 - i**5\/40 - 34*i. Factor r(m).\nAnswer: -m**3*(m + 1)*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38194369 is divided by 141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10985439 and 837?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -223, -24, 245, 578, 969, 1412?\nAnswer: 1901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 + -69. Let g = -127 - p. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 8 = 2*z, -5*z = 4*h - 332 + 352 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*c = -2934, 5*c - 1468 = 2*a + 7*c. Let f be (2\/(-3))\/(6 + a\/120). Solve -3*i = o - 2*o - 13, -f*i + 2*o = -22 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfflwgwtfwwwww. What is prob of sequence lwlw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**2 + 0*h**2 + 5*h**2)*(-48 - 5*h - 43 + 94).\nAnswer: -5*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -9. Let n = -4 - h. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 5. Let v(s) = s. Let b(f) = f - 22 + 36 + 2*f - 31. Let d(r) = b(r) - 6*v(r). Let q be d(-7). Give j(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -2*j, 3*u + j = -398. Let d = u + 2242\/17. Suppose 5*t + 15 = -4*o, -87*t = 5*o - 90*t - 9. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/7 (b) -43 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364.8428 take away -1?\nAnswer: 6365.8428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0*c*c**(-1)*(c**0)**(9\/4) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/(-6))\/(((-40)\/900)\/((-160)\/(-200))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 917.3 and -30?\nAnswer: 947.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:03 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -149852640 divided by -2497544\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*r = 12*r + 1387 - 3306 - 1271 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = p - 10, 4 = 2*t - 8*p + 3*p. Which is the closest to 2\/3? (a) 0.1 (b) 0.057 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 1:34 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/24*(-1662)\/2216?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250 + -50?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/59? (a) 3\/7 (b) 3.3 (c) -4 (d) 2\/11 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 2*z**6 - 35*z**3\/3 + 19. What is the third derivative of f(c) wrt c?\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 7:55 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(3*s**2 - 3*s**2 + s**2) - 7*s**2 + 9*s**2 + s**2 + 1 + 12*s**2 + 40*s**2 - 27*s**2.\nAnswer: 30*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.49 + -0.4899966. What is i rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -217*s = -238*s - 147 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1702023 divided by 33373.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -369.6293 - 275.5\nAnswer: -645.1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.03589065 (b) 4 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5 - 513*f**4 + 3042*f**3 = 0?\nAnswer: 0, 6, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/5 + 6*a**2 + 21*a\/5 - 54\/5.\nAnswer: 3*(a - 1)*(a + 2)*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + y**2 + y**2)*(0*y**2 - 5*y**2 + y**2 + (y - 2*y - y)*(y + 0 + 0)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2814644\/455 - (-102)\/(-3315)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6762*c**3 + 6949*c**2 wrt c?\nAnswer: -40572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264212 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1 + -6 + 11\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-1*sqrt(180) + sqrt(20))\/sqrt(4))**2.\nAnswer: 12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -17312273 (b) -3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54198055.5 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*x + 513, -3*c - 322 = 5*x + 60. Let s = c + 513\/4. What is the smallest value in s, 2\/9, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -7031, -7\/3, -0.1, -0.2, -3\/2?\nAnswer: -7031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 78854.1 micrograms?\nAnswer: 78.8541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10035)\/2676 + (-245)\/(-60).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.918 and -2.102.\nAnswer: 60.785636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {l: 1, m: 1, z: 3, b: 4, k: 5, d: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 23871056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 10:52 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 3*m - m - 5 - 2.\nAnswer: -4*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33.1? (a) -11\/4 (b) -5 (c) -2\/7 (d) 2 (e) -1\/2 (f) 5\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -4, -5, 1 in ascending order.\nAnswer: -14, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 10 = -2*w, 0 = -5*f + 4*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 531, 248, 18, 5 in ascending order.\nAnswer: 5, 18, 248, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 184*u**2 - 299*u**2 - 35*u**2 to the form h*u + j + y*u**2 and give y.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 25. Suppose -3*m = -5*m - 2*a + 44, -37 = -m - 4*a. Solve 0 = 5*n + 9 + 11, -x*n = -p + m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from pzhhttppp.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + m**3 - 2*m - m**2 - m**3)*(5*m - m - m).\nAnswer: 6*m**4 - 3*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + b**2 - 1. Let j(i) = -2*i + 18. Let y be j(8). Suppose 6 = y*w + w. Let m(h) = -4*h**3 - 3*h**2 + 3. Determine w*m(g) + 6*l(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 81439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.2 times -3?\nAnswer: -201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.4423179nm?\nAnswer: 0.0000000000004423179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l. Let b(a) = 263*a + 1. Give b(q(p)).\nAnswer: -1052*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 141\/(-2)*24\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and -2218998?\nAnswer: -42160962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxaxxxaayxxuxyebxee. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.58 + -0.2?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9.4 + -18.2. Put c, -1\/5, 3 in descending order.\nAnswer: 3, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 4 = -15*i + 2*c, 4 = 4*i + 2*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3 = 0, -n + 0*j - j + 7 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + 1 + sqrt(2))*2.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -149027, -149026, -149025, -149024?\n\"Answer: k - 149028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.76 + -22.76. Which is the closest to 0.03? (a) -5 (b) 0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 29.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90212 is divided by 89673.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/6*9 - 1. Suppose 2*i = -z + 5*z + 16, 2*i + a = -2*z. Sort 4, i, 0, -2\/19.\nAnswer: -2\/19, 0, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343034302 (base 5) in base 4?\nAnswer: -11312130012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5636*j**3 + 106*j**2 - 4*j wrt j.\nAnswer: 33816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3*sqrt(720) + 4 + -2 + 2)**2.\nAnswer: -576*sqrt(5) + 6544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f. Suppose -3*j - 5*x - 21 = -2, f = -j - 2*x - 8. Let a be (-6)\/(-4)*j\/(-9). Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2093*w - 61. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -80*f - 9. Let o(c) = -79*c - 9. Let z(t) = 3*a(t) - 2*o(t). Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27079 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*6)\/sqrt(9).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0459 (b) 3 (c) 28 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-288)\/112)\/((-6)\/112) and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (240\/120)\/(2 - 14\/3). Let j = -4.85 + 16.85. Sort -5\/3, u, j, 2 in increasing order.\nAnswer: -5\/3, u, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-5*(-1 - 0))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u*u\/(u*u**9*u)*u*u*u))\/u)\/u*u*u**(-9)\/u*((u\/(u**12\/u))\/u)\/(((u\/(u\/u**1))\/u*u)\/u))**(1\/5) assuming u is positive.\nAnswer: u**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*p - 9 - 3*p**2 + 3*p**2 - 6*p**2 + 4*p**2.\nAnswer: -2*p**2 - 65*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 20*t**3 + 2*t**2 - 2*t + 1. Let b be i(1). Let m = 10 - b. Let c = m + 10. Are -7 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1501 = 22*z - 379 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8910 and 1293765.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 10:57 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -332, -916, -2056, -3938, -6748, -10672, -15896?\nAnswer: -22606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 16) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*o - 4. What is the third derivative of -f**5 - f**5 - 2*f**2 + 4*f**o + 0*f**2 wrt f?\nAnswer: -120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -425, -3310, -11131, -26354, -51445, -88870?\n\"Answer: -411*f**3 - 2*f**2 - 2*f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13\/2 - 5. Let q = -8.7 + 8.8. What is the closest to -0.17 in 4, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 19 - 25, -3*p - 14 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.798 - -4.798003729. Round s to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 16*o - 6. Is 16 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 6. Let d be m(7). What is the greatest common factor of 39 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssszzz. What is prob of picking 3 s and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*b = 174*b - 112 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o**2 + 9*o + 29. Let q be 2 + 11 + (-6 - -2). Let u(m) = 5*m**2 + 4*m + 14. Let h(t) = q*u(t) - 4*l(t). Find the first derivative of h(p) wrt p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9703005797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -117, -262, -353, -396, -397, -362, -297?\n\"Answer: -t**3 + 33*t**2 - 237*t + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2121304 (base 7) to base 2.\nAnswer: -111110110101111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, -0.11, -29, 3, -5?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 149914243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -78, 4\/7, 0, 0.1, 52, -1432, 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of 1\/100*r**6 + 1\/150*r**5 + 0*r**4 + 1\/840*r**8 + 0 + 1\/175*r**7 + 0*r + 3*r**2 + 0*r**3. Determine t so that z(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - a = -5*l + 25, -3*l + 15 = -3*a. Let c = 42 - 29. Calculate the remainder when c is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 111168*s**2 - 333477*s.\nAnswer: -3*s*(s + 3)*(s + 37053)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -15, -19, -21?\n\"Answer: m**2 - 9*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 3, 43, 39\/2, 34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -2)*(-2)\/(-6). Suppose g - 4 = -v. Solve -4*h + 2*d = -d - 12, h - g*d - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-528)\/84 + (-70)\/(-10).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -431 or -5612\/13?\nAnswer: -431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.435306122 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -575*z**2. Let v(f) = -23*f**2. What is v(y(b))?\nAnswer: -7604375*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 8. Let i(p) = -p**3 - 3*p**2 + 4*p + 5. Let h be i(-4). Solve -s*f + 4*l = -1, h*l - 3 = -f + 3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 6*h - 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2465549)\/58626 - (-1)\/18.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**22*(j\/(j*j**(-1\/4)))**24 assuming j is positive.\nAnswer: j**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -0.3 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/7)*z**(1\/4))**(-9\/2)\/((z**(-4)*z)\/(z*z**(1\/5))*(z**0)**14) assuming z is positive.\nAnswer: z**(681\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 33 = -20*j. Let t be -3 + -8*j\/4. Solve 8 = -t*g - 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1690 - 131*m - 1690 + (0*m + 3*m - m)*(3 - 6 - 3).\nAnswer: -143*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4022587l to millilitres.\nAnswer: 402.2587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k**4 + 2*k**4 + 0*k**4)*(2*k + 2*k - 5*k + 2*k - 5*k + k + (0*k + 2*k - 4*k)*(5 - 4 - 3) + 2*k + 2*k - 3*k).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -20\/9, -0.2, 1\/8, -6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - -2) + (1 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (34 + -27) - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10440 and 3690?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5) + 0 + (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/4)*t\/t**(-3)*(t**(-1\/3)\/t)\/(t**(-6\/5)\/t)*t**7\/t**(-1)*(t**(-1))**(3\/5) assuming t is positive.\nAnswer: t**(721\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 11. Give z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - m, -2*h = 5*m - 0 + 3. Solve -h = 2*p - 5*q - 12, p + 17 = -5*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289.93 + -294. Round u to one decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5684 (base 11) to base 8\nAnswer: -16461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -w**4\/4 - 3*w**3 - 4*w**2 - 3*w + 2. Let g be y(-8). Suppose 13*s + 1 - 27 = 0. Sort g, 1, s in ascending order.\nAnswer: g, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1274*p**3*z**4 - 17*p**3*z**2 + 4*p wrt z?\nAnswer: -30576*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 25\/2 of a decade?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -36.3. Let d = z + 0.7. Let y = -0.6 + 0.1. Which is the nearest to 1\/4? (a) y (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o - 3. Let i be d(-3). Let x(t) = -t - 11. Let n be x(-12). Factor v**3 - 2*v + 6*v**2 - 3 + v**i - n - 2*v**4.\nAnswer: -2*(v - 2)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/7 (b) 357 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33680449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1592.50531 rounded to 1 decimal place?\nAnswer: -1592.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 18*s**3 - 24*s**2 + 18*s + 21.\nAnswer: 3*(s - 7)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbjxxk. Give prob of picking 1 j and 1 b.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (213 - 226) + (0 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-42)*4\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 63 = 44*f + 19. Let t = 0 - 2. Let g be (t + f)*(2 - 11\/6). What is the closest to -0.1 in -0.3, -2\/15, g?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -120.88?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 69*y**2 - 19*y + 103. Let w be t(10). Suppose 3*n + 4*g = 5116, 4*g = 4*n + g - w. What are the prime factors of n?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from {m: 2, o: 1, g: 1, z: 1, x: 7, s: 5}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*h - 71*h + 110 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*k**3*m**2 + 307*k**3*m + 2*k**2*m - 2*k**2 - 21*m**2 wrt m.\nAnswer: 122*k**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 + 12*x\/7 + 704\/7.\nAnswer: -2*(x - 22)*(x + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5.09 times 5\nAnswer: -25.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7, -306 in decreasing order.\nAnswer: -4, -7, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -185*w**7\/42 - w**4\/6 - 25*w**3\/2 + 85*w. What is the third derivative of s(r) wrt r?\nAnswer: -11100*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 38 = -3*k, -4*k - k - 42 = 2*r. Let a(q) = -3*q - 7. List the prime factors of a(k).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4406.\nAnswer: 2, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 94273760 divided by -7?\nAnswer: -13467680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 841 = l - 1383, -4*l = g - 745. Suppose -2*k + g = d - 5*k, -k = -2*d + 1457. Suppose -3*a = 3*a - d. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111101100111011111 (base 2) to base 16\nAnswer: 3d9df","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 + 2*w**2)*(0*w**3 - 4*w**3 + 3*w**3) + 24*w**3 + 20072*w + 20068*w - 40140*w + 33*w**5.\nAnswer: 31*w**5 + 24*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 14*d**2 + 26*d - 362. Calculate n(-7).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4184767 rounded to 3 decimal places?\nAnswer: -0.418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -2*i**2 + 1\/3*i**3 + 2*i + 0. What is the units digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84241280 to the nearest 100000.\nAnswer: 84200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1552 is divided by 302\/8 - (441\/(-28))\/(-21).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjrjxxrrjrrrr. What is prob of sequence rjr?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + b**2 + 2*b**2)*(3*b + 5*b - 6*b)*(-107*b + 147*b - 72*b) as r + y*b**2 + a*b**4 + u*b + z*b**3 and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 479.8966 millennia?\nAnswer: 5758759.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 326408.6 times 180\nAnswer: 58753548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3771569.\nAnswer: 17, 61, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13b1 + 624b?\nAnswer: 4d8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*x - 489. Let z = 265 + x. Let l = -39 + z. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266674.\nAnswer: 2, 133337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 4*l + 15. Solve -d + l*d - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*s = 81, 0 = -7*k + 5*k - s + 162. Suppose 0*o + k = 3*o. Let t be (-15)\/5 - -3*2. Calculate the greatest common divisor of o and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 74*u**4 + 89*u**2 - 112*u. What is the derivative of c(r) wrt r?\nAnswer: 1776*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 4*y**5 + 48*y**4 - 488*y**3 - 6912*y**2 - 12188*y - 5808 = 0.\nAnswer: -11, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**2\/7 + 98796*b\/7 = 0. Calculate b.\nAnswer: 0, 24699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56088 is divided by 93.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 5*x. Suppose x = 2*k - 11 - 13. Let a be 2 + k\/(-7) - (-153)\/(-21). Round a to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38404231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * 70\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/14)\/(8 - 4) and -1 + 1 + (-105)\/(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 351149891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*q**5 + 0*q**2 - 41\/3*q**4 + 1681\/6*q**3 + 0*q + 0.\nAnswer: q**3*(q - 41)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + i - 111423999, -4*i - 139280004 = -604*o + 599*o. Round o to the nearest 100000.\nAnswer: 27900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111646490624 - -0.55.\nAnswer: 111646490624.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -7051636.805704?\nAnswer: -7051637.005704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 f when three letters picked without replacement from {s: 5, a: 1, t: 1, z: 9, n: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2908823 divided by -3193\nAnswer: -911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7\/2 (b) -1090 (c) -0.4 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/3)*y*y*y*y**(-2\/37) assuming y is positive.\nAnswer: y**(364\/111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 520 by 4.\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 2*m**3 - 3*m**2 + 4*m. Let a be r(6). What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110\/(-296) + 65\/52\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24895 greater than 1892059\/76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 20077 + 20066 = 2*b + 40173, 2*b = 4*q - 132 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -252 (b) -0.03 (c) 0 (d) -3\/26 (e) -5.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17807593 to the power of 1\/2, to the nearest integer?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1044\/(-16)*-6 + 1\/2. Suppose -p + a = 3*f - 0*p, 3*f - 5*p - 416 = 0. What is the greatest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 1, 14.\nAnswer: 1, 14, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8141789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 16*b - 25. Suppose -2*h + 4*s - 20 = 0, 3*h + 40 = -s - 18. Calculate the smallest common multiple of x(h) and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-4)*((-63)\/378)\/((-2)\/84)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/334922 and 1\/5264.\nAnswer: 2679376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 1102?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 4*g + 2*g)*(-g + 0 + 0 + (3 - 2 - 4)*(-4*g + 2*g + g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 13?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 413 = -3*x, -4*m - 518 = -3*x - 109. Suppose 3*k = x + 79. List the prime factors of k.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 20*t - 2. Let f be h(-20). Put f, -3, 2, -4 in increasing order.\nAnswer: -4, -3, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436322917?\nAnswer: 2437, 179041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16307 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let k be 42\/30 - 1 - (-13)\/5. Solve k*g = -n*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/(-670))\/((-1)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -2\/9, 5, 3, -55, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5687?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 3:03 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 - 5*r - 41. Give m(0).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 5 + 4 + 42*m wrt m.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icf. Give prob of sequence fic.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*5\/(-2) - 0. Let o = -5 - w. Suppose -2*m = -o*m - 18. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508977*w - 51444*w + 1713032*w + 2236979*w.\nAnswer: 4407544*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15, -2, 306 in descending order.\nAnswer: 306, 15, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -168 + -99c88?\nAnswer: -9a012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of 3 - 1\/3*h**3 + 7\/2*h**2 - 8*h. Let f = 188 + -182. Give z(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -40. Let w be ((-45)\/6)\/(x\/12). Suppose -9 = -6*a + w. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -18\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -60570 at most -60570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -590.9617 + 591. Round p to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120201001212 + -1?\nAnswer: -1120201001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49279882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 + 307008*o**2 - 2 - 193*o - 2*o**4 - 307007*o**2 + 48*o as c*o**3 + m*o**2 + s*o + a + j*o**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 162636 in -0.17, -2\/3, 1\/3, 2\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5708 is divided by 104.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207265?\nAnswer: 5, 41453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 u, and 1 v when four letters picked without replacement from {u: 5, b: 3, v: 4, j: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 3*j + 3*j)*(3 + 3 - 3)*(-5 + 1 - 5) - 2*j - 6*j + 0*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*h - 4*b, -95*b + 16 = -91*b. Suppose 0 = -5*s + 95 + 180. What is the highest common factor of s and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/3))**(-27)*(m**(-1\/4)*m*m)**(-48))\/((m*((m\/m**(1\/3))\/m)\/m)**(-16))**(-1\/10) assuming m is positive.\nAnswer: m**(-982\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 + 232*z**2 - 83*z + 464. What is y(77)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759*w = -409*w + 5250 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 smaller than 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 166 - 108. Suppose -173 = 37*a + 197. Let i(q) = 3*q**3 + 29*q**2 - 17*q - 13. Let c be i(a). Are b and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7544260 (base 9) in base 13?\nAnswer: -ab8025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**4\/6 - a**3\/6 + 491*a**2\/2 - 92*a - 1. Let w(s) = -s**3 - 5*s**2 + s + 5. Let t be w(-5). Is m(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((756\/(-8820))\/((-6)\/(-14)))\/((-1)\/(-25)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 1 (c) 8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Which is the nearest to -3\/4? (a) l (b) 1 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 454 = 301. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (10 - 20) + -109 + 103\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9180 or 75?\nAnswer: -9180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90293*b**2*z**2 - 1331*b**2 + 9*b*z**3 - 383*b*z - 5*b wrt z.\nAnswer: -180586*b**2 + 54*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -250451323.36 rounded to the nearest ten thousand?\nAnswer: -250450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(-13*f - 8*f + f).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yya when three letters picked without replacement from {y: 2, a: 1, n: 1, p: 4}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 - 2241138715*s**2 - 251135135873023200*s + 251135138114161920 = 0. What is s?\nAnswer: -224113872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + g - 26 = 0, p + p + 5*g = -5. Which is bigger: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*h**2 + 685 - 303 - 382.\nAnswer: -34*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -13656*b - 13663. Give f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -32*g + 1006. Let y(q) = -57*q + 1761. Calculate 16*s(l) - 9*y(l).\nAnswer: l + 247","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/416)\/((-3)\/4). What is the closest to 0 in -3, c, 1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, k: 1, e: 1, b: 1, v: 1}. What is prob of picking 1 v, 1 k, and 1 e?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261*t = 366*t - 4324530. List the prime factors of t.\nAnswer: 2, 20593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b + -5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -13*v - 2. Let p = 1 - 6. Let q be j(p). Let f = -42002 + 42020. Calculate the highest common factor of f and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1818.91333 + 0.106052.\nAnswer: -1818.807278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -158254.\nAnswer: -15825.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggq when three letters picked without replacement from {q: 4, g: 7}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8 = -2*u. Factor u*x**2 - 1 + x**3 + 3 - x**3 - x**3 - 5*x.\nAnswer: -(x - 2)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 7\/3*r**3 - 70 + 0*r**2 + 0*r. Let s(h) = -15*h**2. Give s(y(b)).\nAnswer: -735*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -18. Suppose 4*w = 5 + 15, 0 = 2*q + 2*w - 56. Let f = q + v. Calculate the remainder when 26 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 7*q - 5*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4163411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-6)*-33*((-60)\/18 + 3)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcn when three letters picked without replacement from ocfnk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12, 4*d - 12*z - 14813 = -7*z. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 18, 53, 112, 201, 326?\n\"Answer: m**3 + 3*m**2 + m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 476023.127 to the nearest one hundred.\nAnswer: 476000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 187631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3590.547 decades?\nAnswer: 430865.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)\/w)\/w**9 assuming w is positive.\nAnswer: w**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -14. Let t be (-20)\/6 - (-7 + i). Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 94 = 3*g. Suppose -8 + g = -3*o + 4*j, -4*o + j - 22 = 0. What is the third smallest value in -3\/2, o, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 11*p = 8*p + 14, 4*p = -2*g - 18 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1622d7 (base 14) to base 12.\nAnswer: -314185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (7 - 2 - (0 + 4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*1 - ((-22)\/(-4))\/(49210\/80660)?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.6 * -2.285\nAnswer: 10.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*f**3*g**3 + 10351*f**3 - 6*f**2*g - 1816*g**3 wrt f.\nAnswer: -54*g**3 + 62106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + x + (x + 3*x - 2*x)*(2 + 0 - 1) + 2*x - 1 + 1 + 2 - 14 - x + 10.\nAnswer: 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -63. Let j be ((-12)\/(-30) - 0) + t\/10. Let c = 14 - 9. Solve 4*q - c = -3*p - j, -4*q + 5*p = 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*t**3 + 206*t**2 + 225*t - t**2 - 49*t**2 + 42.\nAnswer: -3*(t - 7)*(t + 1)*(9*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1336 + 1344. Let t(w) = 11*w + 1. Let s be t(-2). Let f be -2*(s\/(-9) + -2). Which is the second smallest value? (a) f (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.1, -4963, 83, 4\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 2*s**3 - 89 + 3*s**2 + 89.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -9*c - 525. Suppose -7*m + 105 = c. Which is bigger: m or -4\/31?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*(3\/4)\/((-3249)\/5054)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 206 = -3*a. List the prime factors of a.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63365540.\nAnswer: 2, 5, 7, 452611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h = 86*h - 2856. Suppose -2*m + 7*m = 2295. What is the greatest common factor of m and h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117425 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**4\/5 + 724*j**3\/5 - 998*j**2 + 1420*j = 0.\nAnswer: 0, 2, 5, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 517, 2253, 5115, 9103, 14217, 20457?\n\"Answer: 563*y**2 + 47*y - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23469 - 92233 = -1411*m for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = m - 3*f, -3*m + 230 = 2*f + 1036. Let l = -201 - m. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/7)*p**(-4\/11)*p)**(-1\/35) assuming p is positive.\nAnswer: p**(-71\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2034 - -3890?\nAnswer: 1856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5922 - 5928. Let x(t) = 9*t - 5. What is x(n)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 + -24170.\nAnswer: -24144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*i = 154*i - 60*i - 1098308. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2. Let s(v) = -118*v. Let r(h) = -110*h. Let b(o) = 3*r(o) - 4*s(o). Calculate b(m(n)).\nAnswer: 142*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 1\/12*x**4 + 0*x**3 - 2*x + 0 + 0*x**5 + 0*x**2 + 0*x**6 - 1\/7*x**7. What is the third derivative of g(j) wrt j?\nAnswer: -360*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2. Let z(g) be the second derivative of g**3\/6 - 31*g. Determine i(z(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 120769303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7520271273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*d + 0 + 10 = 0, 26 = 4*k + 2*d. Let z be (-10)\/50 - ((-62)\/10 + 1). Let m(c) = z*c - 11*c + k*c + 5*c. Let w(p) = -12*p. Give w(m(f)).\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -8. Let -8*l**4 - l**5 + 3*l - 8*l**2 - l**5 - 5*l - 6*l**f - 6*l**3 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 112 = x, 2*h - 7*x + 6*x = 43. Suppose -2*v = 3 + h. Let s(n) = -2*n**2 - 29*n - 3. What is the units digit of s(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3\/5 - 489506*b**2\/5 + 5990354150*b + 29952260258\/5 = 0 for b.\nAnswer: -1, 122377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 1123 - 815 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4 - 3 - 4*p + p**2 + 3 - p. Let j be c(6). Suppose 3*o = -j*o. Sort -3\/4, 2, o.\nAnswer: -3\/4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -556*i**2 - 2*i - 3 wrt i.\nAnswer: -1112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d**2 - 27*d - 15. Let n(o) = 3*o**2 + 7*o + 4. Let s(w) = -4*b(w) - 15*n(w). Let c be s(-2). Let v = 6 - c. Sort 3, v, -5 in increasing order.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100 - (-33 - -7 - -17 - -44)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a. Let w(v) = 1 + 28*v**2 - 1 - 9*v**2 + 21*v**2. Give w(p(j)).\nAnswer: 640*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.3, -11, 90487, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 3, -0.2, -2\/3, -0.1, -0.046?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 12, -48, -206, -504?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 62*w**2 - 924*w + 26. Give g(-37).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a + 34. Let x be k(-2). What is the highest common divisor of 756 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -27\/80 in ascending order.\nAnswer: -27\/80, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + 6\/(-3))*8\/(-24). Suppose -i*h - 198 + 216 = 0. Calculate the remainder when 17 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -5, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7)*q*q**(3\/7))**48 assuming q is positive.\nAnswer: q**(-1872\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 8 - -13 - 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 74523 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3, 4, 5 in decreasing order.\nAnswer: 5, 4, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - -60. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 32. Let w be m(-16). Solve 4*x - f - 4*f + 27 = w, -3*x = f + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20200 - 220011?\nAnswer: -1010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssk when three letters picked without replacement from ksaksskaaks?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.177? (a) -3 (b) 31\/3 (c) -2 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*g - 10*g - 11*g)*(-5 + 4 + 0) + (1 - 1 + 2)*(-g - 4*g + 3*g).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 - 21 = 2*p - 99. Solve -6 = 9*u + p for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -735749*i + 4. Let x be k(-4). What is x rounded to the nearest one hundred thousand?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -359491900 rounded to the nearest one million?\nAnswer: -359000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 2*l**2 - 4*l + 5. Let u be v(3). Suppose 46*h - 39*h - 231 = 0. Differentiate -30*t**4 - 7 - 12*t**2 + h + 12*t**u with respect to t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 48*u**2 + 43*u + 42. What is the remainder when 178 is divided by x(-1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 62\/(-36) - (-4 + 4). Let l = 134\/9 + m. Find the common denominator of l and 17\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - (-3 + (3 - 2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 242. Calculate w(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1165 (b) -3\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1904351+-372.0597\nAnswer: -1904723.0597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-330)\/(-825))\/((-12)\/10) + 14289\/(-36). Which is bigger: -396 or b?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243831 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 30*z**2 - 8*z - 53. List the prime factors of o(-32).\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 848903417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 38*h + 504.\nAnswer: -2*(h - 28)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5288?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 1 - 13*z**3 + 25*z**3 - 13*z**2 wrt z?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*((-2)\/(-4))\/(16\/48). Let p be (15 - 14)\/((-2)\/(-210)). Suppose 11*w - x*w + p = 0. Solve -y - w = 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/(-2)*25\/20. Suppose -2*u = 3*u + x. Let c(d) = d**3 + 4*d**2 - 2*d - 3. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 19*q + 28 = 2*x, x + 7 = 2*q. Solve 12*n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = s + y - 12, -4*y + 11 = 3*s. Which is the closest to s? (a) 10 (b) -5\/2 (c) 0.1 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10882?\nAnswer: 2, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1093 - -1545. What is the remainder when d is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 3:43 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*u**3*z**3 + 4114*u**3 - 2*z**3 + 1023*z wrt z?\nAnswer: -18*u**3*z**2 - 6*z**2 + 1023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 55, 107, 159, 211, 263, 315?\n\"Answer: 52*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g + 1. Let x(a) = -4*a**2 - 5*a - 5. Let v be (4\/(16\/(-12)))\/(-3). Give v*x(b) + 5*s(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 100*x - 102*x + 8, -v = -2*x + 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-5) - (1 + 1). Let f be u - -1 - (-10 - -13). Let o be (4 + -4)\/(2\/f). Solve -d - 4 = -o for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 980 - 429. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(142 - -4) - -11. Which is greater: x or -149?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505060 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: Find the second derivative of -74940*o**4 - 287305*o.\nAnswer: -899280*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770571 to the power of 1\/2, to the nearest integer?\nAnswer: 2402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -4, 0.1, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26179 + -26177. Solve n*x - 2*b = 0, 0 = -24*x + 23*x - 5*b - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l - 3*l + 6*l + (-8 - 5*l + 9 - 10*l)*(11 + 1 - 2) in the form a + d*l and give d.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, z: 1, r: 3, k: 3, t: 1}. What is prob of sequence krzr?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 2.8. Let y be (-4)\/6 + (-16040)\/(-525). Let z = y + -148\/5. Which is the second smallest value? (a) -3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12\/7 (b) -32 (c) -4 (d) -0.08 (e) -5 (f) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/20 + 5*n**4\/12 + 7*n**3\/3 + 3*n**2 + 339*n. What is j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v + 1 + 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 2*k = 4, 0 = h - 261*k + 262*k + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = -7*t - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -764, -2425, -2 in increasing order.\nAnswer: -2425, -764, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285701\/11528644 - 3\/16684. Is 1 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 11. Let x = -15 - -7. Let m be n(x). Suppose -9 = -m*b + 36. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 2 - 3*2. Is ((-2)\/n)\/((-4)\/(-248)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:19 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:39 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 5*f - 2422*f**3 + 3*f + 2419*f**3 + 0*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6 - 2190*j**3 + 4231*j**2?\nAnswer: 120*j**3 - 13140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4 - 0) + (1 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 26 + -15 + (1 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 234999903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 3.8. Sort -3\/7, 1\/3, g in descending order.\nAnswer: 1\/3, g, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*c - 1 = 5*n - 22*c, 5*n - 4*c - 29 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*4*sqrt(12))\/(sqrt(30)\/(sqrt(5) - sqrt(5)*3))*-3)**2*-3.\nAnswer: -31107 - 432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 0*j + 3*j)*(-51*j - 11*j - 47*j + (-5 + 5 - 3*j)*(2 + 1 - 1)) in the form k*j + n + l*j**2 and give l.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14869, 29947, 45025, 60103?\nAnswer: 75181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2503362735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.13 - 33. Let o = f + -0.93. Sort -5\/3, 1\/2, o in increasing order.\nAnswer: -5\/3, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusuuyyyuuyusssss. Give prob of picking 2 u.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 50551370*d**3 - 2*d*o**2 - d + 176877170*o**2 wrt d?\nAnswer: 151654110*d**2 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.52 + -18. Let c = 2\/2631 - -5252\/13155. Which is bigger: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -1021?\nAnswer: -1021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -262 - 136?\nAnswer: -431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0238 bigger than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/8))\/c**34*c**(6\/5)\/(c\/(c\/(c*c**(-23)))*c*c*c))**(-35) assuming c is positive.\nAnswer: c**(3619\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-12)\/(-8))*(-1)\/(-15)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.82693um in nanometers?\nAnswer: 7826.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 43, 26, -5, -56, -133, -242, -389, -580?\n\"Answer: -a**3 - a**2 - 7*a + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*f = -2 - 4, -3*c - 3 = 5*f. Suppose 5*p = -m + 3*m + 7, -4 = -4*m + c*p. Suppose 2*l = m*l - 14. Is 8 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -627, -2512, -5655, -10056, -15715, -22632?\n\"Answer: -629*x**2 + 2*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110138 divided by 14?\nAnswer: 7867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**8\/23520 + o**7\/8820 - o**4\/3 + 3*o. Let f(m) be the third derivative of h(m). Factor f(x).\nAnswer: 2*x**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23374*b = 23370*b - 52 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140209, -280415, -420621?\nAnswer: -560827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 2:26 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2225*s**2 + 1. Let p(b) = -2*b**2. Give p(d(u)).\nAnswer: -9901250*u**4 - 8900*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3451 + 3378.46. Let d = 73 + a. Let w = d + -0.46000005. Round w to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*v - 19*v - 190 = 0. Calculate the remainder when 278 is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1432 and 6981?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, j: 1}. Give prob of sequence ttj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1167, -1102, -919, -558, 41, 938?\nAnswer: 2193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.084405 decades in years?\nAnswer: 90.84405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i**(-12)\/i)\/i*i)**(14\/3))**9 assuming i is positive.\nAnswer: i**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(2\/3)*p)*p**12*(p\/(p\/(p\/(p*p\/(p**(-3)*p))*p)))**(-2\/37))**(-7\/4) assuming p is positive.\nAnswer: p**(-4445\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 4*o + 9*o + 20, 8*o - 4 = 3*o + 4*o - o for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14 - 46*i - 6 - 10)*(21 - 26 + 47) - 3 + 3 + 2*i + (-4 + 7 - 1)*(3*i + 0*i - 2*i) to the form t*i + p and give t.\nAnswer: -1928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 369646098 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 563, 1226, 2009, 2972, 4175, 5678, 7541?\n\"Answer: 10*a**3 + 593*a - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34903790, -139615189, -314134188, -558460787, -872594986, -1256536785?\nAnswer: -1710286184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64061 to the power of 1\/2, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 11:44 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -294181500 to the nearest 100000.\nAnswer: -294200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 (base 12) in base 13?\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6297474 and 85101?\nAnswer: 6297474","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 105. Let x be ((-72)\/(-16) + -5)\/(j\/(-24)). Is 13 a factor of 3\/6 + 1 + (-459)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5018\/3? (a) -2 (b) 3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 46381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2\/4 + 14409231*t\/4 - 7204617\/2 = 0.\nAnswer: -4803078, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 less than -303?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + (sqrt(252)*1*5)**2 - 6*(sqrt(252)*1 - sqrt(252))**2*6) + -3)*-6.\nAnswer: -37752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/7 = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.2. Let v = s + 0.6. Let p be ((-3)\/2)\/(3\/4). What is the closest to p in v, 2\/25, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157618 + 157623. Let n(h) = h**2 - 5*h + 4. Let v be n(6). Sort l, v, -4, 4 in increasing order.\nAnswer: -4, 4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 5, 1\/11, -120, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 7*l**2 - 4*l + 1. What is g(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2101 + 34303133?\nAnswer: 34301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/4 + 2*i**3 + 3*i**2\/2 + 9*i + 4. Determine f(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2677*d - 5278*d = -2650*d + 686 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:37 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 10}. What is prob of sequence nn?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084280855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29.57 + 722\nAnswer: 692.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191153 (base 10) in base 2?\nAnswer: -100100010110011110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6 - (5 - (1 - -61))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14632004?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuuu. What is prob of picking 2 u and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1823 - 1809. Sort 0, 0.4, d, 5 in decreasing order.\nAnswer: d, 5, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jwtjjjjwtwjjjjjjj.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n + 7. Let j(y) = 5*y - 9. Calculate -3*g(a) - 2*j(a).\nAnswer: 8*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -0.01. Let u = q - -0.04. Let j = 0.00000075 - u. What is j rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6434373 millilitres?\nAnswer: 0.0006434373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6690917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(-57) - 42\/(-9). Let t(o) be the first derivative of 2\/25*o**y - 2\/5*o + 2\/5*o**3 + 1\/10*o**2 - 3 - 7\/20*o**4. Factor t(k).\nAnswer: (k - 2)*(k - 1)**2*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82594*n**4 - 60478*n**2 wrt n?\nAnswer: 1982256*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:27 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/((-250)\/(-50))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and -66804.4.\nAnswer: 734848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0 - -2) + -1. Let p = 15 + -18. Is p equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154112 and 51299?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.334914 millennia in months?\nAnswer: 52018.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 317. Let x = -149 - w. Calculate the highest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*l - l - 5 = 0, 5*l - 55 = 5*s. Let c be (6\/10)\/((-3)\/s). Suppose -c*h = 2*h. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5923128 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63917642.\nAnswer: 2, 31958821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -110323230013 (base 4) to base 13\nAnswer: -11a1882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, g: 2, y: 5}. What is prob of picking 3 u?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 267 - 227. Let v(x) = -i - 3*x + 29 + x + 3*x. Give v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**2. Let f(y) be the first derivative of -1 + 0*y**2 + 0*y - 1\/3*y**3. Determine 6*f(a) + r(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - l - 3 = 0. Let s(z) = -z**3 - 4*z**2 - 3*z + 3. Let u = 2 + -5. Let t be s(u). Solve t*i + 2 = -l*j + 5, 3*j - 17 = 4*i for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*x + 720*x - 162*x.\nAnswer: 1214*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 365005800 divided by 50.\nAnswer: 7300116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -864, -863, -862, -861, -860?\n\"Answer: y - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/3 - (-15)\/(-5). Suppose -9 - 15 = -4*y - 4*p, -s*y + 3*p = 13. Is -2*(-111)\/3*y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1134, 1132, 1130?\n\"Answer: -2*u + 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*j + 8, 39*x - 44*x + 16 = -j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1785*u + 1364. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 377180*q**3 + 5*q**2 - 5354902*q?\nAnswer: -24*q**2 - 2263080*q + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 226\/6 - 1\/(-3). Suppose -r = c - 148. Suppose 2*a = 2*s + 3*s + 225, a - r = 5*s. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -146. Suppose 2*v + q = t, 9 = 5*t + 2*v - 5. What is the highest common divisor of 12 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllkkllk. What is prob of sequence ll?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -399\/130 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/3))**46*z**4\/z**(-6))\/((z\/z**(-5)*z**(-1\/4))\/(((z\/z**(-4))\/z)\/(z*z**7*z))) assuming z is positive.\nAnswer: z**(359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 390 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, l: 4, c: 4, w: 2}. What is prob of sequence cw?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g*s**2*w - g*w - 3*s**2*w + 33*s**2 - s*w + 3*s + 14 wrt s.\nAnswer: 4*g*w - 6*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1061623 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -77.06. Let t = a - -77.1. Which is smaller: t or -15.9?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*x - 3 = 7, -2*g + 3*x + 25 = 0. What is the second smallest value in 2\/5, 0.12, g?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*l + 15 = 0, -15 = -2*t - 3*l + 5. Suppose -2*z - c = -9, -z + 3*c = c - t. Solve 0 = -y + z*v + 6, 5*y - 5*v + 2 = 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - f = 27*m + 20, -4*f = -m - 15*m - 48 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782 a factor of 91062889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -292 and -31.836.\nAnswer: 9296.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:15 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-10)\/105*399\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k + 43. List the prime factors of i(-21).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91151855 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*s + s. Suppose 0 = -2*u + 1 - 3, -4*u = -3*b + 73. Solve -2*c = 3*z - s*c + 6, 2*z + 5*c = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**3 - 3*z**3 + 0*z**3)*(24 - 7*z - 24).\nAnswer: 7*z**4 + 14*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 g when three letters picked without replacement from {b: 1, y: 2, t: 6, g: 9}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 4*q + 3 - 9 - 7*q**2 + 2*q**2. Let g be n(6). Let y = g - 31. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(-9*p - 12*p + 15*p)*(-4 + 3 + 0)*(4*p - 6*p + 0*p + 59).\nAnswer: -24*p**2 + 708*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -168, -166, -164, -162, -160?\n\"Answer: 2*a - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:04 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-69 - -41)) + -16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 211\/17851 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(119) - (sqrt(119) + sqrt(119) + sqrt(119)*-2))*-6)\/(sqrt(49)\/((sqrt(448)\/sqrt(8))\/sqrt(8))).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5130 or 5134?\nAnswer: 5130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 8*z = 90 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 46*m - 155. Determine b(-5).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*i**2 + 48*i**2 + 3*i**2 as b*i**2 + c + d*i and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2066693 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15\/7*x**2 - 9\/7 - 3\/7*x**3 - 3*x.\nAnswer: -3*(x + 1)**2*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 23 = -3*s - a, 0 = a + 4*a - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 = -6*h + 2559. List the prime factors of h.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.7 + -12. Let i = -3 - -3. Which is the second biggest value? (a) s (b) 1\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 9*j**2 + 31*j + 19. Let f(v) = 14*v**2 + 47*v + 29. Let i(r) = -5*f(r) + 8*o(r). Is i(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*n - 150*n + 305*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 12) to base 10\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 14 - 9*c + 12*c. Let i be o(-8). Suppose f = i*f - 427. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x + 2*x - 3*x - 2*x + 3*x + x + (-2*x + x + 2*x)*(-2 - 3 + 7) - 2*x - 4*x + 5*x + 0*x + x - 2*x - 78*x - 65*x + 90*x.\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-10)\/5)*12\/(-21).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.476 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 45636183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1225*q**2 + 1063*q**5 - q**3 - 2039*q**5 - 1045*q**2 wrt q?\nAnswer: -58560*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*c - 19*c - 66*c as g + v*c and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**5\/7 - 12*r**4 + 72*r**3 - 704*r**2\/7 = 0.\nAnswer: 0, 2, 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1085, -1080, -1085, -1106, -1149?\n\"Answer: -i**3 + i**2 + 9*i - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6614.9763 - 6484.97. Let v = -127.25 + -2.75. Let l = v + q. Round l to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/5 - 574*j**4\/5 + 1397*j**3 - 5494*j**2 + 42156*j\/5 - 21096\/5 = 0?\nAnswer: -586, 1, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360 - 171. What is the greatest common divisor of c and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115 - 113) + (1 - 6) - (-12 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Let k(r) = 19*r - 4. Is k(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 1 = 3. Find the common denominator of 2\/(-14*(-4)\/(-12)) and v*(-2 - (-261)\/12).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 714973019 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 11*y - 42*y. Suppose -35 = -4*h - 5*x, 2*h + y*h + 3*x - 34 = 0. Put -1\/7, -1\/2, h in ascending order.\nAnswer: -1\/2, -1\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 489 - 423. Calculate the least common multiple of g and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672313578?\nAnswer: 2, 11, 8923, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 251108 and 1364?\nAnswer: 7784348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 10*r + 54. What is f(6)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(14\/4))\/((-40)\/70). Let v = -120 + 120. Factor l*h**5 - h**4 - 1\/2*h + v*h**3 + h**2 + 0.\nAnswer: h*(h - 1)**3*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - -4.15. Suppose 6*p - p + 3 = -4*j, -6 = 2*j - 2*p. Let z be j\/5 - 22\/(-30). Sort z, m, 6, 2\/5.\nAnswer: z, 2\/5, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -80, 216, 710, 1402, 2292?\n\"Answer: 99*w**2 - w - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let o be 13 + (-6 + 0 - -5)\/(2\/10). What is the nearest to o in s, -4\/7, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 13) in base 7?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 47 - 35, 7*k - 4*i = 3*k - 40 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -47 - -170. What is the remainder when j is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 21*u**2 - 5*u - 14. What are the prime factors of r(9)?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372 divided by 14?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3 - 8*g**2 - 2*g + 8.\nAnswer: 2*(g - 4)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34445\/13 at most as big as 2650?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -5) + (-4)\/(-2). Suppose 2*r = -n*r + d + 9, r - 3 = d. Let f(i) = -i - 2*i + i**2 + r*i**2. Give f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/1701*-36*9)\/52)\/(2\/1).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, 164, -21, -9 in decreasing order.\nAnswer: 164, 5, 4, 3, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86526, -81868, -77210, -72552, -67894?\n\"Answer: 4658*t - 91184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26923 rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110209549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -348 greater than -348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -57, 2 in decreasing order.\nAnswer: 3, 2, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -153*r**3 - 70*r**2 - 13*r. Let y(f) = 78*f**3 + 35*f**2 + 6*f. Let x(u) = 6*s(u) + 13*y(u). Find the third derivative of x(p) wrt p.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4570 is divided by 1056.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - b + 3. Let k(r) = -2. Let u(f) = 3*f**2 + 12. Let g(m) = 5*k(m) + u(m). Calculate -3*g(l) + 2*w(l).\nAnswer: -l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(39)\/sqrt(3) + sqrt(13))*2)**2.\nAnswer: 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5 - 232*c**3 + 9*c**2 - 6 wrt c?\nAnswer: -60*c**2 - 1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 31*i - 4*i - i + 26*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 373.73476731 and 2284?\nAnswer: 1910.26523269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/4)*o*o**(-5))\/((o\/(o*o*o**(-1\/3)))\/o**(2\/9)))\/(o\/o**4*o**(-1)*o\/o**(-2\/7)*o*(o\/(o*o*o\/o**(-1\/4)))\/o) assuming o is positive.\nAnswer: o**(101\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 - -463. Let x(d) = d**2 + 2*d + 6. Let l be x(4). Calculate the greatest common factor of i and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 109*l + 5673. Let n be g(-52). Let s(w) = 4*w**2 + 5*w - 12. Let f(t) = 2*t**2 + 3*t - 6. Suppose 2 = j + 5. Give j*s(v) + n*f(v).\nAnswer: -2*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + 1 + -2 - 51. Suppose -33 = -34*a + 33*a. Calculate the remainder when a is divided by n\/(-3) - 2\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 21*y**2 - 41*y - 3328. What is k(-26)?\nAnswer: 1118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*sqrt(833)*-2 + -4 + 3*((-1*sqrt(833) - sqrt(833)) + -2 - (sqrt(833) + sqrt(833) + sqrt(833)*2 + -3)) + 1)**2.\nAnswer: 479808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 16 = 5*r + 16, -2*c = -5*r - 16. Suppose c = 7*k - 6*k. Let s = -432\/7 + 4663\/70. Find the common denominator of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, -73, 3\/358, -2, 0.09, 1.\nAnswer: -73, -2, -1.3, 3\/358, 0.09, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 139834311.\nAnswer: 559337244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/11)*u*u)**23\/(u\/u**(1\/2)*u)**(-39))**(-2\/3) assuming u is positive.\nAnswer: u**(-2207\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 less than -38.5927194?\nAnswer: -36.3927194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 13 = -385*j + 386*j, 3*d + 11 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + 0.0064?\nAnswer: 0.1064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**2 + 20. Let a(b) = b**2 - 6. Let n(j) = j**2 - 3*j - 111. Let v be n(-9). Let i(g) = v*t(g) - 10*a(g). Let w(q) = -168*q. Calculate w(i(y)).\nAnswer: -336*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*o - 5 - 4 = 0, 0 = -j - o + 1. Let p(r) = -8*r**2. Determine p(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-five quarters of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*c + 2 - 7*c - 3*c**2 + 9*c**4 + 0*c**2 + 2*c**2 in the form t*c**4 + s*c**2 + h*c**3 + b + g*c and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*d + 312*d + 675*d as r*d + a and give r.\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043013 (base 6) to base 7.\nAnswer: 562035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2 + (4 - 1 - 1)*(17 - 15 - 13))*((2*m + 4 - 4)*(4 + 3 - 4) + 5*m - 4*m - 3*m - 2*m + 6*m - m).\nAnswer: -182*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2147.01 rounded to the nearest 10?\nAnswer: -2150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -33\/4, 1\/4 in increasing order.\nAnswer: -33\/4, -3, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 16. Suppose 4*y = 2*k + 80, 5*y - 86 = -k + 7. Let o be m(y). Which is greater: -9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.5273384 - 6.521. Round g to 4 dps.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -7.7.\nAnswer: -38.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/(-4)*(23 + 116\/(-5)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 255\/8 - 31843\/1000. Is 0 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-3) - 48\/180)*5. Let o be (-2 - 0) + 2 + -7 + b. Let u = -2\/15 + -11\/30. What is the nearest to u in 0.2, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 6. Let u be s(0). Let d = u - -9. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (560\/336)\/((-4)\/3)*(-2)\/(-3)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((-1*sqrt(450) + sqrt(450) - sqrt(450)) + sqrt(450))\/sqrt(9) - (sqrt(50) + sqrt(200)\/sqrt(4)*-3))\/(1*(sqrt(40) + sqrt(160))))**2.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 17672.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.76 (b) -4 (c) 3\/2 (d) 2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (6 + (74 - (40 + -89)))?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3170 = -5*w. Let l = 916 - -625. Let d = l - w. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 0, 3*l - 3*g + 7452 = 6*l. List the prime factors of l.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.48, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 - 113 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - h = 3063, 5*o - 14*h = -11*h + 3834. Suppose 3*q + 0*j - 455 = j, -3*j - o = -5*q. Is q a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6877*z = 6915*z - 190. Sort 0, z, 75, 6 in increasing order.\nAnswer: 0, z, 6, 75","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 14 - d - 1 - 7 + 0. Let z = -1039 + 1047. What is o(z)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322224 divided by -1096?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5628.595 - -15.5.\nAnswer: 5644.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*(-4)\/(-12)*(-166)\/52871*(-3)\/2.\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1270 + 610 + 660 - 23*t.\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-15) - ((-7)\/28)\/((-65)\/(-5356)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*d + 3144 = 2409 - 3675 for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40969, 82310, 123981, 165982, 208313, 250974?\nAnswer: 293965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32069502 divided by 6.\nAnswer: 5344917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 487864, 487976, 488088?\n\"Answer: 112*r + 487752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhbhhhhbjhhhhb. What is prob of picking 2 b?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 934 a factor of 12327318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 97?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -10, -40, -92, -172, -286, -440, -640?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 84 = -4*f, -58*f + 63*f + c = -71. Sort f, -6, 2, -5 in descending order.\nAnswer: 2, -5, -6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x - 0*x. Suppose -x*m = -3 - 6. Suppose -o + m = -1. Calculate the remainder when 4 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7418628 to the power of 1\/4, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74178425*h**3 - 17563340*h?\nAnswer: 445070550*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3920, 3904, 3866, 3794, 3676, 3500, 3254?\n\"Answer: -2*j**3 + j**2 - 5*j + 3926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:41 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30 - -50)*((-22)\/(-10) - -1). Let z = 117 - l. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1346658 is divided by 131?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 68374488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*o + 20 = -6*b, 4*b - o = -3. Let j be 2*b*60\/16. Is j*(40\/(-12))\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 497 - 31 = 0. Suppose -h = h - p. Find the common denominator of 139\/6 and h\/(-20) + 1 - 1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxpppxhpzxw. Give prob of picking 2 x and 1 w.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5069*k**4 - 5070*k**4 - 4*k**3 + 1 - 9*k - 9*k as z*k**3 + m*k**2 + j + b*k**4 + r*k and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3854 + -1629. What are the prime factors of r?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.6999899 + -14.7. Round u to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(605) - (1 + sqrt(605))) + 0))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 1, 2\/5, 3\/155?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 371606, 742516, 1113426, 1484336, 1855246, 2226156?\nAnswer: 2597066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88870 - 6?\nAnswer: -88876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0 (b) 9\/4 (c) -0.2 (d) -7 (e) 7 (f) 0.09 (g) 13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -18*m + 6. Let f be h(7). Let t = 598\/5 + f. Put t, -1, 5 in decreasing order.\nAnswer: 5, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - 6.5. Let x = 7.7 + v. Let z = -3855 - -3857. Which is the biggest value? (a) z (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 2. Let z = -10 + 47. Suppose -o + 3*o = 5*d + z, 4*d = -o - 27. Let a(r) = -r - 10. Let f be a(d). Give u(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5)*g*g)**38\/(g**(2\/9))**42 assuming g is positive.\nAnswer: g**(1114\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5842*f - 5577. Is c(7) a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 98729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -26 + -3 - 0 - 1. Let p = g - -42. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 28. Let z be y(9). Suppose -z*a + 20 = 60. Let u(t) = -t**2 - 5*t - 2. Give u(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 137288776 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16868?\nAnswer: 2, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:40 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 8:49 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 2:09 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1)*10\/(-4). Let v(x) = -x**3 + 5*x**2 + 2. Let g be v(a). Suppose g*q + 3*q - 10 = 0. Calculate the lowest common multiple of q and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101621d (base 14) to base 2.\nAnswer: -11100111011110001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151 (base 7) to base 3.\nAnswer: 120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/7)\/((-26100)\/79170).\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -5*q + 45, 5*z + 415 = 3*q + 380 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 1. Let h(s) = -3*s + 5. Suppose -15 = -6*j + j. Let f(t) = -2*t - 3 + 6 - t + j. Determine g*h(a) + 5*f(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.75 - -1.15. Sort 0, -0.2, c, -1 in ascending order.\nAnswer: -1, -0.2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 83*d**2 + 459*d**2 - 22*d**2 - 100*d**2 as r + g*d + j*d**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4107734 take away -1006590?\nAnswer: -3101144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 240, -4, -5, 2, 39 in descending order.\nAnswer: 240, 39, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 17*i + 5. Let w be f(17). Solve 4*g**3 + 401 - 24*g**2 + 64*g**w + 96*g**4 + 4*g - 401 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (7 + 3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*h**4 - 3*h**4 - 8*h**4 + (2*h**2 + 4*h - 4*h)*(-2*h**2 + 3*h**2 + h**2).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 - 63*h**2 + 33*h - 57. Determine w(31).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - w**2 + 56*w**3 - 10*w**3.\nAnswer: 46*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n + 2 + 2 + 2. Let h = 974 + -969. Calculate q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -10*x**3 + 9*x**2 - 3*x - 15. Let f be i(7). Let g be (-1)\/(2\/3 + f\/4488). Calculate the greatest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1602*f - 1321. List the prime factors of b(-4).\nAnswer: 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482 divided by -241.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2779858?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 12. Let x be (-1 + -1)\/((-6)\/(-24)). Let p be q(x). Solve -3*d + 4*t = 13, d = -p*t + 18 - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 86*u**2 + 773*u - 133. What is y(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2389517 divided by 35.\nAnswer: 2389517\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 13 = 19. What is the remainder when w\/(-12) + 195\/9 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times 29\nAnswer: -6.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 + -10514240?\nAnswer: -10514201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-175)\/28 + 6). Let q(b) = 685*b**2 + 21*b - 8. Let y be q(l). What is y rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36471 is divided by 12022?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 0*k + 3 + k - 3*k. Let d(s) = 12 - s + 2*s + 4 - 11*s. Determine 2*d(a) - 11*l(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjoeu. What is prob of sequence ou?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in 0.4, 2499.711, -4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 + 121 - 159)*(-4*y + 3 - 3)*(-1 + 1 + 1)*(1 + 2*y - 1 - 4*y + y + y + (3 - 2*y - 3)*(-3 + 1 + 3) - 3*y + 0*y + 2*y).\nAnswer: 792*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -35 + 7. Suppose i - h*j = 58 + 89, -4*i - 2*j + 570 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -7\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 - 1)*(1 - 2*k**3 - 1 + (-k**2 - 4*k**2 + 2*k**2)*(6*k - 3*k - 2*k) + 0*k**3 + 5*k**3 + 3*k**3) in the form s*k**2 + u + j*k**3 + m*k and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuudtutttut. Give prob of sequence duu.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1160 - 762. What is the smallest common multiple of i and 16?\nAnswer: 3184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*d + 504 = 78*d for d.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 1283*k**2 + 4184*k - 3738. What is j(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 81*v**2 - 48*v + 12. Let o = 83 + -77. Let j(k) = k**2 - k + 2. Let p(q) = o*j(q) - h(q). Find the second derivative of p(i) wrt i.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l = -3*h + 15, -4*l + 5*h = 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - 3) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m\/m**(1\/2)))*m)**(-27)\/(m**(-10))**30)**5 assuming m is positive.\nAnswer: m**(2325\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 366 + -365.6. What is the nearest to -2 in -5\/4, -5, o, -3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 10*f**2 + 9*f + 4. Let h be j(9). Solve -5*n - 2*a = -3*a + 17, 12 = -h*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:25 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16622 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 8 = -12*q + 7*q, -4*q - 14 = -3*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b\/(b**(-3\/13)\/b)*b*b**(4\/29)*b*b**(-3\/13)*b\/(b**(-2\/29)\/b)*b assuming b is positive.\nAnswer: b**(296\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52? (a) -3 (b) -1.33 (c) 0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10422 is divided by 2066.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:01 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 <= 284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 34. Let i = 53 - v. Solve i = -y - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4911 and 789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + 6.5. What is the third biggest value in 1\/7, -2\/13, y?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/17, 5\/3, 4 in increasing order.\nAnswer: -3\/17, 5\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 1. Let w be v(-2). Let j = -0.06 - 0.34. Let n be 5 - -9*(-1)\/9 - 4. What is the nearest to n in -2, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-6)*g)\/g*g\/(g*g**(-6))*(g**(-1))**(-2\/21))\/((g*g*(g**0*g*g)\/g*g*g)**16\/(g**1)**(-6\/13)) assuming g is positive.\nAnswer: g**(-21940\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 262562238 and 924.44.\nAnswer: 262563162.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-5))\/((-1)\/5). Suppose -3*t + 610 = -26. Suppose 5*s - 3*m - t = 0, 3*s - 2*m = -j*m + 130. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672) + (sqrt(672) + (sqrt(672) - (sqrt(672) - sqrt(672)*-1) - sqrt(672)) - sqrt(672)))\/(-1*sqrt(6)*-6).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 7, e: 3, d: 3}. What is prob of sequence dd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 30*r**2 + 81*r - 3. Determine g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-351)*1*-3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 9*p + 46. Determine r(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19982? (a) -6 (b) 24\/25 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**4\/6 + 2*c - 134. Let p(y) be the second derivative of -5\/3*y**3 + 0 + 8*y - 3*y**2. Give p(m(v)).\nAnswer: -20*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = 5*l, -3*i - 3*l + 7*l = -15. Let x(d) be the second derivative of d**5\/20 - 3*d**4\/4 + d**2 - d. Determine x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 121418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 401*a - 401*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483*x + 2031 + 3054 = 35031 for x.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/6 and -67\/432.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + 3*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/9948 and -103\/9948.\nAnswer: 9948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, 1, -5, 494, 5, -17 in increasing order.\nAnswer: -17, -5, -3, 0, 1, 5, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11012426 and 1138?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1258, -2585, -3924, -5269, -6614, -7953, -9280?\n\"Answer: q**3 - 12*q**2 - 1298*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*a*m**4 - 2*a*m + 12*m**4 - m**3 + 2473*m wrt m.\nAnswer: 1572*a*m**2 + 144*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15422 is divided by 266?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5500) - 4*(sqrt(5500) - (sqrt(5500) - sqrt(5500)*1 - sqrt(5500))))\/(sqrt(720) + (2*sqrt(720)*-1 - sqrt(720))).\nAnswer: 35*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**2\/7 - 141*h\/7 - 3762\/7 = 0. What is h?\nAnswer: -19, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12404f (base 16) to base 8.\nAnswer: -4440117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40 + e?\nAnswer: 4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1160 in 5, -11, -22, 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {w: 1, s: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(p + 2 - 2).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-18)\/(-14) - (-308)\/(-735)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f**5*s**2 - 3*f**3*s**3 + 8*f**3 - 2*f**2*s**2 - 187*f**2*s - f*s**3 - 5*f wrt f.\nAnswer: 420*f**2*s**2 - 18*s**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 2*d**4 - d**3\/3 + 3*d**2 - 9. Calculate the remainder when m(2) is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*p + 3*i - 0*i, 3*i + 129 = 4*p. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240580 is divided by 374.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 8274?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 117, -1, 0, -5, -4 in descending order.\nAnswer: 117, 3, 0, -1, -4, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*z + 200, 89 + 13 = z + h. Calculate the remainder when z is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3836 + 1382. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a hour in seconds?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 9340340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*u + 38*u - 105*u + 100*u.\nAnswer: 87*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-36))\/(2\/9). Let n = 29 + -1. Suppose 11 + n = y*g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -195*j**2 - 395*j**3 + 2561*j**2 - 3*j - 3*j**4 + 3*j wrt j?\nAnswer: -72*j - 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -9, -0.13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667746102.\nAnswer: 2, 11, 6949, 10909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + a - 9 = 6*a, 5*n - 4*a = 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 166*i - 1569. What is j(10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*a + 12 = -0*a, -5*a - 10 = 5*u. Suppose g = -183 - 107. Let b = -284 - g. Calculate the smallest common multiple of b and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 31884032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Suppose 0 = 4*g - 9 + q. Suppose -4 = g*b, -4*k + 5*b - 2*b = 1394. Round k to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**3 - 4199*h**2 - 402*h - 7682. What is k(420)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -696754 rounded to the nearest one thousand?\nAnswer: -697000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -23. Let i(u) = u. Let k be i(-1). What is the remainder when ((-1)\/(-3))\/k*-57 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 30 = 4*q, -q - c + 3 = -2*c. Sort q, 4, -4 in decreasing order.\nAnswer: q, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 6*t - 4 = 9*t + 2, 0 = 5*n + 373*t + 1850 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -646 + 1914 + 3*i**3 - 625 - 643.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -1535*t - 2 + 1 - 1546*t + 3080*t. Let v(f) = 2*f**2 + 12*f + 14. Let g(r) = r**2 + 11*r + 13. Let s(q) = 5*g(q) - 4*v(q). Give -6*p(a) - s(a).\nAnswer: 3*a**2 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38291, 153064, 344351, 612146, 956443, 1377236?\nAnswer: 1874519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7519255.\nAnswer: 5, 59, 71, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052.895 nanometers in centimeters?\nAnswer: 0.0001052895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1362*r + 2815*r + 0 - 1488*r + 3.\nAnswer: -35*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50847 is divided by 7411.\nAnswer: 6381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(1\/2)*b*b*b\/(b\/((b**(1\/14)*b*b)\/b)) assuming b is positive.\nAnswer: b**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -216.68227?\nAnswer: -216.68227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -4, -88, 1 in decreasing order.\nAnswer: 1, 0, -3, -4, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5290 and 6870.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11 (b) 0 (c) 5\/4 (d) -2 (e) -1\/2 (f) -116.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-8)*2 + (-240)\/(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39271 and -25757762.\nAnswer: -25797033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*u = -3168 - 744 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 7*h**2 + 1. Let s(l) = -l**3 + l**2 - 1. Suppose 2*v + q + 2 = 0, -v + 49*q - 54*q - 19 = 0. Determine v*z(k) - 5*s(k).\nAnswer: 4*k**3 + 2*k**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30300, 121193, 272684, 484773?\n\"Answer: 30299*f**2 - 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2625367*g**2 - 7759885*g wrt g.\nAnswer: 5250734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -116*g + 55. Calculate v(1).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-38)\/(-323) - (-213618)\/34.\nAnswer: 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 27*z**2 - 2*z + 1. Suppose -3*f = -6*f + 3. Is o(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.6523581 to the nearest integer.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a - 2*a)*(43*a**3 + 77*a**3 + 146*a**3).\nAnswer: -266*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*h**4*s + 6*b*h**2*s**2 + 6*b*h**2 - 2*b*h*s + 29*b - 4627282*h**3*s**2 - 85*h*s**2 + 11*s**2 wrt h?\nAnswer: -24*b*h*s - 27763692*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - l**2 + 1)*(-50 - 48 + 145 - 40) + (-4 + 4*l + 4)*(0*l + 2*l - l) + 2*l**2 - 4*l**2 + 0*l**2 in the form y*l**2 + g + o*l and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.240757 months?\nAnswer: 0.0018672975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5267, -5268, -5269, -5270?\nAnswer: -5271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1331) + -3*(sqrt(1331) + 2*sqrt(1331) + sqrt(1331)) + -4 - ((sqrt(11) + 2 - sqrt(11))*3 + (sqrt(1100) - sqrt(11)) + -4)) + -5)**2.\nAnswer: 2860*sqrt(11) + 186021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2 - c**3 - 3 - 4*c + 2 + 5*c. Give o(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88050 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.015 - 0.2425. Let j = 0.2273993 + d. Round j to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6428*k**2 - 6428*k**2 - 128633*k**3.\nAnswer: -128633*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 6 - 4 = 0. Let a(z) = -5*z. Let g(l) = -6*l. Let u(s) = 7*a(s) - 6*g(s). Let n be u(-3). Sort n, 3, w.\nAnswer: n, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from tttttooptopot?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**3 - 1338*s**2 - 423948*s + 16000264 = 0.\nAnswer: -686, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 4:21 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - f + 36 - 126, -2*l - 5*f = -77. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 7*z - 1. Let j be w(-3). Let f = 45 - j. Let x be (-922)\/(-18) + 2\/(-9). Calculate the highest common factor of x and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -473*n**3 + 6*n**2 - 9*n. Let j(h) = -473*h**3 + 7*h**2 - 12*h. Calculate -3*j(w) + 4*s(w).\nAnswer: -473*w**3 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70918927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n + 8 = 17*n. Let y(w) be the first derivative of 0*w - 1 - 3*w**n + 7\/3*w**3. Find the second derivative of y(r) wrt r.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -4. Let u(m) = 4*m - 1. Calculate the remainder when (-32)\/z + 60\/75 is divided by u(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*q = 21 - 62, -25 = 5*q. Let w(n) = 5*n + 4 - 4*n + 3*n. What is the tens digit of w(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/(-13) + 4\/26. Suppose b = -2 - u. Let o(h) = -13*h + 5. Let z(r) = -1 + 7*r - 12*r + 8*r. Give b*o(s) - 18*z(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 3\/8, 93.7, -4 in increasing order.\nAnswer: -4, 3\/8, 3\/7, 93.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 20. Calculate the remainder when 15 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 w when two letters picked without replacement from {m: 6, k: 3, w: 1, g: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.4, 0.9, -1\/3 in decreasing order.\nAnswer: 0.9, 0.2, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 3*m - 4 = 2*j, 5*j = 2*m - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -462*(5\/(-225)*-18)\/((-7)\/15) is divided by 74?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 9:58 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 2. Let j(v) = 4*v**2 + 12*v + 152. What is -j(i) - 6*p(i)?\nAnswer: -4*i**2 - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7463058 - -0.04838.\nAnswer: 7463058.04838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -20*k**2 + 7594717*k\/4 + 142401\/2 = 0?\nAnswer: -3\/80, 94934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {w: 2, o: 2, a: 4, m: 6, s: 2, d: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 897292 (base 10) to base 7.\nAnswer: 10425004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71868135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 3*b + 3, 5*s - 36 = -b - 37. Suppose x - u = 24 + 20, -2*x - 4*u + 88 = s. Calculate the lowest common multiple of x and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4\/3 + 2822060*a**3\/3 - 165918549432*a**2 + 1493247190528*a\/3 - 995494364288\/3 = 0.\nAnswer: 1, 2, 352756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 1 = -p, -25 = -5*k + 5*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-4 + 4 + z + (4 - 1 - 1)*(-2 - z + 2))*(-13 - 4 - 29).\nAnswer: -92*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47 and 95388662?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 3*z**2 + z. Let h be g(3). Let m be ((-21)\/3 + 5)*h. What is the closest to -5 in 5, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -5.7. Let v = -6 + 5.9. Put n, -1\/3, v in descending order.\nAnswer: n, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**2 - 1073*u**3 - 386*u**3 + 193*u**3 + 334*u**3.\nAnswer: -932*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cetttcttttttcc. Give prob of sequence ctet.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - (0 + -1))*2. Calculate the highest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-84)\/(-98)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9911 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -11*j**2 + 11*j**2 - 2*j**2 + 0*j**3 + 4*j - 14 - j**3 - j**2. What is y(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/3 - 987*i**3 + 41315*i**2\/3 - 56017*i + 70728 = 0 for i.\nAnswer: 3, 8, 2947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 2, -132256 in descending order.\nAnswer: 2, -71, -132256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -97812 divided by 2?\nAnswer: -48906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -342136 - 1?\nAnswer: -342140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 6*s**2 + 6*s + 2. Suppose 109*m + 12 = 112*m. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (1 - 2))\/1. Suppose t + 2 = -y. Put -5, y, 3 in decreasing order.\nAnswer: 3, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 72, 150, 232, 318?\n\"Answer: 2*q**2 + 72*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -259918, -1039656, -2339216, -4158598?\nAnswer: -6497802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -103, -64, -3, 86?\n\"Answer: p**3 + 2*p**2 + 10*p - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g*g**(2\/11)*g)*g)**(-4\/21) assuming g is positive.\nAnswer: g**(-80\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p. Suppose p = 2*f - 2, -k = 2*f - 5*f + 1. Is 6 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 3*b - 5. Let z(s) = s**2 - 2*s - 3. Let p(y) = 3*r(y) - 5*z(y). Let m(h) = -5*h**2 - 12*h + 9. Let f(w) = -m(w) - 6*p(w). Factor f(j).\nAnswer: -(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4588 divide 379000916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppph when four letters picked without replacement from {p: 3, h: 17}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 3:11 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2702903254 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 196*g + 20400.\nAnswer: -4*(g - 51)*(g + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**8\/840 + s**6\/180 - s**3\/2 - s**2. Let m(n) be the first derivative of k(n). Find the third derivative of m(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97917 is divided by 30514?\nAnswer: 6375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 3, -0.5, -261?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(-1*sqrt(11)*3)*3)**2 + -1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -546 = -530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**6\/120 - 2*l**5\/15 + 7*l**4\/24 + l**3\/3 + 7*l**2. Determine y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.5 (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(0*t + 2*t + 0*t)*(0*t - 2*t**2 + 0*t).\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 900 = 11*k - 1212. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**2*d)*d)**(-7\/4)*d**(-5\/4)\/(((d**4\/d)\/d)\/d))**(14\/13) assuming d is positive.\nAnswer: d**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.12 (b) 24.621 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109030 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from givvxnxiixinnnxnxi. What is prob of sequence vign?\nAnswer: 5\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (352\/704)\/((-3)\/48)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32068?\nAnswer: 2, 8017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 112 (b) -1309 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 - 0.3. Let s = -0.01 - -3.01. Let o = s + -3. What is the nearest to o in -3, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1) + -1 - -2. Suppose 0 = j*t - 14 + 6. Solve -2*l + t = -l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 14*u - 8. Let z(y) = y + 11. Let s be z(-8). Suppose -s*o = 16 - 40. Is t(o) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3113*w**3 + 3323*w**3 + w**2 - 1219*w - 7969*w**3 + 1 wrt w.\nAnswer: -9198*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48d041 - -3?\nAnswer: 48d044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 - ((-4407 - -4) + -6). What is the highest common divisor of v and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456412.\nAnswer: 2, 11, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 91, 1, -1 in descending order.\nAnswer: 91, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(117)*-1 + 2.\nAnswer: 2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -5. Let y(l) = -l + 1. Determine k(u) + 2*y(u).\nAnswer: -2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2080570.2 to the nearest 10000.\nAnswer: 2080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6}. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(468) - (-3*sqrt(468) + sqrt(468))) + 1 + 1))**2 + (-3*(sqrt(468) + -2 + 1)*-6)**2.\nAnswer: -2736*sqrt(13) + 219412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(2\/14)\/((-42)\/49)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/7*(-62370)\/1188.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -995375 - -1.499241\nAnswer: -995373.500759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2148*c + 118582 = 1451*c - 1303*c - 9994 for c.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**2. Let f(q) = -24*q + 12. Calculate f(g(w)).\nAnswer: 120*w**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45913945?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2171 and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -18*u - 49. What are the prime factors of a(-9)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473 - 2488 + 731 = -95*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 430 + -301. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10*-1*2\/(-4). Suppose 62*j + 100 + 148 = 0. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, 5, 2, 0, 1 in descending order.\nAnswer: 5, 2, 1, 0, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 6, b: 1, c: 2, z: 3, s: 2}. Give prob of picking 1 f, 1 s, and 1 z.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((-3)\/(1*-3)). Let r = 8 - h. Suppose r*m - 10 = -4*q, 4*m - 3*q - 10 = -q. Solve 0 = -m*a + 5*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y**3 + 86*y**2 + 46*y - 72. What is x(22)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 322 + -157. Let i = h + -161. Solve -13*u + i = -11*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(9) - sqrt(18)\/sqrt(2)*-2))\/(sqrt(180)*1*5).\nAnswer: sqrt(2)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c0a1 (base 15) to base 8.\nAnswer: -262214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 165 - -0.374\nAnswer: 165.374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 20*n**2 - 2*n - 10. Let x be t(-9). Suppose 110 - x = -10*u. Let p(y) = 2*y - 3. Calculate p(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d - 1. Let t(j) = -41*j - 6. Determine 6*g(l) - t(l).\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100356845*r**2 - 162*r - 44851.\nAnswer: -200713690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 5, 1, 17 in ascending order.\nAnswer: -3\/7, 1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134752 is divided by 134748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/984252 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 215486*a*u + 303784*a with respect to u.\nAnswer: 215486*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361 + 130*v**3 - 361.\nAnswer: 130*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = -9*q + 4*q. Let l = 65 + q. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxqxooouqooxaqa. Give prob of picking 2 a and 1 q.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.4737986 days?\nAnswer: 40936199040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)\/(0 + (-1)\/3). Differentiate -863 - 3*f**2 + 48*f**b + 833 + 3*f**2 with respect to f.\nAnswer: 144*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**3 + 7121946*v**2 + 3560972*v = 0.\nAnswer: -1780486, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*2\/(-6) - 44\/132?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 4*w**5\/5 + w**3\/6 + 21*w**2 - 33*w. What is the derivative of f(u) wrt u?\nAnswer: 48*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 7*n**4\/12 - n**3 + 12*n. Let p(w) = -13*w**2 + 11*w. Let b(s) = s**2 - s - 6. Let g be b(0). Calculate g*p(d) - 11*m(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = -3*j, 3*j + 9 = 6*j - 3*q. Let v(b) = -j - 1 + 11*b - 14. Is 18 a factor of v(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -657 - -659. Put -18, 5, h in decreasing order.\nAnswer: 5, h, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 2*t + t)*(-4 + t + 4) + (2*t - t + t)*(2*t - 1 + 1).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y - 5 + 3 + 13*y)*(-4 + 6 - 1)*(100 + 248 + 287) to the form i*y + b and give b.\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 132 = 58*x + 20*x. Let v = 14848693\/1440 - 92800\/9. Find the common denominator of v and x.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91a5 (base 14) to base 3.\nAnswer: -1021100022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*u - 78. Let d(y) = -74*y. Let p be d(1). Let r be p\/(-14) - u\/(-84). Solve 0 = -4*f + r - 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95)*1*-2 - 1*sqrt(95)*2)\/((sqrt(300)\/sqrt(5)*-1)\/sqrt(12)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k + 109*k + 104*k + 582*k.\nAnswer: 740*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 equal to -3.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5304584.979999312 - -5304629.98. Let l = b + -45. Round l to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -108*v + 1553 - 365 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1783, -7137, -16065, -28567?\nAnswer: -44643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7) + (-26)\/(-7). Suppose -v*c + 21 = 5. What is the units digit of c\/6*((-106)\/(-4) - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 + -52. What is the closest to 0.1 in 1.5, i, -5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 5*j**4\/4 - 1105*j**3 - 1660*j**2 + 1281. Factor p(o).\nAnswer: 5*o*(o - 664)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*n = 255*n + 193*n + 15255. Do -34 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u - s + 17, s = 2. Let h(m) = 2*m + 1. What is h(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 12768?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-36)\/(-8))\/((-1)\/2). Let m = -3 - c. Let f(j) = -j + 2. Let x be f(0). Solve -x*w - m = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6116.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -595519, -595429, -595331, -595225, -595111, -594989?\nAnswer: -594859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egz when three letters picked without replacement from {e: 1, z: 1, h: 6, g: 4, v: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 6*i**2 + 8*i + 6. Let o be b(-5). Let s be (o + 5)\/(1*-2). Suppose s*f + 1 = -g, -4*g = -2*f + 18 + 6. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-723)\/5*205\/(-492). Which is bigger: j or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2dcc (base 16) to base 3.\nAnswer: 121002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 50 + 35 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34964, -70488, -106020, -141560, -177108?\nAnswer: -212664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.5 - 33. Let y = 2.5 - q. Which is the smallest value? (a) 0 (b) y (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4851722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1110.4 + -1066.396. Let t = z + -0.004. Let y = 44.000047 - t. Round y to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + -1 + -1)\/1. Let p(c) = c**2 + 100*c - 495. Let q be p(5). Suppose 11*o = d*o + q. Is o even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17772 by 6.\nAnswer: -2962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 26390\nAnswer: 1\/13195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -483, 28, -2 in decreasing order.\nAnswer: 28, -2, -483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*i + 2551785 = -5*i, 0 = 4*l + i + 10207195. What is l rounded to the nearest one hundred thousand?\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j + 247 = 53*j. Solve -j*v - 16 = -3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 smaller than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73678769 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**2\/2 + 227. Let n(u) = 742*u**2. Calculate n(a(j)).\nAnswer: 742*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8770)\/(-1441788)*36\/(-15)?\nAnswer: -2\/137","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/5))**8\/((d*d**3)\/d*d*d**(-4)) assuming d is positive.\nAnswer: d**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 7. Let p = -3 - k. Let j be -1 + 1 + -1 + 1. Which is the closest to j? (a) -0.4 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -32. Let i = -17 + 11. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 47 + -13 - (-1 + 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 168454930 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -200*l - 1991, -2*l + 9069 = 4*r + 9077 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q - 52. What is f(-13)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20693898 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -9. Let l be -2 + (r - 3 - 2). Solve -p - l = -5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2. Let z(n) = 75*n. What is z(y(f))?\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30685904?\nAnswer: 2, 347, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 + o - 10. Let i be r(13). Let q = 0.4 + 0.7. Let v = 2.9 + q. Put i, -5, v in descending order.\nAnswer: v, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 95 = 5*l. Suppose 2*k - 34 = -5*h, -8*k = -9*k - 3*h + l. Solve k*p - 4*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -o + 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 8, -2*d + 3*b = -b. Let z(l) = 18*l**2 - 4*l - 4. Let m be z(d). Suppose -4*a = -0*a - m. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 + 1 = 0. Let h be 3 - (-2 + 2 - -3). Suppose h = o + 2*o. Which is bigger: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -14*z**3 - z + 1. Let t(k) = 576*k**3 - 4*k + 6. What is -4*m(s) + t(s)?\nAnswer: 632*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1130, 2292, 3454?\n\"Answer: 1162*l - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 0.4. Let n = 91 - 83. Let g = 7.6 - n. What is the second biggest value in i, g, -1\/4, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - ((-14847)\/2525 - -4*(-1 - -2)). Which is the nearest to 0.1? (a) f (b) -0.5 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815637134?\nAnswer: 2, 13, 773, 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millimeter in micrometers?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -64a?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 343*p - 15 - 166*p - 172*p. What is r(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5640*q + 1420 - 289060 = 0 for q.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2494 + 263?\nAnswer: 2717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 81641774 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**5\/5 - 312*q**4\/5 - 4*q**3\/5 + 312*q**2\/5 = 0?\nAnswer: -1, 0, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 19*h - 15 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 3*l**2 - 5. Let b(g) = 3*g**3 - 2*g**2 - 4. Give 4*b(t) - 3*p(t).\nAnswer: 3*t**3 + t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -64941884 to the nearest one million.\nAnswer: -65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**12*w**(-14)*w*(w**0\/w)\/w*w**(2\/19)*w assuming w is positive.\nAnswer: w**(-36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -5. Suppose 33 = p + 2*z, -225 = -5*p + w*z + z. Suppose p - 3 = 2*i. List the prime factors of i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1)\/((-12)\/(-9))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -624160 divided by -188\nAnswer: 3320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*c + 14*c + 25*c - 243 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9d0 + 58?\nAnswer: -976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2202122 (base 3) to base 8\nAnswer: 3737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950561 take away -67?\nAnswer: 1950628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = 2. Suppose -123*q + 81 = -114*q. Let o = u + q. Solve 9 = -h + o*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 963*r**2 + 253*r + 1696. Is 12 a factor of z(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*i - 10, 2*i + 4*f + 8 = -2*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(24\/3) - (-9)\/18. Solve -27\/4 - x*n**2 - 9\/2*n = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlu. What is prob of sequence jl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 224*d\/15 + 312.\nAnswer: -2*(d - 18)*(d + 130)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*p = -64, 0 = p - 2 + 4 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60887927 to the power of 1\/2, to the nearest integer?\nAnswer: 7803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3079\/42 + 221\/3. Is r at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + -3. Let b = f - -9. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 16 = 3*y, -22*v - 2*y - 44 = -26*v. Let z(f) = f**2 - 7*f + 8. Let o be z(6). Solve -3*t + t + 10 = 0, 5*d - v = o*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2449 - 1014. Suppose -3631 = -6*c - m. List the prime factors of c.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*z = 0, 0*z = -i - z for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13509)\/(-7) - 8\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 13*s**6\/12 - 167*s**4\/8 + 166*s**2. Find the second derivative of h(n) wrt n.\nAnswer: 780*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -181972, -363940, -545906, -727870, -909832, -1091792, -1273750?\n\"Answer: c**2 - 181971*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.8936921 and -2686?\nAnswer: 2685.1063079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5827559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - q + 15. Let z be h(0). Let v = z + -10. What is the third derivative of -4*r**2 + 11*r**2 - 5*r**5 - 4*r**5 + 3*r**v wrt r?\nAnswer: -360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/6 + 377*x**5\/5 - x**3\/3 + 461*x**2\/2 - 1683. What is the third derivative of l(u) wrt u?\nAnswer: 60*u**2 + 9048*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -10723.6\nAnswer: 2144.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2175b30?\nAnswer: 2175b28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(128))\/(sqrt(162) + sqrt(2)) + -5.\nAnswer: -5 + sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 18*i**2 = 0. What is i?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -46909 + a?\nAnswer: -468cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*1\/3*2*153\/135?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -w + 1, z - 4*w - 10 = 0. Find the third derivative of 4 - 6 + 3*c**6 + c**z + 2 wrt c.\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2584, -10284, -23150, -41182, -64380?\n\"Answer: -2583*b**2 + 49*b - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 3, e: 2, p: 1, j: 1}. What is prob of sequence ced?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 380274 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: Is 38 a factor of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*t - 2247, 12*t - 17*t + 2244 = x. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115*20\/4050 + (-8)\/24*-1 and -29\/4887.\nAnswer: 14661","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*0.033.\nAnswer: 0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7331\/14678 + -4\/7339. Let s = 0.1 + -3.1. Put h, s, -8\/9 in increasing order.\nAnswer: s, -8\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*g + 12, 9*g - 6*g = -2*y - 7. Solve -4*q + 19 = 3*r, -3*r - q + y*q = -12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**8\/a*a*a*a**(-12))\/(a**(-1\/14)*a*a**5) assuming a is positive.\nAnswer: a**(-83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40658 + -24516. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*p + 9, p - 3 = -q - 0*q. Put 2, q, 0.4, 5 in decreasing order.\nAnswer: 5, q, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -91*b**4 - 167*b**4 + 261*b**4 + 1159*b**5 - 2*b**5 - 2*b**3 + 2*b**3 + (-2*b**3 + 2*b - 2*b)*(0 + 2*b**2 + 0) + b**5 + 3*b**5 - 6*b**5.\nAnswer: 1151*b**5 + 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -181069 divided by 7?\nAnswer: -25867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p = 13*p - 114. Let n = p + 15. Let l = -23 - n. Which is greater: -2\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18002?\nAnswer: 2, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -287, 16 in descending order.\nAnswer: 16, 3, 2, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*w = 862, 5*o - 5*w - 1151 = o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12594 times -0.5?\nAnswer: 6297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77696?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + sqrt(68) + -1 + 0 - sqrt(68).\nAnswer: -1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3021 + -212220200?\nAnswer: -212223221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170878 is divided by 128.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/3)*x)**(8\/11)\/((x*x**(-33))\/(x\/x**(1\/13)*x)) assuming x is positive.\nAnswer: x**(15385\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66413?\nAnswer: 66413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 30. Let g be b(-25). What is the closest to 0.1 in -2\/21, g, 0.5, 12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w - 1090 = 9*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2204555896?\nAnswer: 2, 41, 6721207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*v - 85*v - 45*v = 1889 + 1255 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -615 and -0.2.\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*l**2 - 44*l**2 - 153*l - 286*l**3 - 272*l**3 + 153*l + 568*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-2)\/(72\/212 - 0). Are f and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3 - 63 = 0. Let h = -18437\/6 + 3086. Find the common denominator of h and (-2)\/55*(-1025)\/p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 20. Let d(w) = 2*w + 14. Let t be d(-9). Let j be (4 + t)\/(2 + -1). Suppose 0*i + i = 2*y, -4*i + 4*y = j. Calculate l(i).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 729?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17565, -17542, -17507, -17454, -17377, -17270, -17127?\n\"Answer: h**3 + 16*h - 17582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347511 is divided by 2416?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/926350 and 53\/339025?\nAnswer: 65770850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15416 - -17550. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**4\/12 + 4*t**3\/3 + 2*t**2\/3 + 2063. Factor v(j).\nAnswer: j*(j + 2)*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, q: 1, l: 1, s: 2}. What is prob of picking 2 l and 2 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -10*n**3\/3 - 1. Let g be (82\/82)\/(-2 - (-5)\/2). Let l(i) = -32*i**2 - 5557 + 36*i**g + 5557. Calculate c(l(r)).\nAnswer: -160*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 2130012230001?\nAnswer: 2130012223333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 3}. Give prob of sequence vvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 42\/5 of a hour?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {y: 1, g: 1, t: 2, d: 1, x: 2, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c + 52. Suppose -2*t = -5*z + 29, -5*z = 3*t + 25 + 6. Let j(o) = -2*o - 33. Let h be j(t). Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333175 is divided by 41646?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i + 2. Determine m(6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93807053 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from ttmlowlmtml?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -48*o**2 + 3*o - 1. Let x be s(-3). Let z = 266 - x. Let i = -125 + z. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 16 = 2*m, 3*m + 5 = 3*j + 8. Suppose 0 = 7*f - m*f. Solve f = -q + 5*q - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1384 divided by 3\nAnswer: -1384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + n + 6 - 2, -30 = -5*w + 5*n. Let j be ((w + (0 - 1))\/1)\/3. Solve j = 30*h - 35*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/3, -3, 1\/4, 53?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 22 + m**2 - 30*m - 9*m + 40 as i*m + y*m**2 + h and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 761277*a + 2573 = 761194*a for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -342155 (base 6) to base 15\nAnswer: -88e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, g: 3}. What is prob of sequence uu?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - (-7)\/5)*20. Suppose -s + 59 = g. Let w = s + -26. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -537295, -1074579, -1611863, -2149147, -2686431?\n\"Answer: -537284*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.7 - -20.3. Let r = 2.6 - w. Let n = -15.99944 - r. Round n to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 304 + -300. Let g(f) be the first derivative of 0*f**n + f**3 - 3\/5*f**5 + 3 + 0*f + 0*f**2. Determine r so that g(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 336816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23970 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 + 1 = -4*g + 5*z, 4*g + 82*z + 87 = 77*z for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -161660, -161667, -161678, -161693?\n\"Answer: -2*d**2 - d - 161657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 + 105 = 96*o - 22. Solve -5*k - 9 = -4*r, 2 = o*k + 3*r + 2*r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 3858 + 3890 = -7*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001010000000111100 + 1?\nAnswer: 1001010000000111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -4. Let x be 4\/(v + (0 - 1)). Solve -4*r = -x*z, -z = 4*r + 4 - 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-7) + ((-1380)\/112)\/(-23). Factor -1\/2*i**2 - g*i + 1\/4.\nAnswer: -(i + 1)*(2*i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -75 (c) -2\/9 (d) -0.3 (e) 560\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + w = -12, 18 = -4*w - 2 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.44203 rounded to 0 decimal places?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.048 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7765.146t?\nAnswer: 7765146000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 = -2*p. Let l(x) = x**3 + 15*x**2 + 14*x + 7. Let a be l(-14). Let i(w) = -a + 3*w + 6*w - 4*w - 6*w. Determine i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/13 + -9\/104. Which is smaller: -1\/4 or g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -541*n - 55*o + 49 = -271*n - 267*n, o + 1 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 14, p: 5}. Give prob of sequence up.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 4*x - 1 - 1, 0 = -i - 4*x + 11. Let v(y) = 2*y + 2*y - i + y**2 - 3*y. Let a = 8 - 8. Give v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)\/x**(1\/10)*x**(2\/21)\/x**5)\/((x\/((x*(x*x*x**(-1\/4)*x)\/x)\/x)*x)**(9\/8))**(-4\/25) assuming x is positive.\nAnswer: x**(-24191\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s. Suppose s = 2*m - 7*m + 330. Calculate the highest common divisor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c - 6. Let z be r(2). What is the second smallest value in 5, z, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -g + 6, 2*j - 6 = -4*g + 3*g. Let u(d) = 2*d - 5. Give u(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13577 + -1952. Is 125 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (384\/448)\/(3267\/(-77)).\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20359 times -162.3?\nAnswer: -3304265.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101110 + -100?\nAnswer: 1101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 11\/2. What is the nearest to d in 1, 4, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -622 + 1288. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44242 = 20*n + 30*n - 158792. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - r - 4. Let d be c(-3). Suppose 0 = 5*x - 4*j - d, 3*x + 3*j + 9 - 3 = 0. Suppose o + 4 - 3 = x. Is 1\/18 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5022.381g to tonnes.\nAnswer: 0.005022381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9001*a + 72269. Give d(8).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 567092*y**2 + 854261*y**2 + 29298*y**2 + 338974*y**2.\nAnswer: 1789625*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bb8c (base 15) to base 4.\nAnswer: -21230310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(c - 5*c + 2*c) - 83 + 38*c + 35 + 48 to g*c + n and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-9))\/((-1)\/((-3)\/(-1))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52285 is divided by 25692.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113.14 (b) 1\/15 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/42)\/(120\/(-96))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25573 (base 10) in base 15?\nAnswer: 789d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/5 + 28*t**3\/5 - 278*t**2\/5 + 1148*t\/5 - 1617\/5.\nAnswer: -(t - 11)*(t - 7)**2*(t - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04779 - -0.1.\nAnswer: 0.14779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 492*c**2*j**3*z - 53*c**2*j**2*z**3 - 3*c*j**3*z**2 - 8*c*j*z**2 + 4*c*z + j**2*z**3 - 5*z**3 wrt c?\nAnswer: 984*j**3*z - 106*j**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*p - 8, -20 = -5*p - 5*x - 0. Let u(q) = q**3 - 2*q**2 + 4*q + 4. What are the prime factors of u(p)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 553682803, 1, 3 in increasing order.\nAnswer: 1, 3, 553682803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -2*t**7\/7 - 10*t**3\/3 - 23*t. Find the second derivative of v(a) wrt a.\nAnswer: -240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r + 389 = 129. Solve -2*g + 5 = r*m - 3, 5*m + 4*g = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264834 is divided by 20346.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -396210 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8358468, -8358472, -8358478, -8358486, -8358496, -8358508?\nAnswer: -8358522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 9*n**2 - 42*n - 386. What is t(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12252 (base 8) in base 10?\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 90 + 264 - 85 + 944*l.\nAnswer: 944*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.0048ml to litres.\nAnswer: 0.0280048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -3, 23044, -9 in decreasing order.\nAnswer: 23044, 10, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.071 - -0.571. Let s = -0.2 + v. Which is the third biggest value? (a) s (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j = 1967*v - 1965*v + 883, -3*j = 2*v + 19 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 15. Let n = -7 - x. Sort 0, -4, n in decreasing order.\nAnswer: n, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -45*f**3*l*n + 130*f**3*l + 28*f*l*n + l*n**2 - 11*l wrt n?\nAnswer: -45*f**3*l + 28*f*l + 2*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24300627 divided by -1.\nAnswer: -24300627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94*d - 41*d - 175 - 1224 - 197 + 318 wrt d?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.1 - 8?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016224 rounded to 4 decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2156, 2191, 2248, 2327?\nAnswer: 2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1809 - 4 - 34 + 975 - 9*z.\nAnswer: -9*z + 2746","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112222 + 1?\nAnswer: 2120000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 12*h - 61. What is v(9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -104.7, -2, 3\/16 in increasing order.\nAnswer: -104.7, -2, -0.1, 3\/16, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 12.7. Which is the nearest to -2? (a) 8 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4123 = 85*u + 1147 for u.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gllgcgv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 + 2 - -49)*(-2)\/(-4). What is the second derivative of 97*v**4 - p*v**5 - 97*v**4 - 7*v wrt v?\nAnswer: -440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (95\/(-40)*-4)\/((-6)\/(-4)). Which is smaller: 6 or l?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 227077*b**4 - 164*b + 155 wrt b?\nAnswer: 2724924*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/15))**(-43)*(c**(-9)\/c)\/c**(-2) assuming c is positive.\nAnswer: c**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -127. What is the remainder when 42 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 101451487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 13*j**2 + 5*j + 7. Let i be k(5). Sort i, -1, 1, 2 in ascending order.\nAnswer: i, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -145685, 4 in ascending order.\nAnswer: -145685, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzzf when four letters picked without replacement from zzfffzfzzzzff.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-299)\/69)\/((-1)\/(-3)). Let i = p + 36. What are the prime factors of i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-30)\/4))\/((-103)\/((-484100)\/(-658))).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 96*s**2 + 202*s + 88. Let k be y(94). Calculate the greatest common factor of 130 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 59 = 3*a + 79, -4*w - 5*a = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:25 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27729 and 791817?\nAnswer: 7126353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/5))\/(h*h\/(h*h**(3\/8)\/h)*h))\/(h\/(h*h*h*h*(h\/((h**(-1\/3)*h)\/h))\/h*h*h*h*h))**(4\/9))**(1\/37) assuming h is positive.\nAnswer: h**(1333\/39960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790 + 0.126.\nAnswer: 790.126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/330 - v**3\/33 - 12*v**2. Factor f(w).\nAnswer: 2*(w - 1)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k + 829 - 1465 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Let u(i) = 2*i**2 + 12*i + 10. Suppose 0 = p - 3*j + 3 - 10, p - 4*j - 11 = 0. Let x be u(p). Solve -y - c = 5*g - 0, x = -3*y + g + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n**5 + 2*n - n**5 - n + n + (n**2 + n**2 + 0*n**2)*(0*n**3 - n**3 + 3*n**3) + 2 - 2 + n**5 - 3*n**5 - 5*n**5 + 4*n**5.\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16)\/(1\/(-4))*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -893.2 - -893. Let n = 13 - 13.5. What is the closest to 0.2 in n, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-7)\/(140\/1395)*5\/(-15) and -75\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1329380 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 - 1.492. Let j = 574 + -577. Which is the smallest value? (a) 2 (b) v (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 22*r + 2. Let n be c(-22). Suppose -n*j + 28410 = j. Suppose 10*b - 5*b = j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12722*p**2 - 8*p - 40. Let n be b(14). Let x = n - 2396336. What is x rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12936 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t**3 + 11*t**2 + 17*t + 13. Let v(l) = l**2 + l - 1. Let i = -13 - -12. Let b(o) = i*k(o) - 4*v(o). Find g such that b(g) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80798284?\nAnswer: 2, 7, 71, 97, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, f: 3, b: 11, g: 1, a: 1}. What is prob of sequence gbac?\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*(0 + 21))\/(31\/(9114\/63)). Calculate the greatest common divisor of g and 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16, -19, -10, 17, 68, 149?\n\"Answer: q**3 - 10*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -27519*t**3 - 150*t - 17938620 wrt t?\nAnswer: -82557*t**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**3 + 79*f**2 - 34*f + 7. Give r(-40).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/10)\/(1\/(-8)). Let y(i) be the second derivative of -i**3\/3 - 5*i**2\/2 + i. Let n be y(m). Solve -2*b + n = -1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06309 * -56332.\nAnswer: 3553.98588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 11*o - 4 = 7*o, -4*o = 4*n + 20 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13969 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: Let y(f) = 1. Let w(i) = 5. Let x(a) = a + 10. Let v(j) = -5*w(j) + 2*x(j). Let t(r) = v(r) + 5*y(r). Let g(o) = -2*o. What is t(g(b))?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -36*g - 2. Let t(u) = -35*u - 3. Determine -3*j(d) + 2*t(d).\nAnswer: 38*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (6*sqrt(252) - sqrt(7) - (sqrt(14)\/(sqrt(8)\/sqrt(4)) - sqrt(7))) + -1 + ((1*sqrt(448))**2 - (4 + sqrt(21)\/sqrt(3))).\nAnswer: 34*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**3 + 9*v**3 + 8*v**3 + 0*v**3 - 35*v**3 + 14*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 2)\/((-10)\/4). What is the nearest to -2 in 0.4, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28436 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*10\/4*(-54)\/135?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - 4*u)*(-24 - 29 + 1 - 30).\nAnswer: 328*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m = -5*r + 259 + 35, -1392*r = -2*m - 1390*r - 110 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494 is divided by 130.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-2\/3)*p)\/((p\/(p**(2\/5)\/p))\/p))\/(p**(-2\/3)*p)**(-16))\/((p**1\/(p*p**1*p))\/(p**(2\/7)\/((p\/(p\/p**3*p))\/p))) assuming p is positive.\nAnswer: p**(877\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-2)\/((-4)\/(2\/(-1))))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m - 24. Let w be h(-9). Suppose 178 = 2*o - 4*t, -w*o + t + 291 = 3*t. Suppose o + 463 = 9*d. List the prime factors of d.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*g - 28755 = -75633 for g.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 20180.\nAnswer: 40360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 20 = -4*x - 5*m, -138*m - 8 = -140*m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(0 + (-2)\/(-1)). Let u(s) be the second derivative of s**5\/20 + s**4\/12 - s**3\/6 + 31*s**2\/2 - 16*s. What is the tens digit of u(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1443950226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 8*a**2 - 3*a - 9. Suppose y - 3*p - 15 = -p, -3*p = y + 5. Determine r(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 576?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 48. Let o(z) = -5*z - 4. Let x be o(-3). Suppose j = u, -9 = 2*u + 3*j + x. Sort u, a, 1 in decreasing order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65009 (base 11) to base 3.\nAnswer: 11210122101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4451453.704 rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*(-10)\/8 - 25532\/(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*h + 9*h**2 - 2 - 53*h)*(-554*h + 628*h + 2037*h + 1330*h).\nAnswer: 30969*h**3 - 6882*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11714, 11707, 11698, 11687?\n\"Answer: -s**2 - 4*s + 11719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5143, -10275, -15405, -20533, -25659?\nAnswer: -30783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -275 - -0.056.\nAnswer: -274.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*f**3 - 35*f**2?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -497\/6, 0.5, 4\/99, -0.01, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 1021 + b**2 + 1021.\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2 = -2*p, -4*h - 4 = -3*h - 4*p for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 1\/5, 1\/4, -1\/3, 444\/47?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/27))**(2\/33)\/(o**(-9))**(-48) assuming o is positive.\nAnswer: o**(-384914\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 6*u + 1848. Does 77 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - j**2 + 5*j**2 + 11*j**2 - 4*j**2 + 6*j**2.\nAnswer: 17*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 189?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1577*y = 2012*y. Suppose -2*n = -7 + 1. Let j = 1 + n. Solve y = t - j*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 4 + 4\/(-1). Let d = o - -13. Solve 4*u + d = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 10)*(0*n - 4*n + 2*n) to the form v + g*n and give g.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + n. Let z be d(2). Suppose 3*s + 4 = 5*s. Let t(y) = 0*y - 3*y + y**s + 4*y + 6 + 6*y. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 14*q - 89 = -11*q, 525 = 5*a + 5*q. Let s = a - 98. Solve 4*u + 5 = s*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35172 * 4\nAnswer: 140688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100010110100011011 (base 2) to base 12\nAnswer: 6a64b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -81499, -650993, -2196759, -5206933, -10169651, -17573049?\n\"Answer: -81356*r**3 - 2*r - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.13903?\nAnswer: -0.13903","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.289235005 + -1.2893. What is p rounded to seven decimal places?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4 - 2 + 3*h - 5*h. Suppose 4*t = 6*t - 4. Suppose 0 = t*b + b + 18. Determine o(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 16, s: 1, y: 1}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 20, 0 = -3*r + 4*r - 2*w - 12. Solve 0 = 2*q + r*q - 18 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348585388 and 4188?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 86*o + 27. Is q(11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.1 + 7. Suppose 15 = 2*c + 43. Let x be (-1 - 6\/c)\/2. What is the nearest to q in 0.4, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.8 + 11. Let d = 1568\/151 - 1035185\/2567. Let j = d - -393. What is the nearest to z in j, -2, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003641 to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1159941 + 0.116. What is n rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 857876330 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 3*l = -7*w, 4*w = -3*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 3*a**2 + a + 2. Let c be q(3). Let p be 10\/1*1 + 70\/70. Let l = p - 0. Solve c = -2*n + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*k = 288*k - 1188. Calculate the greatest common divisor of 165 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 11*g**2 - 10*g + 3. Let v be b(10). Let w(y) be the third derivative of 5*y**4\/24 + y**3\/2 + y**2. Is 9 a factor of w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)*1*-3)\/((sqrt(189)\/sqrt(3))\/sqrt(9))*-2.\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 621*t**2 - 2*t + 919.\nAnswer: 1242*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -14)\/(30\/285). Suppose 2*r - 49 - o = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*q - 5*i - 67, 2*q - 3*i - 36 = 0. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (3 - 7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -11065?\nAnswer: -11073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -413*r**3 + 354*r**2 - 354*r. Let o(u) = -u**3 + u**2 - u. Calculate n(i) - 354*o(i).\nAnswer: -59*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005809 rounded to 7 decimal places?\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 57. Suppose n - p + 6 = 0. Suppose 15 = -3*o - n. Which is greater: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10938850*c - 10938850*c + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261, 289, 343, 429, 553?\nAnswer: 721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 113?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 5*z**8\/56 + z**4\/24 + 26*z**2. Find the second derivative of w(q) wrt q.\nAnswer: 600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.42 * 2.\nAnswer: 52.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -55*p**5*x - 241743*p**3 - 3*p*x + 3251505*p - 2*x - 3 wrt p?\nAnswer: -1100*p**3*x - 1450458*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-789)\/2104*((-2)\/6)\/1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -241 + 223 - (-25 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*r - 565, 2*r - 888 - 534 = -5*w. Calculate the least common multiple of w and 22.\nAnswer: 3124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4031 + -4019. Solve 0 = -1222*q + 1220*q - v for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 10*u + 8. Let y be w(6). Let n = 142 - y. Let o be (-1)\/2 + n\/4. What is the greatest common factor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-12) - 0)*(-78252)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 16 + 4. Suppose -n*g = 3 - 23. Let t(c) = c**2 - 2*c + g*c - 2*c. Let q(w) = -2*w. Determine t(q(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k**2 + 0*k**2)*(-10337*k**2 + 10337*k**2 + 11367*k**3) + k**5 - 2*k**5 - k**5.\nAnswer: 11365*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, o: 1, r: 5, y: 3, c: 1}. What is prob of sequence er?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11997871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 127654504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 202857 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1511*1476.8\nAnswer: -2231444.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*k**2 - 622*k**2 + 342*k**2.\nAnswer: -1160*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*p - 4204 = 104*p - 4405. What is the highest common divisor of p and 669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 40\/15*18\/(-12) - -1738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 1494?\nAnswer: 7470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26.23 + 26. Let d = 16.77 - o. Let s = -17.00039 + d. What is s rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 438 and 1168?\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -175.1 + 170.1. Which is the second smallest value? (a) 8 (b) s (c) -1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034331 is divided by 286.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 42 = -7 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3233379*p**4 - 183*p**2 + 3155*p + 2 wrt p?\nAnswer: -77601096*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000418 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48087, -66668, -117107, -215334, -377279?\n\"Answer: -2655*w**3 + w**2 + w - 45434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -210*b**3 - 13*b**2. Let d(h) = 419*h**3 + 22*h**2 + h. Let y(o) = 6*d(o) + 11*k(o). What is the third derivative of y(f) wrt f?\nAnswer: 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 - 50. Let q(w) = 4*w**2 + u*w - w**3 + 1 - 24*w + 0*w**3. Let b(o) = o**3 - 7*o**2 + 6*o + 4. Let a be b(6). Determine q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 48*z - 9. Let x(v) = 12*v - 2. Let k(a) = 2*b(a) - 9*x(a). Let i(u) = -u. Give k(i(q)).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.1 + -3.1. Let z = -0.01296 - -0.41296. What is the second smallest value in 2\/13, z, 5, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -17*t. Let n(v) be the second derivative of v**3\/6 - 2*v. What is n(s(u))?\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 + 152*t + 1479. Calculate u(-37).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 11*1)\/(28*45\/840)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*t - 45, -5*t = 829949*x - 829946*x - 65 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/9, -4, 32, 0.0281 in descending order.\nAnswer: 32, 4\/9, 0.0281, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 314727?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 102120?\nAnswer: -102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/4 and (-1*(-7)\/196)\/(25\/655).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - -3*sqrt(66)*-2)\/(-5*sqrt(10)\/sqrt(5)))\/(1*sqrt(11)*-3 + sqrt(11) + sqrt(275)*6))**2.\nAnswer: 3\/784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from aqaaqqaaaq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2587, -20876, -70503, -167134, -326435?\nAnswer: -564072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 392*k + 259702 = 423*k - 33713. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.1 (b) -3 (c) 0.5 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let g be (-27)\/(-6)*(-2)\/(-3). Let j be i(g). Factor -2*c**4 + 0*c**4 - 4*c**j - 2*c**2 + 0*c**4.\nAnswer: -2*c**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 10*c**7\/21 - 2*c**6\/5 - 23*c**5\/20 + 7*c**4\/6 + c**3\/2 - c**2 + 25*c. Determine k, given that o(k) = 0.\nAnswer: -1, -2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 37, 61, 99, 157, 241?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:04 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtxi when four letters picked without replacement from mxmmtmittxmmtmmm?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.043843 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 813 - 724. Sort 0.5, f, -3, -13 in increasing order.\nAnswer: -13, -3, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*f - 8, 5*f = -7*y + 2*y - 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 911682505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 4 + 3 + 0 + -2. Suppose -p = -2*p + o. Suppose -6\/7*v - 2\/7*v**3 + 2\/7 + 6\/7*v**p = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m. Let s(n) be the second derivative of n**5\/4 - 4*n**2 - 3*n. Let t(o) be the first derivative of s(o). What is d(t(f))?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 3, w: 1}. Give prob of picking 2 v and 1 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002536 rounded to four dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5219, 0.1, 34 in ascending order.\nAnswer: -1.5219, 0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5056 divided by 8\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m + 5 - 3 - 5. Calculate c(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 13*x**4\/24 + 212*x**2. Let r(t) = -4*t**2. What is r(m(l))?\nAnswer: -676*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d - 33. Let n(c) = -5*c + 18. Let z(w) = -3*m(w) - 5*n(w). What is z(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*(-9)\/222*(-12)\/8?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 49 = 6*l - 4*l, 2*u + 32 = -l. Is 12\/u*(-30)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w*w*w*w**(2\/13)*w*w)\/w*w*(w\/(w*w*w**(2\/3)\/w*w))\/w)**(2\/99) assuming w is positive.\nAnswer: w**(350\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192613.2 millennia in months?\nAnswer: 2311358400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 726\/(-77)*-1*(-14)\/(-2). What is the units digit of 2*f\/12 - (-2 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 299, 1, -2, 3, 16, 29 in ascending order.\nAnswer: -2, -1, 1, 3, 16, 29, 299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 1)**2 + sqrt(704) + (1 + sqrt(176) - sqrt(11))**2 + (sqrt(891) + 0)*-5.\nAnswer: -15*sqrt(11) + 805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -352 + 356. Find the second derivative of 24*u**k + 69*u**4 + 28*u**4 - 2*u - 6 wrt u.\nAnswer: 1452*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of 0*n + 5\/2*n**2 - 7\/5*n**5 + 0*n**3 - 2 + 0*n**4. Find the second derivative of x(z) wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -12 + 13*q**2 + 16*q**2 + 54 - 3*q - 33*q**2 + 3*q**2. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggppgfffwgppggfwd. What is prob of picking 1 f, 1 d, and 1 g?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2593? (a) -1\/2 (b) -1 (c) -0.3 (d) 1\/6 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37.92827 micrograms?\nAnswer: 37928.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(320) - sqrt(20))*5)\/(sqrt(4) - (-4*sqrt(256) + sqrt(256))).\nAnswer: -1 + 3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/7))**(-2\/5)*(v*(v**(1\/3)*v*v)\/v*v*v)**43 assuming v is positive.\nAnswer: v**(19511\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -625069? (a) 1\/3 (b) -4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1. Let q(r) = 11*r + 11*r + 5 - 21*r. Let m(t) = 2*t + 13. Let u be m(-6). Determine u*q(h) + 5*c(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -328, -653, -978, -1303, -1628?\n\"Answer: -325*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 902 (base 13) to base 5\nAnswer: 22043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18865917 divided by 2695131\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 75\/2174741?\nAnswer: 75\/2174741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10848 divided by 104?\nAnswer: -1356\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -1\/60*y**6 + 0*y**3 + 0 + 0*y + 1\/6*y**4 - 28*y**2 + 1\/30*y**5. Factor o(s).\nAnswer: -2*s*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852*a - 182*a + 457*a - 36064 = 0 for a.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183442915.\nAnswer: 5, 463, 79241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 5. Let m be b(-9). Is (-3)\/(-12) + (-667)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 29 = 9*a - 14*a, -a = 2*m - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, t: 2, r: 2}. What is prob of sequence rrt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 376, 1048, 2012, 3268?\nAnswer: 4816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3291 = r + k, -2*r - 6588 = -4*r + 4*k. Suppose 10*b = 6*b + r. Let i = -322 + b. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 13*y - 256. What is v(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t**2 + 11*t**3 - 25*t**3 - 5*t**2 + t**2.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 8 = 4*b, 2*f + 2*b - 5 + 3 = 0. Suppose -2702 = -4*q + f*d, -665 = -q + 3*d + d. Let o = q - 186. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2198296 = 5*o, -4*o - 95*v + 1758627 = -94*v. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-2)*(-12)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(310\/96 - -1). Let j = 24959\/8 - 3127. Let m = o - j. Sort 5, -3, m.\nAnswer: -3, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192 + -121. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14058 and 4950.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33748563.\nAnswer: 3, 79, 157, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b*c*t**2 + 527940*b*c*t + 2*b*c + 1409*c*t**2 - 2*c*t wrt t?\nAnswer: 4*b*c + 2818*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11766384.\nAnswer: 2, 3, 7, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 36573?\nAnswer: 36570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 44*(12\/(-40))\/(12\/(-310))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2107210 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000075779823 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6, -5, 8, 39, 94?\n\"Answer: h**3 - 6*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15772 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = -93*k + 68*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 72, 192, 340, 510?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 489 and 56929054.\nAnswer: 56929543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u - 4. Let x be f(3). Let b = 162 + -186. Sort -2, b, x in decreasing order.\nAnswer: x, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/20 + (-13753048)\/(-5). Let w = -3920610 + b. Round w to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169 divided by 1921\nAnswer: -169\/1921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 14.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 1, u: 3, l: 3, h: 1, k: 3}. Give prob of picking 3 u.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-45)*5*(-3)\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000101 - -1011110?\nAnswer: -1011100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*k = 206*k + 1222 + 699 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 3031 (b) 2 (c) 366\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 1\/5, 1\/7, -1\/3, -0.1, -268524?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1649 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110586 and 6888.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84941?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0 - 4. Suppose 15 = k - z. Let r = 27 - 16. What is the remainder when k is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) -126 (b) -0.1 (c) 1\/4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 8:49 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347600?\nAnswer: 2, 5, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3*h = -32. Let a be 58\/(-2) + (10 - 2). Let l = a + h. Solve -3*s = 3*t + 6 - 3, -s + 4*t = l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 4:08 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 11*l + 24. Let s = 2 - 1. Let m(y) = -y + 5. Let r be m(6). Which is the closest to 2? (a) l (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**2 + f - 8*f + f**2)*(-35 - 38*f + 35).\nAnswer: -152*f**3 + 266*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1246109?\nAnswer: 157, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 6*f**2 - 104*f + 391. Determine d(5).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 8. Suppose 0 = -l + 3, 4*v + l + l - 54 = u. Let a = 166 - 34. Calculate the highest common divisor of a and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 495.0793g to micrograms.\nAnswer: 495079300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21216173 - 5*u + 21216168 + u - 42432341.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.677618cm to kilometers.\nAnswer: 0.00001677618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*p**4 + 35*p**3 - 55*p**2 - 35*p + 10.\nAnswer: 5*(p - 1)*(p + 1)**2*(9*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2 - l**3 + 2*l - l**2 - 1\/3*l**4. Let a(z) be the first derivative of x(z). Factor a(b).\nAnswer: -2*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n + 5 = 621. Calculate the highest common factor of n and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*l = 6*s - 32, -l + 23 = 5*s. Let f be (-4)\/2 + 7\/s. Put f, -3, -1 in increasing order.\nAnswer: -3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3 + 2)*-6)\/2. Calculate the highest common factor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-10994)\/(-1195))\/(22\/(-5))*(-5 + 3)*1. Factor j*o**2 + 0 + 0*o + 2\/11*o**3.\nAnswer: 2*o**2*(o + 23)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 8*h**2 + h + 6. Let g be w(8). Suppose 0*y - g = 5*a + y, 2*a = 2*y - 8. Sort a, -1, -5 in ascending order.\nAnswer: -5, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 23*p**2 + 641*p + 23970. Give b(-29).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 13*h + 153. Let m(b) = -b**3 - 27*b**2 + 16*b + 60. What are the prime factors of m(h)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f**2 - 2*f. Suppose 2*k = 3*k + z + 24, -2*k + 5*z = 20. Let s be 44\/k - (-2 - 0)\/10. Let h(y) = -20*y**2 + 9*y. Calculate s*h(a) - 9*o(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, o: 5, p: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 65*y**2 + 107*y + 2747. Give z(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 4*x = 0. Suppose 3*w = x, -w + 1 = -h + 4. Suppose -5 = -4*o + h. Solve 4*g = 16, -3*d + o*g = 2*d - 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148\/3 + 50. Let y be (24\/(-54))\/(32\/(-24)). Factor -h + 0*f**2 + f - y*f**3.\nAnswer: -(f - 1)**2*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 1 = -14*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - b + 670, a + 7*b - 2*b = -178. Let m(r) = -31*r - 8. Let x be m(-8). Let u = x + a. What is the greatest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(224)\/sqrt(2) - 2*sqrt(112).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.848922561 to 2 dps.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73.0544 - -73. Let n = t - -0.0543323. What is n rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 11*m + 14*m - 4845 = 0, 2*y - 3*m = 3220. Suppose 0 = -w + 4*n + 504, 5*n = -4*w + 487 + y. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 + 5*x**4\/12 + 11*x**2\/2 + 2*x. Is d(5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137190 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 5*s + 5. Let f be u(-5). Suppose -4*i = 4*l - 23 + 303, l - f*i = -52. Let m = 71 + l. Calculate the highest common factor of m and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 327106 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.5 and 138.523.\nAnswer: -207.7845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4264525 * 0.25.\nAnswer: 1066131.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1078*p**5 + 84123 - 84123 + p**2 - p + p + 2*p**5 - 3*p**5 - 4*p**3 + 4*p**3 + (0*p**3 + 0*p**3 + p**3)*(3*p**2 - 2*p**2 - 3*p**2).\nAnswer: 1075*p**5 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*p**2 - 5*p**3 - 4*p**3 - 2*p + 2*p wrt p?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/84 and 103\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/10 + 27202*l + 272022\/5 = 0.\nAnswer: -2, 272022","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(392\/(-21))\/(-7). Which is the smallest value? (a) -0.1 (b) 38 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, s: 4, b: 8}. Give prob of picking 1 r, 1 s, and 1 b.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 - 232\/(-320)) + -4 + 1 and ((-1)\/(-68))\/((8\/(-372))\/2).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/3*n**2 + 0*n - 2\/3*n**4 - 2\/9*n**3 + 0 + 2\/9*n**5 = 0. Calculate n.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141388*x - 141460*x = 360 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*w**3 + 4256 - 4256 - 3810*w**3.\nAnswer: -4940*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 - o + 4. Let q(f) = 12*f**2 - f + 9. Determine -9*a(t) + 4*q(t).\nAnswer: -6*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170\/15*(110\/(-66))\/((-25)\/(-45)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 2*y**2 + 0*y)*(2 - y - 2) - 9*y**2 + y + 4*y**2 + 2*y**2 - 2*y**3.\nAnswer: -4*y**3 - 3*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12266 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 41294.4, 0 in ascending order.\nAnswer: -4, 0, 41294.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -336, -775, -1402, -2229, -3268?\nAnswer: -4531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 4453908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 13*o**2 - 8*o + 2. Let g be f(-11). What is the remainder when (g\/6)\/(14\/21) is divided by 3 - -3 - ((-6)\/(-2) + 36\/(-4))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 609 - 489 = -4*p, 6*o - 16*p + 15 = o - 51 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13809 - -13813. Solve 0 = t*x - 4*p + 36 - 32, 2*x + 4*p + 14 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -774, -833, -892, -951, -1010, -1069?\n\"Answer: -59*q - 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3689*l + 121196 + 41120 for l.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2. Let t(k) = -155*k**2. Give t(h(v)).\nAnswer: -1395*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 615, 1261, 1935, 2637, 3367?\n\"Answer: 14*h**2 + 604*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/221 - 4\/195.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/70 - c**4\/3 - 31*c**3\/21 - 16*c**2\/7 + 61*c. Determine d so that y(d) = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 20*i**2 - i - 19. Let p be r(-20). Let s be (-22 - p)*(0 - 1). Let h = 3.1 + -3. Is s greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13.9 - 14.1. What is the biggest value in b, 0, 3, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 484, 593, 682, 745, 776, 769?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r. Let n(z) = z**3 - 3*z. Let c(o) = -3*o + 23. Let q be c(-14). Suppose f - q = -62. What is f*j(t) + 2*n(t)?\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/5, -2.7, -3\/61, -2, 0 in descending order.\nAnswer: 2\/5, 0, -3\/61, -2\/7, -2, -2.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 619952457?\nAnswer: 3, 43, 577, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, -3, -239, -639, -1209?\nAnswer: -1955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 - 9*c**2 + c**2 - 8*c**2.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13065 = -667*b + 278*b - 1717 for b.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2221 - 2221 - 59*y**2.\nAnswer: -59*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**2 + 6*b - 5. Let s(u) = 6*u**2 + 7*u - 6. Calculate 5*c(o) - 4*s(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 202*q + 11724. Determine y(-58).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - w - 1. Let o = -1 + 3. Let b be m(o). Suppose -2*v + 3 = -5. Solve -4*k - v*x + 4 = 0, -b*k - 3*x = 1 - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 11:16 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n. Let y(p) = -2656*p. Give y(t(u)).\nAnswer: 15936*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 50 - 48. Suppose -3*n + 3*f = 0, -5*f = 3*n + 6 + g. Let v = 12 + -14. Put 0, n, v in increasing order.\nAnswer: v, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1250)\/sqrt(5))\/(sqrt(125)*-1)*-4.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 731769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 h, and 1 l when three letters picked without replacement from hduhrluxuuurxuu.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -13*c**4\/12 + 1112*c. Let s(x) = 6*x**2. What is s(g(q))?\nAnswer: 1014*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-8577733.055\nAnswer: -8577732.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154 + 634*f**2 - 124 - 36 to the form j + q*f**2 + d*f and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-2)\/(-6))*4961040\/94496.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (328\/(-123))\/((2\/(-3))\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -125*a**4\/4 + a**3\/3 + 433*a**2\/2 - 2250. What is the third derivative of z(i) wrt i?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**6\/120 - 11*y**5\/60 - 23*y**4\/24 + y**3 - 2*y**2 + 319*y. Give p(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-191*y - 184*y - 123*y + (2*y + y - y)*(-4 + 2 + 5) + (-3*y - y + 5*y)*(-3 + 2 + 2))*(y**2 - 2*y**2 - 2*y**2).\nAnswer: 1473*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, -1, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-798)\/1512 - (-3)\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-816))\/(1\/(-994)*-7) + (-6 - -3)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in sixty-four fifths of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w**2 - 5*w - 3. Let q(h) = -2*h**2 - 5*h - 4. Let o(m) = 8*m - 75. Let z be o(9). Determine z*q(u) + 4*f(u).\nAnswer: -2*u**2 - 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a day in minutes?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 21. Solve -3*v + 3 = x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74 + -62. Let t be (-3)\/r - 15\/(-44). Let u = 6 + -6.5. What is the second biggest value in t, 5, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-221303*x**2 + 109538*x**2 + 110047*x**2 - 9*x)*(0*x + 0*x + 2*x) in the form l*x**3 + z + s*x**2 + c*x and give l.\nAnswer: -3436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/14 - 2 - (133 - (-870)\/(-7))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (144 - 20*z - 144)*(z + 0 + 0).\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 35\/6. Let q = -3 - -4. What is the biggest value in y, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 31*b - 1. Let z(a) = 62*a - 2. Determine 7*m(o) - 3*z(o).\nAnswer: 31*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 255034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -228 divided by -2?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.704259 nanograms?\nAnswer: 0.001704259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*b + 86, z + b + 8 = 38. What is the third derivative of -6*s**2 + s**6 + z*s**6 + 3*s**2 - 7*s**2 wrt s?\nAnswer: 3960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 413 + -2040003?\nAnswer: -2034040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409945082?\nAnswer: 2, 307, 449, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*g - 1673 = -2*b - 2145, 3*g = -4*b + 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1977471, 1977332, 1977101, 1976778, 1976363, 1975856?\n\"Answer: -46*n**2 - n + 1977518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2506358 or 10025433\/4?\nAnswer: 2506358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5661 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.34 + -0.96. Let p = f + 1. What is the nearest to -1\/3 in 1, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 5*s. Let r(u) = 3*u**2 - 8*u. Let n = 31 - 23. What is n*m(f) + 5*r(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-152)\/(-36) - 4\/18. Let n(m) = 2*m**2 - 5*m - 3. Let v be n(r). What is u in -3*u**2 + u**3 - v*u**2 - 6*u**3 + 0*u**3 - 4*u = 0?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 8*s**5 - s**3 + 6*s**3 + 3*s**5 - 5*s**2.\nAnswer: -5*s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3174*f**2 + 12582 with respect to f.\nAnswer: 6348*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 2. Let z be r(5). Let a = -8363 + 8363.4. What is the smallest value in z, a, -2, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 17 + (17 - 23 - (4 - 9))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 52080 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+4770194864725\nAnswer: 4770194864724.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46947.5 - -10.\nAnswer: -46937.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*i + 49, -5*i + 50 - 15 = 5*o. Let x = 1 + 6. Let c(q) = -o*q + x*q - q. Let w(j) = j**2. Calculate w(c(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 + -21. Suppose i + 259 = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 0.223.\nAnswer: 0.0669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -84*a - 17. Let n(o) = -14*o - 3. What is -6*c(x) + 34*n(x)?\nAnswer: 28*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 3:39 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/589 or 1056374?\nAnswer: 1056374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251201532.\nAnswer: 2, 7, 44685769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -207*j - 26. Let o(k) = -208*k - 36. What is -3*o(s) + 4*t(s)?\nAnswer: -204*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 3. Suppose 5*n = 16 - o. Suppose -n*k - 8 + 32 = 0. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 7 = 7*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34952245 and 4865?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z + 3*a = 9, 0 = z - a + 3. Solve z = d + v + 5, 3 = -4*d + 4*v - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -p**5\/130 + 7*p**4\/39 - 11*p**3\/39 - 2*p**2 + 3076*p. Determine d so that v(d) = 0.\nAnswer: -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17136 and 196?\nAnswer: 119952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q - 2. Let n(m) = -6*m + 3. Suppose 0 = 3*u - 62 + 2. Let l be 1\/(-4 + 84\/u). Determine l*z(o) + 4*n(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 550907998*f**2 - 49072062 wrt f?\nAnswer: 1101815996*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*h**4*i - 2*h**4 - 44*h**3*i - 10*h**3 - 2*h**2*i + 9*h**2 + 110*i + 2 wrt h?\nAnswer: -1776*h*i - 48*h - 264*i - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -243\/8 (c) 45\/4 (d) -1 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41007 + 67070 = 4*y + 26097. What is y rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56*(-11)\/528)\/(357\/9690).\nAnswer: 95\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 2*n**2 - 4*n**2 + 0*n**2. Let r(j) be the second derivative of -1\/2*j**3 + 0 + 0*j**2 - 5*j. Give m(r(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3912 and 12?\nAnswer: 3912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 19. Let r(h) = -11*h**3 - 2*h**2 - 3*h - 2. Let v be r(-1). Let q be (-65)\/(-25) + 4\/10. Solve b*u - v = q*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*d - 4520 = -5480 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51843047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1494, 6043, 13626, 24243?\nAnswer: 37894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22333101 (base 4) in base 7?\nAnswer: 245136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(3) + -4*(sqrt(3) + 1))*-5 + -3 + -1 + sqrt(243) + (-1*sqrt(243) + sqrt(243))**2 + (-1 + sqrt(243))**2 + 2.\nAnswer: 6*sqrt(3) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-4)*112\/(-504).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - s - 2. Let n be g(2). Let l(v) = -15749 + 15767 - v + 4*v. Calculate the smallest common multiple of l(n) and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -9858.\nAnswer: -39432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13504, 4, 16, 1, -3 in descending order.\nAnswer: 16, 4, 1, -3, -13504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - n - 1. Let a be o(2). Let z(s) = s**2 + 47. Let l be z(8). Suppose 5*w - a*r - l = -2*r, -2*w + 2*r + 46 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23748588?\nAnswer: 2, 3, 331, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -1664*c - 99. Let h(y) = -4*y**2. Calculate r(h(j)).\nAnswer: 6656*j**2 - 99","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 247305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.2 and -3.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 79\/2 of a microgram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3000113334 - 1?\nAnswer: 3000113333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(156) + sqrt(156)*1))\/(sqrt(192)*-1).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 13*u - 21. Let r = 109 - 120. Let b be o(r). Suppose 0 = -s - s. Solve s + b = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(1*(-2 + 1)). What is the tens digit of (b\/12)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -321\nAnswer: -34\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -790 or -791?\nAnswer: -790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 484 - 484. Factor -8\/9*k**4 - 10\/9*k**3 - 2\/9*k**2 + a + 0*k.\nAnswer: -2*k**2*(k + 1)*(4*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*t + 21. Let v(l) = -l**2 - l - 6. Let h be v(t). Let n be h\/(-30) - (-57)\/5. What is the greatest common divisor of 108 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let f = -16478\/25 + 2257686\/3425. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7*t + 7. Let h(g) = -g. Let f(m) = -48*m - 72. Let o be f(-1). Determine o*h(q) - 3*x(q).\nAnswer: 3*q - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q**3 + q**2 + q - 1. Suppose -5*w + 15 = -4*j - 11, 8 = -2*w - 3*j. What is c(w)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/v**(-5)*v)))\/v*v)**(-10)*(v**(-2\/5)\/v)**(3\/22) assuming v is positive.\nAnswer: v**(-7721\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39682054 or 39682068?\nAnswer: 39682068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from {i: 6, e: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(64) + (sqrt(64) - -4*-2*sqrt(64)))\/sqrt(2).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1 (c) 0.057 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 148.7654885 and 201726.\nAnswer: 201874.7654885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 60227 + 11792 = 3*g, 2*h = -4*g + 32308. What is the highest common divisor of h and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64321 + -23030. List the prime factors of b.\nAnswer: 157, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (88 - 64) + -6 + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 1.6, -0.1, -2, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1275 - -1270. Sort -38, r, 5 in descending order.\nAnswer: 5, r, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3995 and 3290.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177552166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -30. Suppose -192 = -2*c + 5*n, 3*c = 2*c - n + 96. Let l be c\/2*9\/6. What is the greatest common factor of l and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*m*q + 21*b**2 + 12*b*m**3 - 249*b*q**4 - m**3*q wrt q.\nAnswer: 3*b**2*m - 996*b*q**3 - m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 546, 2.5, 0.05, 0, 1\/3, 5 in decreasing order.\nAnswer: 546, 5, 2.5, 1\/3, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1167, -2335, -3503, -4671, -5839?\n\"Answer: -1168*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**2 - 33 - 41 + 3*g + 149 - 17*g**3 - 35 - 35 as k*g + y + o*g**2 + s*g**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 836268\/3547019 - -12\/17473. Find the common denominator of k and -17\/497.\nAnswer: 14413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - f**2 + 0*f)*(-39*f + 6 - 6)*(92 + 64*f - 92 + 1 - 2*f - 1 + f - 3*f + f + 1 - 1 - f + (-1 + f + 1)*(-4 + 1 + 2) + 0 + 0 - f).\nAnswer: 2262*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*u - 749, -3*u + 2816 + 908 = 5*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.858, 0, -0.2, -1\/8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**3 - 387*t**2 - 11*t + 1497. Determine p(129).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 7 = -2*c, -4*c + 2*v - 11 + 43 = -4*v + 5*v + 5*v for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**2*p**2*u - 71*i**2*u - 72*i*p*u - 61*p**2*u - 2*p*u wrt p?\nAnswer: -20*i**2*u - 122*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + ((-42 - -20) + 2 - (3 + 0)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(4\/5))**(-24)\/(f**(-5)*f**4)**(-33) assuming f is positive.\nAnswer: f**(-213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-4) - (-45)\/6. What is the least common multiple of -2 + 8\/6*c and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 19*v**5\/60 - v**4\/12 - v**3\/3 - 635*v**2. Calculate t(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.048465 * -11.\nAnswer: 44.533115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32407?\nAnswer: 23, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 4*z - 10, -3*z + 14 = 2*p - 3*p. Suppose 0*y = c - y - 9, 3*y = 4*c - 32. Let a = -34\/15 + 8\/3. What is the closest to p in -0.2, a, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 5)*(2 - 4*f - 2).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -19*z**2 + 20*z - 121. Let q(c) = -54*c**2 + 61*c - 363. Let f(l) = -17*m(l) + 6*q(l). Let n be f(20). What is the nearest to n in 5, 0.5, -1, 0.7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24458?\nAnswer: 2, 7, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*m + 129, 0 = 2*v + m - 3*m + 134. Suppose 12*u - 445 + 61 = 0. Let r = -35 - u. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9782638?\nAnswer: 2, 191, 25609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 10 = -2*j + h, -4*h + 18 = 5*j. Let k(s) = s**2 + 6 + 11*s - 2*s**2 - 5*s**j + 4*s**2. Let l be k(6). Solve 16 = -l*y + 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001207 to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*g**2 + 180*g**2 + 47*g**2.\nAnswer: 268*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.934 + 0.054. Let a = -147 - -147.12. Let c = a - g. What is the third biggest value in 5, 1\/5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610947333 to the power of 1\/2, to the nearest integer?\nAnswer: 40137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*t + 18 = 2*p, -10 = -4*p - t. Suppose 38*l + 8*l = -23*l + 207. What is the remainder when p is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-48)\/160*(-4)\/(-3)*945\/24 and -87\/2180.\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -45*v + 5. Let o(t) = 22*t - 2. Let i(w) = -2*l(w) - 5*o(w). Let j(p) = -p. Give j(i(b)).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8228*p**3 + 8046*p**3 - 44*p**2 + 42*p**2.\nAnswer: -182*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 276384, 276337, 276290, 276243?\n\"Answer: -47*o + 276431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 0*x)*(0 + 0 + 2*x) + x - x + x**2 - 2*x + 2*x + x**2.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9282251*c + 18564510*c - 2*c**3 - 9282311*c.\nAnswer: -2*c**3 - 52*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/84 and -169\/462?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 236 times -4\nAnswer: -944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1587 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 12*z. Let s(i) = -5561*i. What is s(g(y))?\nAnswer: -66732*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 20*g = 1142. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 13*o - 2*o - 52 to the form l + x*o and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -458\/51 - -96\/17. Which is the closest to 1? (a) 0.1 (b) -5 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0 - 3 = 0. Let y = i + 5. Solve 0 = l - y - 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3b0 - -32414?\nAnswer: 32064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/161703 and -61\/485109.\nAnswer: 485109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (-505)\/375*-1159 - -6. Let x be (-1 - -5) + 9352\/(-6). Let p = b - x. What is the common denominator of p and 89\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/88 and -99\/12112.\nAnswer: 133232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 499572 in decreasing order.\nAnswer: 499572, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 135. Suppose -l - 47 = -b. Calculate the remainder when b is divided by (38\/(-14) - -3) + (-374)\/(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(70)*-2 - sqrt(70) - sqrt(70))*1)\/((sqrt(100) - (sqrt(100) - (sqrt(100) - -1*sqrt(100))))\/sqrt(10) + (sqrt(10) - (sqrt(10)*-1*2 + sqrt(10)))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18.3, -0.2, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 67*z**2 - 2*z - 3. Suppose 2*t - 3 = -p - 0, -5*p = 5. Let u be f(t). Suppose 0 = 2*c - 209 - u. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3*p = 2. Let k(v) = v + v**2 + 400000 + v**3 + p*v**3 - 4*v**3. Let w be k(0). Round w to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/7 - 4518060*r\/7 - 2551608270450\/7 = 0.\nAnswer: -1129515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*x - 23 - 10, -4*x + 3*b = -21. Solve 13*t = x*t - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 207890760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, o: 1, u: 3, j: 3}. Give prob of sequence uk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*n = 0, n + n = -5*u. Let t = u + -2. Calculate the remainder when t + 6 + (1 - 1) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1875 + 1874. What is the nearest to m in -5, -8, -1, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.75009 millennia in months?\nAnswer: 69001.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 4*z - 13, 0 = -2*z + 2 + 2. Suppose -m - 6 = 4*s, -2*s = i*m + 3*s. Solve -4*w + m*w = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - u - 6 - 0, -5*u = 3*b + 17. Calculate the common denominator of ((-12)\/(-18)*b)\/(56\/(-334)) and -57\/77.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8\/8587 + 455903\/850113. Calculate the common denominator of -27\/374 and g.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**7\/735 + r**6\/3 - 70*r**5\/3 + 1193*r**2. Find a, given that c(a) = 0.\nAnswer: 0, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5040371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-11)*q*q\/q**(-22) assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23050331 (base 6) to base 3.\nAnswer: -1022220001201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9429608?\nAnswer: 2, 1178701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/((-642838)\/64288 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 1\/420*c**5 - 1\/840*c**6 + 0 + 20*c**2 + 0*c**4 + 0*c**3 + 45*c. Let k(i) be the first derivative of f(i). Factor k(q).\nAnswer: -q**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/14 and 119\/72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 53, 0, 5, -2 in descending order.\nAnswer: 53, 5, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 - 3*u**2 + u**2)*(-3*u**2 + 4*u - 4*u) + (131*u - 131*u - 7*u**3)*(-2*u + 2 - 2).\nAnswer: 11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 14, 671, -1, -4 in ascending order.\nAnswer: -5, -4, -1, 3, 14, 671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -558134941 rounded to the nearest ten thousand?\nAnswer: -558130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195524?\nAnswer: 2, 7, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) + 2 + -1. Let n = -4970 - -4981. Calculate the highest common factor of o and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116 - 115)\/(590\/(-380) - 6\/(-4)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6821177.\nAnswer: 11, 29, 21383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2487055 * 0.5.\nAnswer: 1243527.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*c - 48*c - 97*c + 21*c + 2*c**2.\nAnswer: 2*c**2 - 194*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 1 + 1 + 3*u**2 - 2*u**2 - 2*u**2 + (-u - 2*u + 5*u)*(2*u - u + u) + u**2 - 4*u**2 + 4*u**2 + 25*u - 7*u**2 - 25*u)*(2*u**2 + u**3 - 2*u**2).\nAnswer: -u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460.8548um to kilometers.\nAnswer: 0.0000004608548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.093 - 4.007. Let i = 0.1 + j. Let t = -0.241 + 0.641. What is the closest to 0.1 in 1, i, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2738729410 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27470308 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 22*t**2 + 7*t + 6. Suppose 0 = -4*i + 3*c - 29, c - 2 - 1 = 0. Is v(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -758 - -4754. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*r - 2 + 318*r + 14*r - 46*r + 215*r as u + g*r and give g.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1892*z - 1864*z - 827445 = 5659*z - 196640 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11377531214 + 3*p**2 - 11377531214 - p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100110 + -1111?\nAnswer: 100021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5871080 is divided by 352?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 21\/20, -3, -6, 0.5, 70?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 114 + 2*y + 116 + 104 - 12*y - 350 + 2*y**3. Give v(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7042.00007053 + -7042. What is l rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**5*n**2 + 68555*b**2*n**3 - 2826*b*n**3 + 4*n**3 wrt b.\nAnswer: 20*b**3*n**2 + 137110*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76)*-2 - sqrt(76)) + 2 + sqrt(76) + sqrt(76))*-3 + 0)**2.\nAnswer: -72*sqrt(19) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5715 + 6225. Calculate the remainder when 1025 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -228778*c**5 + c**2 + c - 10015?\nAnswer: -13726680*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z**3 - 43*z**2 + 19*z - 78. Give m(3).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (519\/(-11) + (-14)\/(-77))\/(-10). Let i = 26\/5 - v. Which is the third smallest value? (a) 4\/5 (b) 22 (c) i (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 5.252?\nAnswer: 5.252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yf when two letters picked without replacement from {m: 3, y: 2, a: 1, w: 4, f: 2, i: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1329, 2683, 4037?\n\"Answer: 1354*g - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1019 divide 4777072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1316 - -23.8684. Let o = -3.9 + 4. Is o bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27603*d + 35652.\nAnswer: 27603","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6247 + -3403?\nAnswer: -964a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1960)*2)\/(-2*sqrt(1152)))**2.\nAnswer: 245\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4 + 4 + (-6 + 0 + 4)*(0*o + 0*o - 3*o))*(o**2 - 2 + 2 + (0 - 3 - 1)*(-4*o + 4*o - 2*o**2)).\nAnswer: 63*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4969\/60942 or 1?\nAnswer: 4969\/60942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/((-684)\/(-60)))\/((-1)\/(-1))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3235959 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 40*j - 113. Calculate f(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4848\/540 + 1\/45\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 0 + 0 + 1 - 1 - y - 4*y + 0*y + 2*y + (-2 + 2 + y)*(0 + 3 - 2) - 4*y + 2*y + y - 13432*y + 560*y - 6749*y to v + k*y and give k.\nAnswer: -19626","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3410, -3344, -3294, -3260?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 159032720 divided by -516340\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -13*d**2 - 1\/12*d**5 + 4 + 0*d**3 + 0*d**4 + 0*d. Let r(h) be the third derivative of -h**4\/24 + h**2. What is s(r(m))?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1109? (a) -2\/5 (b) 8 (c) -1\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21994619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -56*p**2. Let n(k) = -3*k**2 + 117. Calculate n(a(v)).\nAnswer: -9408*v**4 + 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9 - 181*q**2 - 15 + 174*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**4\/2 + 592701*m**3\/2 - 296340*m**2 - 1778094*m = 0.\nAnswer: -2, 0, 3, 197566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112691035 to the power of 1\/2, to the nearest integer?\nAnswer: 10616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 825*y**2 - 5*y - 5. Let o be l(-1). Suppose 5*w + 5*u = 825, u = -w - 4*w + o. Let x = -69 + w. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5399, -5315, -5231?\n\"Answer: 84*j - 5483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h*h\/(h**1\/h)*h)\/h*h))))**(-20\/11)*h**(1\/7)\/(h**(1\/9)\/h)*h**0*h**(-6)*h*h**(1\/4)*h*h*h\/h**(1\/5) assuming h is positive.\nAnswer: h**(37673\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/834270972 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13292, 26582, 39872?\nAnswer: 53162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 9:03 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-1 + 4 + 1)*(-3*l + l + l + (0 + 2*l + 0)*(-4 + 6 - 3)).\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:55 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1131 - 3?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 5 = -2*s, 40*s - 36*s + 6 = 2*r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -427 divided by 2\nAnswer: -427\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2431 - -2431. Solve -3*f + 4 = -2*l + 2, x = 3*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (64\/24)\/4 - 7166\/(-6). Let p = k + -743. What are the prime factors of p?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 11*r**2 + 5*r - 1. Let w be c(11). Calculate the greatest common divisor of w and 1998.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4*n**3 - 9*n + 4. Let w(u) = -u**3 - u + 1. Let c = 4 + -10. Determine c*w(i) + g(i).\nAnswer: 2*i**3 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -440*g**3 + 393*g**3 + 204*g**2 - 214*g**2 + (4*g - 2*g - g)*(-5*g**2 - g**2 + 4*g**2) - 2*g**3 + 5*g**3 + g**3.\nAnswer: -45*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjj when three letters picked without replacement from {m: 1, b: 2, p: 2, q: 1, j: 2, s: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-5)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/30 - x**5\/5 - x**4\/3 - 4*x**2. Factor g(j).\nAnswer: -4*j*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -213, -428, -643?\n\"Answer: -215*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 28*c**2 - 28*c + 47. Calculate q(-29).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 4. Let u be -1 + w\/1 - -5. What is the remainder when 25 is divided by u\/(-4)*(-1 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 152 - -1784. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2 - -6) + -7)*-1. Suppose c + 0*c + 5 = 2*g, -4*g = i*c - 15. Let r(o) = 3*o. Give r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from {h: 1, a: 1, s: 1, l: 2, c: 2, p: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12092837 a multiple of 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 3*d - 10. Let r(f) = -f**2 - 8*f - 3. Let s be r(d). Calculate the greatest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.835531ml to litres.\nAnswer: 0.001835531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-13 - -23) + (3 - 17) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 5:03 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1670634 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + w + 12. What is the remainder when -7 + (3*30\/9 - (-159 - -94)) is divided by i(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.8513 to zero dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11122 and 209326?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -359*o**7\/210 + 73*o**3\/3 - 147*o**2. Differentiate u(y) with respect to y.\nAnswer: -1436*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**3 - 68 + 68)*(-5*z + 0*z + 6*z) - 2*z**4 - 3*z**4 + 7*z**4 + (2*z**2 - 3*z**2 - z**2)*(-4*z + 4*z + z**2) - 5*z**4 + 2*z**4 + 2*z**4.\nAnswer: -7*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + (-1 - -11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 743551141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 = -4*r, 4*z + 3*r + 7 = -0*z. Let q(u) = 118*u**2 + 2*u + 1. What is the hundreds digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 z when two letters picked without replacement from {u: 9, z: 10}.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1. Let q(g) = -2*g**3 - 2 + g**3 + 3 + 3*g + 0 - g**2. Let x be q(-2). Let u(c) = -2*c - 1. Calculate x*u(m) + 2*p(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 13*w = -28. Let h be (915\/4 - 8) + (-1)\/w. Let d = h + 38. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/1*(-50)\/300.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 62\/13, 4.\nAnswer: 1\/3, 4, 62\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 n when three letters picked without replacement from {q: 3, m: 3, n: 1, f: 3, d: 2, w: 2}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4853 (base 10) in base 9?\nAnswer: 6582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*k - 190, 17*h - 18 = 21*h - 2*k + 3*k for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.93671 + 0.06971. Let l = 8.914 + u. Let s = -0.047 + l. Which is the smallest value? (a) 0 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 309348406 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h - 70*h - 6 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*d**2 - 2*d**3 - 3*d**3 - 46*d**3 + 133*d**2.\nAnswer: -51*d**3 + 219*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 31506 - 55162840\nAnswer: -55131334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 22. Suppose -n = -3*q - q. Suppose 93 = -m + q*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1185, -1174, -1157, -1134, -1105, -1070, -1029?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 2. Suppose -n = 2*n + 3, 0 = 3*p + 5*n - 61. Let y(h) = -h**2 - 16*h - 11. Let g(d) = p*z(d) + 4*y(d). Find t such that g(t) = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 334*k + 12. Let t(u) = -30*u - 2. Let l(z) = p(z) + 4*t(z). Let f(n) = 2*n**2. Give f(l(y)).\nAnswer: 91592*y**2 + 3424*y + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + -17. Let a be -2 - 2 - (i - 13). Suppose a*y + 100 = 2*b, -2*b = 3*b + 5*y - 240. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 k, and 1 p when three letters picked without replacement from {p: 1, k: 3, e: 3, f: 1, r: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357 and 5838.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 1122102212?\nAnswer: 1122102210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 11 + 27 = 3*l, -16 = -5*l - 3*q for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -88*i**2 + 205. Let y(j) = 263*j**2 - 619. Let v(n) = 7*s(n) + 2*y(n). Differentiate v(r) wrt r.\nAnswer: -180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 2*m - 0*m - 4*m for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 0. Suppose -2*g + 7*g = m. Solve g*x = -x - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7b15b - -b9?\nAnswer: -7b072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*q + 235, 3*q - 2*q = 5*y + 67. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epbkeiekplbee. What is prob of picking 1 i and 1 b?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*v + 18. Calculate the greatest common factor of 6 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/6 (c) -5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j**4*p*r - 27*j**2*r - j*p*r + 4*p*r - 13*p with respect to j.\nAnswer: -24*j**3*p*r - 54*j*r - p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 1:54 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**3 - 108*l**4 + 278*l - 2 + 447*l - 80*l + 4 wrt l?\nAnswer: -1296*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700138 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: Calculate the greatest common divisor of 219 and 693500.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 6337*c - 6332*c + 0.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 421386201 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*m + 82, -x + 0 = -2. Let q = m - 11. Let t be (q - 9)*(-1)\/(-2). Let b(y) = -5*y**3 - y**2 + y. Calculate b(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + -5 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*56\/(-120))\/((-1)\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/50*2 - ((-90)\/25 - -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -669120.77 to the nearest ten thousand.\nAnswer: -670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i = 41*i - 84 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21989909, -21989910, -21989911, -21989912?\n\"Answer: -x - 21989908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-5)\/3*-3. Suppose -2*p - k + 1 = 0, z*p + 0*k - 4*k = -4. Let i = -3658 - -3663. Solve 0*v = -x + v + i, p = 2*x + 4*v - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60866299 to the power of 1\/2, to the nearest integer?\nAnswer: 7802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -668*p + 3 + 445*p + 0. Is q(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.778889g to nanograms.\nAnswer: 2778889000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 46 + -69 + (-1 - -9)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 40 = -3*x. Let m(g) = g**2 + 12*g + 32. What is the remainder when m(-16) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 8:07 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 32*s**2 - 818*s + 142. What is the units digit of b(40)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 3*m - 354, 0 = z - 5*m - 54 + 176. Let p = z + 177. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51345 or 51315?\nAnswer: 51315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/3 or -137859?\nAnswer: -137859","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2125\/3 (b) 2.7 (c) 66 (d) 1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 590647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46425572.\nAnswer: 2, 17, 682729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/((-12)\/(-8)))\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 681\/((-9)\/2*((-26020)\/(-3720) - 7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330031 (base 5) to base 16.\nAnswer: -2c02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 4*h - 3. Let u be a(2). Suppose 0 = -n - u - 2, 2*t - 5*n = 25. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(-2 - 5 + 5)*(2 - 2 - 1)*(116*m**2 - 116*m**2 - 62*m**5 + (2*m**2 - 5*m**2 - 3*m**2)*(2*m**3 - 2*m**3 - 2*m**3)).\nAnswer: -200*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73*-5.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 2.259?\nAnswer: 0.2259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*w = -45 + 3, 5*n - 2*w = -186. What is the closest to n in -3, 1, -2, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/10, 1\/395, 0.04, 2\/11, 0.02?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y. Let g(a) = -5*a**2. Let x be 36 + 2 - (-40)\/(-8). Let z(p) = 4*p**2 - 26*p**2 - x*p**2. Let q(u) = -45*g(u) + 4*z(u). Give q(r(f)).\nAnswer: 720*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(15\/20*-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 204, 189, 168?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-13) + 1\/(-1). Let n = -16\/45 - 2\/45. Let t = -0.05 + 4.05. What is the closest to n in w, t, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 - 33 - 38 + 2*w + 9.\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -12 and 8785861724.7.\nAnswer: 8785861712.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -13*d + 16. Suppose -15*p = -13*p - d. Solve 7*w = p*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -123, -185, -247, -309, -371?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 5, -114564, -1.\nAnswer: -114564, -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 53 - 19. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 33*r = -29*r + 4, -4*c - 8 = -12*r + 18*r for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72926699 is divided by 214.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*i + 300*i - 3196 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2*(sqrt(242) + (sqrt(242) + -1)*-5 + sqrt(242)) + -4.\nAnswer: -18 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by (115\/46)\/((-1)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116*f**4 - f**3 - 539*f**2 wrt f?\nAnswer: 2784*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.111953 decades to months.\nAnswer: 493.43436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h - 1. Let p be k(-3). Let z be 1 + 1 - p\/1. Solve 4*w = 16 - z for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - 53 - 45) + 0?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -649*i**2 + 414*i**2 + 1205 - 5*i**3 - 970*i**2 + 5*i.\nAnswer: -5*(i - 1)*(i + 1)*(i + 241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 - 11*x + 9. Let f(k) = 6*k - 5. Let p be f(2). Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -13. Let v be (0 - (4 + i)) + 4. Let c(s) = 3*s**3 + s**2 - 1. Give c(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 6:34 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -3, -4, 2 in descending order.\nAnswer: 6, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/(-168) - (-3)\/12. Let o = 18.52 - 18.42. What is the nearest to o in 4, r, -0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 199172 and 32930428?\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*q - 56 = 0, a = 5*a + 5*q - 110. Calculate the greatest common divisor of a and 720.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13532*i**3 - 2*i**2 - 9*i - 2876549 with respect to i.\nAnswer: -40596*i**2 - 4*i - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 10 + 250. Let d = -13 + r. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-18)*(-4 + 7). Let r be (-2)\/(-12) + 33\/18 + i. Suppose 4*k - 4*u + 3 = u, 0 = -k + r*u - 6. Solve 2*p - 3*l + 2 = -9, -p + k*l - 7 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = -18*x - 400. Suppose 0*n - x = -10*n. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f + 29. Let q be b(-10). Let r be -12*(-6)\/96 + (q - -1). Factor 1\/4*j**3 + 1 + 0*j - r*j**2.\nAnswer: (j - 2)**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14836*f**3 - 4*f + 4*f - 14963*f**3.\nAnswer: -127*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mumggghggghgfgumhgug. What is prob of picking 2 u and 1 g?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10847543.\nAnswer: 7, 523, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from {u: 9, a: 2}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d - -3616?\nAnswer: 3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u + 136*u - u**2 - 14*u + 2*u**2 - 3*u**2 to c*u**2 + z + w*u and give w.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 10*h + 220. What is x(20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 739 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 - 81. Let f = -0.2 + 0.4. Let h = 0.2 - f. What is the closest to 1 in y, 7, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12513121 (base 6) to base 16\nAnswer: -651a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1854 + 5433. Is 53 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/12 + v**4\/3 - 2*v**2 + 76*v + 7. Let z(x) = -6*x**2 - 7*x. Calculate 4*f(b) + 3*z(b).\nAnswer: 2*b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -363 - -362.6. Which is the third biggest value? (a) t (b) 0.1 (c) -1.18 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1027*n + 28991 + 39818 = 0 for n.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/20 and -39\/472.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**3\/3 - 5*j**2 + 7*j + 37. Give x(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 p when three letters picked without replacement from xxoxpwxpxwpxm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41693677*u - 41693677*u - 5*u**2.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/1 + 1 + 4. Let o = y - 5. Let d(c) be the second derivative of -c**5\/20 + c**4\/12 + 2*c**2 + c. Calculate d(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26*b - 49. Let z be x(-4). Calculate the highest common divisor of z and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1558, 5, 35?\nAnswer: -1558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 0 + 5 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -70*b - 2 + 0 + 3. Let g be (-6)\/(-4) + ((-459)\/6)\/17. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 691.1942s?\nAnswer: 691194200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(109*a - 218*a + 829*a**2 + 109*a).\nAnswer: -829*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -21553*x - 1077716. Determine c(-50).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2891230, 56, 0 in descending order.\nAnswer: 56, 0, -2891230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(12\/5)\/p)**(-16) assuming p is positive.\nAnswer: p**(-192\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 1\/204, 5, -0.3?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 10*x + 4. Let f be g(7). Solve -m - f = 5*w, m + 3*m = -4*w - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 695*s - 9*s**3 - 695*s.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d - 1. Let h be t(1). Let o = -62 - -86. Let b = o + -24.5. What is the nearest to 1\/4 in 5, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25609 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173*m - 186 wrt m.\nAnswer: 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(45))**2*5 + sqrt(10)\/(sqrt(6)\/sqrt(3)) + (sqrt(245)*2)**2.\nAnswer: 31*sqrt(5) + 1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + k + 4223, -4*l + 5*k + 8319 = -136. Is l a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (sqrt(72))**2 - (6*sqrt(72)*-4 - sqrt(72))**2.\nAnswer: -44925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17498 - 17499.2. What is the third smallest value in 2\/5, 3\/22, 2\/7, c, -0.4?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1196 and 11\/20?\nAnswer: 5980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 17152\nAnswer: 102912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(153)*2 + sqrt(153).\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 3*w**3 + 4*w**3 - 36 - 2*w**2 + w**3 to the form k + u*w**2 + t*w + s*w**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.04 + -0.04. Let i = g + -23. What is the third biggest value in 1\/4, 0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51636 * -6.506.\nAnswer: 335943.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/11)\/t**(-19)*t**(-18)*t*t**(-1\/4))**33 assuming t is positive.\nAnswer: t**(219\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u**3 + u**2 + u - 1. Let q(p) = 24*p + 368. What is the remainder when q(-14) is divided by s(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -2 + 10. Let l be 2\/k - (-85)\/(-4). Calculate the least common multiple of (-372)\/l - 6\/(-21) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -209270 and -6.\nAnswer: -209276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*x + 10. Let s be x\/(-3)*3*-5. Which is smaller: 2\/7 or s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20, 5, 18, 4, -1, -30 in ascending order.\nAnswer: -30, -20, -4, -1, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 29 = -4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62265 - -33361?\nAnswer: -25604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.66 + 1.46. Sort 3, d, 17 in descending order.\nAnswer: 17, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -13. Let k be i\/(-7)*(-37 + 2). Suppose -m - 3 = -7, -2*o + k = 5*m. Solve 7*p - 3*p + 2 = 2*q, -q - o*p = -8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.433 + -2.97. Let v = -40.537 - s. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*u + g, -2*u - 3*u - 5*g + 35 = 0. Let -13*n**u + n**2 - 7*n**3 - 5*n**3 + 4*n**4 - 4*n**2 = 0. Calculate n.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3776 + 3776 + 4749*i to the form b + m*i and give m.\nAnswer: 4749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) -369 (c) -3 (d) 21 (e) -5 (f) 1\/2 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + t)*(1 - 1 + 2) + 1 - 1 + 2*t)*(-2*t**2 - t + 2*t**2 + t**3).\nAnswer: 4*t**4 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 4, 6\/5, -1060, 2\/3, -0.4 in descending order.\nAnswer: 4, 6\/5, 2\/3, 0.02, -0.4, -1060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*t)*(-2 + 7 - 3 + (2 + 0 + 0)*(6 + 1 - 3)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 + -719\/15. Calculate the common denominator of v and -82\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = f - 14, -2 - 1 = -x. Let t(y) = 4*y**3 + 0*y**3 - 2 + 2*y**2 + 2*y - 3*y**3 + 2*y**f. Let q be t(-2). Solve -q*p - 2*p + 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2299, -1, -5, 4, -3 in descending order.\nAnswer: 2299, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -1 - 3. Let m be (-6)\/(-4)*g\/3. Does 2 divide m + (-1)\/(2\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + g + 306, f + 3*g - 53 = 21. Suppose -49 = -3*m + 2*c, 8*m - c - f = 4*m. Solve -4*d - m = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.57 + 4.57. Let x be 34\/(-84) + (-6)\/63. What is the closest to x in -4, -1.9, -1\/5, h?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k**2 + 7*k + 161. Let x be b(-12). Let g = 654 - x. Let p(w) = w**3 + w - 1. Calculate p(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336129 is divided by 1733.\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 55. Let m = -1 + -1. What is the smallest value in l, m, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/15*20\/(-8). Is (-71)\/o - (-2)\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (-3*(0 + sqrt(684)) - sqrt(684) - sqrt(684)))*4)**2 - ((-2*(sqrt(228) + sqrt(228)*-1))\/(sqrt(300)*-2)*6)**2.\nAnswer: -1920*sqrt(19) + 273664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(0 + (((3*((3*sqrt(108) - sqrt(108)) + sqrt(108)) - sqrt(108)) + sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108) - (1 + sqrt(108) + -2)) + 1)*5)**2.\nAnswer: 16800*sqrt(3) + 529600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42546 (base 8) in base 11?\nAnswer: -12391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 10:10 AM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 981 - 965 - (-278)\/(-17)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 460477 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: Let p = -6653 + 13996. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 569421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y - y - 3*y - y to h + v*y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285 = -8*s + 363. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aau when three letters picked without replacement from qaiqqqiaiiuac.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + -14011?\nAnswer: -13773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 - 185*p**3 + 18*p**2 + 164*p**3.\nAnswer: -21*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.65 - -0.36. Let r = -17.19 - a. Let h = -17 - r. What is the fourth biggest value in h, 4, 0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/5 + r**4\/12 + 5*r**3\/6 + 3*r**2\/2 - 38*r. Let i be a(-1). Solve -12 = i*b - 3*c, b - 5*c + 0*c = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62039121 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 169, 167, 165, 163, 161?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eb when two letters picked without replacement from {z: 4, m: 5, b: 4, e: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 905761858?\nAnswer: 2, 19927, 22727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 52613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -543*r + 558*r + 15. Sort 3, r, 640 in ascending order.\nAnswer: r, 3, 640","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 3*k - 3. Let v = 18 - 7. Suppose 0 = -z - 4*n + n - v, 8 = -z - 2*n. Give d(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 - 50 - 9*i)*(0 - 1 - 1) + (14*i + 21*i - 9*i)*(-2 + 4 + 0).\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-5 + (-8)\/(-2)). What is the greatest common factor of x and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, c: 2, m: 1, a: 8}. Give prob of picking 1 a and 2 c.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 4)\/(2\/(-14)). Let q = l + -5. Is 83*3\/3 + q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n. Let y(a) = 55926*a. What is t(y(z))?\nAnswer: 111852*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13011182 is divided by 650559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22753 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (35\/(-15))\/(18\/108*-21)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/9 - 12262*l\/9 - 40940\/3.\nAnswer: 2*(l - 6141)*(l + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**6\/120 - n**5\/5 - n**4\/24 - 7*n**3\/6 - 3*n**2. List the prime factors of s(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ybbyyyybbbyyyy. What is prob of sequence yy?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7431 + 17*b**2 + 13*b**2 - 7431 + 10*b**2 - 64*b**2.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/15)\/(5*36\/30).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**6\/120 + 7*u**5\/40 - 5*u**4\/4 - 13*u**3\/3 + 3*u. Let j(r) be the second derivative of t(r). Factor j(o).\nAnswer: -3*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of 0*r**3 + r**2 + 0*r + 5\/24*r**4 + 0. Let s(i) be the second derivative of -i**4\/3 + 14*i. What is s(h(m))?\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) + (-252)\/48. Let k be c - 12\/(-3) - -3. Let i be k - -1167742*31\/(-1). What is i rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-424)\/(-3498))\/((-124)\/(-4433))?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q)**(-43))**21 assuming q is positive.\nAnswer: q**602","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 6*w**2 - 3*w + 9. Let o be c(-5). Let v be o*(6\/135*5)\/(-1). What is the third biggest value in 1\/4, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -93631, -93628, -93625, -93622, -93619?\n\"Answer: 3*q - 93634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -458428.\nAnswer: 1\/229214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -n + n + n - 3*n + n + 0*n + (0 - 2 + 0)*(2 - 2*n - 2) - 2*n + 2*n - 3*n + (1 - 2 - 1)*(0*n + 0*n - n) - 4 + 4 + 3*n in the form w*n + c and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -185, -370, -555, -740?\n\"Answer: -185*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + -0.18. Let l = -16 + 12. Let z be (-1)\/4 + 47\/l. Is z not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - (-272)\/(-28) - 0\/1. Sort -2\/31, o, 7 in descending order.\nAnswer: 7, o, -2\/31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 69*q - 154. Calculate p(-2).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2642 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 3. Suppose 0 = -12*p - 28 - 44. Suppose 2 + 1 = -3*d - 3*q, 0 = -4*d - 3*q. Let u = d + p. Determine s(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = -5*h + 24. Let n be (13 - 15)*h\/4. Calculate the remainder when 76*n\/6 + -1 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/3 + 1 - -1. Solve i*b - 2*m = -3*b + 4, -6 = 5*b + 3*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25372?\nAnswer: 2, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 92 - 122. Which is the nearest to -3? (a) 5 (b) 16 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/3, 8, 1, 1\/4, -425 in descending order.\nAnswer: 8, 7\/3, 1, 1\/4, -425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 94163263*z + 81237106 wrt z?\nAnswer: 94163263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.15 + 5.201846. Round p to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.6. Let q(v) = -9*v + 390. Let y be q(43). Which is the smallest value? (a) -2\/7 (b) y (c) g (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.41 - -2.81. What is the biggest value in 1, q, 16, -0.4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.12, 4.2, -181 in descending order.\nAnswer: 4.2, 0.12, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (13\/(1001\/(-7117)))\/((-5)\/35). Which is smaller: -0.13 or j?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -223, 218, 933, 1928, 3209, 4782?\nAnswer: 6653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, 5, -6, 0 in increasing order.\nAnswer: -6, 0, 5, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11102 = -1214*g - 15179 + 5643 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 63712 + -12423916\/195. Calculate the common denominator of -23\/78 and f.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10233*w**3 + 536*w**2 - 54451570?\nAnswer: 30699*w**2 + 1072*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20150, 20144, 20138, 20132, 20126?\nAnswer: 20120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26410.08 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/24 - 2*w**3\/3 + 3*w**2. Suppose -3*l - 1 - 15 = 5*r, -l - 17 = 4*r. Determine j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6804*b - 208 - 244 = -6718*b + 494 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 77*b**2 + 116*b - 653. Is 4 a factor of y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/143374 and -179\/122892.\nAnswer: 860244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708, 6438, 22210, 53046, 103968, 179998?\nAnswer: 286158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (30*k + 3*k + 18*k)*(10 - 8 - 18) to n*k + z and give n.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d + 27 + 7 - 6 - 5 in the form p*d + o and give o.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 5*m**4\/2 + 56*m**3\/3 + 28*m**2 - 32*m - 36. Determine i, given that p(i) = 0.\nAnswer: -4, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)*-2 + sqrt(308) + sqrt(308))\/sqrt(11))\/(-2*sqrt(484) - sqrt(484)) + (-1*(sqrt(14) + sqrt(14)*2))\/(sqrt(12)\/(sqrt(30)\/sqrt(5))).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20948.3 and 893.\nAnswer: 18706831.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(1 + 1 + sqrt(720) + -4))**2 + -5.\nAnswer: -2901 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 0 + 3 - 2*q**5 + (1 - 1 - q**3)*(0*q**2 - 6*q**2 - 6*q**2).\nAnswer: 10*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*g**2*i*k**2 + 60*g**2*i - g*i*k**2 - g*i*k wrt k.\nAnswer: 156*g**2*i - 2*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 28*y + 82*y**2 - 43*y**2 + 80 - 38*y**2. Let q be h(-25). Solve -j = -2*j - q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21295.6046 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 8*s - 90. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 1:49 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 263088 + 0?\nAnswer: 263088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 417.84 - 167.84. Which is greater: u or -7\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-43)\/4*2). Suppose 11*o + 424 = 413. Which is greater: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/36 and -62\/24939.\nAnswer: 99756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 984 and 1340.\nAnswer: 329640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 57, 142, 261, 414, 601, 822?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-85) + (-1125)\/(-170) + (-51)\/(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = b - 24. Let w be 4\/(4 - 28) + 50\/b. Suppose -20*m - w = -22*m. Solve -m*v + 1 - 3 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -404425 bigger than 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*j + 47 = 49, -3*y - 16 = -2*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 7*d**3\/3 + 3*d**2\/2 + 52*d + 1. Let g(z) = -29*z - 7. Give 3*g(q) + 7*s(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-85) - (-64)\/34. Does y = 7\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -89150 to the nearest one thousand.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126602228 bigger than 126602224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 + 0 - 17 + 4 + 7 - 78*b**2.\nAnswer: -78*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 2.8. What is the second smallest value in 0, 1.3, h?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j + 11. Suppose -t - 4 = g + 1, -g + 2 = 0. Let z(q) = -7*q - 6. Let m(h) = t*z(h) - 4*l(h). Does 12 divide m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*v - 7*v**3 - 160*v**2 + 3*v**3 + 158*v**2 to k*v + g + a*v**2 + y*v**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-26 - -40) + -6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - d - 1. Let g be (-1)\/(3\/(-1) + 4). Let u(z) = -12*z - 9. Let q(p) = g*u(p) + 3*v(p). Solve q(r) = 0 for r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2851691156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190961 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 48 - 5*h**3 + 16*h - 91 + 27*h**3 + 44 to s*h**3 + c*h + i + b*h**2 and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 - 8*o - 3. Let i be p(11). Is (-5)\/i - (-37849)\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 711 + 5*a - 711 to the form h + t*a and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 8.2 (b) -1 (c) 2 (d) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 4. Let a be c(-3). Suppose -3*k = k - 12. Suppose 2*u = k*u. Which is smaller: a or u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + 0 - 1) + 1. Suppose -g - 19 = -3*d. Suppose -3*s + s = -d. Is s > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*z - 60*z - 152 = 0. Let p be z\/5 + (-84 - -94). Factor 12\/5 - p*u + 3\/5*u**2.\nAnswer: 3*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381, -439, -505, -579, -661, -751?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/72 and -35\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(304)*2 - sqrt(304)) + -2.\nAnswer: 2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/12 + 5*j**3\/6 + 5*j**2\/2 + 31*j - 10. Let v = -13 + 18. Give q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + -39. Solve l = -3*u - 3, 2*r - 5*u + 2*u = 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748239797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 244949, 489872, 734805, 979754, 1224725, 1469724, 1714757?\n\"Answer: c**3 - c**2 + 244919*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4344 + 4433412?\nAnswer: 4424013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 - -44. Let g = o + 9.645. Let z = -60 - g. What is z rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.20861 + 0.26861. Put s, -5, -0.5, -1\/8, 43 in decreasing order.\nAnswer: 43, s, -1\/8, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-4 + 8 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29514381 by -9838127.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 - 3*h + 2. Let v(x) = 13*x**2 + 27*x - 20. Let a(s) = -6*d(s) - v(s). Determine a(-13).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 129 + -132.02. Let d = -0.02 - x. Let c = 5 + -6. What is the closest to c in d, 3\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(108) + 4 - ((sqrt(108) + 0)*2)**2.\nAnswer: -429 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -15*a. Let b(t) = -2*t**2 + 345*t + 1600. Calculate l(b(v)).\nAnswer: 30*v**2 - 5175*v - 24000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-898)\/(-17) + (1487 - 1540)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 k when two letters picked without replacement from {d: 2, o: 2, z: 6, k: 4, a: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 - 84*k - 83. Let r(a) = a**2 + 28*a + 28. Let t(u) = 4*j(u) + 11*r(u). Let v be t(-11). Let z = 908 - v. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-18))\/(56\/1416)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**3 - d**2 + d - 5. Let v(j) = -9*j**3 + j**2 - j + 4. Let y(r) = -4*v(r) - 3*w(r). Let g be -6 + 14\/8*4. What is y(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 45140*y + 135381. Determine k(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 12. What is the first derivative of -13*a**b - 2*a**4 - 3 + 13*a**3 - a**4 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7563, 30205, 67941, 120771, 188695, 271713?\nAnswer: 369825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k*k\/k**2)\/((k*k*k**(2\/9))\/(k**8\/k)) assuming k is positive.\nAnswer: k**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 2:20 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3265 + 110405?\nAnswer: 104110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -139. Let l = -6.2 + 1.2. Let q = c + l. Which is smaller: q or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -21, 1038, 3, 1\/49?\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 4, q: 1, n: 7, w: 4}. Give prob of sequence nqh.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 10. Which is the closest to 0.1? (a) -5 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64081?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 12*o + 13*o + 3 + 2*o - 3 + (1 - 2 + 0)*(1 - 1 + o) to the form g*o + k and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 342 = -y. Let d be 27\/(-216) + y\/(-16). Solve -3*k = -d*k - 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2348119 is divided by 16200.\nAnswer: 15319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n + n)*(n + 0*n + 0*n + (-3 + 4 + 1)*(2*n - 4*n + 4*n) + 41*n - 11*n + 5*n)*(3*n - 4*n + 2*n).\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4083 divided by -3?\nAnswer: 1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k**2. Let s = -19 + 24. Let c(l) = -300*l + 300*l - s*l**2. Calculate q(c(m)).\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = -4*p, f + 2*p + 0*p = 2. Calculate the remainder when 8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3140749 to the power of 1\/2, to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -237 + 359. Let z = 365 + -177. Let x = z - v. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 7*d = 195. Let u be (-1287)\/(-22)*4\/3. Calculate the highest common factor of d and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 98\/16089081?\nAnswer: 98\/16089081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10289631 less than -10289631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -843 - -7?\nAnswer: -837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 702 + 136 = -3*o, 0 = -2*y - 10. What is the highest common divisor of 1104 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8512 and 22078?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -621, -1464, -2647, -4164?\nAnswer: -6009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.643 - -1212253148.\nAnswer: 1212253094.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 17 = x + 3*i, 0 = 2*x + 4*i - 24. Suppose -5*b = -3*b - x. What is the remainder when b is divided by -1 - (-4 + (7 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 0*b + 0*b**4 - 21 + 0*b**2 - 34\/3*b**3 + 0*b**5 - 1\/2*b**6. What is the third derivative of y(k) wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 0*u + 0 + 23\/30*u**5 + 0*u**3 + 58*u**2 - 25\/12*u**4. What is the second derivative of v(d) wrt d?\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002650906908 to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 11*n**2 - 27*n - 28. Let x(d) = 7*d**2 - 18*d - 19. Let o(i) = 5*p(i) - 8*x(i). Let b be o(9). Suppose t + b = 4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 8 = 1. Let s(m) = -m**3 - 4*m**2 + 4*m - 2. What is the units digit of s(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 6) + (-37 - (-14 - 15)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 26 = 2*f, -3*f - 4*p + 36 = f. Suppose -6*i - 2 = -5*i + f*s, s - 10 = 5*i. Which is the nearest to 0.05? (a) 2 (b) -1\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**3 + 38232*s**2 - 76452*s + 38224 = 0.\nAnswer: 1, 9556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, z: 1, b: 1, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 7:21 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -2*g**6\/45 + 28*g**5\/5 - 294*g**4 + 8232*g**3 - 129654*g**2 + 230*g. Find v such that n(v) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12066413 (base 7) in base 8?\nAnswer: 4064467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/1734 + -193\/578. Let v(q) = -q. Let w be v(-6). Sort m, 3, -4, w.\nAnswer: -4, m, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 9. Let c be s(-5). Suppose 0 = -8*w + 7*w - c. Is 4 a factor of w\/(-12)*(-36)\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63077600 and 1200.\nAnswer: 189232800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 18, -1.\nAnswer: -5, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20*0.227\nAnswer: -4.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 6054, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 14. Let m(f) = -f + 10. Let i(b) = -6*h(b) + 7*m(b). Calculate i(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10577 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -2.89888\nAnswer: -20.29216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1766 is divided by 877.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 7, e: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*b = -2*r - 1602, 2411 = 3*r + 2*b. List the prime factors of r.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r - 1. Suppose 6 = 4*l + b, 4*b + 3 = 4*l + 7. Let a(h) = -3. Let z(p) = l*a(p) - x(p). What is z(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**3 + 26*x**2 - 20*x = 0 for x.\nAnswer: -5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**2 - 7*c + 3852. Let n(p) = 6*p**2 + 11*p - 5779. What is 5*n(f) + 8*r(f)?\nAnswer: -2*f**2 - f + 1921","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 20. Solve 4*s + 1 + 7 = -2*i, 0 = -m*s - 5*i - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*z - 371*z + 1 + 192*z - 1.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111266 = 2496*a - 35998 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166 - 1063 = -69*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 287*z = -282*z + 30, x + 18 = -3*z. Solve -5*w = -5*l + 10, -2*w = -l - x*w + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2*t + t - 11, t - 25 = -2*h. Suppose 0 = -6*v - 12 - h. Let z be 1*v\/(-24)*-3*0. Solve -2*d + d = z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -3 (c) 0.1 (d) -1 (e) 0.125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (198\/(-8))\/((-2)\/7 - 154\/(-1568)). What is the highest common divisor of 3740 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 250.177 to 0 decimal places.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 4930739.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1381306500 divided by -6139140?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4479 + 1672. Suppose q - w = 1440. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 667964.1 millilitres?\nAnswer: 667.9641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-17 - -18 - (-3 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (-3 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 7*k**2 + 20*k + 31. What are the prime factors of p(15)?\nAnswer: 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, s: 8, e: 1, c: 1, z: 3}. What is prob of picking 1 e and 1 c?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 169 (b) 0.5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, 100, -3 in increasing order.\nAnswer: -8, -3, 3, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-288))\/(-8*(-8)\/(-1056))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + (-7 + 11 - ((5 - (15 - -4)) + 12))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23542, 47083, 70628, 94177, 117730, 141287, 164848?\nAnswer: 188413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 45.31746 microseconds?\nAnswer: 0.00004531746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 156*j - 28. What is the tens digit of c(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*x**6 + 2*x**2 - 5*x**6 + 10*x**6 wrt x?\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17378014?\nAnswer: 2, 41, 211927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1348)\/(-26) - (-48)\/312 is divided by -1 + (-1 + 19 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 16*k**2 + 106*k + 40. Let u be p(-21). Solve r = 5, y = 4*y - 2*r + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 + 208*w**4 - 3336*w**3 + 18848*w**2 - 18260*w - 40656 = 0. Calculate w.\nAnswer: -1, 3, 11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29934 or 3\/11473?\nAnswer: -29934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135782 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -543*k - 41108 = -25*k + 1510*k + 62320 for k.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14696 = 24*c - 35*c. Is c a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -7*j**3 + j + 1. Let z be (-2 - -9)*(-4)\/(-14). Suppose -5*c - h - 5 = 0, 0 = -4*c + 2*h - 16 - z. Is n(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - 4065?\nAnswer: -4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 44006544 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8000*d + 7997*d + p = -4, -46 = -22*d + 9*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459441, 459535, 459629, 459723, 459817?\nAnswer: 459911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -35 - 61*q + 48 - 13*q**2 - 8*q**2 + 6*q**2. Let j(g) = -7*g**2 - 30*g + 6. Let o(l) = 6*h(l) - 13*j(l). Find the second derivative of o(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, w: 2, t: 1, h: 1, d: 1}. What is prob of sequence ww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 1. Let m be n(-1). Let w be 102 + (-6 - (m - 0)). Is ((-34)\/(-6))\/(3\/w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/2 - (-33)\/66?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -142351.248 to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49406\/14289 - -4\/1299. Find the common denominator of h and 3 + -1 + -27 + -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3068649091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015089775 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 399.7409 + -2.\nAnswer: 397.7409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*9*2\/(-3). Let o be (0 - 0) + (5 - p). Suppose -3*d = -2*d. Put -2, o, d in increasing order.\nAnswer: -2, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31890264 and 1680.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4130818?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 633780760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8.2. Let z(w) = -2*w - 1. Let y be z(-5). Let o = -1\/15863 + 15872\/142767. Which is the closest to -0.1? (a) o (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbmbbbbb. Give prob of picking 4 b.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.8434 litres in millilitres?\nAnswer: 29843.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 + 3)*(0*y**3 - y**3 + 2*y**3)*(97*y - 1539*y + 206*y) to the form a*y**2 + t*y**4 + g + k*y**3 + v*y and give t.\nAnswer: -2472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d + 9. Let f be ((-6)\/d)\/((-2)\/(-24)). Which is bigger: f or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -730\/7 - -4513\/42. Calculate the common denominator of 6\/15 + (-92)\/(-45) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 16303957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffffwfffffffwfwfwffw?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211 - -11010121221002?\nAnswer: 11010121221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -368872\nAnswer: -737744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 16100 = 68*f. What is the least common multiple of 23 and f?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-2)\/(24\/(-14)). Let o = -0.3 + 0.2. Let t = 6 + -5. Which is the closest to o? (a) 3 (b) r (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*d + 17. Suppose d*y - 35 = 3*y. Let j(f) = -f**2 - 23*f + 3. Let z be j(-20). What is the highest common divisor of z and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 37 (b) 7\/12 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 914 + -910. Solve 9*g = i*g - 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 7882 + 2675 = 381*h for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y + 35*y - 1400 = 0. What is the greatest common divisor of y and 994?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.37 - -0.57. Let z = -4.6 - o. Let f = 3 + -2.9. Which is the nearest to z? (a) -1 (b) f (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52768\/15 - -3518. Which is greater: t or -0.91?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 89?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7937 = t + 2*c, 101*t - 15888 = 99*t + 3*c. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376139 to the power of 1\/2, to the nearest integer?\nAnswer: 2716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-30))\/((-3)\/(-5)). Let u be 4*(0 + 2\/(-20)). Let g = -0.5 - -0.3. Sort g, n, u in ascending order.\nAnswer: u, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/195 and -61\/2535?\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 597247894?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 161*w + 320*w = 155*w - 7, -2*w - 6 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let l(m) = -29 - 33 + 36*m + 62. What is l(q(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 54*j. Let f(l) = l**2. Determine f(d(h)).\nAnswer: 2916*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 + 72. Which is the fourth biggest value? (a) z (b) 5 (c) 4 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19288*c**2 - 23818 wrt c?\nAnswer: 38576*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54, -102, -144, -180, -210, -234?\n\"Answer: 3*y**2 - 57*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.17 - 2.1. Let q = -0.08 - u. Let i = q + 0.23. What is i rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 3:02 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11 + 1.11. What is the closest to -1\/2 in 4, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4 + s**3 + 2349*s**2 - 1388374*s.\nAnswer: 24*s**2 + 6*s + 4698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4060 is divided by 272?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/3 + 22*s**2\/3 - 8890*s\/3 + 66150.\nAnswer: 2*(s - 35)**2*(s + 81)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 99 = 4*l + l, -4*l = 5*q - 99. Let a = 25 - l. Factor 24\/7*o**2 + 4\/7*o + a*o**3 - 2\/7 + 10\/7*o**4.\nAnswer: 2*(o + 1)**3*(5*o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/9))\/p)\/p**(-14) assuming p is positive.\nAnswer: p**(124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from {o: 3, g: 4, r: 3, p: 3, f: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:44 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72745 and 6561599.\nAnswer: 32807995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147*v + 177*v + 690 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -211*r + 242*r - 6 + 843 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*n + 600 = 13*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 24. Let q be 5*6\/r + 3\/(-3). Solve o - 8 = 4*l - q, -l - 5*o - 28 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = -11*o + 102 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 65*t - 58*t + 98. What is the lowest common multiple of 11 and (27\/6)\/((-7)\/t)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpoppppookkkkkkop. What is prob of sequence pkp?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 3*o**2 - 3*o - 4. Let m be (-2)\/(-3 - (55\/(-15) - 0)). What is d(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 5.7. Let r = -52 - -49. Which is the second smallest value? (a) r (b) -2\/3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3\/3 + 2*m**2 - 9*m - 4. What is f(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11547 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let z be 3 - (1 - 0) - j. Suppose -5*y - 3*i + 808 = 0, z = -5*y + i - 170 + 974. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and -898027638376.\nAnswer: -898027638378.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -39045*m - 3 + 39048*m + 3. Let j(i) = -16*i. Let p be 1\/3*0 - -11. Give p*o(w) + 2*j(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 6 - -7 - (-1 - -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 - (-6 + -1) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**2 + 161*b + 489. Give o(-29).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 685, -2 in ascending order.\nAnswer: -15, -2, 685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362871 is divided by 36286?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 15 = 2*g + 18, 4*a = 3*g + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (195\/(-60))\/(-13)*((-64)\/(-6))\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t**2 - 7 - 8 + 17 wrt t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46570 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 445 + -438. What is the remainder when 403 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27189.\nAnswer: 3, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 108157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 + 72. What is the remainder when 54 is divided by i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4133, 3599, 2973, 2249, 1421?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 349570 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: Collect the terms in 9326*d**3 - 807*d**3 - 1523*d**3.\nAnswer: 6996*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20215112 (base 6) to base 2\nAnswer: -10001101000100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 262640 and 24320.\nAnswer: 79842560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 8*a**3 + 11*a**2 + 6*a - 11. Let p(b) be the second derivative of 3*b**5\/20 + b**4\/3 + b**3\/3 - 2*b**2 + 117*b. Give 4*c(w) - 11*p(w).\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*o + 1 + 4*o)*(-o + o + 2*o**3).\nAnswer: 4*o**4 - 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11215 + -11499. Which is the second biggest value? (a) 2\/11 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -105, -4\/71, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*v**2 + 3*v**5 + 169*v**6 - 4*v**5 - 179*v**6 wrt v.\nAnswer: -1200*v**3 - 60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10 = -2*g, d + 24 = 3*g - 0*d + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 7*p**2 - 23*p**3 + 24*p**3 + 16.\nAnswer: p**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -253. Suppose -5*m + t = 53. Calculate the remainder when m is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 156.4 + -156. Let y = 0.2 + -0.1. Suppose -f + 2*o + 12 = 0, 2*f + 8 = 6*f + 2*o. What is the closest to y in -2, f, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (0 + (-10 - -4)). Let u be (-1)\/(h*4\/16). What is the remainder when 510\/24 + u\/8 - 2 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 37?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2\/8 - 33537*t\/8 = 0?\nAnswer: -11179, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.246 - 3.05. What is o rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0, -0.05, 2\/13, -5 in decreasing order.\nAnswer: 2\/13, 0, -0.05, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-9) - 10\/(-3). Is (614\/(-8))\/((-1)\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/2 - 11127*o**2\/2 + 39639360*o - 56673620150.\nAnswer: -(o - 2630)**2*(o + 16387)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -150*l - 8. Let r(h) = 3*h - 1. What is -8*r(u) + w(u)?\nAnswer: -174*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 616.\nAnswer: 1\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4\/15 (b) -2\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*m - 0*m. Let d be ((-2)\/(-2))\/((-6)\/(-42)). Let b = -5 + d. Solve -f - b*f = m for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(9\/(-6) - -1). Let m = 1 - r. Differentiate -4*b**2 + b**2 + m*b**2 + 2 + 0 with respect to b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 93\/5. Suppose 0 = -m - 4*l + 11, m + 2 = 4*l + 21. Let k be (-2)\/(-5)*m\/24. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18476?\nAnswer: 2, 31, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 31. Let p be c\/(-2)*170\/(-17). Suppose 0 = p*v + 2*i - 7*i - 1310, -9 = 3*i. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k + k**2 + 4*k)*(0 - k + 0) + k**3 + k**3 - 3*k**3 - 34588 + 34588 + 538*k**3 as l*k**3 + z*k**2 + g + s*k and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:54 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*3*(sqrt(187) - 2*sqrt(187)*6))\/(3*1*(sqrt(275)*-3 + sqrt(275))).\nAnswer: -33*sqrt(17)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.001?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822230?\nAnswer: 2, 5, 82223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 753228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134, 129, 112, 77, 18, -71, -196?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 994 and 1038730?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 + 3146 - 3146 - 3*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 34*d - 4*d - 106272 = 0. Is 16 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 15 - 3. Suppose 3*o + 3*u = o - x, 3*o = u - 7. Which is bigger: 1\/7 or o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4300712 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 3)*(-1 + 1 - 1)*(-1 + 2 + 0)*(103 - 160 - 135)*(-2*j + 2*j + j)*(-3*j - 2*j + 3*j) to d + k*j**2 + o*j and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - p = -4. Let x(m) = -1 + 1 - p*m - 3*m. Let c(g) = 858 - 858 - 2*g**2 + g**2. Calculate x(c(d)).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -107. Which is greater: 2\/7 or h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48906.71 kilograms to micrograms.\nAnswer: 48906710000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0. Let f = -3 + k. Let o = -0.08 - -5.08. Put o, f, 0 in decreasing order.\nAnswer: o, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 221924 and 8?\nAnswer: 443848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**10*k)\/(k*k**8))**(1\/2)\/((k**(1\/3)\/k*k)**10\/(k**1)**(-21)) assuming k is positive.\nAnswer: k**(-97\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4 = -6. Suppose 9 = 3*d, 0 = -u - 5*d + g + 18. Suppose 5*f = -u*v + 295, -4*f - 16 = -8*f. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -103440351?\nAnswer: -103440356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.1 - -3.01. Let l = s - -0.09. Let i(f) = -f**2 - 4*f - 2. Let n be i(-2). Which is the third smallest value? (a) n (b) l (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/7*(-259)\/(-2). Let v = d - 43. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = 7*t + 1309. Let u = t + 109. Suppose 7*r - 3*r - h - 44 = 0, -u = -4*r - 2*h. What is the remainder when 26 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5, 8*p + 5*z = 7*p + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5280992 divided by 1320248.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 904086068 - 904086068 + 285*d.\nAnswer: 285*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 0 - 1\/12*u**4 + 0*u + 0*u**3 - 11*u**2. Let z(w) be the second derivative of -w**3\/6 + 4*w. Give o(z(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769933482.\nAnswer: 2, 3, 73, 89, 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-21 + -1)) + (7 - 16)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 524457487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/1056 and 107\/10176.\nAnswer: 111936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 4:33 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -n**6\/10 - n**2\/2 - 3*n. Differentiate r(s) with respect to s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -f + 91, 5*f - 518 + 193 = q. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 33*q**2 + 35*q + 37. Let i be (357\/(-14))\/((-9)\/(-12)). Suppose -4*u = u - 80. Calculate the lowest common multiple of a(i) and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1443 - 597. What are the prime factors of k?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -452 + 5472. Let s be (2 + -12)*(-2)\/4. Suppose s*r - 7*x + k = -3*x, -r - 995 = x. Round r to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from {m: 1, i: 5, y: 5, u: 8}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*r - 3 = -1, 0 = -j + r - 3. Let t = -6 - j. Calculate the highest common divisor of 4 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-121)\/(-22))\/((-4609)\/8380)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 11*f - 1. Let o be (-3)\/(-12) + (-90)\/8. Let x be n(o). List the prime factors of (-21)\/(-6) - x\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**3 + 74*y**2 + 52288*y wrt y.\nAnswer: -48*y + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 709520 >= 709517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/10 and 86\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 7*o - 6. Suppose 0 = -2*v - 2*v - 16. Calculate g(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 613990, 613992, 613994?\n\"Answer: 2*j + 613988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1 + sqrt(1900) + 3 - (sqrt(1900) + 1 + sqrt(1900) + 1)) + (1 + sqrt(19) + -3 - (sqrt(19) + (sqrt(19) - sqrt(133)\/(-2*sqrt(7))))))**2.\nAnswer: 184*sqrt(19) + 10067","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17717474 - 6482526. Round b to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11687\/48720 + 4\/(-14))\/((-8)\/(-100)) and -119\/940.\nAnswer: 22560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -8.00917773\nAnswer: 7.70917773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-78)*(3\/1)\/(-6)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-48))\/(3\/6). Sort 44, 0.3, n in decreasing order.\nAnswer: 44, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 72*y**2 + 161*y - 3174. Let z be s(-69). Let o = 35 - 316\/9. What is the closest to z in 22, -0.3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = b. What is the third derivative of w**b + 8*w**3 - 4*w**2 - 8*w**3 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30379*a**3 - 7*a**2 + 970259*a wrt a.\nAnswer: -182274*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b - -43b?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 166530, 166475, 166386, 166263, 166106, 165915, 165690?\n\"Answer: -17*s**2 - 4*s + 166551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -49, -51, -53, -55?\n\"Answer: -2*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {h: 3, o: 1, a: 6, y: 1, i: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104769 and 49.\nAnswer: 733383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + r - 4, 0 = -5*g - 0*r + r + 14. Let k(i) = 24 - 25 - g*i**3 + 0*i**2 + 0*i**2. Calculate the remainder when k(-2) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 73\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 830 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6.4 (b) 0.5 (c) 0.4 (d) 1\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -123.9093 (b) 1 (c) -0.4 (d) 2 (e) 1\/5 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*((-20)\/(-12) - 2). Let d be 3 + 75\/9 + (-2)\/f. Solve -5*w + w = d for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3061 - 3061.000001733. What is d rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141160 (base 9) to base 10.\nAnswer: -86157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/7)\/((-2374)\/24927)*(-2)\/21.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**4*w - 1648*q**4 - q**2*w - 2*q**2 - 4126*w wrt q?\nAnswer: -120*q*w - 39552*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -67273.81 + 67640. Let i = 368 - x. Let y = i - 1.689. What is y rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 - 35. Put h, 5, 1 in increasing order.\nAnswer: 1, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**4\/3 + 27656*n**3\/3 - 110460*n**2 + 579808*n\/3 - 276080\/3 = 0.\nAnswer: 1, 10, 6902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 714802499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by -1*34*-1 + (-54 - -59)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j - 51 = -22*j + 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/106*(-1516)\/758?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/26572 and -3\/75920?\nAnswer: 531440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -5, 106, 0, -3, -576, 5?\nAnswer: -576","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sskspkkspkk. What is prob of sequence kkp?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**9\/90720 - v**7\/15120 - v**4\/3 + 8*v**2. Let k(g) be the second derivative of q(g). Factor k(p).\nAnswer: p**2*(p - 1)*(p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 0) + (-60 - (-70 + 34) - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 4, g: 3, j: 6, d: 2}. Give prob of picking 4 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/65, -0.04, 6265, -4, 0, -2.\nAnswer: -4, -2, -0.04, 0, 2\/65, 6265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7837425 divided by -51\nAnswer: -153675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*2 + sqrt(150))\/sqrt(5))\/(sqrt(6) - (sqrt(6) - sqrt(384)*-1)) - 6*(sqrt(4500)\/sqrt(9)*2)**2.\nAnswer: -12000 - 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 - 14*r - 8. What is the remainder when 473 is divided by s(9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1, -9, -19, -29?\n\"Answer: -10*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10*m = 267 - 132, 4*v = 5*m - 105. Which is the second biggest value? (a) 2 (b) v (c) -0.19 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 15*m - 75 = 0. Suppose -m = -5*i - 5*w, -3*i + w = -0 - 5. Solve 0 = 5*v + t + 3*t + i, -22 = -5*v + 4*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in -5\/8, 31, 2\/15, -3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1084933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1171319 less than -1171314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 53961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-930)\/(-1550)*(18 + -2 - 1). Solve -3 = -u*o + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 178745 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1142983.1 to the nearest one hundred.\nAnswer: 1143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/28 + 103\/4. Let i be (-4)\/o - 54\/(-13). Which is the third smallest value? (a) i (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 746003002 to the nearest integer?\nAnswer: 907","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j - 22 = 5*o - 14*j, 0 = 4*o + 5*j - 55 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-183)\/1220*(530\/18 - -1) and -83\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 839 + -834. Solve l*i - 2*j - 3 = 15, -3*i + 3*j + 9 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:05 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10021 = 78*r + 12751 for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2775 and 18165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -14) + 0 + -66 + 18 + -21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53439700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 5*t**2 - 1926351*t + 1926405*t - 15*t**2 - 3*t**3 to f*t + r + v*t**3 + b*t**2 and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (sqrt(19) + 2)**2*5 - (sqrt(76) + (sqrt(76) - (-5*sqrt(76) - sqrt(76))) - sqrt(19))) + 2.\nAnswer: 6*sqrt(19) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 299.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + a86?\nAnswer: a84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 2\/(2\/(-4)*2). Sort d, -3, -1106.\nAnswer: -1106, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-10) - (-26)\/4. What is the second biggest value in r, 1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36721439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 49819 and 421.6.\nAnswer: 50240.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 507124935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 27*p**2 + 9*p + 466. What is the thousands digit of f(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -401\/30 - -85\/6. Suppose -4*s - 28 = -3*x, -x = 3*s - 2 - 3. Suppose 0 = 4*i + x, 0*t - 2*t - 5*i = 16. What is the second biggest value in 4, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.6 - -20.556. Which is the second smallest value? (a) 0 (b) 1\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253769 (base 12) in base 2?\nAnswer: 10010100010110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 5831, -608\/21 in ascending order.\nAnswer: -608\/21, 1\/3, 5831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 smaller than 324?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658483893 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561 - -569. What is the closest to -1 in -9, 0.3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -6. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -5. Suppose -2*w + a = y, -16 = -3*w - 2*y + y. Let b = w + -3. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - -6) + 56 + -1.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 68. Let x = r + -44. Suppose 3*w - 151 = 2*v, -5*v - x - 6 = 0. Calculate the remainder when w is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 4:37 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2362013505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y. Suppose 3*m = m - m. Let b(g) be the first derivative of -3 + m*g + 1\/2*g**2. Calculate b(w(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -671 + 719 - 4*k**2 - 733 - 256*k - 1225 - 2186.\nAnswer: -4*(k + 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 26 (c) 0 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -341, -587, -821, -1037, -1229?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1616624 and -87\/150508.\nAnswer: 318474928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.08 (b) -94 (c) -87\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**3 - 27*q**2 + 19. Let z(g) = -g**3 - 9*g**2 + 6. Let s(a) = 3*p(a) - 8*z(a). Let h be -1 - ((-10)\/(-2) - -3). Does 4 divide s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 54*f**2 + 105*f + 396. Let d be q(56). Solve -6 = -2*x + 4*h, -h - 6 = d*x - 27 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-35)\/(-3) + 80\/15 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1090*-110\nAnswer: 119900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -0.0391\nAnswer: -0.391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252 + -204. Calculate the greatest common factor of 664 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 87, 172, 257?\n\"Answer: 85*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000176085022 to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -968637 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-3) + 1)*2. Suppose -2*t = g - 12, -2*g + 2*t + y = -14. Suppose g = 4*q - 30. What are 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 next in -4980, -4981, -4982?\nAnswer: -4983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(96\/(-4)))\/((-2)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*i = -363*i + 265*i + 13237 for i.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*a**4 + 1)*(2 + 17 + 265*a - 21).\nAnswer: -530*a**5 + 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 969*o - 21324. What is l(22)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + l**2 - l - 6. Let s be n(3). Calculate the remainder when 41 is divided by 0 + 6 - (-28 - s).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 78?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1052002*c**2 - 17*c + 35. Let k be q(5). Round k to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284.019 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 39. Suppose -41*n - 20 = -46*n, -4*p = n + 32. Calculate the remainder when y is divided by 9 - -7*p\/21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/9 - (-4414)\/(-18). Let k = z + 346. Suppose f = -p + 19 - 0, 5*f + 3*p - k = 0. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 1, -2\/5.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 9:55 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 9*x - 5. Let k(s) = -3*s**2 + 3*s + 11. Let o be k(-2). Calculate d(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703227 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 3*u - 2*u**3 + 3*u - u + 3*u**3. What is i(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*q - 29. Suppose q*l = 25*l - 2. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 3*c - 21, 0 = -2*c + x + 8. Suppose 29 = c*w - 6. Suppose w*k - 3*k = 48. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/130 and 137\/234.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-11 - 4) + 42) - -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 409602 - -40 - ((-7 - -2) + (0 - 2)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -14 + (2 - -25)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 3:44 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -7*g**2\/2 + 6735. Let y(i) = -13*i + 1. What is -5*r(z) + 3*y(z)?\nAnswer: -4*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 y when two letters picked without replacement from xpmxommym?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 - y**3 - y**3 + (4 - 4 + 2)*(-y + 2*y**3 + y) - 21742 - 172*y**3 + 21742.\nAnswer: -166*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/690 + (-8)\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -1\/8*w**4 + 0 - 2\/3*w**3 + 1\/30*w**5 + 0*w - 2*w**2. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 12*y + 3 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 1, j: 3, u: 4, e: 7}. What is prob of picking 2 e and 1 j?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -1125. Let s = v + 9187\/11. Calculate the common denominator of (-2576)\/(-47656) + 938\/444 and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 4943 = -4899 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21.2325km?\nAnswer: 2123250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 59*s + 1459. Calculate c(38).\nAnswer: 3701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 32033*q + 33465*q + 2)*(7*q + q + 6*q) to the form l + v*q + o*q**2 and give o.\nAnswer: 20048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 2*z - 0*z + 8, 2*x = -4*z - 10. Let f be 6\/(-18)*(-17 - x). Let r be 111\/f + (-1)\/(-2). Solve 3*i + r = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4\/3, 0.3, -3, 0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 4, 2670, -5 in decreasing order.\nAnswer: 2670, 4, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8510 divided by -14\nAnswer: 4255\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/(5\/20). Suppose 0 = -x*m + 8, 4*k = m + 1393 + 247. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 3*l**2 - 17 - 5*l**3 - 3*l**2.\nAnswer: -5*l**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -757*u**4 + 4*u**3 - 6*u + 35364 wrt u?\nAnswer: -3028*u**3 + 12*u**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20)**(-2) assuming l is positive.\nAnswer: l**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1749 and 66?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 4*c - 45, -37*c + 33*c + 4*x = -40. Suppose -2*f + 3*d = -2039 + 99, -c*f = -4*d - 4843. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -318314 (b) 1\/2 (c) 2\/3 (d) -0.2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9*3 - 3) + 6. Let z be -1 - 0\/(-1 + -1). Put -3, d, z in increasing order.\nAnswer: -3, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -166*k - 9. Let j(y) = 389*y + 18. Let g(c) = -3*j(c) - 7*v(c). Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c\/c**(2\/9))\/c))\/((c**1*c)\/c) assuming c is positive.\nAnswer: c**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-16)*140*(-27)\/(-756)\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -106 and -27047.\nAnswer: -27153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - g + 108. Suppose 20*w - 10 = g*w. Solve -4*l = l + 15, 3*z = w*l + 24 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*o - 3. Let t(f) = 2*f**2 - 2*f + 3. Let r be t(2). Suppose -5*n + r = 2. Solve -4*m - n = -o*v - 25, -5*m + 3*v = -27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-108)\/(-50))\/((-6)\/10480). Let b = -527607\/140 - s. Calculate the common denominator of -49\/12 and b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 3 - (-17 + 7). Let s be -4 - ((-42)\/35)\/(k\/80). Factor s*o + 50\/7 + 2\/7*o**2.\nAnswer: 2*(o + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-282)\/235)\/(6\/(-40))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -t, 2*c + 4*t - 15 + 3 = 0. Let z(a) be the second derivative of 0 - 4*a - a**4 + 0*a**c - 1\/2*a**3. What is j in z(j) = 0?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50880180 to the nearest one hundred thousand.\nAnswer: -50900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 636940859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 21 = 5*c. Let n be ((-3)\/6)\/(4\/(-11640)*c). Suppose -n = -4*s + 83. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30756.86m to micrometers.\nAnswer: 30756860000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 122) + 6 + 17 + -1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -65626 from -0.2.\nAnswer: 65625.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.615787 centuries to millennia.\nAnswer: 0.4615787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 7:06 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430 + 168 = 35*j - 9*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/495463 + -10396811\/1960051628. Let o = j - -31448\/8901. Find the common denominator of o and 139\/60.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p + 17*p + 636 - 636.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/20)\/((-602)\/1204).\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 7:47 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2030 and 464.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3858825 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 11:36 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 319*p + 110. What is q(-81)?\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(198)*6 + 1*sqrt(2662))\/((sqrt(110) + -4*sqrt(110)*-2)\/sqrt(10)).\nAnswer: 29*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -645*119\/(-28) + (-1)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 11*k + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 5*n - k, 6*n + 20*k = 24*k + 232. Solve -38*u - n = -20*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*j**2 + 9*j + 4*j + 41*j**2 + 6*j**2 wrt j?\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -4*h**2 - 7*h - 2. Determine o(-6).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 231896 - 115051. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 + 27\/4. Let f(m) = m**3 + 6*m**2 - 8*m - 9. Let w be f(-7). Let g be (3\/(-15))\/(w\/(-4)). Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -1\/5*z**5 + 0*z**4 + 0 + 4*z - 1\/2*z**2 + 1\/6*z**3. Suppose 2*o - d + 8 = d, -o - 24 = -5*d. Determine g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 4:57 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 2*h + 3*h + (1 + 3 - 3)*(-5*h + 3*h + 4*h) - 9*h - 27*h + 10*h in the form y*h + o and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 13.694?\nAnswer: -12.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 5*o + 16. Let s(g) = -g + 3. Suppose -3*x = -7*x - 1148. Let y = -285 - x. Calculate y*f(c) - 11*s(c).\nAnswer: -2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -896*z**4 - z**2 - 18910?\nAnswer: -3584*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 5*b + 4 = 10, q + 2*b - 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/5 + 943\/(-115) + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*g + l, -4*g = -5*g + l + 7. Let v be 42\/9 + 1\/3. What is the third derivative of y**2 + 2*y**v - 7*y**5 + 3*y**2 + g*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g + 21. Let z be l(16). Suppose -z*d = 5*p - 6*p - 808, p = 2. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42751 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {l: 4, c: 3, n: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = 9*m + 32*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41 times 16380076\nAnswer: 671583116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1918 + -1931. What is the biggest value in 1, w, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0, -31\/35, -2\/7, -2?\nAnswer: -31\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 7:02 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/7 - 2139*r**2 = 0. What is r?\nAnswer: -14973, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*f**5 + 6223*f**4 - 44758*f**2 + 6*f?\nAnswer: -1680*f**2 + 149352*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - q = -264, 835*q + 12 = 837*q. Suppose 0 = 7*y - 3*y - 8. Suppose 2*d - 88 = -y*d. What is the remainder when k is divided by d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*o - 51*o = -54 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 3*m**2 - 4*m**2 + (0 + 2*m + 0)*(-6 + 3*m + 6) + 538*m**2 - 103*m**2 - 223*m**2)*(-4*m + 3*m - m - 2).\nAnswer: -440*m**3 - 440*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49\/228 + 9\/76. Which is bigger: -191 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2) + -3*(sqrt(2) + -1) + -1*sqrt(2)*-5)**2 + -1 + 3*(sqrt(18) + -1) + ((sqrt(484)*-2 + sqrt(4))\/sqrt(2))**2.\nAnswer: 117*sqrt(2) + 1040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 267.\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5639\/8 - 705. Which is the closest to -7? (a) -2 (b) 0.6 (c) 0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-5) + (-144522)\/(-30) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2700614508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*l*o**3*v - 5*l*o + 27*o**3*v - 15*o**3 + 7091*o**2 - o*v + 10776*v wrt v?\nAnswer: 4*l*o**3 + 27*o**3 - o + 10776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 42 = -0*u - 0*u + 3*u + 14*n - 4*n, -5*n + 68 = 19*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-588)\/(-63)*(-6)\/(-8). Let v(p) = 166*p - 156. What is the hundreds digit of v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 1. Let f be (-9)\/(-9) - (-21 + 1). Let j be (-70)\/f + 2\/6. Let u be -6 - ((j - -2) + -1). Give o(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/16)\/21*2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (7\/18)\/((-19)\/(-57)). Let w = -3 - -3.3. Which is the biggest value? (a) 2 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(152) - sqrt(152)))\/sqrt(8).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5759 - 6226.2. Let n = -561 - a. Let j = 94 + n. What is the biggest value in -2\/3, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/2 (b) 5 (c) 14 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 740*j**2 + 17208*j - 106848.\nAnswer: 4*(j - 159)*(j - 14)*(j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (11 - (3 - (4 - 6)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 132. Let v(y) = 67*y + 294. Calculate the remainder when f is divided by v(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = u + 7, -3*u + 15 = 2*q + 34 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23349 greater than or equal to -6620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*d + 9. Suppose -2*n - 4 - 2 = 0. Let b = 30 + -28. Sort 4, n, d, b in decreasing order.\nAnswer: 4, d, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8124 divided by -1709.\nAnswer: -8124\/1709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 3*y**5\/20 - 466*y**3\/3 - 1359*y**2\/2 - 4021*y. Differentiate f(s) with respect to s.\nAnswer: 9*s**2 - 932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -24*g**2 - 9*g. Let k = 155 - 157. Let o(p) = 6*p**2 + 2*p. Give k*n(d) - 9*o(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 135575 (base 8) to base 9\nAnswer: 72750","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - ((0 + sqrt(180))*2)**2 - ((6*sqrt(20) - sqrt(5))**2 + (1 + -1*sqrt(5) - sqrt(5))).\nAnswer: -1326 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 - 2*m**3 + 2*m**3 + (-2*m - 3 + 3)*(m - m**3 - m) + (m + 32 - 32)*(0*m + m**3 + 0*m) + 47 - 47 - 23*m**4.\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**29*n\/n**(-24))\/(n*n**16)**15 assuming n is positive.\nAnswer: n**(-201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 860138129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16824 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -458*l**2 + 458*l**2 + 11*l**4 + 0*l**4 - l**4 - l**4 + (-3*l**3 + l**3 + 0*l**3)*(2*l - 2*l - 3*l).\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5233, -4\/33, -2\/3?\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/501?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - (-17)\/(-6)) + (-31919999500)\/600. Round u to the nearest one million.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3688 - 11184 = -99*o - 577*o for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -49444*p**2. Let k(g) = 3*g**2. Calculate b(k(h)).\nAnswer: -444996*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.718 + 1.302. Let s = j + -0.02. Let t = s - 24. What is the fourth biggest value in -4, 2\/19, -1, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (2*sqrt(700))**2) + -4*sqrt(14)\/sqrt(2).\nAnswer: -2800 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7883 + -15269. Which is bigger: t or -23153?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 44412?\nAnswer: 44403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 335216 and 435092?\nAnswer: 127046864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -903*n + 38504 = 4257 - 16321 for n.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.7. Let n = -229.6 - 0.4. Let y = n + 228. What is the third smallest value in 3, y, 4, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 475983423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-9))\/z)\/z)\/z**(1\/25)*z**(1\/5)\/((z*z\/z**(-2\/21))\/z) assuming z is positive.\nAnswer: z**(3709\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -36 + 19 - -11 - -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6425, -6660, -6895, -7130?\n\"Answer: -235*j - 6190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1)**(-10\/9)\/(x**0*x*x**4))\/(x**3*x**(1\/11))**(-6\/11) assuming x is positive.\nAnswer: x**(-4819\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66 - (-2 + 1)) + 7 + -6 + -7?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42545*4.\nAnswer: -170180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 1. Let t(c) = -9*c**2 - 10*c - 2. Let k(r) = -q(r) - t(r). Let w be k(-8). List the prime factors of (-6 - -7) + (1 - w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 573 and 68951?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3108498142636 + 0.22.\nAnswer: 0.5308498142636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288*d + 6882 = -55*d + 121*d for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 48*a**2 - 3*a + 149. Let g be s(48). Let d(v) = 18*v**2 - 5*v - 5. Let p(t) = -19*t**2 + 6*t + 6. Give g*p(n) + 6*d(n).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -2. Suppose -5*n - 3*x = -p, 4*x - 12 + 0 = -5*n. Suppose -u = -0*u + 3, n = -2*m + 4*u + 16. Solve -4*q + h = 0, m*q = 3*q + h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180586171 divided by 2175737.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*o**3 - 6*c**3*o - 9*c**3 + 4*c*o**3 wrt o.\nAnswer: 12*c**3*o + 24*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.9. Let k = 75 - 75.3. Which is the nearest to 0.1? (a) x (b) -0.05 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -p + 9, -2*y - 22 = -0*p - p. Let z(i) = 2*i + 28. Let t be z(y). Solve -9*s + 16 + 17*s**2 + 9*s**2 - 30*s**t - 3*s = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -21 + 2*b**3 - 34*b - b**3 - 2164*b**2 + 2148*b**2. Let p be z(18). Solve p = 4*t + t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 39*x + 21. Let p be z(8). Suppose d + p = -8*d. Let j = d - -50. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**2*z**2 - 34*x**2*z + 5*x**2 - 38*z**3 wrt z?\nAnswer: 6*x**2 - 228*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 309, 1226, 2735, 4824, 7481, 10694, 14451?\n\"Answer: -2*x**3 + 308*x**2 + 7*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006708 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -19*j**5\/15 + 8*j**3 + 68*j**2. Differentiate q(p) with respect to p.\nAnswer: -152*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 24*a**2 - a + 4. Determine x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1152, 4560, 10220, 18132, 28296, 40712, 55380?\nAnswer: 72300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/976? (a) 5 (b) -5 (c) -1.6 (d) 0.4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9274 - 64503\/7. Let n = l + -388\/7. Find the common denominator of n and 109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132523783 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 2, a: 5, i: 3}. Give prob of picking 1 i and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 17*g**2 + 13*g - 87. Let n = 201 + -219. Let v be a(n). Solve -4*y + 6 + 10 = o, -2*o - 12 = -v*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 6*q = 255. Let l(p) = -5*p**2 + 4*p + 2. Let o(h) = 14*h**2 - 11*h - 6. Calculate q*l(u) + 6*o(u).\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3243 - 2853 = c. Let x(t) = -11*t + 1. What is the remainder when c is divided by x(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2401 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 81*u + 92. Let g = -102 + 107. Let i(w) = 40*w + 46. Let p(d) = g*i(d) - 3*h(d). Find the first derivative of p(f) wrt f.\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*a**2 + 226*a - 93*a**2 + 34*a.\nAnswer: 7*a**2 + 260*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:42 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnxlllxlx. What is prob of picking 1 x and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -540661 divided by -3?\nAnswer: 540661\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26671\/8 - 3331. Let u = -81660329\/10 + 8157384. Let a = u - -8656. What is the common denominator of a and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(27*s - 15*s**2 - 27*s - 3*s**2 - 2*s**2 + 3*s**2 + (s**2 - 4*s**2 + 2*s**2)*(-1 - 5 + 5)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 l when four letters picked without replacement from {x: 3, o: 1, k: 1, t: 2, j: 1, l: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 6. Let w be g(-3). Let i = w + -15. Put i, 5, 2 in increasing order.\nAnswer: 2, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3965582 and 1837?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + (sqrt(13) - sqrt(325)) - sqrt(52)\/((sqrt(100) - sqrt(100)*-2) + sqrt(4)).\nAnswer: -65*sqrt(13)\/16 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2160 and 127\/950.\nAnswer: 205200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 + 151. Let d = 13339\/16 - 834. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5765, -11488, -17209, -22928, -28645, -34360, -40073?\n\"Answer: f**2 - 5726*f - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 32*t + 67. What is s(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -8654*i. Let z(d) = 2*d**2. Determine z(n(f)).\nAnswer: 149783432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 + 0*o**2)*(39*o**2 - 21*o**2 + 11*o - 21*o**2).\nAnswer: -6*o**4 + 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 42*c**2 + 2*c**4 - 41*c**2 + 102*c**2 in the form a*c + h*c**2 + x*c**4 + f*c**3 + m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 2*s - 6. Let u(f) = -4*f + 2*f**2 + 7*f - 5*f - 7 - f. Let b(i) = 3*q(i) - 2*u(i). Differentiate b(d) wrt d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + i**2 - i + 1. Let j = -7 - -11. Suppose -5*y - l = -147, 143 = 5*y + 2*l - 3*l. Suppose -4*u + 20 = 0, j*x + 0*u - y = -5*u. Give v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 11543.\nAnswer: -2\/11543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24320 - -2655.\nAnswer: -21665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 56?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -11.79.\nAnswer: -1.179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123, 117, 109, 99, 87, 73?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-268)\/(-16) - (-21)\/(-28). Suppose 947 + 2173 = o*m. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 75.99987ml?\nAnswer: 0.07599987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 7*a - 4. Let k be y(6). Suppose 2*g - 8 = -k*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -19. Let a = 215 - 82. Let s = a + -136. What is the nearest to 0.4 in z, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52824 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*o**2 - 36*o**2 - o**2)*((4 - 2 - 3)*(-1 - 5 + 4) - 2 + 5 - 2) to the form r*o + g*o**2 + v and give g.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42140141 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 9:41 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111376088, -111376083, -111376074, -111376061, -111376044?\n\"Answer: 2*h**2 - h - 111376089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 1\/39 (c) -4 (d) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(320)*4)**2 + (-2 + sqrt(405) - (sqrt(80) + (sqrt(80) + 1 - sqrt(80)))).\nAnswer: 5*sqrt(5) + 5117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.061493 months to millennia.\nAnswer: 0.00083845775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -362, -965, -1848?\nAnswer: -3011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5*k + 11. Let l(b) = 3*b + 7. Let z(p) = 8*l(p) - 5*q(p). Let i be z(0). Is i bigger than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 11*o + 17. Let u be k(9). Let p = 71\/7 + -795\/77. Is p < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/140 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -19*q**2. Let z(y) = 570*y**2 - 180*y**2 - 203*y**2 + 35*y**2. Give t(z(o)).\nAnswer: -936396*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (226\/(-791))\/((-531)\/(-266) - (4 - 2)). Solve -24*q + 4 = t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*z**3 + 101278*z + 405*z**3 - 101278*z.\nAnswer: 1528*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1924 and 49323664?\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 2*n**2 - 58*n - 11. Let a be d(-8). What is the highest common divisor of 735 and a?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-18)\/(-7) + -2. Let g = 24\/7 - z. Let c = -1.8 - -1.5. What is the nearest to c in -0.2, -3, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2 (b) -3 (c) 0.011\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7439031 and -115521.86.\nAnswer: -7554552.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 369, 189, -113, -537, -1083, -1751, -2541?\n\"Answer: -61*s**2 + 3*s + 427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k, 5*w - 3*k - 3 = -2*k. Solve w = 5*y - i - 3, 2 + 3 = 3*y + i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.544 - 634.456. Let j = 155 + s. Let r = j + 480.00000209. What is r rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1213, 1216, 1219, 1222?\nAnswer: 1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 - 4*c**2 + 2*c + 2. Let y be b(2). Let j be (-1)\/2*-1*y. Solve -5*i + 0*i - 20 = j*u, 2*u = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22724 + -439. What is the ten thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by -1.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/77 + (-16)\/(-330).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 3*u + 7. Let x(j) = j + 2 - 4*j - j**3 + 2*j - j**2. Let s be x(0). Suppose -3*l - 2*i = 23, s*l + i + 23 = 9. Calculate k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 33431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 506\/(-33)*6\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 113 = 5*r, 22*r - 19*r - 84 = -3*d. Calculate the highest common divisor of r and 5275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 39, 47, 55?\n\"Answer: 8*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*a = -39*a + 936 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62038638.\nAnswer: 2, 3, 1511, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/4 + 6 + -9. Let h(o) = 4*o - 17 - 12 - 2 - f*o. Let l be h(6). Is -26 equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97330935241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2224, -4446, -6668, -8890, -11112?\n\"Answer: -2222*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31267461 or 1?\nAnswer: 31267461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Let q(g) = -g**3. Let w = 13 + -15. Let f(m) = -m**3 - 4*m**2 - 1. Let r(d) = w*q(d) + f(d). Determine r(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1455*x + 18. Let c(n) = 2*n. Determine c(d(m)).\nAnswer: 2910*m + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*(sqrt(2200) + sqrt(2200)*1) + sqrt(2200) - 2*(sqrt(2200) - sqrt(2200)*1 - sqrt(2200)))\/((sqrt(44)\/sqrt(2)*4)\/(sqrt(10)\/(2*sqrt(5)))))**2.\nAnswer: 3033\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.875 to 1 decimal place.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 49*s + 21*s - 7 + 0. Let f be b(-5). Is (-6)\/9 - f\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3. Let m be (-2)\/h + (-60)\/(-3). Suppose 2*d + d = m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + l**2 - 4*l - 15. What is v(3)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10350 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-13 - -23) - ((-2 - 7) + 8).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + 2 - 155*l**2 - 15*l**2 - 5*l + 7*l in the form m + k*l + s*l**2 and give s.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-60)\/(-36)*(-1)\/5. Which is the second biggest value? (a) -3\/5 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5543 + -3443?\nAnswer: -10086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 2. Let w = -161 + 88. Let v = w + 82. What is the fourth smallest value in v, 1, -1, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least 56058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 4 = 4*k, -255*o + 5*k - 10 = -250*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3405)\/(-76272))\/((-75)\/20)?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 + -1247.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/31? (a) 4 (b) 0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1.84, 72, -10 in ascending order.\nAnswer: -10, -2, 1.84, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmomddom. What is prob of picking 1 d and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(20\/8)\/(-1). Let z be (-30)\/(-12)*6\/d. Solve 2 + z = -3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57451 - 57185 = -2495*d + 1563*d for d.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 87*g**2 + 85907*g - 85907*g - 85*g**2. Let a(f) = f**2 + 4*f. Give a(c(p)).\nAnswer: 4*p**4 + 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -4, -296.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/94*((-8)\/(-2))\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1967*v + 2046*v = 1870404. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0389712 rounded to 4 dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*k + 6. Let w = 6 + k. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 * 0.1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 2.388.\nAnswer: 21.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.08, -2943, -31.8?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 12. Let y(f) = f**3 + 4*f**2 + 2*f + 3. Let w be y(l). Let b = 10 - w. Solve 2*m - 8 = 0, 2*m - 3 = b*r - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 14*q**2 + 2*q + 30. Let w be m(-14). Put -1, 0, w, -2 in descending order.\nAnswer: w, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 + -62?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*f + 5*a, 4*f + 2*a + 9 = -1. Let j(d) = -182*d**3 - d**2 - d. Let n be j(f). Let x = n + -90. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142328 is divided by 20325.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -186955 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-2) + (-29029)\/(-26) + -13.\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(-20*5\/(-30))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhereffheefe. What is prob of sequence hhfe?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -37. Suppose 5*w = -y*w - 20. Calculate the common denominator of (-339)\/30 + (-1)\/w and 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76357 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 13. Suppose u*r - 8 = r. Solve 7*w = r*w + 2*n + 19, -2*n = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/38417 - -146560639\/922008. Let j = q + -159. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teze. Give prob of picking 1 t and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 479980 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -201, -396, -591, -786, -981, -1176?\n\"Answer: -195*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2269033 to 4 dps.\nAnswer: -10.2269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 12. Let u(k) = -k + 11. Let c(b) = -4*o(b) + 5*u(b). Let s be c(6). Suppose s = -j + p + 8, 2*j + 4*p + 16 = 0. Which is bigger: 2\/3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 10. Let z be m(-7). Sort 5, -5, 0, z in descending order.\nAnswer: 5, z, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**3 - 42238*i**2 - 211140*i = 0.\nAnswer: -21114, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:44 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + ((-312)\/(-10))\/(-6). Which is the nearest to 0? (a) d (b) 0.1 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 8*l. Suppose 4*c - 7 = 2*g + 7, -19 = -4*c - 3*g. Let n = c + -3. Let y(k) = -k + 2*k**2 - k**2 + 0*k**2 - 2*k**2. What is n*w(x) + 6*y(x)?\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.27? (a) 0.4 (b) 2 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 4*o + 129. Calculate l(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -26. Let u = 5 + y. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 9:33 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Suppose -s - 2 = -7. Let f = 17 + -12. Let a(p) = p - f + s. Give a(o(b)).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o**2. Suppose -7*w + 54 = 20*w. Let j(m) = 16*m**2 + 16*m**2 - 55*m**2 + 18*m**w. Give z(j(q)).\nAnswer: -500*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and -35\/124.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27542071?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -23*y + 2. Let j be h(-3). Suppose n - 3*n = -5*o + j, o - 5*n - 5 = 0. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 12:53 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*y + 61, 2*y = -2*j + 8 + 22. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 z when three letters picked without replacement from auzjassszzsaaal.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c3384 - e?\nAnswer: c3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkdwwwwwdwwdwwdwdw. Give prob of sequence wdkd.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 134577583.47264+0.06\nAnswer: 134577583.53264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1396757.14 to the nearest one thousand.\nAnswer: 1397000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3 = 22, -4*o = 3*g - 73. Let s be ((-10)\/(-6) + -3)*-3. Let n = 4 + s. What is the remainder when g is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/317 or -0.29288?\nAnswer: 22\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-21))\/((-1)\/6). Suppose s - 4*s = 5*k - 47, 5*s - j*k - 29 = 0. Is (-9)\/(s\/2) - -451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:23 AM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/13 (b) -4 (c) 0.2 (d) -1859 (e) -6 (f) -3\/8 (g) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 764743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 17*v + 3822 = 0. Suppose -5*b - v = -4*u, -u + 53 = -3*b - 276. Which is bigger: -113 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/210 - a**5\/140 + a**4\/21 + 2*a**3\/21 - 19*a. Factor i(s).\nAnswer: -s*(s - 2)*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.949 - 0.051. Let y = 4 + -6. What is the smallest value in h, y, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1619*s - 459*s + 1844*s + 1027*s to i*s + u and give i.\nAnswer: 4031","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919\/404 + (2 - 6) + 2508\/608?\nAnswer: 39\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 - i - 2. Let h be n(-4). Suppose 0 = 8*o - 11*o. Suppose o = -h*a + 13 - 1. Solve -a = b + b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 37*z + 37*z + 6*z**2 to f*z + g*z**2 + o and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1199032 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-3 + -6)) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.7. Let c = 3.09 + -0.09. What is the second biggest value in c, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14358 is divided by 7169?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1953 + -1809. What is the highest common divisor of 312 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**2\/o*o))\/(o*o**(-1)*o))\/(o*o**(2\/7))**(-24) assuming o is positive.\nAnswer: o**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318460?\nAnswer: 2, 5, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/18)\/((-3)\/(-9)). Let v be s\/(5 + -2 + -4). Sort -6, v, -1, -5 in decreasing order.\nAnswer: v, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/109)*a)\/(a\/(a\/((a\/(a*a\/(a*a*a**30*a*a)*a*a)*a)\/a))*a)*a**(-10\/11)*a\/(a\/((a*((a*(a\/((a**(2\/3)\/a)\/a))\/a)\/a)\/a)\/a*a))*a assuming a is positive.\nAnswer: a**(-106318\/3597)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 3 - 3 + (-4*y + y + y)*(2 - 3 + 0) + 2 - 2 + 2*y + 3*y - y - 4*y - 1 + 1 - 2*y + 2*y - 3*y + 3*y + (-1 + 1 - 2)*(-4*y + 7*y - y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.142 * 418398.\nAnswer: 59412.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**3 - 19*k**2 - 7*k + 4. Let b(m) = -2*m**3 + 13*m**2 + 5*m - 3. Let l(c) = -7*b(c) - 5*z(c). Let s = 2424 - 2420. What is l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4046\/4913 + (-37200)\/(-408)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*r + (-r + 4*r - 2*r)*(-5 + 4 - 1) - 6*r + 3*r + r + 0*r + r - 2*r - 2*r - 3*r + 2*r)*(4*r**3 - r**2 + r**2).\nAnswer: -16*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 486.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 723 + -773. What is w rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgoggwooggw. What is prob of sequence gowg?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**2 + a + 0 - 1\/6*a**3. Let n be t(3). What is the biggest value in n, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 159*t + 27. List the prime factors of v(4).\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, l: 5, n: 4}. Give prob of sequence vnl.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14902, -14903, -14902, -14899, -14894?\n\"Answer: o**2 - 4*o - 14899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/3 - 1\/(-3). Suppose w = -4*h + 191 + 9. What is h rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 616 - 242 = 0. Suppose 0 = 2*p + 4*r - 874, r + 3*r + q = 2*p. Let t = p - 5649\/13. Which is greater: -3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2. Let z(c) = 3*c - 29. Give p(z(i)).\nAnswer: -36*i**2 + 696*i - 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001746367 rounded to seven decimal places?\nAnswer: 0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x - 21 = 15, -72 = -4*w - 5*x. Let a(d) = 7 + 11 + 6 - 10 + w*d. Let h(b) = -b - 1. Let t(u) = 3*a(u) + 42*h(u). Let g(c) = -2*c. Give g(t(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*(4 + (2 - 3)). Suppose -4*u + 8*u - z*v = 4, -v - 2 = u. Solve -13*n + 6*n + 35 = u for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - -5*(1 + sqrt(448))) + sqrt(448) - ((-1*sqrt(448) - sqrt(448)) + 3))**2 + (sqrt(21)\/(sqrt(3) - sqrt(75)*1))**2*-2.\nAnswer: 288*sqrt(7) + 290329\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/21)*k\/k**2*k\/k**0*k*k**(-7\/2)\/k assuming k is positive.\nAnswer: k**(-143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 2*p - 18754*p**2 + 18758*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 s when four letters picked without replacement from {w: 1, s: 6, n: 3, l: 3}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.03638 - -17175280929\nAnswer: 17175280928.96362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 13\/2*g**2 + 0*g + 2. Let c(b) = 2*b**2. Determine w(c(k)).\nAnswer: 26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -8*i**2 - 2*i. What is o(-2)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 11:37 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 7)*(-20)\/6. Let b be -3 + 4 - (0 + j). Let f = 2 + 1. Solve -2*d - b = f*d + 3*s, 5*d + 13 = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.269 in 0, 4, -2\/7, -414?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -969 = -5*t - 19. Suppose -2*v = -u + 78, 0*u - 3*u = 5*v - t. What is the highest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77416 to the nearest one thousand.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m**2 + m**3 + 2*m - 10 - 5 + 14 + (-1 - m**2 + 1)*(-21 + 21 + 3*m).\nAnswer: -2*m**3 - 10*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -101188?\nAnswer: -101186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5698)\/5 - (-4)\/(-10). Let o be 2 + 2 + y\/(-8). Let v = o - 175. Find the common denominator of 99\/8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, j: 1, n: 12}. What is prob of sequence jnnn?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {a: 1, t: 11}.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = f + 2*u, -3*f - 4*u - 13 - 2 = 0. Calculate the least common multiple of 114 and 6\/(-15) - (f + (-111)\/15).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2143419 + -22310848338\/10409. Find the common denominator of h and 61\/4.\nAnswer: 41636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*m - l, 3*m - 3*l = 3 - 9. Suppose 0*n - 46 = -m*n. Let f = -5153 + 5158. Solve -g = -5*k, 0*g - f*g + 2*k = -n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6))\/((-14)\/(-24))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3235 * -0.1.\nAnswer: -323.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35\/3 - -12. Let w(p) = -p**2 - 6*p - 2. Let c be w(-6). Is c equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606589796 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -99*v**2 + 51. Let r(g) = -248*g**2 + 128. Let b(q) = 5*r(q) - 12*w(q). What is the first derivative of b(h) wrt h?\nAnswer: -104*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4465577 is divided by 1116393.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k + 6*k + 263 - 188. Factor -1\/7*g**3 - 3\/7*g**4 + 11\/7*g**2 + 1\/7*g**k + 4\/7 - 12\/7*g.\nAnswer: (g - 2)*(g - 1)**3*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 1 + -1 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -75776, -75776, -75778, -75782, -75788?\n\"Answer: -a**2 + 3*a - 75778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*m - 5*m - 581 = 0, 3*m = -3*f + 1671. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -7*s**3 + 0 - 10*s**2 + 0*s - 15\/8*s**4. Is 22 a factor of t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-144)*3)\/((-18)\/12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2391 and -307846.\nAnswer: -310237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 5. Let b(i) = -i**2 - 9*i - 4. Let t be b(-8). Let y(g) = 14 - 17*g + 1 - 1. Calculate t*y(n) - 11*c(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.47 take away 272?\nAnswer: -282.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 5*z - 18. Let y(p) = 15*p**2 - 70*p + 255. Let v(d) = -85*t(d) - 6*y(d). Let x(l) = l. What is v(x(i))?\nAnswer: -5*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:52 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 7*h + 3. What is q(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.031099872 + -0.0311. What is z rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = k - 579, 2*k = 4*k + 5*t - 1203. Let x = 151 + k. What are the prime factors of x?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + y + 9, a + 5*y + 17 = 0. What is the remainder when 7 is divided by (a\/6)\/(1\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -0.2051?\nAnswer: -0.1949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-4) + 1)\/((-4)\/(-8)). Solve -3*t + 8 = -w*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43491.\nAnswer: 3, 7, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11421 divided by 9\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*w + w. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3437241 - -4.\nAnswer: -3437237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1653.4719 months to millennia.\nAnswer: 0.137789325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480416.\nAnswer: 2, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-5))*a*a*a\/(a\/(a*a**(4\/7))))\/(a**(-1\/5)*a**2) assuming a is positive.\nAnswer: a**(-113\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55014814 and 1174?\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1446414801.\nAnswer: 3, 13, 47, 789097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4*s = -q + 8, 4*q - 47 = s. Let z = -9 + q. What is the second derivative of 3*x**3 + 3*x**4 - 3*x + 0*x**4 - 3*x**z wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 310 = -18*x. Suppose -4*l + x + 44 = 2*p, p = 2*l - 47. What is the second derivative of -8*t - 10*t**3 - l*t**3 + 9*t**3 wrt t?\nAnswer: -156*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + q**3 - 2*q**5 + (-2*q**3 + 2*q**3 + q**4)*(4 - 4 + 7*q).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 23*b - 20. Let x(a) = a**2 + 8*a - 7. Let u(y) = -6*l(y) + 17*x(y). Let j be 2\/(-1 - 1)*3. Let k be 1*j + 1\/1. Determine u(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/333 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 3*x + 6 = 0. Suppose 0 = -1186*t + 2644 + 914. Solve -11 = x*v - t*o, 5*v = o - 5*o + 30 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -204100 rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -20391*d + 203913. Calculate z(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**5\/30 - 41*t**4\/24 - 2249*t**3\/6 + 2*t**2 - 2429*t. What is the first derivative of z(u) wrt u?\nAnswer: -4*u - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*m - 187*m + 91*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*sqrt(300)*4 - (sqrt(300) + -2*sqrt(300)*2 - (sqrt(300) - (3 + sqrt(300)*-1) - sqrt(300))).\nAnswer: -600*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x**(-9)*x)**(2\/137) assuming x is positive.\nAnswer: x**(-41\/411)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.045.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -28. Let t(s) = 3*s**3 - 5*s**2 + 7*s + 2. Does 6 divide t(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30648283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**2 + 2*i - 3. What is k(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -534, -4385, -14846, -35223, -68822, -118949?\nAnswer: -188910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2878367040.\nAnswer: 2, 3, 5, 999433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36180 = -2916*i - 99*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0*a**4 + 0*a**3 + 0*a + 0 + 2*a**2 + 1\/120*a**6 + 1\/12*a**5. What is the third derivative of x(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 871, 1789, 2807, 3973, 5335, 6941?\nAnswer: 8839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628543045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 26 + 0 + 0*c + c.\nAnswer: c + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108596664 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7472000 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/5 in -0.4, 2\/357, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 53090 and 148652.\nAnswer: 743260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.059, 4, 3, -47, 1\/3?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28967389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lvvllvlllvllvlllvl?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 99 (b) 0 (c) -0.7 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.5 (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 22*b + 4*t + 560 = 0, -t - 13 + 98 = -4*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 + 4 = 0. Let m(o) = o + s + 3*o - 5*o. Let y be m(6). Sort y, 4, -1 in decreasing order.\nAnswer: 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.62406099 less than 22?\nAnswer: 22.62406099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 divided by 8034?\nAnswer: 2\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/51 and -77\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 7*u**2. Let z(k) = k + 1. Let a(g) = 10 - 3*g - 2*g + 10*g. Let x(q) = -a(q) + 10*z(q). Calculate c(x(w)).\nAnswer: 175*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -5, 2\/7867?\nAnswer: 2\/7867","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 16, 47, 112, 223, 392, 631, 952?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35215 is divided by 8228.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 1104.\nAnswer: 7728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 21*y**5\/10 + 21*y**2 + 26*y. Differentiate t(d) wrt d.\nAnswer: 126*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 917932759*c + 917932760*c - 1835865518*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124*r**2 + 62*r**2 + 60*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from {n: 1, h: 5, y: 5, i: 1}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -125. Let f(c) = 42*c**2 - 11 + 5*c + 5 - c**a. What is the units digit of f(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*s**3 + 4823*s**2 + 2*s + 1054457 with respect to s.\nAnswer: 9*s**2 + 9646*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7454589 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30430, -61423, -93004, -125173, -157930, -191275?\nAnswer: -225208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:49 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75.002232 - 75. Round q to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 150\/21*(-5432)\/(-970)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 116*h + 11. Let c(u) = 117*u + 13. Give -6*b(j) + 5*c(j).\nAnswer: -111*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5 - t**3 + 3*t - 2 - 4*t - 4. Let u(v) = -3*v**3 - 2*v - 2. Determine -6*i(o) + 3*u(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 44*j + 5. Let u(k) = k + 2. Calculate 5*u(l) + y(l).\nAnswer: 49*l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1310459 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 4*m**2 + 5. Let q be p(4). Let c = 9 - q. Let v be (5 - 3) + c\/2. Solve 12 = 2*l - v*j, 0*l = -3*l - 3*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12528 and 37479252?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -5, 1, -0.1, 0.043?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -174*i**4\/5 + 592*i**3\/5 - 214*i**2\/5 + 12*i\/5 = 0.\nAnswer: 0, 2\/29, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**3*k*v + 227524122*a**3*v**2 + 5*a**2*k*v + 116*a**2*k - 201*a**2*v**2 - 18*v**2 wrt a?\nAnswer: 12*k*v + 1365144732*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -1.3, 2\/5, -186\/3857?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 35\/((-3150)\/(-432)) + 2\/10. Solve -22 + 12 = -t*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17 - 2*u + 28 - 45. Let i(l) be the second derivative of -17*l**6\/720 + 5*l**4\/12 + 6*l. Let m(h) be the third derivative of i(h). Determine m(n(g)).\nAnswer: 34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:09 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 - 2*k - 4. Suppose -2*o = 8 - 4. Let p(s) = s**3 + 4*s**2 + 3*s + 5. Determine o*p(q) - 3*v(q).\nAnswer: q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**4\/4 + g**3 + g**2\/2 + 3*g - 56. Calculate i(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389926753 to the nearest integer?\nAnswer: 19747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -42. Solve -z*k = 5*l, -4*k = -7*l + 3*l - 36 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/4*3\/(-18)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1531475970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(30)\/sqrt(20))*-6.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) - (1 + 72\/(-32))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 4 = -10*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8650141 months in years?\nAnswer: 0.238751175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - v + 11, -2*z - 3*v - 16 = -6*z. Suppose z*d + 92 = 30*d. Solve -3*i = d*i - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*z + z**3 - 3*z**3 - 335899035*z**2 + 335897876*z**2 + 7870 wrt z.\nAnswer: -6*z**2 - 2318*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108046 and 801?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-78) - -1*(6 - 280\/48). Let o be -1*(1 - (-4)\/(-2)). Let z = 0.06 - 3.06. What is the nearest to z in o, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + (-79 - -13) - (4 + -4 + -9)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2373367*b. Let r(k) = -2*k**2. Determine r(v(t)).\nAnswer: -11265741833378*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018575 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 65939 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.03 + 3.03. Let n be 1055096\/3405 - (-2 - (-56)\/30). Let m = n + -309. Sort -3, m, w, -6 in descending order.\nAnswer: w, m, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + n - 18. Let h be q(4). Are h and 21\/38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*o - 640 = 110*o. Suppose -f - 2*f + 5*l = -70, l = 5*f - o. Put f, 5, -4 in descending order.\nAnswer: f, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + s**2 - s + 1. Let h(y) = -2*y**3 + 3*y**2 - 4*y + 1. Let z(l) = 5*l - 341. Let o be z(68). Determine o*h(r) + 4*w(r).\nAnswer: -2*r**3 + r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 191073, 764345, 1719823, 3057513, 4777421, 6879553?\nAnswer: 9363915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 26 = 2*a, 0*b + 4*b + 52 = -a. Let o = b + 18. Suppose -55 = -5*l + 3*p, 0*l + 2*p - 55 = -o*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -322 + 322. What is the smallest value in 2\/3, 1\/6, o, 7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7 = -t, -3*a + 6 = -18*t + 21*t. Sort -3, 5, a in increasing order.\nAnswer: -3, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 12*g**2. Let r = 38 - -9. Let w be ((-14)\/(224\/72) - 8\/(-2))*-94. Let h(n) = -2*n + w - r. What is h(u(i))?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 319 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)\/f**(-2)*(f**(1\/4))**(-12))**18 assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 5:35 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 + 2*t - 2. Let s be a(1). Suppose -h - 4*n = -0*h - 121, -212 = -s*h + 2*n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*c. Suppose 0 = 2*t - c*t. Find the first derivative of -p**2 - 4*p**2 + 2*p**2 + t*p**2 + 9 wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1076*s - 1105*s + 135662 = 0. What is the hundreds digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 391*a - 8981. Give k(23).\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2 = -34. Let q = f + -6. Find the first derivative of 2*v**q - 1 + 0 + 0*v**3 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*v - 18, -v - 10 = -0*v - 3*c. Suppose -2*h = v*h - 148. Let z = -12 + h. What is the remainder when z is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88*y**2 - 28*y**2 + 3*y - 2*y - 5*y + 7*y in the form k*y**2 + l*y + f and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3648, -38, -44, 2 in decreasing order.\nAnswer: 2, -38, -44, -3648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 3. Let i = 5 + y. Let r = i - 13. Which is the biggest value? (a) -2 (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 8*m - 7. Let d be j(-6). Suppose -1 = 2*w - d. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 l, and 1 k when four letters picked without replacement from {e: 3, b: 1, d: 1, k: 1, j: 4, l: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 1 + 0*b**2 + 1 - b**3. Let d be k(-1). Sort -0.01, 4, d in decreasing order.\nAnswer: 4, d, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d + 5*f - 54 = 0, -5*d - 12383 = 5*f - 12353 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -2 - 1) + 23. Let y(q) = -q**2 - 16*q + 7. Let r be y(-16). Suppose -r*s + 38 = -130. Calculate the greatest common factor of s and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 48.93.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:23 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 1564.\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f. Let a(t) = -3*t**2 + 4*t - 1. Let y = 1031 + -1035. What is y*g(w) - a(w)?\nAnswer: 3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -182, -173, -140, -71, 46, 223?\n\"Answer: 2*y**3 - 5*y - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 532611973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvivvvvsvsviii. Give prob of picking 2 i.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l**3 - 5*l**2 - 5*l - 5. Let k(f) = 9*f**3 + 6*f**2 + 6*f + 6. Calculate -5*k(u) - 6*p(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**3 + 287319*u**2 + 6879206985*u - 6879494307 = 0.\nAnswer: -47887, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 1. Let v(b) = 22*b**2 + 19*b + 7. Let n be 0 - -19 - (5 + -1). Let g(u) = n*m(u) + 3*v(u). Factor g(k).\nAnswer: 3*(k + 1)*(17*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 3. Let f be x(-14). Let v = f - 32. Let d(i) = 2*i**2 - 20*i + 22. What are the prime factors of d(v)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2153, 63, -2027, -4117, -6207?\nAnswer: -8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 24*j**3 + 6 + 2*j**2 + 12 + 7*j + 7*j**3 + 10 to b*j**2 + v*j**3 + r*j + h and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*x**2 + 49*x**2 - 12*x**2 + 74*x**2.\nAnswer: 292*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 197.5 and -12?\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9076*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 143295 to the power of 1\/2, to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -40?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 71*k + 98 = -20 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 1326248*o + 1326248*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 8:25 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55968*m - 55970*m = -4*u + 8, -4*u = -3*m - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 65.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -1, 34132?\nAnswer: 34132","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4641*o - 890916. Determine k(192).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-10*(1376\/(-320))\/(-43))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026882939 rounded to five dps?\nAnswer: 0.00269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 1 = -3*c, -2*k - c - 1 + 5 = 0. Let q(m) = -m**3 + 27*m**2 + 2. Let v be q(27). Sort v, k, -8 in increasing order.\nAnswer: -8, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -93*x + 12917. Calculate c(139).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - m + 9, -f + 4*m - 9 - 4 = 11 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/(v\/(v\/((v**(-6)*v)\/v))))\/v)\/v**(-3))\/(v**0\/v)**(-3\/2) assuming v is positive.\nAnswer: v**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -478, -924, -1406, -1924, -2478, -3068, -3694?\n\"Answer: -18*i**2 - 392*i - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 275*o + o**2 - 21.\nAnswer: o**2 - 275*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - -4*sqrt(576))\/(5*sqrt(48)\/sqrt(4)) - (0 + 4 + sqrt(12) + sqrt(3) + -5).\nAnswer: 2*sqrt(3)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 6*a + 2. Let k be w(7). Let r = k + 8. Differentiate r*z + 2*z - 6*z - 1 with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221211 + -210?\nAnswer: 221001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100111001101001 (base 2) in base 5?\nAnswer: -1120243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 6*k + 1. Determine d(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 + 7*v - 7. Let u = 0 - -5. Let s be c(u). Let d = 141 - 132. Calculate the highest common divisor of s and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -60, -99, -138?\n\"Answer: -39*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 10, f: 7}. What is prob of picking 4 y?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(1*sqrt(2)))\/(-3*sqrt(9)\/sqrt(3)) + 3 + -2*sqrt(931) + sqrt(931) + sqrt(931) + -2 + 4.\nAnswer: -sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9)*v*v**(-2)*(v\/(v\/v**(-3\/2))*v)\/(v*v**(-8)*v*v))\/(v**(-5\/4)\/v*v*v*v**(-2\/3)\/v*(v\/(v*v*v**(-2)))**5) assuming v is positive.\nAnswer: v**(31\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 463 + 7.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(136)\/sqrt(4))\/sqrt(2) + (2*(sqrt(68)\/sqrt(4) - sqrt(17)))**2 + 2.\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20, 37, 54, 71, 88?\n\"Answer: 17*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*c + 2*k, 2*c + k + 0 = 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m - 139 = 3*w, 5*w + 3*m = -255. Let r = w - -52. What is the units digit of (r\/5)\/(2\/195)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -238, -240, -242, -244, -246?\n\"Answer: -2*f - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12566532 and -1.\nAnswer: 12566532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 578 - 823. Let t = 250 + r. Sort 3, t, -3\/5 in descending order.\nAnswer: t, 3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 + 103 = 2*q. List the prime factors of q.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2. Suppose -2*t + 0 = -4. Let q(d) = 9*d + d**t - 9*d. Calculate q(h(b)).\nAnswer: 25*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (3 + 2))*2\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*u - 3*o + 8, -o - 4 = 0. Suppose -3*x = -u*x - 207. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/7)\/i)**(-3)\/(i\/i**(-2\/5)*i\/(i\/i**(1\/5))) assuming i is positive.\nAnswer: i**(19\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/50 and -54\/4325?\nAnswer: 8650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777 is divided by (-4*(-2)\/8)\/((-24)\/(-3048))?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10708 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 6*m + 3495 + 4*m - 3503 as i*m**2 + d*m + y*m**3 + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380.\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)\/(-7 - -25). Let j be 22\/33*(-15)\/50. Which is the closest to m? (a) j (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/(-18))\/(8\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, s: 3, t: 2, l: 5}. What is prob of picking 2 l, 1 b, and 1 s?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2735 or -2732?\nAnswer: -2732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 262933758 to the power of 1\/2, to the nearest integer?\nAnswer: 16215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a = 422 - 550. Sort -113, 0, a, -1 in increasing order.\nAnswer: -113, a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 885.2048 days to microseconds.\nAnswer: 76481694720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -3)*0*1\/(-4). Let m = 4 + g. Suppose a - 4*j - 4 = -m*a, -12 = -5*a + 2*j. Solve a*y = 2*f + 12, -5 - 6 = f - 3*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4204*m**3 - 3153*m**2 + 12612*m + 3153. Let u(v) = v**3 + v**2 - 4*v - 1. Determine -l(f) - 3153*u(f).\nAnswer: 1051*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96545 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j*o**2 + 74*j*o + 6*j*x**2 - 35802573*o**3*x**2 - 61035*o**3 + 3*x wrt x.\nAnswer: 12*j - 71605146*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 89331.1 to the nearest one thousand.\nAnswer: 89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**2 + 0*i + 0*i)*(-7*i**2 + 3*i**2 + 2*i**2) + 0*i**4 - i**4 - 2*i**4)*(7*i - 4*i - 4*i).\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 330*o**2 + 170*o. Determine m(1).\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 14 - w - w - 12. Let k(x) = 2*x**3 - x**2 - 2*x - 1. Let j be k(-1). Let d be (j\/(-5))\/((-3)\/(-15)). Give s(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 + 2 - 2 + (4*g**3 - 3*g**3 - 3*g**3)*(1 - 1 + 5)*(2 - 1 - 11) to the form y + r*g**2 + f*g**3 + d*g and give f.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -2596, 0.2 in increasing order.\nAnswer: -2596, -8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 614.9999481 - 615. Round i to 6 decimal places.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -76*q**2 - 88*q + 32. Let k(w) = -7*w**2 - 8*w + 3. Let z(t) = 32*k(t) - 3*o(t). Factor z(g).\nAnswer: 4*g*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10624 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - j**2 - 4*j**2 + 5*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from itidvxv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c**2 + 4*c**2 - 30*c**2 + 16*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jjjoo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 916 = 99*r - 3*r - 428 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213320200 - -203132?\nAnswer: 220123332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 2488.\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 14 + n**2 + 2*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 935 = 932. Which is the nearest to 22\/7? (a) -2\/3 (b) 3\/7 (c) 0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 587559 and 89229?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*a**2 - 573*a - 1110.\nAnswer: -3*(a + 2)*(3*a + 185)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-4)\/12 + 55. Let s = c - 34. Solve -2*f = 2*i - i + 13, 3*f + s = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:57 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -821, -2844, -6821, -13412, -23277, -37076?\nAnswer: -55469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/60996 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 4, 12, 2 in decreasing order.\nAnswer: 12, 5, 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**9)\/(v*v**12)*((v**(1\/16)\/v)\/v)\/v*v**5 assuming v is positive.\nAnswer: v**(-15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b**2 + 38*b - 11. Let k be s(20). Let a be k\/34*4\/(-6) - -95. Suppose -417 - a = -3*q. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*u**3*w**3 - u**3 - 143*u**2*w - 170*u*w**4 - 3 wrt w.\nAnswer: 48*u**3*w - 2040*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15455?\nAnswer: 5, 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/16)\/((6\/1)\/(-24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1539) + 1 + 2 + sqrt(1539) + (sqrt(1539) - (sqrt(1539) + -3)) + 3 + -5*(sqrt(1539)*1 + sqrt(1539))**2 + (sqrt(1539) + -3)*3.\nAnswer: -30780 + 45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 2*p - 6. Let h(i) = 2 + 0 - 43*i**2 + 41*i**2 - i. Let z(d) = 8*h(d) + 3*l(d). Let k be z(-2). Let q(g) = -g**3 - 3*g**2 - g - 2. Give q(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90936623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g = 6*g + 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -449.8 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + 86)\/(17 + 3) and 11\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70730245.\nAnswer: 5, 14146049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 2. Let d(n) = -26*n**2 - 11*n - 5. Let j(q) = a(q) - d(q). What is the units digit of j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/sqrt(4) + sqrt(20))\/sqrt(10)*6 + 5.\nAnswer: 5 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11079899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -23912649 divided by -2?\nAnswer: 23912649\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 - 15*z - 20. Let k be t(-14). Let n = 15 + k. Let j(h) = 2*h**2 - 9*h - 28. What is the units digit of j(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 3*m + 7. Calculate j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 11264*t + 11262*t = -2, 0 = 4*r - 4*t - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 18 = -8*x. Let o = 3 + -2. Let c = x + o. Solve -n - 5*q + 1 = 0, -2*n = -c*q + 3*q + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -2825a?\nAnswer: -2825a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -355.\nAnswer: 12\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2051*u - 2052*u + 13*u**2 + 31*u**2.\nAnswer: 44*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025597993 rounded to five decimal places?\nAnswer: -0.00256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010001010101000111 (base 2) in base 10?\nAnswer: 333127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -264 - -264. Let g(x) be the third derivative of c*x**3 + 0 + 0*x + 1\/12*x**4 - 5*x**2. Let m(b) = -8*b**2. Calculate m(g(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5021 + 11312?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a factor of 1083244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let r be -1 - 2*4\/(-2). Let w = -2 - -3. Sort w, r, l in decreasing order.\nAnswer: r, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390*(-5*4\/(-50))\/(5*270\/1125)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwfb when four letters picked without replacement from {w: 1, b: 3, q: 5, y: 5, f: 5, g: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15168, 30338, 45508, 60678, 75848, 91018?\n\"Answer: 15170*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1494063?\nAnswer: 3, 109, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: In base 12, what is -8 + 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 17. Let j = w - -28. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*i**3*y - 3*d*y**3 + 2*i**4 + 4*i**3*y**3 - i**3 + 2*i**2*y**3 - 2*i**2*y**2 - 2*i wrt i.\nAnswer: -6*d*y + 48*i + 24*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/4*((-168)\/35)\/8. Let i = 247\/10 + -136\/5. Which is the fourth biggest value? (a) 0 (b) -5 (c) m (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -60*j + 323. Does 31 divide r(-53)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:04 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n + 6. Let y(j) = -1. Let m(c) = o(c) + 4*y(c). Let f be m(3). Solve -3*l + f = -3*a + 2*a, 2*l + 5*a = 13 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1264 divide 5250785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -3*y + 0 + 12 + 4*y + 1. What is the units digit of j(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7354.4788 rounded to zero decimal places?\nAnswer: -7354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 104458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -67\/4, 6, 2\/9, -2\/13?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 204 - 115. Let i = -12.67 - 76.11. Let b = m + i. Round b to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**8\/560 - 3*j**7\/280 + j**6\/40 - j**5\/40 + 5*j**3\/3 + 5. Let l(r) be the third derivative of z(r). Factor l(g).\nAnswer: 3*g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 10*j**2 - 7*j + 4. Suppose -144 + 137 = o + x, 5*x - 7 = o. Determine t(o).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7, -25, -45, -67?\n\"Answer: -a**2 - 15*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 + -173. Solve -3*x = 4*o + 3, 5*o = -x + v*x - 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 5*x. Let l be w(4). Suppose -2*n + 36 = l*g, -5*g + 67 - 22 = 3*n. Solve -5*f = -2*p - 9, 0 = 7*f - 4*f - g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 g when two letters picked without replacement from {u: 1, o: 1, t: 1, v: 1, g: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(-348))\/(1\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23018 - 23016. Solve 0 = -40*a + 35*a + x*h - 12, 2*a + 4 = h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 63 = 4*k. Suppose 5*v = -k + 1, -5*z - 5*v = -30. Solve -u + 5 - z = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l**3 - 25*l**2 + 29*l - 12. Let k be n(5). Let p(x) = -x**2 + 6*x. What is p(k)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b543 (base 13) to base 15\nAnswer: 2b426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/6, -3, -13, 0, -2\/13 in decreasing order.\nAnswer: 0, -2\/13, -11\/6, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22233122 (base 4) to base 7.\nAnswer: -242156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 236675*s. Let x(c) = 4*c + 21. What is x(b(f))?\nAnswer: 946700*f + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 4*l**2 + 6*l. Let h be c(5). Suppose h*i = 10 + 5. Let v = -0.89 + 4.89. Sort 5, v, i in increasing order.\nAnswer: i, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-648)\/189)\/12)\/((-6)\/28)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5749 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a - 32 - 13*a**2 + 15 + 14 + 4*a**3 - 8*a**2 as n*a + x + b*a**3 + r*a**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 253, 381, 509, 637?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 0.1208294.\nAnswer: -0.01208294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmg when three letters picked without replacement from mggugjuubmgvbguu?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.129.\nAnswer: 0.0645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - -3)*7\/14. Suppose -7 + 1 = -t*a. Suppose 2*r + 2 = 8. Solve -4*z = -2*h, z + 17 = -a*h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2973 + 3117. Calculate the highest common divisor of 1176 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g = -43*g + 42. Let s be g\/6*-28*6. Let u = 392 + s. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (3 + -21 + (10 - 16)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.019 - -3.181. Let o = t - 4.2. What is the closest to 0.1 in 1\/3, o, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101729 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, 2*k + 0*k - f + 82 = 0. Let q = -37 - k. Solve 0*i = 2*i + q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -188.187 + 0.187. Let r = f + 266. Let n = 75 - r. Is n < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*i**2 + 49*i**2 - 18584*i**3 - 1419*i**3.\nAnswer: -20003*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Let i = 92.18 + 1.82. Let u = i + -97. Which is the biggest value? (a) h (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1834*z**3 + 3664*z**3 + 75*z**2 - 1829*z**3 + 1 as d*z**3 + w*z + o*z**2 + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*s**2 - 39*s - 2 wrt s.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((2*sqrt(931))**2 - sqrt(931)) + sqrt(931) - (-3 + sqrt(931) + -2 + sqrt(931) + sqrt(931)))*3 + -4.\nAnswer: -63*sqrt(19) + 11186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6528, -6545, -6562, -6579, -6596, -6613?\nAnswer: -6630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 225 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 8, y: 2, a: 1, w: 2}. What is prob of sequence ww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 900 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759340 rounded to the nearest 100000?\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54951?\nAnswer: 3, 13, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 2*k**2 - 12*k + 18. Suppose -165*q + 368 = 30 - 322. Give z(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5 and -97\/1208.\nAnswer: 6040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -309 - 151*a + 325*a - 164*a.\nAnswer: 10*a - 309","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2055540 + 14*k**2 - 2055540.\nAnswer: 14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/5 - 1986*w\/5 - 5949\/5.\nAnswer: -(w + 3)*(w + 1983)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, -40, -1.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7334 - 7330. Suppose -3*i + 15 = -27. Calculate the remainder when i is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 67999*g**2. Let y(i) = -10*i. Calculate y(q(v)).\nAnswer: -679990*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(45) + (sqrt(10)*3)\/sqrt(2))*5)**2.\nAnswer: 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - v - 3, u - 4*v = -u + 22. Let o = -3 - u. Let c = -1 - o. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azbbzdyzyyyzzdt. Give prob of picking 1 b, 2 y, and 1 t.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 4. Suppose -4*q - 3 = -15. Let c(u) = -u**3 + 3*u**2 + 6. Let o be c(q). Let b be j(o). Which is smaller: 41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 + m**2 - 4*m + 8. Let y be p(2). Calculate the highest common divisor of y and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6\/155 - -507\/1085. Suppose 3*i - 9*i = 306. Let q be (5 - -1)*(-34)\/i. Which is the second smallest value? (a) q (b) x (c) 0 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 2330?\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 4, k: 8, q: 3, o: 2, x: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10c9c (base 13) in base 6?\nAnswer: -354114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -92, -139, -180, -215?\n\"Answer: 3*r**2 - 56*r - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3*n + 6, x + 3*n + 4 = -0*x. Suppose 2*m - 3*m = -x. Solve 2 = -5*v - m*c - 8, 16 = -2*v + 2*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 3 + 63*s**3 - 61*s**3 + 5 - 8*s**2 in the form j + o*s + r*s**3 + u*s**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 7) in base 3?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34047093083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/7, -29, 39?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 11 + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/4223 and 49\/5.\nAnswer: 21115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.62547 to one decimal place.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express (140*z - 170*z - 71*z)*(5*z - 2*z - z)*(0 + 3 - 2) + (5*z + z - 4*z)*(4*z - 3*z - 2*z) in the form v + u*z**2 + x*z and give u.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/7 - 424\/(-56). Solve -2*y = -2*f, -4*y - s = -4*f - 2*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s - 2*i + 4, -3*s + 3*i + 15 = 0. Let g(y) = -y + y - 2*y**s. Let l(v) = v. Give l(g(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 915 and 225600.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1.9 (c) -417 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*i = -211 - 1171 - 658 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/7)*k*k*k)**(-42)*k\/(k**(-10)\/k)*k**(7\/4) assuming k is positive.\nAnswer: k**(-521\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*a + 1, 2*a = -b + 31 - 8. Let f(h) = 5*h**2 - h - 4*h**2 + b + 0*h - 2. What is f(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.494 - -2.194. Which is the nearest to 2? (a) -10 (b) 0.2 (c) h (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/(-4*(3*sqrt(10) - sqrt(10))).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/17)*s*(s*s*s*((((s*s**(-4\/9)*s)\/s)\/s*s)\/s)\/s*s)\/s*(s\/(s\/((s**(-6)*s*s)\/s)))**(-7\/12))**(-16\/7) assuming s is positive.\nAnswer: s**(-13108\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 16 = -n. Suppose n*z + 4 = 3*z. Let x(k) = -2*k - 1. Calculate x(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -2 - -1)*-3. Suppose -q - 1 = -o. What is the smallest common multiple of o and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*d - 2*y - 150, 3*y = -4*d + 221. What is the remainder when ((-406)\/(-6))\/((-15)\/450*-10) is divided by d?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594586742?\nAnswer: 2, 2447, 121493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10575 and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4930 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i - 45*i - 31*i)*(5 - 5 - i) + 4 - 1 + 0 - i**2.\nAnswer: 99*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2849*r + 1 + 1456*r + 0.\nAnswer: 4305*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 863397*j - 863432*j = 770 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13220 - 13218 - 13225 - 13222 + z - 13190 + 66075.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*(-40*1)\/2. Let m = d - -80. Solve -3*z + 7 - 1 = m for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 225*y**4 - 5*y**3 - 2925*y**2 - 2635*y + 60 = 0. Calculate y.\nAnswer: -3, -1, 1\/45, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*u - 14*u + 39*u)*(0 - 1 + 0) + 30*u - 21 + 21 in the form d*u + c and give d.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 7*x**2 - 3*x - 224. Let f(p) = -2*p**3 + 13*p**2 - 7*p - 447. Determine -3*f(t) + 7*i(t).\nAnswer: -t**3 + 10*t**2 - 227","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m**(-6)*m)))*m)**41 assuming m is positive.\nAnswer: m**287","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557201497 a multiple of 2049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*w - 12*a = -16*a - 306, 0 = 3*a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -2*(-2 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/8 and 89\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 3, n: 1, x: 2}. Give prob of picking 1 i and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12029537485 to six decimal places.\nAnswer: 0.120295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -24235*w**2 + 4*w + 24236*w**2 + 13 - w in the form q*w**2 + f*w + n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 0*g - 24 = 5*g, -g - 10 = 6849*h - 6852*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.71242 + 49.06973.\nAnswer: 31.35731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0915 and 5.83.\nAnswer: 5.7385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15982280 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 2*v - 96. Calculate the common denominator of (-86)\/3*4\/v and 71\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.421 * -152.13.\nAnswer: 64.04673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3508 - -5204. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/5 - 37*c\/5 - 38\/5.\nAnswer: (c - 38)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031907 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28 + 28 - 8*k**2 - k**2 + 0 + 0 + (2*k - 3 + 3)*(k + 4*k - 3*k) + k**2 - 2248 + 2248 + (-k**2 + 2 - 2)*(2 - 2 + 1).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 11 + 21 + 29*h**3 + (0 - 3 - 5)*(2*h**2 - 3*h**2 - h**2)*(-h + 4*h - 4*h) to the form n + l*h**2 + s*h + c*h**3 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8*u = 24. Suppose 3*x - w = u, -7*x + 5*x + 6 = -w. Suppose z - 4*g - 9 = -2*g, x*z = 2*g + 24. Calculate the remainder when z is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:55 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*w + 50 = 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 97 = 2*z, -2*q - 8 = -2*z + 26. Let s = q - -30. Suppose 0 = -2*o - 4 + 58. Calculate the highest common divisor of o and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4455)*-1*2*-2)\/((sqrt(245) + (sqrt(245) - (sqrt(245) - (-2*sqrt(245) - sqrt(245)))) - sqrt(245) - sqrt(245))*4*-6).\nAnswer: 3*sqrt(11)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-162)\/36)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/5 + 7*h**2\/2 + 6*h. What is the derivative of c(j) wrt j?\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 8. Let l(r) = r**3. Is 15 a factor of l(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 7*c + 6. Let r(d) = 4*d + 3. Let p(y) = 11*r(y) - 6*z(y). Give p(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, z: 1, u: 2, l: 1, c: 1, k: 6}. Give prob of picking 1 z and 1 y.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 15*i**2 - 2*i - 8. Let v be u(-15). Solve -5*q - v = -7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 10*s - 7. Let u(p) = 2*p**2 - 11*p + 8. Let c(a) = -4*g(a) - 3*u(a). Let w be c(6). List the prime factors of 393\/((-121)\/w - (-2)\/5).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, 2, -5, 0 in decreasing order.\nAnswer: 2, 0, -5, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40\/155967 + 2255241\/212011142. What is the common denominator of y and 31\/4?\nAnswer: 24468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1061, -2090, -3045, -3920, -4709, -5406?\n\"Answer: q**3 + 31*q**2 - 1129*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + 591 + -5 - 2. Let r = -533 + s. What is the remainder when 626 is divided by r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 50*a + 31. What is v(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1881\/(-38))\/(3\/(-8)). Let q = y - 75. What are the prime factors of q?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-6))\/((-25)\/(450\/(-27)))\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 11*v**2 - 41*v + 11. What is y(-14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-100)\/280)\/(70\/147)*(-16)\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -17. Let j(d) = -12*d - 10 + 3*d - 3 - 230*d**2. Let b be j(o). Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 + 5882\/21. Which is the nearest to -3\/2? (a) k (b) 2\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2729 - 17?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*r**3 + 6*r**2 + 0*r**2 - 6*r**2.\nAnswer: 907*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.9.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5441945 is divided by 329.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 81474.63 tonnes?\nAnswer: 81474630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4709614082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 116\/20 - (-12)\/(-15). Suppose 10*p = 6*p - x*p. Suppose 2*s + 4*b - 3*b - 237 = p, -2*s = 2*b - 240. List the prime factors of s.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/30 - 1582*m**2. Let t(p) = 37*p + 1. Give z(t(u)).\nAnswer: 2738*u**2 + 148*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 80*u + 76.\nAnswer: 4*(u + 1)*(u + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380008?\nAnswer: 2, 47501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 351954.091 - 4\nAnswer: 351950.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**5\/7 - 153*x**4\/7 - 225*x**3 - 3399*x**2\/7 + 5130*x\/7 = 0.\nAnswer: -38, -9, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = j - 5*j + p, 5*j - 5*p + 75 = 0. Let s = j + 25. What is the greatest common divisor of 21 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5 + 1. Suppose 15*t - 11*t - 80 = 0. Calculate the highest common factor of l and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 1:13 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 92430624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -30 - -9 - (-2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-18)\/(-8)*(-104)\/(-78). Sort a, -3, -5, 7 in ascending order.\nAnswer: -5, -3, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, 18.\nAnswer: -4, 2, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, x: 5, z: 3, o: 1}. What is prob of picking 1 z and 2 v?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 10*f - 56. Let d be g(14). Solve -2*c - 8 = 2*a + c, d = 3*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 28*q**2 - 3674*q - 3700.\nAnswer: 2*(q - 37)*(q + 1)*(q + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-427)\/(-63) + (-4)\/(-18). Suppose -v + 2*i = -1, -3*i + 4*i = 3*v + z. Let m be (-1 - 643\/v)*144375\/70. Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 4*w**3\/3 - 2*w**2 + 4*w + 98. What is the units digit of z(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530705.6 litres in millilitres?\nAnswer: 530705600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 + 100 - (1 + -2). Suppose -x = -q - d, 3*q = q - d + 187. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842103 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:45 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k)**16*(((k*k**3\/k*k)\/k*k)\/k)\/k**(-1\/8) assuming k is positive.\nAnswer: k**(-359\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 1 - 2\/(-4). Let d be (-6)\/13*(1 + -26). Let h = d + -1076\/91. Which is the third biggest value? (a) h (b) i (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 4*b**2 + 2*b**2 - b**2 + 3*b**2 + 0*b**2 + (2*b - 2*b - 2*b)*(4 - 4 + 2*b) - 41*b + 41*b + 5*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35876 * 54.\nAnswer: 1937304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20 - 520\/3*h + 25*h**2 + 85\/3*h**3.\nAnswer: 5*(h - 2)*(h + 3)*(17*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h - 4 = 4*q, -2*q + 4*h = -10. Let w(f) = -9*f - 6. List the prime factors of w(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/5 (b) 16 (c) -1\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*g - 26 - 94 = 0, -3*y = -3*g - 69. Calculate the remainder when y is divided by ((-42)\/(-8))\/7*(21 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yiiy when four letters picked without replacement from iiiyiiyiii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7\/636 - 28337\/3180. What is the common denominator of 95\/8 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1897, -1875, -1833, -1771?\nAnswer: -1689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 9. Calculate o(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2112100 + 22?\nAnswer: 2112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 2 e, and 1 p when four letters picked without replacement from {e: 10, p: 3, m: 1, o: 3, h: 2}.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.132 + 1325.868. Let v = 1328.001906 - l. What is v rounded to four decimal places?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/12 - 11*u**3\/6 - u**2\/2 - 2*u. Let k be q(15). Suppose 0 = -2*b + 83 + k. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54 + -1 + (-2 - -1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -31. Suppose 0*v - 2*v - 8 = -b, c = -2*v. Suppose 0 = 4*i + 5*l + 12, 8 = 2*i - 3*l - b. Solve -3*w + 4*w - i = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, e: 2, s: 2}. Give prob of sequence es.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 91?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 871876.8 decades?\nAnswer: 8718.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 22\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18582*k**4 + 4870 wrt k?\nAnswer: -74328*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**5\/90 - f**4\/9 - f**3\/3 - 3*f**2\/2 + 11*f. Let j(u) be the first derivative of l(u). Factor j(g).\nAnswer: -2*(g + 1)*(g + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.7387 millilitres to litres.\nAnswer: 0.0187387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -0*c + 2*r - 3, 3*r + 12 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 61298 times 0.4\nAnswer: 24519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-32)\/(-460)) + ((-468)\/(-288) - 2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7500327 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - ((-71 - -77) + -1 + 41)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 - 2*y + 1. Determine k(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:57 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122334 - 2?\nAnswer: 122332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -2*h**4 + 311478*h**3 + 1245936*h**2 + 1245944*h = 0.\nAnswer: -2, 0, 155743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 536555299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 + 4*b**2 - 3*b**2)*(3 + 1 - 5)*(6*b - 9*b - 2*b)*(-3 + 3 + 5*b) to q + c*b + v*b**2 + l*b**4 + g*b**3 and give l.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 877510?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 15 - 13 = 0. Let b(x) = 4*x**2 - 7*x + 1. Let r(m) = m**2 - m. Let o(a) = f*b(a) + 3*r(a). Give o(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -249496 != -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of t**3*u**3 + 205*t**3*u*z - t**3*z + 36*t*u*z - 2*t*z + 3*u**3*z wrt t?\nAnswer: 6*t*u**3 + 1230*t*u*z - 6*t*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/10)\/(891\/45).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3881 - 3880. What is the biggest value in 2\/93, k, 6, -0.5, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2 + 1. Let z = 3 - r. Sort z, 0, 3 in ascending order.\nAnswer: 0, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 12\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 10\/(-4) + 0. Let n be (28\/(-21))\/2 - (68\/51 - 0). Which is the biggest value? (a) p (b) n (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (166\/(-10))\/(17\/(-5) + -1) and 83\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2824 + 3470 = 6*p. What is the remainder when p is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t + 4. Let q be g(0). Suppose 99 + 461 = q*r. What is the greatest common divisor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17935 + 17933. Is -1650\/7 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5782204 is divided by 360?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(36)\/(-1*sqrt(3)))**2 - 5*(1 + (sqrt(363)*-1 - sqrt(363))).\nAnswer: 19 + 110*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/18*(-1920)\/7040?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - h**2 + (-2*h + h + 3*h)*(3*h - 2*h - 2*h) + h**2 - 2*h + 2*h - 3131*h + 3131*h - 316*h**2 - h**2 - 2 + 2.\nAnswer: -319*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - (31 - 12) - (88 + 11)) + 12.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q + 71305 = 68905 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 840 = 5*j, -4*o - 324 = -4*j + 2*j. Calculate the remainder when j is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/10)\/(132\/(-550)))\/((-10)\/(-160)*-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -661*j + 663*j + l - 6972 = 0, -4*j + 5*l + 13930 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -32\/93329 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8875 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1063*f - 1591. Is 130 a factor of i(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fc1 + -5?\nAnswer: -1fc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.2 (c) 0.4 (d) -59 (e) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*m + 4*m - 4*m)*(23 - 34 + 29) + m + 2*m - m)*(2*m + 0*m - 3*m) as b + h*m**2 + k*m and give h.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 2. Is 9 a factor of (15 - c) + (-6 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 6)*(-1 - 2 + 1) + 4 - 3 + 2 + 1 + 0 + 0 + 2 + 2 - 2)*(-d + d + 2*d)*(-5*d + 5*d + d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -207, -421, -621, -801, -955, -1077, -1161, -1201?\n\"Answer: j**3 + j**2 - 224*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -8.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 401799 to the power of 1\/2, to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642338 - -2014?\nAnswer: 1644352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g - 5*g)*(-g**3 + 2*g**4 + g**3) + g**5 + 2 - 2 - 4*g**5 + 3*g**5 + 0*g**5 + (-g + g + g**3)*(0*g**2 + 0*g**2 - 3*g**2).\nAnswer: -13*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290873707?\nAnswer: 953, 305219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 271005607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*g**3 + 3 + 48*g**3 - 13*g**3 + g**2 - 2*g - 17*g**3 + 513*g**4 - 9*g**3 to the form p*g**3 + b + f*g**4 + u*g**2 + o*g and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 12?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*(-10)\/75?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:56 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*i**3 - 28 - 518*i**3 + 432*i**3 + 4*i to the form l + c*i**3 + z*i + j*i**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -69 - -26 - -27 - -29\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -11*y + 10. Solve 2*c - 5 = -y*f - 15, f - 2*c = -2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -11893.83324 and 203.\nAnswer: -11690.83324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36749*q**3*r**3 + 13*q**3*r - 291843*q**2*r**3 - 2*q**2*r**2 wrt q.\nAnswer: 220494*r**3 + 78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1585.979717 to 1 dp.\nAnswer: -1586","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 932303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -351009 (c) -21 (d) 0.2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110 - 106) + -4 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 47*h**2 - 6*h - 32. Is s(23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 45*o + 43. Let v be y(-1). What is the common denominator of ((-2205)\/18 + 1)*v\/312 and 143\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, r: 9, w: 3, z: 2}. What is prob of sequence nr?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 4 - (-19 - -30)) + (-8 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 u, and 1 z when three letters picked without replacement from uyqiyyuyizyyqiuyyy.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -487, -9401, -24287, -45139, -71951?\nAnswer: -104717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -977\/13476 or 0?\nAnswer: -977\/13476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, c: 2, l: 4, z: 4}. What is prob of picking 3 l and 1 c?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*o - 2 = 5*o, -5*o = -4*m - 19 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyryppydyyyrprpyy. What is prob of sequence rrd?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.2, -5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(128) - sqrt(128)) + 0 - (sqrt(128) + (-1 + sqrt(128))*5)**2.\nAnswer: -4633 + 464*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8879*c*q*r + 1701*c*q + c + 2675*q*r - 34*q + 39 wrt r?\nAnswer: 8879*c*q + 2675*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 3*m - 9 = -3*a, -5*m + 21 = 3*a. Let x(q) = 3*q - 3. Let i be x(a). Suppose -i*g + 281 = 71. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.7 - -7.7. Which is the third smallest value? (a) -105 (b) p (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -4, 1, 20 in increasing order.\nAnswer: -110, -4, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1169 - 1139. Calculate the smallest common multiple of 42 and y.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*-2.22.\nAnswer: -170.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-13)\/(-78)). Suppose 0 = -g*b + 6 - 0. Suppose 4*a + h - 12 = 0, -b*a + 0*a = 5*h - 24. Solve -a*i + 4 = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1 - 3 = 0. What is the lowest common multiple of (q\/10)\/(3\/60) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d - -fa115?\nAnswer: fa122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ysmo when four letters picked without replacement from {s: 1, m: 5, y: 1, o: 4}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 11) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1021045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10511 - -752?\nAnswer: -9759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 541*d**3 - d**2 + 7*d - 5. Is g(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11110111 (base 2) to base 14\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let j(k) = -4*k**2 + 12 - 12. Determine c(j(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = l - 6*l, -4*d + 20 = 2*l. Suppose -b + 39 = d*g + 9, -2*g = 4*b - 10. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z + 3. Let j be x(3). Suppose -47*n + 62*n = 0. Suppose n*k + 4*k - 16 = j. Calculate the least common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, a: 4, g: 5, y: 1, k: 2}. What is prob of sequence aqkq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21190*k**3 + 8967*k**2 wrt k.\nAnswer: 127140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**2\/8 - 129596751*j\/4 + 16795317869756001\/8 = 0.\nAnswer: 129596751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/290 and (792\/440 - (-22)\/(-10))*(-1070)\/(-104).\nAnswer: 3770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k + 25 = -g, -5 = 5*k + 247968*g - 247973*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 58, 87, 108?\n\"Answer: -4*p**2 + 49*p - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570064 and 259120?\nAnswer: 2850320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1793 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84 - -80) + -2 + -1 + (-159)\/(-24)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8\/(-28))\/(4\/(-115)) and 69\/92*(1 - 398\/42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -49*z - 683. What is b(-19)?\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172383 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**3 - 3*d**2 + 6*d + 6. Let o be (-5 - -6)*19 + (4 - 10). Let a(w) = 8*w**3 + 7*w**2 - 13*w - 13. What is o*x(l) + 6*a(l)?\nAnswer: -4*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 21 in ascending order.\nAnswer: 1, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.8576 years to decades.\nAnswer: 4.78576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4272*o**2 + 38*o + 188. Let z be 33\/15*(-19 + 9). Let p be t(z). What is p rounded to the nearest one hundred thousand?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -9 - 9. Let c be (5 - d)\/(((-1)\/3)\/1). What is the second derivative of -11*y + 26*y**3 - 14*y**c - 10*y**3 wrt y?\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 645*c**4 + 269 wrt c?\nAnswer: 2580*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6856257169 to the nearest integer?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 566 = -2*u, -2*r + 3*u = -44 - 325. Suppose 0*y = 4*g - 3*y - 417, 2*g - r = -4*y. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/12 + w**3\/2 - 2*w**2 + w. Let j(o) = -o**2 + 127*o + 941. Let x be j(-7). What is i(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15.9 (b) -22 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -49.2\nAnswer: 49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/336 and 49\/95272.\nAnswer: 4001424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -79*j**3 - 2*j**2 + 4*j + 4. What are the prime factors of p(-2)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, g: 2, h: 4, x: 4, p: 3}. Give prob of picking 3 p and 1 h.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.15626 - 184.84374. Is -0.2 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 1374?\nAnswer: -1369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 5. Let t be c(-4). Let f = t - -36. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 29210601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -224 (base 15) in base 11?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 222*r = 3949 - 1069 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 3*i**2 - 6*i - 4. Let c = -42 + 78. Let u = -40 + c. Let v be n(u). Solve b - v*b = -12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510, 891, 1276, 1665, 2058, 2455, 2856?\nAnswer: 3261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 3*d**2 + 2*d - 2. Let k be s(-4). Let y be (-20)\/(-3) + (-4)\/k. Let r be (2\/4)\/(y\/(-24)). Let u(m) = -2*m - 3. Calculate u(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from jjzjjzjzzzzzzz.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 13*x - 10. What is the tens digit of i(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(-1)*3. Suppose l*s = -4*o + 29 + 11, -5*o - 28 = -4*s. Which is smaller: s or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9800, -19601, -29402, -39203, -49004, -58805?\nAnswer: -68606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*h - 2*g - 9, 4 = -3*h - 5*g. Let f(q) = -7*q + 9. Let k(j) = -10*j + 13. Determine h*f(n) - 5*k(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 270 = -3*k + 5*j, 2*k - 131 = -3*j. Let h(d) = 8*d + 1. Let p be h(-6). Let l = k + p. Does 23 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -74 (c) -5 (d) 1\/11 (e) 1.5 (f) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*w = -6 + 1, -4*a = 3*w + 29. Let n be a*(-4 - -2)*(-13)\/(-26). Let o(t) = -t. Determine o(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 3, w: 1}. Give prob of sequence uw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-1045)*19)\/((3\/(-4))\/(33\/(-11))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 2*j + 28. What is the remainder when c(14) is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5063*c + 47724 = 5051*c - 10606*c for c.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -866 - 775?\nAnswer: -11db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - m = 6 - 43, 0 = -5*a + m + 43. Calculate the remainder when 11 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18\/5*u - 4\/5*u**2 - 8\/5 = 0. What is u?\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -7*c**2. Let i(o) = -53*o + 112*o + o**2 - 25*o**2 - 57*o. What is i(t(w))?\nAnswer: -1176*w**4 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-6\/11)*j)\/(j\/(j*j*((j*j**(-17)\/j*j)\/j)\/j)))\/(j**(2\/23)\/(j*j**14)))**(1\/6) assuming j is positive.\nAnswer: j**(-80\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 81\/99*143\/39. Let o(j) = -1. Let n(g) = 4*g - 4. What is x*o(b) - n(b)?\nAnswer: -4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxa when three letters picked without replacement from xxxcxxxxaxxxxx?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2137097009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + -33 - (8 - (5 - 6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 271460 - 87696. List the prime factors of h.\nAnswer: 2, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*c - 10, -2*c + 7 = -4*h + 3. Solve -2*i + h = 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13, -120070 in descending order.\nAnswer: -5, -13, -120070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 86.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 19590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-11)*33\/24.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2*w**3 - 21*w**2 + 38*w - 1\/4*w**4 - 24.\nAnswer: -(w - 12)*(w - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188*404.\nAnswer: -75952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010100101011111 - 100?\nAnswer: -101010100101100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14828 - -14864. Let a = 555 - -129. Calculate the highest common divisor of t and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*k + 3*t + 28, 0*k + 2*k - 5*t - 75 = 99 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from elelooeooewowwocol?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from cbxvxxvbxkbkkvx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1771*w**2 - 58 - 1709*w**2 + 12 wrt w.\nAnswer: 124*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 913?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 541919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 8*d**2 + 139*d - 17. Give y(9).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2652351 by 204027.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0 (c) 4 (d) -1\/12 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmllmmxmgjl. Give prob of picking 1 g, 1 m, and 1 x.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6011 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/((-8)\/(-240)). Let z be (r\/21)\/(8\/56). Solve 2*v = 3*v + z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247 = -42*f - 95 + 16. Solve 27\/2*x**2 - 21\/2*x**f - 3 - 15\/2*x + 15\/2*x**3 = 0 for x.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12*26\/(-208)*2\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34*w**2 - 27*w**4 - 34*w**2 + 73*w**2 wrt w?\nAnswer: -648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 10:03 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/40 - (-3 - (-76)\/(-10))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5 + 11. Let y(u) = 25*u**2 - 7*u**2 + 0*u**2 - 3. Is y(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -0.3, -41\/3, 1008?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 174 divided by -371754\nAnswer: -29\/61959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/((((c*c\/(c**(1\/6)*c)*c)\/c)\/c)\/c)))\/c**17)\/(c**(-2\/29)\/c**(3\/5)))**(-2\/63) assuming c is positive.\nAnswer: c**(15223\/27405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t**2 - 160*t + 308. Give g(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**2 + 181716*o + 363448 = 0.\nAnswer: -2, 45431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5 + 16*a**3\/3 - 9*a. Find the second derivative of s(i) wrt i.\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**8\/1344 + 15*m**7\/56 - 227*m**6\/240 + m**5\/120 + 151*m**4\/32 - 227*m**3\/24 - 4443*m**2. Factor d(w).\nAnswer: (w - 1)**3*(w + 1)*(w + 227)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -93644663 (b) -0.4 (c) -1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1983528)\/(-540) - (-2)\/(-10)?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -135935\/34716 + -3\/2893. Calculate the common denominator of f and 97\/825.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3924534541?\nAnswer: 17, 230854973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -257 + -9417?\nAnswer: -9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 + 2*z**2 - 2*z**2 + (-8*z**2 - 24*z**2 + 3*z**2)*(-z - 1 + 1))*(-4*z + z - z) to the form h*z**3 + j*z + r*z**2 + g*z**4 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in 1, -0.11, 2, 2\/3?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 2. Let k(o) = 1. Give -3*k(l) - u(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a975a042 - 1?\nAnswer: -1a975a043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 - 17*v + 487. What is b(10)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**1)**25\/(s*s**2\/s*s)**(5\/7))**38 assuming s is positive.\nAnswer: s**(12730\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 279966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 103, 4, -6306 in decreasing order.\nAnswer: 103, 4, 2, -6306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000175596591 to six dps.\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/5, 1386, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -14 - (-5 + 2 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-381)\/(-2) - 2\/(-4). Let n = -30 - -33. Suppose -2*r - u = -n*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*l**3*y - l**3 - 172*l**2*y - 16*l**2 - 6*l*y - 4*l - 9*y + 2 wrt l.\nAnswer: 12*l*y - 6*l - 344*y - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*c - 1822 + 1220. Let k = 1200 - 472. What is the remainder when k is divided by c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/3921254925?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/(-3))\/(-5) + 22. Let k = v - 10. Let c = 26 + k. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 28*b = 7. Let a(w) = -w**2 - 19*w - 11. Let d be a(-11). Calculate the greatest common factor of b and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -5*t**8\/336 - 5*t**7\/21 - 25*t**6\/24 - 23*t**2 + 70*t. Let c(o) be the first derivative of a(o). Let c(p) = 0. What is p?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -8\/11, 7.\nAnswer: -8\/11, 0, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*y - 9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mymk when four letters picked without replacement from {m: 2, y: 2, k: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2)*5) + sqrt(76) + -3.\nAnswer: -3 + 11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-3 - (-330)\/108). Which is the fourth smallest value? (a) 4\/7 (b) 0.05 (c) r (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 35*a + 31. Calculate the remainder when d(-35) is divided by (-1)\/(-2) + 63\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -5*f - 51. What is the remainder when 133 is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 divided by -5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 1 - 19 - -6 - 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**6\/24 - m**5\/10 - m**4\/16 + 12. What is h in l(h) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 10 = 0, -4*m = -5*d - 0 - 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 121?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/30 + 71*o**5\/25 - 84*o**4\/5 + 392*o**3\/15 + 136*o**2\/5 - 528*o\/5 - 287. Factor b(r).\nAnswer: -(r - 66)*(r - 2)**3*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 19*f - 18. Which is smaller: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55.9 - 56. What is the second biggest value in 3\/5, -2, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 198*f - 1276. Let r be j(7). Solve 0 = 33*s - 11*s + r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (707\/196 - 4) + 2\/8. Let c = 5809\/1820 - -3\/364. Let x = -18\/5 + c. Put x, -2, o in ascending order.\nAnswer: -2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*j + 3 = 4, 3 = 3*j. Let y(k) = k**3 - 7*k**2 + 2*k - 9. Let z be y(7). Let b(q) = q - 8. Let r be b(8). Put z, r, g in increasing order.\nAnswer: g, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/20 - 876\/(-5). Suppose -i = -38*d + 33*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 + 1011*k - 174 - 1011*k to l*k**2 + y*k**3 + p*k + r and give r.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**3 + 11*j**2 + 10*j - 7. Determine y(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -28216692 times -1.1\nAnswer: 31038361.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-62 + 3 + 13)*(2915 - 72*b - 2915) in the form l + r*b and give r.\nAnswer: 3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466.125 - 410. Let j = -0.125 + q. Let c = 55.7 - j. Put -0.4, -2, c, 5 in descending order.\nAnswer: 5, c, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260655 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, g: 3, s: 7, q: 5, o: 2}. Give prob of sequence sqo.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 26. Let x be o(10). Suppose 4*u - z = 75, 4*u + 4*z - x = 4. Suppose u*p + 24 = 23*p. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1936 and 555742?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.1 less than 597?\nAnswer: 493.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5777 - -5799. Solve -3*b - m*b = -100 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10341 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1942 + 9*v**4 - 2*v**2 + 4*v**2 - 2*v + 2*v**3 + 1941 as j*v + l*v**3 + s + r*v**4 + n*v**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*k + 12, -8 = 3*k - 6*k + 2*v. Let b(p) = p**3 - 5*p**2 + 3*p + 3. Let y be b(k). Let l = 264 - 268. Put y, 0, l in decreasing order.\nAnswer: 0, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 954.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1190)\/(-51))\/35)\/((-476)\/(-63))?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/18*3\/4. Suppose 4*c = 4*r + 12, -1 = 383*r - 382*r. Factor 8\/3*m - w - 2\/3*m**c.\nAnswer: -2*(m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 232 - 11. Let i = -158 + q. Suppose -i = -2*o + 31. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57760, -57760, -57752, -57730, -57688, -57620, -57520, -57382?\nAnswer: -57200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3813 - 5?\nAnswer: -3818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 199.2 + -199. Let v = -25 + 171\/7. Put u, 1.4, v in decreasing order.\nAnswer: 1.4, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2404, 9425, 21120, 37483, 58508, 84189?\n\"Answer: -v**3 + 2343*v**2 - v + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-24)\/16)\/((-6)\/8). Let s(t) = -2 - t**2 + j - 1 - 11*t**2. Determine s(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/5)\/((-2)\/(-10)). Let z(a) = 1 + 8*a**2 - 6*a**f - 8*a + 15*a - 3*a. Is z(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**1\/y*y*y)\/y)\/y)**(-47))**(-5\/3)\/((y\/y**(1\/5)*y*y)**16)**(15\/4) assuming y is positive.\nAnswer: y**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.619 (b) 0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 2*q**2 + 3*q - 4. Let i be b(2). Let m(c) = 2*c**3 + 3*c**2 - 2*c - 2. Let y be m(2). What is the greatest common divisor of y and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 f when two letters picked without replacement from rrrfrrzqrzrrrrrrzrjr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360516 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -237 and -56.\nAnswer: -293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v. Let a be b(-1). Let f be (-20)\/(-11) - a\/(-11). Differentiate -3 - s**f + 6 - 1 wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**5\/240 - 119*y**4\/48 - 79*y**3\/8 - 25*y**2. Let n(d) = 0. Calculate d.\nAnswer: -237, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -555, -157, 245?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5115165.\nAnswer: 3, 5, 11, 29, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -q - 27, -q = 2*x + 3 + 12. Let w be ((-120)\/198)\/(4\/x). Which is bigger: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-12))\/(3 + -4). What is the smallest value in 5, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/7 - 15726654*g**3\/7 - 4416561737782*g**2 + 92747906580030*g\/7 - 61831958688900\/7 = 0.\nAnswer: -3931665, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-5 - -3 - 38) + (-13 + 27 - 1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-5)*35\/(-2). Let g(z) = -z**3 + 5*z**2 - 10. Let i be g(4). Calculate the greatest common factor of i and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 14471*s - 130239. Let p be o(9). Factor 0*z - 8\/3*z**2 + 2*z**4 + 2\/3*z**5 + 0 + p*z**3.\nAnswer: 2*z**2*(z - 1)*(z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -1192, -2707, -4842, -7603, -10996?\nAnswer: -15027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 22. Let u be f(6). Suppose -3*o = -2*q - 2568, u*o - 8*o - 4*q = 1704. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/80*-12*((-8)\/(-2))\/((-2121)\/(-202)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*v + 6*v + 12, 0 = 4*v + 12. Suppose 1 = -i + 5. Suppose -4*f - i - 8 = 0. Sort g, f, 3.\nAnswer: f, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**33 assuming d is positive.\nAnswer: d**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**2\/4 - 1645*m\/4 + 1647\/2 = 0. Calculate m.\nAnswer: -1647, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1134895 times 0.4\nAnswer: 453958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1154 + -1153.087. Let t = -0.113 + u. Let z = t - -4. What is z rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6162998 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of k**5\/170 + 3*k**4\/34 - 25*k**3\/51 - 33*k**2\/17 - 32*k - 3. Factor w(q).\nAnswer: 2*(q - 3)*(q + 1)*(q + 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-7 + 5) - (1 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2 + 1 = 0. Let c(l) = -15*l**2 - 4*l + 65. Let n(q) = 13*q**2 + 3*q - 56. Let j(k) = -6*c(k) - 7*n(k). Give j(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.735 times 23139\nAnswer: 40146.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s**3 - 125*s**2 - 2*s + 29. Let z be p(25). Let t = 49 - 112. Let g = z - t. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1277 - -13?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 + 9*m**3 - 6*m**3 + ((6 + 2 - 4)*(2 - 2 - 2*m**2) - 9*m**2 + 13*m**2 + 8*m**2)*(-1 - m - 3 + 2).\nAnswer: m**3 - 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - v - 22 = 3*v, 5*x + v = -10. List the prime factors of 386 + 0 + x + 80\/20.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iouuiqiiuss. What is prob of picking 2 s, 1 o, and 1 q?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 7*j**2 - 6*j + 8. Let w be r(6). Let m be (-108)\/(-63)*28\/4 + 0. Calculate the highest common factor of w and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, i: 2, p: 5, f: 2, n: 9}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h + 47*h + 37*h + 694 + 584.\nAnswer: 96*h + 1278","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*d + 51*d + 40*d + 53*d + 2.\nAnswer: -62*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 2:33 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444611200 to the power of 1\/2, to the nearest integer?\nAnswer: 21086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 5*u + 17 = -4*t, 2*u = -0*u - 10 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -383426 + 83?\nAnswer: -383363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 9 + 7 = 0. Suppose -1 = -c + r. Suppose 4*t = t + c*j + 129, -4*t - j + 162 = 0. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1160*m**5 + 25*m**3 - 9*m**2 - 39625*m?\nAnswer: 69600*m**2 + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12230521601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.1031*-4\nAnswer: -0.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*k - 2 + 2 + 3 - 17 + 56*k.\nAnswer: 91*k - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 52889*i. Let z(l) = 15*l. What is p(z(j))?\nAnswer: 793335*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 14.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41285 and 55?\nAnswer: 454135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 8:35 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 46*i**2 - 4027*i + 501. Determine a(88).\nAnswer: 2349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 7:18 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 29863849 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 13*q**2 + 4*q - 21. Let l be c(-14). Let u(o) = 17*o**2. Let a be u(-1). What is the greatest common divisor of l and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*o**6 - 7*o**5 + 61*o**3 + 11*o**2 - 2*o - 599 wrt o?\nAnswer: 8160*o**3 - 420*o**2 + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 5*v + 10*f - 134, 5*f = -v + 46. What is the remainder when 102 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*b + 51 = 1542, -4*b - 1176 = 4*h. Is h <= -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1907 = 19*c + 4287. Let o = -324 - c. Solve -21 = -4*q + 2*g - g, 0 = o*q + 2*g - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1643538 to the nearest 100.\nAnswer: -1643500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/12333 and -127\/150?\nAnswer: 616650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(1300) + -2*sqrt(1300))*-6 + -4 + 1*sqrt(1300))*-1 + -5)**2.\nAnswer: 840*sqrt(13) + 63736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -18 - (-10 + -23)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30464 and 28219184?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {b: 1, s: 5, g: 5}.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -5, 0, 5 in decreasing order.\nAnswer: 5, 0, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:56 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19*d**2 + 105*d + 417. Determine s(-4).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 31\/((-2418)\/117)*((-160)\/(-24))\/(2\/(-26))\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 149069775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 1585 = -0*r + 198*q, -5 = -4*r - q + 3 - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37225 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + s + 2*s + (-2*s + 2*s + s)*(8 + 0 - 1) + 5*s - 6*s - s.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*w + 5*w = 6, 0 = -4*w. Suppose 4*f - 27 = f - g*o, -2*f = o - 19. Calculate the remainder when 28 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6345?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50412.\nAnswer: 2, 3, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**3 - 4*q**2 + 4*q**2 + (-3 + 2 + 2)*(2 + 3 - 3 + (-6 + 2 + 1)*(-2 + 5 - 2) + 3 + 0 - 5)*(3 - 6*q**3 - 3).\nAnswer: 23*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 7)\/3 - 18. Let a(g) = -g**3 - 7*g**2 - 16*g - 66. Let c be a(-6). Sort c, 2, n in increasing order.\nAnswer: n, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s + 5 - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.7 + 6.7. Which is the third smallest value? (a) d (b) -5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20602952 - -70699\nAnswer: 20673651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62555 + -62550.9629. Let p = x - -0.0729. Let i = 0.11 - p. Sort 5, 2\/3, i.\nAnswer: i, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -r, 4*z - 19*r = -20*r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2829801*a**3*p + 1422*a**3 + 8751*a**2 - 2*p wrt p?\nAnswer: -2829801*a**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**37)**(-33) assuming d is positive.\nAnswer: d**814","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**2 + 3816664*h + 910432755556 = 0 for h.\nAnswer: -477083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 117 + -111. Let y be (3\/q)\/(-5 - -6)*4. Suppose x = v + 135, 3*x + 3*v - 437 = -y*v. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002183871873 to six decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20 (b) -2\/3 (c) 0.4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12531 + -12531.0007423. Round h to 5 decimal places.\nAnswer: -0.00074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 13 = 2*m - 3*m, o - 5*m = -1. Let w = 9 + o. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k. Let f(w) = -17*w + 5. Let v(z) = -18*z + 5. Let u(i) = -6*f(i) + 5*v(i). Let j(d) = 18*d - 8. Let x(y) = -5*j(y) + 8*u(y). Determine b(x(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + (-12 - -7) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186648 = 304*x - 197896 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w**4 + 635*w**3 - 1500*w**2 + 1015*w - 170 = 0 for w.\nAnswer: -34, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 980*p**6 - 1829*p**4 + 56307*p**2 + 400?\nAnswer: 117600*p**3 - 43896*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + be?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 - l - 4. Let h be o(-3). Let v be (-2)\/(-8)*(-8)\/h. Let p = 40834 - 40835. Which is the closest to p? (a) 5 (b) 1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a. Let c(z) be the third derivative of 11*z**5\/60 + 29*z**2. Give c(v(d)).\nAnswer: 396*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.1 - 2.1. What is the nearest to 3 in -0.4, z, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -21*h - 101. Let r be l(-5). Let p = -6\/473 - -8071\/2365. Let f = p - 18\/5. What is the third smallest value in f, 5, 1\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 377056 and 4?\nAnswer: 377052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 219*d - 1068. Let l be h(5). Solve -l = 4*u + 2*g, -9*u = -5*u - 4*g + 32 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282731 is divided by 992?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 18*w**2 - 15*w + 40. Calculate the remainder when 49 is divided by s(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*t - 90*t. Let p(l) be the first derivative of 2\/5*l**5 + 0*l**2 - 9 + t*l**4 + 4*l + 0*l**3. What is the derivative of p(w) wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34\/53 + -357\/848. What is the common denominator of 77\/20 and g?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m + 35. Let o be n(9). Let l = 551 - o. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*u + 17 = -u, 4*x = -2*u - 18. Let w be (-1)\/(-3*(-2)\/30). Let r = w - x. Solve -r*b + 2*j = 5*j - 2, 6 = -2*b + j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9855 and 3717765.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-6*(sqrt(2) + sqrt(2)*-2) - sqrt(2)))*3 - -6*(sqrt(72) + 1))**2.\nAnswer: 288*sqrt(2) + 1188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(5\/3)*u)\/u**(1\/4))\/(u*u**(1\/4))**(-41))\/(u**(-13)\/(u\/(u\/(u\/(u*u*u\/(u\/(u*u**(6\/7))*u)*u))*u)))**(-1\/66) assuming u is positive.\nAnswer: u**(12365\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7918840 rounded to the nearest one hundred thousand?\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23786329753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*(1*(sqrt(204) + sqrt(204)*-1)*4)\/(4*sqrt(48)*-2))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 67. What is the units digit of d(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -12. Suppose -t - 34 - 14 = 4*v, 4*t = -2*v - 10. Let x = m - v. Solve -x*c + 3*c = 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1\/6 (b) 1\/4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 413 and 414 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - u + 25 = 8, 6 = -3*v + 2*u. What are the prime factors of (5 + 1)*(-6)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*z**3 + 2\/5*z + 7\/5*z**4 + 3\/5*z**2 + 0.\nAnswer: z*(z - 1)**2*(7*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17415 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 30248?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:36 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 112000000 = 10*r. What is r rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-40)*3*-6*(-4)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 730 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574 = -0*l + 14*l - 96*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-44)\/12 + 4)\/((-8)\/6). Let y = -32 + 41. Let t = y + -21\/2. What is the second smallest value in t, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 54*o**2 - 8*o - 3. Let t(z) = -114*z**2 + 16*z + 6. Let i(d) = 17*k(d) + 8*t(d). Let f(h) = h + 1. Give -6*f(m) - i(m).\nAnswer: -6*m**2 + 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10112 times -23?\nAnswer: 232576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-640)\/780 + (-8)\/(-52)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {a: 1, p: 1, x: 5, h: 4, f: 3}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.5 - -0.8. Let q = r - 0.3. What is the third biggest value in 0, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-1 - (0 + 1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r - 3. Let v(o) = -o**2 - 4. Let u(j) = -j**3 - 11*j**2 + 27*j + 294. Let m be u(-11). Calculate m*b(l) + 2*v(l).\nAnswer: -2*l**2 + 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -11.1. Let v = -9 - g. Which is the biggest value? (a) 1 (b) -2\/21 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 + (-1850)\/111)*(-9 + 7).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 4*w + 3. Let c(l) = l**2 - 6*l + 6. Suppose 2*y = 14 - 6. Let j be c(y). Let z(h) = h**2 + 3*h - 2. Let n(f) = j*o(f) - 3*z(f). Factor n(i).\nAnswer: -i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*l**3 + 80*l**2 - 15*l**2 - 66*l**3 wrt l.\nAnswer: -324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.39 - -10. Let j = 1.7 - z. Let m = -0.096 + j. What is m rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*m + 16, 4*y = -2*m - 3*m - 26. Let b = 0.6269 - 0.8269. What is the second smallest value in 1\/3, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*c*t - 24998*c + 3*t - 839847 wrt c?\nAnswer: -45*t - 24998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17723*m**3*r*z**2 - 212*m**2*r*z**2 - m*r*z**2 - 2*m*r*z - 2*m*z + 1871*r*z**2 + 9 wrt m?\nAnswer: 106338*m*r*z**2 - 424*r*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43885441?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = 2*x + 23*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 29*p - 14. Let w be o(-16). Suppose w = 13*b - 967. Is 7 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315248882.\nAnswer: 2, 13, 311, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000652701 to 7 decimal places.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*y**3 - 2*g**3*y**2 - 12*g**3 + 157*y**2 - 9 with respect to y.\nAnswer: 3*g**3*y**2 - 4*g**3*y + 314*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 14. Find q such that 4*q**2 + 14*q**4 + 16*q**4 - 32*q**4 + 2*q**m = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12162, 24249, 36326, 48393, 60450, 72497, 84534?\n\"Answer: -5*y**2 + 12102*y + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3. Suppose -3*z + 2*z = g. Suppose 2*y + 2*f - 21 = -7, 5*y - f - 11 = 0. Sort -5, z, y in decreasing order.\nAnswer: y, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2, -2\/13, -67\/4, 4?\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*v**5 + 2*v**3 + 10*v**2 + 14?\nAnswer: -10380*v**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5489*-0.07\nAnswer: -384.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 5) + 3 + 15. Let z = -7 + k. Let l = 8 - z. Is l greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 AM and 1:24 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 2*i)*(-1 + 3*i + 2 - 4).\nAnswer: -9*i**2 + 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 59669?\nAnswer: -59673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.050712mg in micrograms?\nAnswer: 5050.712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n\/(n\/n**0*n*n))\/n)**17)**(-42))**(1\/7))**(2\/67) assuming n is positive.\nAnswer: n**(612\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of 0*j + 0*j**2 - 2\/3*j**3 + 26. Let b(c) = 4*c**2. Calculate z(b(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33328 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5754956040 a multiple of 5220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 520*k**2 + 2*k + 100*k**2.\nAnswer: 620*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-39)\/(-12) + (-1)\/4. Let l be ((-4)\/(4\/f))\/(-1). Suppose c - 31 = 5*h, 0*c - 5*h + 33 = l*c. What is the greatest common factor of 16 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1465801 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1052 = 4*d + 1008. Let y(o) = d*o + 2*o + o**2 - 2*o + 10 + 0*o. Calculate y(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 0*p = -p - 9*p - 91, -50 = 2*x + 4*p for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.3 - 0. Let l = y + 4.2. Let s = -0.1 - l. What is the second biggest value in -1\/8, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -872 + 889. What is the remainder when 32 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*x + 313, -2*u - 4*x = -169 + 27. Calculate the greatest common divisor of 52 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -4.1. Suppose -4*d + 25 = 5*n, 0 = -5*n - 3*d + 20. Let q be (n + (-68)\/60)*-3. Is u smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -4 in descending order.\nAnswer: -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -22. Suppose 3*q + 39 - d = 0. Is (q - -13) + 217 + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28 = 4*j, 4*j = 4*c - 3*c + 14. Let f = 19 - c. Is f a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -11. Suppose -2*a + 4*r = -4, -2*r - 6 = -3*a - p*r. Suppose 0 = a*k - k + 4, -i - k - 4 = 0. Put i, 4, -1 in descending order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28578 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 158\/711*18\/(-32).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/43, 3, 4, 0, -2.8?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2014?\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 996 + 1020. Is 42 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**34*m\/(m*m*m**(-18)))\/(m\/((m\/((m\/m**(22\/3))\/m))\/m))**12 assuming m is positive.\nAnswer: m**127","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(1 + 219\/(-222)). Suppose -5*b - 8 = -d. Is b a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*j + 71*j = -917970. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -2*-3*sqrt(99) + sqrt(99) - sqrt(99)) + sqrt(99) + ((sqrt(99) + 2*sqrt(99) + sqrt(99))*6 - sqrt(99)))\/(sqrt(216)\/sqrt(6) - sqrt(324)*-3).\nAnswer: 31*sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10081643\/60 less than 168028?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 216.62 + -215. Let g = 1.22 - y. Which is the closest to 1\/3? (a) 4 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (488\/1220)\/(7\/35). Let u = 2.2 + -2. Let l = -0.1 + u. What is the closest to l in p, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1004270 and 35\/16.\nAnswer: 8034160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 9\/28 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56735, 8, 1, -4 in descending order.\nAnswer: 8, 1, -4, -56735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 68412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**2)\/t**5*t*t*t*t\/t**(-3)*t*t\/t**(-4\/9)*t)**(-33) assuming t is positive.\nAnswer: t**(-440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -395, -387, -363, -317, -243, -135, 13?\n\"Answer: v**3 + 2*v**2 - 5*v - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 - 7*t + 33 + (-1 + 1 - 2*t)*(5 - 3 - 1) - 77 + 118 + 4*t - 74 to the form f + i*t and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*2*(-48)\/(768\/136)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 374867080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + l - 25 = -3*r, -5*r = -3*l - 47. Let s(y) = -y**2 + 6*y + 4. Let z be s(r). Let m(j) = -j**2 - 6*j - 1. Calculate m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*a**2*h**3*m**3 + 11*a**2*h**2 + 2*a**2 - 7*a*h**3*m**3 - h**3 + 13*m**2 wrt m.\nAnswer: -174*a**2*h**3 - 42*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y + y**3 - 4*y**2 - y**3 + 4*y**2 + (y - 6*y + 3*y)*(-3*y**2 - 2*y**2 + 6*y**2) + (199*y + 199 - 199)*(-4 + 4 - 2*y)*(-2*y - y + 2*y).\nAnswer: 396*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31874845*f**2 + 7*f**3 + 31874845*f**2 + 9*f**3 - 40*f**3 + 15*f**3 + 6*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -933\/10 - -349\/5. What is the common denominator of j and 23\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -5*t - 15, 0 = 4*t - 4*s + 4. Let f be ((-186)\/30 + 4)*(t - 2). Suppose 14*c = f*c + 231. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14*84*3875\/1860.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -58, -85, -112, -139, -166?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 5*v + 0*v - 4*v + v + v + 1 - 1 - v + (-1 + 1 - 2*v)*(-2 + 2 + 2) + 68*v - 46*v + 119*v + 333*v.\nAnswer: 469*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -1. Suppose -3*q - 306 = -3*o, -23 = -o + 3*q + 71. Suppose -8*m = -o - 246. Calculate the highest common factor of m and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - 162012\/(-4485))\/(-4)\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1125, -4500, -10123, -17994, -28113?\n\"Answer: -1124*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 16*o + 0*o**3 - o**3 in the form v*o**2 + a*o**3 + g*o + h and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 22 = 2*i. Let b(h) = 4*h. Let c(w) = -13*w + 1. Let k(v) = i*b(v) - 2*c(v). Let m(p) = -9*p - 5*p + 20*p - 7*p - 1. Calculate 2*k(x) - 3*m(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 623855410.872 + -2\nAnswer: 623855408.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 895316.3 years?\nAnswer: 895.3163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*u - 344*u = -264 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224938 is divided by 1323?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9950635?\nAnswer: 5, 739, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(0 + 3) - (-688)\/(-1032) - 990\/418?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 6. Let z(j) = -j**2 + 5. Suppose t + 24 = 19. Calculate t*g(i) + 6*z(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 33835809.46653+0.2\nAnswer: 33835809.66653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*j = 2*n + 6, 0 = -n - 4*j + 36. Calculate the greatest common factor of n and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(5\/25))\/((-2)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 41, 19, -2.\nAnswer: -2, 3, 4, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 11*f**2 + 5*f - 97. Let y(v) = 2*v. Give c(y(p)).\nAnswer: 44*p + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1039 - -982. Calculate the greatest common divisor of 47 and r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5687661.7 + 6723\nAnswer: -5680938.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -623039*w + 5607359. What is t(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 1885 = -5*k, -2*i + 3*k + 754 = 6*k. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -279, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/418 and -55\/1026.\nAnswer: 11286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(1 - 1 - 3*h)*(3*h - h - 4*h) to i*h + r + v*h**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14212742, -56850965, -127914672, -227403863, -355318538, -511658697?\nAnswer: -696424340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1241 is divided by 599?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -62.3.\nAnswer: -6.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l + 2*w = -21*l - 13, 4*l + w = -34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 25) + (-94)\/18 - (-11008)\/288.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82852 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 51333 minus 1.1?\nAnswer: 51331.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2573 divided by 20.\nAnswer: 2573\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 27126 = -3*p + 28422, -5*v + 138849 = 4*p. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34 + 0.04. Let q = i + 0.1. Let v = -70.89 + 70.49. What is the second biggest value in q, 4, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*a - 8*a. Let q(k) = 108 - 111 + 4*k + a*k. Let r = 6 - 3. Determine q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -21*x**2 - 326*x + 112. What is a(-16)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832195.\nAnswer: 5, 7, 13, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*1200672\nAnswer: 4802688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081.\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -249. Let w be 50\/18 + -3 + a\/9. Solve 5*h + 4 = -y - 3, -5*h - w = -5*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138008\/11 + -12463. Let y = 83 - c. What is the third smallest value in 5, -0.2, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -308*o - 1752*o - 1096*o = 316*o - 135408 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47 + 12*x + 47 + (4*x - x - 4*x)*(-1 + 2 - 3) - 4*x + 0*x + 5*x - 4*x + 3*x + 3*x - 5*x + 3*x - 5*x + (1 - 3 + 0)*(-x + 2*x - 3*x).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, -39787, 26 in descending order.\nAnswer: 26, 4, -10, -39787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h**(22\/3)*h)\/h*h)\/h)**(4\/7))**(-5) assuming h is positive.\nAnswer: h**(-500\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13111.36 millilitres in litres?\nAnswer: 13.11136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from papraapiarpirrpapa.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 4. Suppose 25*z = -223*z + 1240. Let x(u) = -2*u + 6. What is z*x(s) - 8*r(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 10}. Give prob of sequence ell.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88 divided by 1.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -74. Let q = 0.3 + -0.1. Let d = q + -0.3. What is the biggest value in 0.3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)\/sqrt(2) + -1 - (sqrt(20) + 0)) + -4)**2 - ((3*(sqrt(50) - sqrt(200)) - sqrt(50)) + sqrt(50))\/(sqrt(250) + sqrt(250)*1).\nAnswer: 103*sqrt(5)\/10 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b**3 + 11*b**2 + 437. Let m(i) = 3 - 2*i**3 - 90 - 2*i**2 + i**3 - 2*i**3. Let x(z) = -2*c(z) - 11*m(z). Find the first derivative of x(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/45)\/f**(-11))**4 assuming f is positive.\nAnswer: f**(1988\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82 = 2*x - 4*k + 46, 5*k + 51 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2263147 and 3150941.\nAnswer: 7277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021.815 rounded to the nearest integer?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtqt when four letters picked without replacement from qtqtq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.57 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 53\/5 of a gram?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + 5*q**3\/3 + 5*q**2\/2 + 8*q + 2. Let o be f(6). Suppose w + 3*i + 12 = o*w, 2*w = i + 29. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11320*p - 5663*p - 5618*p = 2886 for p.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9409273, 9409271, 9409269, 9409267, 9409265, 9409263?\nAnswer: 9409261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196136 is divided by 16283?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -29 at least -1146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1346919, -2693831, -4040743, -5387655?\nAnswer: -6734567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140204922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z - 55. Let m(v) = -7*v - 28. Give -3*g(l) + 5*m(l).\nAnswer: l + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*z + 2*z + 3 + 7*z - 3.\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let k(o) = -5*o - 5. Calculate -k(u) + 4*l(u).\nAnswer: u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66)*4 + sqrt(66)))*2)*6)\/(-3*(sqrt(384) - (sqrt(384)*-5 + sqrt(384)))).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12386, 12719, 13244, 13961?\n\"Answer: 96*q**2 + 45*q + 12245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 8:16 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 308021647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w + 12 = 0. Suppose 2*y + 2 = -w*z, 6 - 2 = 5*z - 4*y. Let s be (-3)\/6*z\/(-2). Solve s = -5*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 4233.82kg?\nAnswer: 4233820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 68549687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + -0.9. Let s = -11 - -11. Put d, s, -5 in ascending order.\nAnswer: -5, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - -1*(7 + -1) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**3\/6 - 24*v**2 + v. Let n(i) = -4*i + 20. Suppose -3 = 4*o + j, 0*o - 4*o = -2*j + 6. Determine o*n(q) - 20*c(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 2 + 2*v**3 + v + 5 - 3*v**3. Let f be s(0). Suppose 2*n + 4*g - 218 = 0, 4*n = f*g + 306 + 75. Is 31 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6)*(x\/((x**(5\/4)\/x)\/x*x))\/x)**(-44) assuming x is positive.\nAnswer: x**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3404040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -253, -633, -1273, -2173?\n\"Answer: -130*n**2 + 10*n - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28\/224 + (-2 - (-5799)\/8).\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1305\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/6 - 4\/(-12). Let b be (-2)\/(-4)*(-3 - z). Is b less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 + 16*g + 24. Let l be h(-4). Let d(k) = 14*k - 20*k + 3 + 3 + 10*k. What is d(l)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let q = 9 + -5. What is the second derivative of -5*t**4 + 0*t**q - 2*t + y*t**4 + t wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7 = -4*b - 0*b, 20 = -4*b. Let f(r) = 3*r - 13. Let l be f(8). Let a = l - x. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 23, -55, -2, -4 in descending order.\nAnswer: 23, 1, -2, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - h - 28, 26*z + 19*h - 20*h = -96 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5*(-4)\/(-10))*1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20.37 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3792 - -68.8192. Let b = 269.66 + z. Round b to the nearest 10.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 5, -2, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-165)\/(-90) + -2)\/((-190)\/(-27) + 441\/(-63))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(8\/3))**(2\/23) assuming t is positive.\nAnswer: t**(16\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/77 - 10\/11. Which is the nearest to 0.1? (a) k (b) 0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 75*n**2 - 449*n - 18. Let j be q(6). Is j <= -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 835188642 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3609 times -14.12\nAnswer: 50959.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/42)\/(72\/15). Let l = m + 3191\/1232. Calculate the common denominator of 97\/2 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -512, -1, -849.\nAnswer: -849, -512, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -5*y**3\/6 - 2*y**2 + 755*y + 1. Let i(u) = -2*u - 2. Give 5*i(z) - 3*r(z).\nAnswer: 5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2331 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 5 + 15. Let j = 7 - 5. Suppose p*q + 0*h - 49 = -h, -j*q - 2*h + 32 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*b - 3408 = 0, b = -2*i - 3*i + 8524. What is the remainder when i is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.089 and 1083.\nAnswer: 1082.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 d when four letters picked without replacement from drrqdrqr?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 253*f**3*x**3 - 272*f**3*x**2 + 27*f**2*x**3 + 12*f**2*x**2 wrt x.\nAnswer: 1518*f**3 + 162*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydydyyyyyyd. Give prob of sequence yyy.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*p = -3 + 2, -2*p + 3 = -5*q. Let x be (-4)\/q - (-15 + 6). What is the greatest common divisor of 117 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 416970358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194177617?\nAnswer: 503, 386039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -8, 0.05, 4, -3, 135?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3549.8702 to the nearest 10.\nAnswer: 3550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4 + 95*v**2 - 16*v.\nAnswer: 12*v**2 + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 658185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 15, 2341*m + 14*s = 2343*m + 78 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1350809237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 566 = -18291. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/7 + -5*(-5 + 4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 4, 6\/23, -4, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/9096 and 85\/744.\nAnswer: 281976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20221 + 0?\nAnswer: -20221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*-6 - -1. Suppose -n = -t*n + 52. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**4\/12 + j**3\/3 - j**2. What are the prime factors of d(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 560*z - 629. Give f(1).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2292, 4507, 6674, 8787, 10840, 12827, 14742?\n\"Answer: -j**3 - 18*j**2 + 2276*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**3 - 16127*k**2 + 14*k + 197.\nAnswer: -12*k - 32254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.15104091 to two decimal places.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 758*x + 1242*x - 2.\nAnswer: 484*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.006, -11, 0.4, 0, -1 in descending order.\nAnswer: 0.4, 0, -0.006, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*h + 182427*h**2 - 74*h - 38138*h**2.\nAnswer: 144289*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*u + 2473 + 10472 = -1652 - 3323 for u.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 34831?\nAnswer: -34835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*950\/(-1140). Which is the biggest value? (a) -2\/13 (b) l (c) 2\/7 (d) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308 (base 12) in base 16?\nAnswer: 1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**2\/2 + w. Let k(o) = 3*o + 6. Let v(z) = k(z) + 6*q(z). Determine v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2022\/37691 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*n - 104 + 51 + 53 + 616*n to s*n + c and give s.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 8. Let v(u) = 8*u - 33. Let z(n) = -9*r(n) - 2*v(n). Let d be z(4). Solve 0 = 4*m + d + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -42, -43, -46, -51?\n\"Answer: -y**2 + 4*y - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -172*o**4 - 10*o**3 + 242*o - 135313003.\nAnswer: -688*o**3 - 30*o**2 + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z + 5*o, -o - 3 + 1 = z. Suppose 0 = z*u - 179 + 155. Solve 8*a = 14*a + u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95412.\nAnswer: 2, 3, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*r. Solve 2*v + 0*w - 4*w + 8 = 0, r = 2*v - w + 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 14 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 558 + -197. Let z be 4\/22 - c\/(-11). List the prime factors of 3\/(27\/6)*z\/1.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 32*k**2 - 155*k - 4422. Is q(-34) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29156 divided by -2603.\nAnswer: -29156\/2603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2035.1?\nAnswer: -2033.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.18 + -0.82. What is the closest to m in -5, 0.4, 0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 4*x - 5 = 0. Suppose -4*r - x*h = -3 - 13, 2*h = 0. Let z(w) = -w + 0*w + 3*w + r. Give z(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -13. Let v be 12\/7 - j\/(-21). Find the third derivative of 3*r**3 + 0*r**3 - r**2 - r**v + r**2 wrt r.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16512 is divided by 3296?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.1, 3\/2, -3, 5, -2, 616?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r**2. Let v(c) = -2*c. Let p(d) = d + 0*d + 10*d. Let z(o) = -6*p(o) - 34*v(o). Give z(y(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54155903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -5b18518?\nAnswer: 5b18514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85616 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s. Let a(i) = i**2 + 1. Let t(c) = -44*c**2. Let q(j) = a(j) + t(j). Give q(f(g)).\nAnswer: -387*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 21 + 6. Solve 2*y = -5*t - y + r, -2*y - 1 = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -65, -67, -73, -83, -97, -115, -137?\n\"Answer: -2*b**2 + 4*b - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - (15 - 15)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + 2)*(-3 + 4 - 3) + (-14 - 11 + 7)*(-2 - 3 + 4))*(0*s**3 + 3*s**3 + 0*s**3) to a*s + d*s**3 + y*s**2 + o and give d.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 124*z - 18. Let t(m) = 2*m. What is v(t(l))?\nAnswer: -4*l**2 + 248*l - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7319 and 1885?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739729?\nAnswer: 43, 17203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - g**2 - g + 1. Suppose 10*h - 20 = -0. Let r be u(h). Let 5 + 5*x**3 - 4*x - 7*x**2 - 1 - x**r + 3*x**2 = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 33*l - l**2 - l**2 + 67*l + 22*l**3 - 15*l as b*l + g*l**3 + r*l**2 + t and give b.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24*-24.792.\nAnswer: -5.95008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4977?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681 = -17*r + 409 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 11 + -2 + -1. Let l = 325 + -262. What is the highest common factor of l and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*u - 9 = 0, 3*n - 16*u + 27 = -12*u. Let b(q) be the third derivative of q**5\/60 + q**4\/3 - q**3 - 2*q**2. Give b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**2\/5 - 63363*x\/5 + 443688\/5 = 0?\nAnswer: -21128, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*n = 106*n - 30. Let r(t) = 16*t**2 + 60*t - 19. Let m(a) = -3*a**2 - 12*a + 4. Let y(g) = 11*m(g) + 2*r(g). Is 5 a factor of y(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4\/2 + 1618*v**3 - v**2\/2 - 1618*v = 0. What is v?\nAnswer: -3236, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 8. Let s be (-1 - (-44)\/v)*2. Calculate the highest common factor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 3, -2465, -3\/7, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 154 + -49. Suppose -q - 2*q - 99 = 0. Let n = a + q. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 56 + 16. Let g be ((-12)\/s)\/((-2)\/(-36)). Sort 2, 3, g.\nAnswer: 2, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifteenth of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*i - 190*i - 9928 = -51*i for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11722 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**5\/40 + 13*z**4\/24 - 13*z**3\/3 + 59*z**2. Let v(l) be the first derivative of x(l). Let b(u) = 2*u**2. What is v(b(o))?\nAnswer: -6*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/9 + 370*k\/3 - 372 = 0.\nAnswer: -558, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/13 - 587216*b\/13 + 587218\/13.\nAnswer: -2*(b - 1)*(b + 293609)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -668\/5 - -134. Put j, 3, -6 in decreasing order.\nAnswer: 3, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a decade?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 - 13*a - 1. Let y(i) = -15*i**2 - 53*i - 4. Let r(v) = -22*n(v) + 6*y(v). Let h be r(-14). What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 29, 60, 113, 194, 309, 464, 665?\n\"Answer: i**3 + 2*i**2 + 2*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 316, 626, 936, 1246, 1556, 1866?\nAnswer: 2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 136.922 - 137. Let m = -1.4 + 1.5. Let k = m + s. Round k to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9218 - 9218.1. Which is bigger: y or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 - v - 1. Let j be w(-2). Let o be ((-2)\/(-16))\/(3\/6). Which is the second smallest value? (a) o (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 + -82. Let r = -3.94 + 4. Let m = -3.94 - r. Which is the closest to -3\/7? (a) x (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18238 divided by 169?\nAnswer: 18238\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/(-70))\/((-10)\/50). Which is the nearest to -1? (a) -6 (b) t (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 4. Suppose -l + m*l = 42. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-9)*6\/4. Calculate the common denominator of 151\/18 and 66\/(-8) - (d + 1).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 585868313 to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbshbhsssbsssbss. What is prob of picking 3 s?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 6 = -z, -2*w + 3*z - 16 = -5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1467310 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6238 - 12473\/2. Solve -24 - 99\/2*b**2 + 60*b - y*b**4 + 15*b**3 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/84)\/(30\/(-105))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 21*r**2 - 53*r + 63. What is g(18)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 - -7. Let l = 56 + f. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000391295 rounded to six dps?\nAnswer: -0.000391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 11809358.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82391 is divided by 2746.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26366379269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and -278?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5162 * -301.6\nAnswer: -155.68592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 13. Let l(z) = -2. Let r(f) = h(f) - 4*l(f). Let x be r(-4). Let b(i) = -i. Let p(w) = 6*w - 2. Give x*p(a) - b(a).\nAnswer: -5*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -0.03, 2\/25, 0.4, -684?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 8*g**2 - 47*g + 3. Let s be j(4). Suppose -s*x = 5*b - 2*x - 25, -5*b + 15 = 3*x. Solve -4*f - y + 3 = b, 0*f + 12 = 5*f + 4*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18034506 by -286262.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.444487766 rounded to four dps?\nAnswer: -0.4445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 + 6*i - 7. Let f(p) = -6*p - 10*p + 9 + 15*p. Let d be f(4). Suppose j + d = 2*j. Calculate q(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 786 and 605482.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*4\/(-3) - 0. Let t(r) be the second derivative of -3*r**4\/4 + 7*r**2\/2 + 7*r. Let p(a) = 5*a**2 - 4. Give i*t(f) - 7*p(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 1 - 6 = 5*d, -u + 13 = -2*d. Factor 0*t + 2\/11*t**u + 0*t**2 - 2\/11*t**4 + 0*t**3 + 0.\nAnswer: 2*t**4*(t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3*z**3 + 38786*j**3*z + 9*j**3 - j*z**2 + 15*j*z + 3*j + 3*z**3 - 52*z**2 wrt j.\nAnswer: -18*j*z**3 + 232716*j*z + 54*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5\/6 + 23045*x**4\/6 - 66687860*x**3\/3 + 1164054150*x**2 + 19210505760*x - 20352334464 = 0.\nAnswer: -14, 1, 66, 11496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -10*m + 35000. Let c be (-1 - 7*4) + -1. Let z be (c + -2)\/((-2)\/m). What is z rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/(-10) + (-60)\/(-300). Suppose 2 = -i - 5*n, -1 = -i - 7*n + w*n. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 9*x = 0. Suppose 3*j + x*j - j = 0. Is j less than or equal to 4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478681, 477589, 475771, 473227, 469957?\nAnswer: 465961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(7\/5)\/v**(-13) assuming v is positive.\nAnswer: v**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009558962 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/448 and -61\/320.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 19*z - 32. What is the greatest common divisor of z and 162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 175 = 5*b - 1104, 4*b - 737 = -3*h. Suppose -5*c = -3*x + 535 - b, -4*x - 3*c + 457 = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7.536 times -1733\nAnswer: -13059.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125253 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 + -29. Put 0.3, 5\/2, a in decreasing order.\nAnswer: 5\/2, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -688 (base 15) to base 9\nAnswer: -2022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4916\/9 + -546. What is the closest to -4 in 3, h, 0.5, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6103 (base 7) to base 10.\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 1. Let t be 1\/3*-9 - 21\/(-3). Suppose -2*p = 33*p - t*p. Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1091996 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: What are the prime factors of 252833?\nAnswer: 7, 19, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.218138491 rounded to four dps?\nAnswer: -0.2181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 4)*2 + sqrt(5))*3)**2.\nAnswer: 432*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*s = 8 + 4, -f + s = -6. Solve f*w + 6 + 4 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053 - 204*u - 145*u - 1056.\nAnswer: -349*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335100978?\nAnswer: 2, 3, 43, 563, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.297.\nAnswer: 0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 108300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 7*o**2 - 6*o + 3. Let h = -17 - -11. Let x be l(h). What is the third derivative of 0*z**x - 4*z**3 - 4*z**2 - 6*z**2 wrt z?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21.16 (b) 204 (c) 0 (d) 2\/5 (e) 4\/7 (f) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 2. Let d be p(-5). Suppose -4*c = -d*c + 18. Suppose 5*i = 2*a + 14, c*a - 4*i = a - 1. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.73982482+468\nAnswer: 469.73982482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -cb755?\nAnswer: -cb750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*k + 4*m, -3*k - 51 = -5*m - 65 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 27*w**3 + 31*w**3.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/220*(-15)\/(-6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-4)\/6 + 2). Suppose -4*g - g - 10 = 0. Is g at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.9 - 8.62. Let r = x - 0.28. Put 4, 5, r in increasing order.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-9)\/((-216)\/32))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) 0.1 (c) 6 (d) -3277 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10243986\/11 or 931272?\nAnswer: 10243986\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.8. Let h = -9.23 + 9.7. Let k = h - 4.47. What is the closest to v in 1, k, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**9\/3780 - j**7\/630 - j**4\/6 - 2*j**2. Let n(h) be the second derivative of q(h). Find the third derivative of n(z) wrt z.\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5562864975 to the nearest integer?\nAnswer: 74585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -99 in increasing order.\nAnswer: -99, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11668966 + -11668962.1099793. Let u = v + -3.89. What is u rounded to six decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35085?\nAnswer: 3, 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/14)\/(15 + 232\/(-16)). Factor -n*h**5 + 4\/7*h**2 - 4\/7*h**4 + 2\/7*h + 0*h**3 + 0.\nAnswer: -2*h*(h - 1)*(h + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(3) - 2*sqrt(3)) - (sqrt(243) + 1 - (sqrt(3) + sqrt(12)\/sqrt(4) + -2)**2).\nAnswer: -22*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 72*w**2 + 4*w + 293. Let q be k(-72). Solve 0 = -q*y + 5*g - 10, y - 18 = -4*y - 2*g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/(-4))\/7 + 605\/20. Let p = 6 + x. Calculate the smallest common multiple of p and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 702*o - 23143. Calculate h(33).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1, -22?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39*r**3*w**2 - 22*r**3*w - 4263*r**3 wrt w?\nAnswer: 78*r**3*w - 22*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 1. Let p = 4 + -5. Let z be g(p). Suppose -c + 29 = 5*y, y - 3*c + 7 + z = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/814 and 45\/6512?\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -37 + 6 + 1*20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/(d*d**(-4)))\/d)**(33\/5))**(-23)\/(d**(2\/5)\/d**(-2\/9)*d*d\/(d*d\/(d*d**(4\/9)))*d**(-7)) assuming d is positive.\nAnswer: d**(-9034\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23875, 23902, 23927, 23950, 23971?\n\"Answer: -s**2 + 30*s + 23846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6.18*0.2\nAnswer: 1.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 8*i**2 - 4*i - 1. Let a(h) = 5*h**3 + 4*h**2 + 6*h + 3. Calculate -a(x) - 3*z(x).\nAnswer: -2*x**3 - 28*x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -11. Let d(y) = 2*y + 5. Let l be d(z). Suppose -l = 2*h - 47. Solve 0*g = 5*g + h for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 x when four letters picked without replacement from ltxxubxbuxxxux.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 926 = 9*c + 872 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 89422864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(4\/9))\/h*h*h**(1\/10)*h*h\/h**4*h*h*h**(-1\/6) assuming h is positive.\nAnswer: h**(62\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13914 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -8. Solve 5*h = y - 13, -4*h - 4*y - c = -h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4 = -24. Let l(u) = 3*u - 11 + u - 3*u. Let x be l(k). Sort -5, x, -1 in ascending order.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5020.999996749 + -5021. Round f to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 0, 10*f + 30 = 5*f + 4*p for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 205\/(-30) + 45\/54\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4392 is divided by 1461.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12716477 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: Let o(n) = -99*n. Let r(t) = 347*t**2 - 8*t + 24. Give o(r(p)).\nAnswer: -34353*p**2 + 792*p - 2376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.6658 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0112575 rounded to four dps?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*a - 527*a - 5296 = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from yjpjypjppjrupyc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/757001 and 79\/97108?\nAnswer: 33308044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/7 - 195690*b**4\/7 + 4787311184*b**3\/7 - 23930098536*b**2\/7 - 5470430080*b + 57435993600\/7 = 0. Calculate b.\nAnswer: -2, 1, 6, 48920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.149, -2\/7, 170\/11 in decreasing order.\nAnswer: 170\/11, 0.149, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3954014 is divided by 1977001?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a**2 - a - 5. Let y be l(0). Sort y, 12, 6.\nAnswer: y, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 131. Let m(g) = 41*g - 5. Let h(q) = 8*q - 1. Let x(t) = 5*h(t) - m(t). Determine c(x(y)).\nAnswer: -y + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -308*m + 110. List the prime factors of x(-6).\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/5 and 1\/3422?\nAnswer: 17110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(1331) - (sqrt(1331)*2 + -2)) + -2*sqrt(1331)*2)**2 - (-5 + 1*sqrt(1584) - -2*(sqrt(1584) - (0 + sqrt(1584)))**2)).\nAnswer: -232*sqrt(11) + 33286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 398745 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 + 1. Let q(z) = -5*z**2 - z + 14. Calculate -2*b(f) + q(f).\nAnswer: -2*f**3 - 3*f**2 - f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -k + 26, 19 = -0*k + k + 3*b. Let s(t) = 4*t - 56. Calculate the lowest common multiple of s(21) and k.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70106149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 24. Suppose -q + 139 = 4*f. Calculate the remainder when 80 is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3991 = -306*h - 12378 + 151 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6577453.\nAnswer: 17, 37, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1051425 + 51?\nAnswer: -1051384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 21*s + 30. Determine x(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 243?\nAnswer: 72.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) -2\/11 (c) -2\/9 (d) -74\/11 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1577 - -24047?\nAnswer: 25624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + -13 + 33 - 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 9 (b) 2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.10537975 and -190.\nAnswer: -190.10537975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14735*b + 14688*b + 59737. What is the greatest common divisor of b and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jssisxxjijsjjujis. Give prob of sequence sxxs.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -6*k**2 - 3*k - 3. Let m be h(-2). Suppose -m = -2*x + 7. What is the remainder when 41 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c - 81. Let l(q) = -2*q + 18. Let j(n) = 4*f(n) + 18*l(n). Let p be 2\/((4\/(-5))\/(-4)). Let o be ((-2)\/(-5))\/(4\/p). What is j(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 5*h**2 + 15*h - 2. Let g be j(7). Suppose 12 = -2*i + 6*i, 5*c + 4*i - 62 = 0. Solve 3*q + g = -c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 9*j = -68 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4174*6.\nAnswer: -25044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.8 - 0.2. Let j = d - 52. Let c = 59.99999957 + j. Round c to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -2*h - 7 + 8, 6*c + h = 27 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -9*h - 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -403286 divided by -201643\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -569145 divided by 29955.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 4:41 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1616 and 8515376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3 - 38. Let s(i) = -2*i**2 + 81*i + 48. Let h be s(q). Solve h*y = 3*y + 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 d when three letters picked without replacement from zzxzxzzdzwzdzdxzxzdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 13) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 434*s + 5083. What are the prime factors of d(31)?\nAnswer: 3, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/5 (b) 3 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*g*v**3*z - 10*g*v**3 + 113939*g*v**2*z + 130*g*v**2 + 50*v**3*z - 581*v**3 + v**2*z wrt v.\nAnswer: -42*g*z - 60*g + 300*z - 3486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-3 + 2) + 2. Let q = -75 - -138. Let f = q + -48. Calculate the greatest common factor of r and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*y + 88*y + 96*y**3 - 1217*y**3 as d*y**3 + j + w*y + p*y**2 and give d.\nAnswer: -1121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.85 and 15337.\nAnswer: 15333.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/8*((-129)\/135 + 1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 194506.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/168*8\/(-12)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 74*a**2 + 5*a + 5. What are the prime factors of n(-2)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdaccdcdcebdbdddccdd. What is prob of picking 2 c and 1 d?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1216 and 76?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(z**2 - z**2 - 2*z**2) + 14 + 10*z**2 - 14.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.056 + -0.116. Let b = t - -0.17199859. What is b rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + 23503*i - 49*i**2 - 23503*i + 69*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*f = 3*f + 6, 0 = -3*q - 4*f - 19. Let y = -36\/11 - -111\/44. Are q and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from rmrtvrmmxrxxjxr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6669 and 181051.\nAnswer: 4888377","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -278*l**2 + 13*l + 4. Let k(x) = 557*x**2 - 22*x - 7. What is -4*k(b) - 7*p(b)?\nAnswer: -282*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*70.71\nAnswer: 70.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 n, and 2 b when four letters picked without replacement from {l: 1, j: 8, n: 1, b: 6, p: 1}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11\/1491 - -2795\/25347. What is the third biggest value in 0.2, 2\/21, -10, z, 5\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 g, and 2 o when four letters picked without replacement from bojddgmdgboogod?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212539.\nAnswer: 257, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -516*l + 119271 + 2930*l - 119271 + (-2 + 2 - 2)*(-l - 3*l + 3*l) in the form w + a*l and give a.\nAnswer: 2416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 20*g**2 + 4*g - 34. Let d be i(-23). Let x = d - 679. Suppose -4*u - u - 5*q = -980, -4*u - 5*q + x = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62699 and 2292.267.\nAnswer: 64991.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 360*s**2 + 3*s - 1. Let z be 6\/(-9) - 7\/((-63)\/24). Let o be m(z). Find the third derivative of -o + 31*l**3 - 9*l**2 + 1445 wrt l.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190 divided by -170.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -640, 5, -184, -2, 1 in decreasing order.\nAnswer: 5, 1, -2, -184, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006311 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m**2 + 6*m - 7. Let q(k) = -9*k**2 + 7*k - 8. Let g(u) = -u - 7. Let b be g(-5). Let f be (-28)\/(-16)*b*-2. Give f*y(o) - 6*q(o).\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 529674*j + 23379545523.\nAnswer: 3*(j + 88279)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3124610 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -49*p**3\/6 + p**2 - p + 8. Is 25 a factor of r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-21)*(o*o**(-5))\/(o*o*o**(2\/9)*o*o) assuming o is positive.\nAnswer: o**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -15*z + 509. Let o be l(21). Are 191 and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 60*l**2 + 5*l - 60.\nAnswer: -5*(l - 12)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 39, 227, 757, 1803, 3539, 6139, 9777?\n\"Answer: 29*c**3 - 3*c**2 - 6*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k - 3*k)*(3 + 0 - 1) - 150*k - 430*k + 355*k + 2*k - 7*k + 4*k.\nAnswer: -230*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11836 - -19928. Does 34 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289683.66 months to decades.\nAnswer: 2414.0305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3 - 84022*n**2 + 1769285153*n - 183097998824 = 0. What is n?\nAnswer: 104, 41959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2. Let p(c) = -3*c**2. Let g be 9*-1 + (4 - 1). Calculate g*w(m) - p(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 12*v**3 - 12*v**2 + 33*v + 262. Is 29 a factor of n(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -35. Let c be (-20204)\/(-24) + v\/(-18). Suppose -3*s + 2*r - c = 172, 0 = 5*s - r + 1697. What is s rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/35, 4, -284, -2\/5?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erre when four letters picked without replacement from reerrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 294 + 40. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 + 24 - 29)*(-14 + 0 + 1)*((-3 + 8 + 10)*(-2*a**2 + a**2 + 2*a**2) + (1 - 1 - 2*a)*(3*a - 3*a - 2*a)) in the form f + j*a + g*a**2 and give g.\nAnswer: 7410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 486205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222082.\nAnswer: 2, 7, 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6704\/(-80))\/((-2)\/10). Let g = -348 + z. Calculate the remainder when g is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - j**2 - 3*j + 0*j**2 + 4*j**2 + 3*j**2 + (3 - 3 - 2*j)*(0*j + 4*j - 2*j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2)*16\/(-32)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 417, 151, -14, 2.\nAnswer: -14, 2, 151, 417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/9 and (-3*(-3)\/9)\/((-6516)\/84)?\nAnswer: 1629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 9\/3 - 5. Let k be -3*(1 - 70\/h). Let y = 59 + k. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -416.11 - -415.72. Let c(a) be the third derivative of -a**6\/120 + a**5\/12 + a**3\/3 - 2*a**2. Let v be c(5). Do v and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 = -8*h + 14*h. Factor 0*s**2 + 140 + h*s - 302 - 2*s**2.\nAnswer: -2*(s - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 8*o - 7*o - 5*z, -16 = 2*o - 3*z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5005)\/(-117) + (-4)\/(-18). Suppose -4*a = l - 7. Let i(v) = -v**2 - 11*v + 12. Let u be i(a). What is the highest common factor of 330 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7, 394 in descending order.\nAnswer: 394, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-16 - -18 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 4974592.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1*1 + 7. Let w(v) = -i*v**3 + 0 - 3 + 1. Let o(u) = -2*u**3 + 8*u**3 - 142*u + 3 + 68*u + 74*u. Give 2*o(r) + 3*w(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -218, -116, 64, 328, 682, 1132?\n\"Answer: v**3 + 33*v**2 - 4*v - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 + 4*b**2 + 46*b - 44. What is r(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 55 - 62 = 5*f, 2*p - 3*f - 77 = 0. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by -268\nAnswer: 61\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2889 and 13851?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmnm when four letters picked without replacement from mmnmmmmnmmmmm.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162839066 is divided by 521.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -20*k + 1. Is x(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 - -290. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.188.\nAnswer: 0.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 10:49 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136b (base 16) to base 9.\nAnswer: -6733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 16*r**3\/3 + 8*r - 25. Find the first derivative of n(u) wrt u.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 134*n**2 - 3193*n.\nAnswer: -n*(n + 31)*(n + 103)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-9 + (3 - 5))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 814138 a multiple of 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.06, -173.64.\nAnswer: -173.64, -5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69054967*a + 26*a**3 + 69054967*a - 29*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 577717343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 58314 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzz when three letters picked without replacement from nnnzjnjzn.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 1. Let j be -3 - (-2)\/(6\/9). Let y be 1*(j + 2 + -1). What is the units digit of v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-11626.\nAnswer: 10463.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001452968 rounded to seven decimal places?\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010 - -11000001110011?\nAnswer: 11000101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**2 - 6*b**4 + 6*b**2 - 20*b**2 - 4*b**3 + 7*b**2 as m + p*b + c*b**2 + v*b**4 + y*b**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2452*d - 2399*d + 1749 = 0 for d.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 10*x**2 + 10*x - 7. Let o be u(9). Let g be 40\/(-8) - (-24)\/o. Solve 0 = g*l - 2*l - 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 139*n**3 + 3*n**2 + n. Let w(v) = v**2 + v + 1. Let k(x) = s(x) - w(x). Let z be k(1). What is the greatest common divisor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 3*j + 0*j)*(1 - 4 + 1) + 3*j + 2*j - j - 77485 - 77486 + 154971 + 14362*j as o*j + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 5*c**2 - 8*c**3 + 6*c**3 + 2*c + 2*c**4.\nAnswer: 2*c*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -763899, -1527794, -2291685, -3055572?\n\"Answer: 2*i**2 - 763901*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -1 + 4\/(-26). Let c = 363 - 215. Let q = -149 + c. Is q at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.00234, 16\/35, -2\/11 in descending order.\nAnswer: 16\/35, -0.00234, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j**2 + 26*j - 112. Let c be q(4). Calculate the highest common factor of c and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15087920 greater than or equal to -15087919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - p + 6 = 9*c, -c = 21*p + 129 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*d**3 - 162*d**3 + 42*d**3 + 50*d**3 + 54*d**3.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2074 and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/3, 957, 5, -4\/11, 2, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/12 + 4 + 0\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + w - 4. Suppose 10*q - 15 = 5. Let f be t(q). Solve f*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4772703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/47 + 59\/329. Which is the biggest value? (a) p (b) -3\/11 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 1. Let q be x(-2). Suppose 4*y - 8*y = 3*v - 8, 5*y = -v + 21. Is q greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 24*u - 69. Determine i(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-14))\/((4\/(-2))\/14). Let n(w) = -4*w**3 - w**2 - 4. Is 6 a factor of n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 16*u**2 + 3. Let r be q(16). What is the greatest common divisor of 33 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(10\/15) + 33214 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.79 and -135?\nAnswer: 129.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*t = -539*t + 3861 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2272*c**3 - 3*c**2 - 24202*c.\nAnswer: -13632*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6*r + 0)*(3*r**2 - 3*r**2 - 2*r**4) - r**5 + 3*r**5 - 3*r**5 + (-2*r**3 - r**3 + 2*r**3)*(5*r**2 + r**2 - 3*r**2).\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-1)\/(5\/20). Let q = -7 - -10. Suppose v - 264 = -q*t - 2*t, p*t - 108 = -v. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yala when four letters picked without replacement from {l: 4, a: 8, y: 5}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3148255?\nAnswer: 5, 11, 57241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 57026677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31286, -31273, -31248, -31205, -31138?\nAnswer: -31041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31415, 62829, 94243, 125657, 157071, 188485?\nAnswer: 219899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7b16 + 16?\nAnswer: 7b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyuyyyyu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/12 and -191\/1386.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.6 + 13.8. Which is the biggest value? (a) h (b) 1\/4 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13504064 divided by 56.\nAnswer: 241144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25193048?\nAnswer: 2, 17, 185243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1488 - 66. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1788128 = -32*u + 10010400. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/1288 and 93\/2114?\nAnswer: 194488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329651\/20 + 16486. Find the common denominator of 127\/6 and x.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*t - 3*f - 4 = -23*t, -f - 2 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 1. Let o be k(3). Let z = o - -17. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 5. Suppose 26 = w*x - j + 2, -5*x = 3*j - 47. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111100101011110 (base 2) to base 12.\nAnswer: 15b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/15 + 4\/(-6). Let a be (-166)\/y - (-9)\/(-15). Calculate the highest common factor of 16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4 - 72*o**3 + 3*o**2 + 218*o + 144.\nAnswer: -(o - 2)*(o + 1)**2*(o + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -25*w**4\/12 + 5*w**3\/6 + 848*w. Let j(v) = 12*v**2 - 2*v. Calculate 2*f(p) + 5*j(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + y. Let z be (-5)\/(-2 + (-30)\/(-14)). Let h be 45\/z - 4\/(-14). Let g be p(h). Solve 9 = -3*m + c, g*c - 4*c = -2*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.88 and 3.\nAnswer: -35.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542141, -1084256, -1626371, -2168486, -2710601?\nAnswer: -3252716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6408 by 6408.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d4240 + 0?\nAnswer: -d4240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -39\/2. Which is the closest to -0.3? (a) -1 (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 7*g**5\/30 + 6*g**3 + 4*g**2. Let y(l) = 7*l**2 + 18. Let h(o) = 2*a(o) - 5*y(o). What is the first derivative of h(i) wrt i?\nAnswer: -14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 210 + 534. Calculate the greatest common divisor of o and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 37448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 + -191. What is the closest to -1\/2 in n, -6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806938 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32460 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*t - 45*t + 11*t - 17*t as c + q*t and give q.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*h**2 - 23*h**2 - 8*h**2 - 3*h**2 - 2*h**2.\nAnswer: -52*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 4:40 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 66 - -47. Let u = 68 - h. List the prime factors of (-2)\/u*-5 - 56\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7618 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: Calculate prob of picking 3 i when three letters picked without replacement from aaaaaiaiiiaaia.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*k - 0*n + 2*n, 4*n - 16 = -4*k. Suppose k*z = 3*z - 6. Which is the biggest value? (a) 0.3 (b) -0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 421*c**2 - 14*c + 9. Let z be q(-19). Let a = -274556 + z. What is a rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 53*a + 39*a - 108*a for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**3\/3 - 7*p + 7. List the prime factors of y(-7).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 380 = -712. Let p = 25 - m. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7941 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42, 95, 174, 273, 386?\n\"Answer: -u**3 + 19*u**2 + 3*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -93. Let m = 848823218.9999937 + -848823339. Let w = m - u. Round w to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/52*45888\/17208?\nAnswer: 22\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwii when four letters picked without replacement from zpbibpmiw.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 6*n**2 + 13*n - 14. Let u be y(5). What is the first derivative of 41*d**2 + u + 98 - 61 wrt d?\nAnswer: 82*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3166 + -1569. What are the prime factors of v?\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -377, -445, -515, -587?\n\"Answer: -n**2 - 65*n - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttiqtltltqgglltltqt. What is prob of sequence lgg?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(306) + sqrt(306))\/sqrt(6))\/sqrt(3))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 147, 5, 0.4 in decreasing order.\nAnswer: 147, 5, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632756?\nAnswer: 2, 158189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/21 - 6\/7. Let t = -6.5 + 1.5. Which is the closest to 2\/5? (a) 5 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 143135.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2181793.\nAnswer: 191, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + n + 16 = -3*n, 0 = 3*h - n - 31. Solve d - h = 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1319, 1279, 1249, 1235, 1243?\nAnswer: 1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000156496789 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 18 = -5*g. Suppose -2*t - 5*u + 23 = t, 3*t - 43 = -u. Let j be t\/3 + (-6)\/g. Solve -5*r - j + 0 = -b, r = 2*b + 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11597, 11579, 11551, 11513, 11465, 11407?\nAnswer: 11339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**2 + 339*m - 2549. Give s(105).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -46. Is -0.2 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 4 - 1 + (-3 - 2 + 6)*(4 + 2 - 3))*(2 - 2*j - 2*j + j) to q*j + v and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 720 and 2340.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in sixty-four fifths of a millennium?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -835*z = -824*z - 121 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -158*-7*5\/420 - 15\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 0*o**4 + 5*o**4 + (-2 + 2 + o)*(-o**3 - 2*o + 2*o) + 4*o**4 - 5*o**4 + 4*o**4.\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3 + ((sqrt(231)\/sqrt(11))\/sqrt(3) - (sqrt(63)\/(sqrt(9) + sqrt(99)\/sqrt(11)))**2) + 3.\nAnswer: sqrt(7) + 13\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.34 + -210.66. Let i = v + 212.00333. What is i rounded to 4 decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - p - 20 = 0, -3*q - 5*p = 2*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166 - -286. Suppose c - 6*c = -d. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*j + j. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6 - 4) + (-1889)\/4. Let i = f - -464. Calculate the common denominator of -83\/4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 2 - 2)*(-3059*i + 5529*i - 2908*i)*(0*i - 2*i + 3*i) to the form o*i**2 + a + h*i and give o.\nAnswer: -2628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(1\/3)*u)**(-50)*u\/(u\/u**(3\/5))*u**(-1\/10) assuming u is positive.\nAnswer: u**(-797\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 divided by -287353.\nAnswer: -118\/287353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (131 + -67 + 56)?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 854 = -834. Put h, -2, 3, -5 in increasing order.\nAnswer: -5, h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -19898*g**2 - 20*g - 19. Let y be x(-8). Let b be (2\/(4\/5426662))\/1. Let t = y + b. What is t rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2202134 (base 5) in base 15?\nAnswer: -b2e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 a factor of 1164800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*s + 597*s**2 - 32*s - 284*s**2 + 2*s**4 - 281*s**2 + 26*s**3 - 4*s**4 = 0.\nAnswer: -2, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -93. Suppose 5*y - 3*n = 1880, -y + z*y = 5*n + 771. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**11*c*c**(-6\/5)*c)\/(c**(-16)*c*c*c**(-1)) assuming c is positive.\nAnswer: c**(134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3 = g, -g - 2*i + 7 = -3*i. Suppose -5 = -s, g*o - 2*s - 3 = -s. Let r = 4959.5 + -4960. Which is the second smallest value? (a) r (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14656 and 45376?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.49895um in nanometers?\nAnswer: 23498.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -931 - -926. Put -0.3, 21, v in ascending order.\nAnswer: v, -0.3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 3*b + 1\/4*b**4 - 12 - 1\/3*b**3 - 1\/20*b**5 + 2*b**2. Determine f(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**3 - 38290*i**2 + 38305*i + 76590 = 0.\nAnswer: -7659, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69169620 rounded to the nearest one million?\nAnswer: 69000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7891 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -3, 4, 19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 19. Calculate p(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347710 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 21112.5*-0.252\nAnswer: -5320.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -2 + (sqrt(425) - -1*sqrt(425)))**2 + sqrt(136)\/(sqrt(8) + sqrt(896)\/sqrt(7)) + 1.\nAnswer: -299*sqrt(17)\/5 + 3830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32238263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 10*v. Let n(q) = 323*q + 82*q - 45*q. Calculate n(z(i)).\nAnswer: 3600*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - w + 483 + 159 - 118*w**3 + 0*w**2.\nAnswer: -118*w**3 - w**2 - w + 642","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 + 0*b**3 + 3*b**3 + (-38*b**2 - 52 + 52)*(2*b + 2*b - 2*b) in the form n + u*b**2 + o*b**3 + x*b and give o.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuuzuuuuuusbsbuubs. Give prob of sequence utbs.\nAnswer: 11\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(29241\/18 + -11).\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107728 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 2*z - 4. Suppose z*k = -0*k - 10, -s = -4*k - 22. Factor 0 - r**3 + 1\/3*r**s + r**4 + 0*r - 1\/3*r**5.\nAnswer: -r**2*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h + 2*h - 4*h)*(-2 + 4 + 3) + (-9 - 21 + 7)*(-16*h + 24*h - 14*h) in the form a*h + x and give a.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**2\/5 - 37344*y - 7280559\/5 = 0. What is y?\nAnswer: -186681, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*3\/207*23. Is 99\/152 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6550*g - 1587*g - 929659 - 54918 = 0 for g.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46981 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Let y be k(-1). Suppose -1215 - 1280 = -4*h - q, -q + 3118 = 5*h. Suppose y*i - h = -109. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -144 - 4310302?\nAnswer: -4311001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1435, 1401, 1355, 1291, 1203, 1085, 931?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000038802 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -16295328?\nAnswer: 16295330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 f, and 1 y when three letters picked without replacement from wcggfyggfg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 834 = 270. What is the remainder when 780 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 2*l - 4*a + 16, 2*l = 3*a - 11. Suppose 3*r = -k - l*r + 10, k = 5*r - 20. Let t = 8 + k. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s + 1340 = 0. Let u = 628 + s. Is u a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 + u - 2. Suppose -4*c - 16 = -6*c. Suppose 4*f = 16, c + 8 = 2*h + 3*f. Let i(p) = -7*p**h + 11 + 4*p - 14 - 2*p. What is -3*a(g) + 2*i(g)?\nAnswer: 4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence czc when three letters picked without replacement from iciirizccicczciic.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*p - 75*p + 12*p**4 + (-2*p + 2*p**3 + 2*p)*(p + 3 - 3).\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**(-8))\/(v**0\/v)**(-22) assuming v is positive.\nAnswer: v**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 3*h + 6. Let y be v(-4). Suppose -2*z + y = -0*z. Suppose 6*q - 39 = -21. Solve q = -2*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 173*c - 1332. Let s be i(7). Which is bigger: -81 or s?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24222 + 24221.3. Let q = -9 - -4. Which is the closest to n? (a) 4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26.141*0.29\nAnswer: -7.58089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18610907059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/77 or -1642795?\nAnswer: -1642795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83 + 8*l**3 + 5*l**6 - 2*l**2 + 8*l**2 + 82 wrt l.\nAnswer: 600*l**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53.3 + 53. Which is the closest to -2? (a) -0.2 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -4*l - 278, 5*l - 2*q + 356 = -0*q. Let p = -58 - l. Solve -1 = 3*k + p for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 231145, 232195, 233233, 234253, 235249?\n\"Answer: -x**3 + 1057*x + 230089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315 + 1791\/5. Let p(m) be the first derivative of -6*m**2 - 291\/4*m**4 + o*m**5 + 0*m + 36*m**3 + 2 - 8*m**6. Factor p(r).\nAnswer: -3*r*(r - 2)**2*(4*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 4}. Give prob of picking 3 i.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 22*d - 85.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.63 + 1.73. Which is the closest to 4? (a) r (b) 2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 25 (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9609309, 19218623, 28827937, 38437251, 48046565?\nAnswer: 57655879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*f = -207*f - 204. Let k(x) = 11*x + 27. What is k(f)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -19. List the prime factors of ((-4)\/(-16)*4)\/(n\/(-124)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -91*q - 2. Let p be ((-12)\/(-30))\/((-2)\/10). Let m be j(p). Suppose -3*a + m = 2*b + b, -b - 105 = -2*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 74169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4919900 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/8139 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 - 28. Suppose -3*a + 4*b - 67 = 2*a, a = b - 13. Let s be 6\/5*(-10)\/a. Put g, s, -5 in increasing order.\nAnswer: -5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327 = -x + 4*o, 5*x - 867 = -3*o + 722. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -6.86 (c) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x - 246. Let b be i(-6). Let t(f) be the second derivative of -5*f + b + 0*f**3 - 1\/8*f**4 + 0*f**2 - 3\/20*f**5. Factor t(v).\nAnswer: -3*v**2*(2*v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135995 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4601*u + 18679. Determine s(-4).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**3\/3 + t - 16. Suppose -4*y = 2*l - l + 10, 8 = l - 2*y. Let o(g) = -g**2 + 0*g**2 + 6*g**2 + l*g**2. What is x(o(i))?\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.02 + 0.02. Let z = -1 - 2. Is z > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 11:44 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {p: 1, e: 1, w: 1, s: 1, v: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 10*l**2 - 10*l + 26. Let q(y) = y**2 - 21*y + 11. Let f be q(20). Does 19 divide v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -12 + (-2340)\/(-105)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00023732 rounded to 5 dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 23. Calculate the remainder when 26 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*m = -100*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3291? (a) 4 (b) 1\/13 (c) 247\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/45*54 - (-7824)\/(-435).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182\/45 - 4117\/495. Let c be 6\/30 - 10792\/210. Let z = c + 321\/7. Calculate the common denominator of t and z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*t - 464 - 837, 5*t + 4*m = -1627. Let a = -3227\/10 - t. Find the common denominator of -49\/15 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -106*s + 4. Let c(d) = -d - 5. Let m be c(-3). Let l be p(m). Suppose -92 - 16 = -k + 5*v, -l = -2*k - 4*v. Is k a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 4*i = 12, -2*i + 5 = -3*u + 21. Suppose -u*q + 2 = -62. Solve s = -3*s - q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 3 + (-21 - -13). Which is smaller: -129\/41 or f?\nAnswer: -129\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -385170\/133 - -2896. What is the third smallest value in -2, r, 2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -1.1 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -652*d**4 - 2*d**2 + 651*d**4 - 3 - 5 + 6*d**2 + d**3 to h*d**4 + z*d**2 + p*d + q*d**3 + t and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from ffvbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 16 + 7*w + 7 + 13*w + 6*w**2 to the form z*w + n + c*w**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 130100 (base 9) to base 3\nAnswer: 11000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*s + 2*s + 229 = 0, -7*s - 4*s + 22 = 0 for q.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2750275 - -2?\nAnswer: -2750273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2385)\/21)\/3 - 4. Let t = z - -43. Which is greater: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8416)\/2367*36\/(-20).\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -53.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -175*u + 3094 - 1169 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-5*k**2 - 7*k**2 + k**2 + (4*k - 3*k + k)*(-k + k + 2*k))*(2*k**3 - 5*k**2 + 5*k**2).\nAnswer: 42*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79 + 8 - 2887*g**2 - 87 to j*g**2 + s*g + d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/9 + 3652*v**3\/9 + 9770*v**2\/3 + 62336*v\/9 + 36680\/9 = 0.\nAnswer: -5, -2, -1, 1834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*s - 53*s + 26*s - 7992 = 0 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, i: 2, l: 2}. Give prob of picking 2 i.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/7111757 and -47\/12261650.\nAnswer: 355587850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25012 - -25?\nAnswer: 25040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136894 + -1959. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-3)\/10)\/((-5)\/25).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 7*u - 15. Let r(b) = -279*b - 1961. Let g be r(-7). Give v(g).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64053.\nAnswer: 3, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x = 880*m - 875*m - 2*x - 10, 5*x = 4*m + 55 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m)*(-2 + 1 - 2) - 1 + 2*m + 1.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -25132 less than -5?\nAnswer: 25127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3970\/7 + -566. Find j, given that 2\/7 - 10\/7*j + f*j**2 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (463 - 462 + 430)*(h**3 + 8*h - 8*h).\nAnswer: 431*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of v**7\/168 + v**6\/10 + v**5\/8 - v**4\/4 - 11*v**3\/24 + 2526*v. Suppose i(s) = 0. What is s?\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 1. Suppose -29*j - 33*j + 62 = 0. Let f(i) = i + 10. Calculate j*f(m) - 6*b(m).\nAnswer: m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2522 + 1265 - 3*q**2 + 2*q**3 - 6*q**2 + 1266. Let s(l) = -l**2 + 1. Let w = 3 + 1. What is w*j(x) - 36*s(x)?\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -211, -230, -271, -340, -443, -586, -775, -1016?\n\"Answer: -b**3 - 5*b**2 + 3*b - 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - 8, -222 = -5*o + 69*c - 205 + 254 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5687160 to the nearest one hundred thousand.\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 21*z - 18. Suppose -4*c + c = -4*x - 30, -2*c + 5 = -x. Let v be a(x). Suppose w = -v*w + 550. Is w at least 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 270903644.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 847044322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 410*x + 405.\nAnswer: 5*(x - 81)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220\/(-40)*2 - -150 is divided by 42 - (2 + -2)\/1.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-90))\/(64\/(-1440)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30642 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11478 - 4971. Find the second derivative of -w + 51*n + 6507 + 15*n**5 wrt n.\nAnswer: 300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223528203.\nAnswer: 3, 2801, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**4\/7 - 689*x**3\/7 + 17182*x**2\/7 + 5304*x = 0.\nAnswer: -2, 0, 28, 663","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 9\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 38*w + 76. Let q(i) = 194*i + 352. Let n(x) = 3*q(x) - 14*z(x). Let b(c) = 17*c - 3. Determine 8*b(r) - 3*n(r).\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 12*u**2\/5 + 101*u - 2604\/5.\nAnswer: -(u - 12)*(u - 7)*(u + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 4049?\nAnswer: -404c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*k - 53 + 53 + 12*k**4 + 4*k wrt k.\nAnswer: 144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*o + 176*o - 1323 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**4 - 15*f**3 + 2 - f**2 - 10*f**3 + 21*f**3 to the form a*f**2 + v*f + z*f**4 + q*f**3 + y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cxuzqqru. Give prob of sequence ucxu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-117) + (-1174)\/(-26). Is (-2)\/(60\/(-9206)) + 6\/f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -526 = -305*k + 1981 + 1458 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/11 - 28\/(-154). Solve -3*k - q = -10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130549\/12 + 10887. What is the common denominator of -19\/66 and x?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*-2*sqrt(972) + sqrt(972))**2 + -1 - ((2*sqrt(288))\/sqrt(12))\/sqrt(800).\nAnswer: -2521*sqrt(3)\/5 + 47631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002622 to four dps.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 431, 931, 1765, 2933, 4435, 6271?\n\"Answer: 167*s**2 - s + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 102, 238, 440, 714?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 6.7362?\nAnswer: 6.7362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/(sqrt(10)*1) - sqrt(7)) + 5 - (sqrt(7) + sqrt(63)*-1 + 1))**2.\nAnswer: 16*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, -2\/17, -28, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 20*y**4 + 59768*y**3 + 1952784*y**2 + 6558088*y - 8570660 = 0.\nAnswer: -14777\/5, -29, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1088, 3389, 7228, 12605, 19520, 27973, 37964?\nAnswer: 49493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Suppose 5*y - 2*t = 3*t + 10, 2*y - t = 4. Let x(g) = -g**y - 2 + 2*g**z - 3. What is x(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-6 + 25 + -12 + 2 + -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18856697*q**2 + 9557929?\nAnswer: 37713394*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 - o**3 - 5*o**2\/2 - 7. Let s be b(5). Solve 4*v = -v + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2)**(2\/145)\/(u**19\/(u\/((u**22*u*u)\/u))) assuming u is positive.\nAnswer: u**(-5941\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31971, -31973, -31977, -31983, -31991?\n\"Answer: -l**2 + l - 31971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -120*k - 1086. Give g(-7).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 7 - (15 + -12 + 14)) + 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100 - -10010111100110010?\nAnswer: 10010111010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120*f + 1732 - 1732 + (2 - 4 + 0)*(-2*f + 2*f - f) - 6*f + 3*f + 4*f - 2 - f + 2.\nAnswer: 122*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1436 - 184 = 0. Let q = z - -649. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/782 and 65\/62084.\nAnswer: 1427932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 7. Let a be h(-3). Suppose a*f - 124 = 3*w + w, -2*f - 37 = w. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0137331 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708*p**3*t**2 + 135*p**3*t - 285*p**2*t - 3*p**2 + 7*p*t**2 - 2*p - 1 wrt p?\nAnswer: -4248*t**2 + 810*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5124+8310650549\nAnswer: 8310645425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4650 and 34410.\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 6*a - 21)*(0*a - 3*a + 2*a) + a**2 + 2*a - 2*a + (4 - 3 - 5)*(4*a**2 - a**2 + 2*a**2) - 3*a**2 + 6*a**2 - 4*a**2.\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + f + 2. Let s = -39 - -50. Let q(i) = -14*i**2 + 2*i + 6. What is s*y(b) - 4*q(b)?\nAnswer: b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 376961.4 months?\nAnswer: 314.1345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*i + 3*k, -9088*i + 9093*i + 2*k - 20 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 424\/5997 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 274249.\nAnswer: 41, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 687 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = z + 22, 2 = -4*g + 5*z - 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 102461*h**2\/3 + 34154*h.\nAnswer: -h*(h - 1)*(h + 102462)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1458.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 64, 112, 160, 208?\n\"Answer: 48*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -12, -1, 1014, -2.\nAnswer: -12, -5, -3, -2, -1, 1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 3\/20 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 452444102 to the nearest integer?\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88355\/3 + -1649309\/56. What is the common denominator of z and -71\/27?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 9*o**2 + 26*o - 10. What are the prime factors of n(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -119*o + 121*o + z, z = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 19*g - 104*g + 1617. Calculate the least common multiple of g and 1083.\nAnswer: 6498","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/63*-7 - -10?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472788 to the power of 1\/2, to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/7)*(u\/(u*u**6\/u))\/u*u**(-12)\/u**(-1\/12) assuming u is positive.\nAnswer: u**(-1481\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 7*k**2 + 3*k - 4. Let n be 9 - (2 - -3 - 3). What is the units digit of h(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z. Suppose 2*v + 4*m = 2, 4*m - 3 = m. Let q be h(v). Solve 0 = 4*p - q - 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 4 - -4) + 3 + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3343276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23690.\nAnswer: 2, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 - 30. Let m(c) = c**2 - 10*c + 11. Let d be m(y). Solve -6*n + 20 = -d*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.64053 litres?\nAnswer: 32640.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 6*i**4 + 15*i**3 + 30*i**2 - 12*i - 24 = 0. What is i?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.499 + 1.501. What is the nearest to -10 in -3\/5, -0.5, -0.4, s?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12200 - -2413232?\nAnswer: 2425432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b*g**2 + 11416*b*g - 46*g**2 wrt g?\nAnswer: -10*b - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 10 + 4)*(-5*k**2 + 13*k**2 - 6*k**3 + 2 - 6*k**2) to the form g*k + t*k**3 + z*k**2 + v and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 57481, 114999, 172519, 230041?\n\"Answer: c**2 + 57515*c - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664773519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 55. Suppose 0 = 20*u - j*u - 376. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 3*z + 7. Let r be s(-5). Let h(k) be the second derivative of k**4\/12 - k**3\/3 - 2*k**2 + k. List the prime factors of h(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(30\/(-5))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -1963*u**3 + 22*u**2 - 64*u + 17. Let z(n) = 655*n**3 - 8*n**2 + 21*n - 6. Let d(b) = 6*v(b) + 17*z(b). What is the third derivative of d(a) wrt a?\nAnswer: -3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61)\/(-6) + -2*250\/(-600).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5. Let g = 1.2 - w. Let k = 1.2 - g. What is the second smallest value in k, 3, 3\/8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 8*q**2 + 2*q + 9. Give k(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1931103411 to the power of 1\/2, to the nearest integer?\nAnswer: 43944","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529474718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 2 (c) -1\/4 (d) 0 (e) 3.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 188 = 21*t. What is the common denominator of (t\/(512\/136))\/((-5)\/6) and -71\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 15*l**2 - 11*l - 197. Let q be g(17). Let p = q - -4289. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 9427?\nAnswer: -942b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -5.1594.\nAnswer: 5.0594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-2)*-2 + 7. Let y(d) = -d**2 - 9*d - 9. Suppose -2*v - 2*m - 22 = 0, -3 = v - 3*m + 2*m. Let c be y(v). Solve 0*x - u = -c*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*g - 2 = -289*g - 4*v, -4*g = 4*v + 16 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 5*c + 75, -3*t + 44180 - 44173 = c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**4 + 0*i + 2*i + 0*i**3 - 2 + 0*i**3 in the form b*i**2 + z + q*i**4 + p*i + v*i**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -b + x, -57*b + 87*x + 778 = 92*x + 297 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4323057, 4323054, 4323051, 4323048, 4323045?\n\"Answer: -3*r + 4323060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225513789?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11769052 divided by -3.\nAnswer: 11769052\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/50)\/(-22 + 0)*(-400)\/320?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*j + 11 = -21, -4*q + 128 = j. Let u(p) = -p**3 + 30*p**2 + 63*p + 20. Let c be u(q). Let z = 1251\/7 + -179. Which is bigger: z or c?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(-5)\/(-3). Suppose -32 = 54*w - 62*w. What is the nearest to -2\/11 in w, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1555, -3017, -4477, -5935, -7391, -8845?\n\"Answer: c**2 - 1465*c - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.7, 34, -5 in descending order.\nAnswer: 34, -3.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 9*a - x - 144, 4*a - 3*x = 288. Let o be (-2)\/(a\/(-260)) - 6\/27. Let g(d) = -5*d + 15. Give g(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1291 + -789. Let h = -364 + z. Calculate the highest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 7 + 9, -u - d = -685. Let w = 113 + u. What are the prime factors of w?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1 + -2)*-1. Let d(f) = 14*f + 1. Let k be d(y). Suppose -k + 0 = -5*x. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/4*8\/6. Find the first derivative of 1 - u**4 - 10 + o*u**4 + 5*u**4 wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**5\/7 + 8*o**4\/7 + 22*o**3\/7 - 52*o**2\/7 - 8*o + 80\/7 = 0 for o.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*sqrt(3)*-1 + -2 + 0 + sqrt(3)))**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2748*t - 115319 = -5399 for t.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 49. Let f = -4 - 1. Let y = f + t. Solve -v = -0 - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 - 1994832.178335?\nAnswer: -1994831.558335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.206 and 44891?\nAnswer: -54138.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 7:22 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -392\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkwkkkkkkkk. What is prob of sequence wkw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*i = -3*k + 76, -k + 0 = -4*i - 2 - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkgr when four letters picked without replacement from rgmmgmmrmmkkgmkmfkr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156832851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 1:15 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(180)*2*6)**2.\nAnswer: 414720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -753, -1223, -1821, -2595, -3593, -4863, -6453?\nAnswer: -8411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2404131005 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 0*s - 4*s)*(-4 - 17 + 37) + (-2*s + 0 + 0)*(-4 - 1 + 3).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/7*84\/18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22466758 and 2363.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.03859 months in millennia?\nAnswer: 0.0054198825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -31*r**3\/6 + 205*r**2\/3 - 463*r\/6 + 14 = 0.\nAnswer: 7\/31, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from {p: 5, j: 2, s: 3, q: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 0*d**3 + 4*d**2 - 6 - d**4 - 2 + 0*d**3 - 2*d**3 in the form h*d**2 + m*d**3 + g + f*d**4 + k*d and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2940125?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 334 + -338. Let x be 10\/(87\/18 + n). Let l be 20\/(-8)*(-8)\/10. Solve l*d + x = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -223 - 28. Let d = -250.8 - h. Put 0.1, 1\/2, 3, d in increasing order.\nAnswer: 0.1, d, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 23*k**7\/210 - 7*k**6\/60 + 161*k**5\/60 + 10*k**2 + 12*k. What is the third derivative of g(f) wrt f?\nAnswer: 552*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:28 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1437 - 983. Suppose 2*o - s = 218. Is 21 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, v: 1, u: 7}. Give prob of sequence tv.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -469 + 128. Let q = t + 361. Calculate the remainder when 38 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 2*v**2 + 10*v - 13. Let z be x(-3). Let s(t) = -39*t**2 - 66. Let b(l) = -3*l**2 - 5. Give z*s(r) - 27*b(r).\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4))**20\/(y**(2\/7)\/y*y*y)**(7\/3))\/(((y**(2\/15)*y)\/y)\/(y\/(y\/((y**(-4)*y)\/y))))**(1\/15) assuming y is positive.\nAnswer: y**(388\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68552053 is divided by 2211.\nAnswer: 2209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 807?\nAnswer: 2421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 23\/(16767\/1314). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 18*l**2 + 51*l + 221. Let f be i(-5). Let u(c) = -1104*c**3 - 208*c - 208. Let d(a) = -16*a**3 - 3*a - 3. What is f*d(y) - 6*u(y)?\nAnswer: -32*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and 0.06392022969038.\nAnswer: 0.13392022969038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.998 - -0.102. What is c rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k - 426635132 - 25*k + 426635132.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 10*z**2 + 7*z - 12. Determine r(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8760 - 8526. What is the smallest common multiple of 39 and b?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v)*(-2*v**2 + 2*v**2 - v**2) - 3*v**3 + v**3 + v**3 + (3*v - 2*v + 2*v)*(2*v**2 - 3*v**2 - v**2) + 0*v**3 + 2*v**3 + 0*v**3.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1039*q - 876*q + 6357 = 0 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n)**(-3)\/(n**(2\/7)\/(n\/n**(-2\/11))))**(-40))**(-13) assuming n is positive.\nAnswer: n**(-84240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*-1*-3)\/(sqrt(36)\/sqrt(3)*5 + sqrt(12)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-212)\/(-24) - (-7)\/42. Suppose -w + 13 = -u, 4*w + 4*u - 59 - n = 0. Let r(d) = -d**3 - 3*d**2 + 4*d + 5. Let i be r(-4). Solve 4*x + i = -w for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938365 is divided by 118?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2423 - -1974?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3812835, -7625681, -11438527, -15251373?\n\"Answer: -3812846*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -309.978518 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082554 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343706612 or 343706614?\nAnswer: 343706612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400750 to the nearest integer?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, w: 1, g: 4, l: 11}. Give prob of sequence gl.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154970092 to the nearest integer?\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/2 + 15*u**2\/2 + 9*u\/2 - 27\/2.\nAnswer: 3*(u - 1)*(u + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {f: 6, e: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-11 + -12 + 7)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/23 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/4 - 851571*x\/4 + 4257705\/2.\nAnswer: 3*(x - 283847)*(x - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*3 + 2)**2.\nAnswer: 120*sqrt(13) + 11704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u + 4. Let w be q(5). Suppose 4*j + 10 = 6*j. Suppose -2 = -4*p + j*p. Which is the nearest to -1? (a) p (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 6 = -6*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17233*i + 17232*i - 5*f - 93, 5*f = 2*i - 99 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319220, -638426, -957632?\nAnswer: -1276838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.74 - -23. Do -3 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/5 (b) 1\/9 (c) -6\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -2 (b) 1\/5 (c) -158712\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: Suppose -19*j = 5*j + 456. What is the tens digit of (-2)\/j - (-558168)\/494?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -18 + -2*(3 + -4). Let h = -42 + 33. Let r = h - c. Calculate the lowest common multiple of r and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 69*b**2 - 4. Let c be g(2). Suppose -6*i + 5*i = -3*p - c, -i + 275 = -4*p. What is the remainder when i is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511468073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 1 (c) 2 (d) 1690 (e) -0.5 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/((-775)\/(-400))*244\/(-64)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 4*l**2 - 4*l - 1. Let z be a(3). Let d = z - 46. Solve 0*q = -q + d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**3 + 18*p**2 + 15*p + 53. Let a(c) = 2*c**3 - c. Let t(g) = -3*a(g) + n(g). Determine t(-17).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686 and 39060.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 8*a**4 - 804*a**3 + 19000*a**2 - 135300*a + 63000 = 0.\nAnswer: 1\/2, 15, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 94. Suppose -d = -5*t, -3*f - t + 405 = -3685. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(304))**2 - (1 + sqrt(171)).\nAnswer: -3*sqrt(19) + 7599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**2 + 3416*w = 0.\nAnswer: 0, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13289\/4 + -3322. What is the closest to 2935 in 5, 0, 0.2, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10*(45\/(-10) - -5). Suppose 0 = -h*j + 320 + 605. What are the prime factors of j?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165 divided by 540.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 98 = -3*o - 31, -3*p = 2*o - 13. Suppose c - 5 + 22 = 4*q, -3*c = q - o. Suppose q = 3*i - 4. Solve 2*a - i*t = 2, 1 = 4*a - 2*t - 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -9523?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637603469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22609 rounded to 2 decimal places?\nAnswer: 1.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -11*j**5\/120 + 7*j**4\/24 - 2*j**3 + 2*j. Let z(w) be the second derivative of t(w). Differentiate z(p) wrt p.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*o + 14*o + 13*o)*(1 - 2*o - 1).\nAnswer: -98*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(g - 4*g + g) + 23697 - 175*g - 23697.\nAnswer: -173*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 983?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-6) - (0 + -4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**2 + 4*q + 0 - 1\/5*q**5 + 0*q**3 + 1\/6*q**4. Find the third derivative of d(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58 + 54 + -48 + 10\/(-1) + 1. Calculate the highest common divisor of o and 1859.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 527.6 + -0.08\nAnswer: 527.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5068 from 4.\nAnswer: -5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 4. Let v(s) = -1. Suppose 10*w - 60 = 5*w. Let f = -15 + w. Calculate f*v(i) + b(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*r + 20 = -91*r. Suppose -t - r*h + 1057 = 0, t - 1251 = 4*h - 154. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41666836\/167 + 249503. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8*m**5\/3 + 266*m**4\/3 - 870*m**3 + 7900*m**2\/3 - 8152*m\/3 + 528 = 0.\nAnswer: 1\/4, 2, 11, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y**3 + 242*y**3 - 39*y**2 + 23*y**3 + 66*y**3 + 39*y**2.\nAnswer: 355*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) 147\/11 (c) -14 (d) 0 (e) -1\/3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = s, 10 = s + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iidi when four letters picked without replacement from giiiiggggdgdddi?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1569 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(120)\/(1*sqrt(10))) + -1)**2 + (5 + sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))**2 + 5*(sqrt(1331) + 1).\nAnswer: 383*sqrt(11) + 12021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -20, -0.02, 692, 0.1 in decreasing order.\nAnswer: 692, 81, 0.1, -0.02, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d**3 + 12*d**2 + 4*d - 22. Calculate n(5).\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9190567 divided by -3?\nAnswer: -9190567\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z + 0*z**5 + 1\/6*z**6 + 1 - 1\/2*z**2 + 0*z**3 + 0*z**4. What is the second derivative of r(n) wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6800 and 18190?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 114\/7 - 2\/7. Suppose 5*j = -9 - m. Let l = -1 - j. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 52.78. Let i = -2.65 + 1.47. Let o = f - i. Which is the nearest to 0? (a) -3 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/17 and 0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43\/2 - -19. Which is the biggest value? (a) 1 (b) j (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 - -1205. List the prime factors of 2 + 4 + m + 8 + -3.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 16*a - 9*a. Solve p + 4*m + 23 = 0, a*p - 4*m - 11 = -0*m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = g - 5*g, 2*f - 4*g = 26. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132965.\nAnswer: 5, 7, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 506770123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, 1, 13, 25?\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -22*w**2 + 3*w. Let v(s) be the first derivative of 2*s**3\/3 - 3. What is x(v(d))?\nAnswer: -88*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g**2 - 1236*g - 4412. Calculate f(158).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 32. Which is the second biggest value? (a) n (b) 6 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3482.912 kilograms to micrograms.\nAnswer: 3482912000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 10.3.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -17*m - 36*m + 101*m. Let a(f) be the second derivative of -f**7\/1260 - 8*f**4\/3 - 11*f. Let i(p) be the third derivative of a(p). Calculate k(i(c)).\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6*o + 5*y + 30 = 0, o + 4*y = -14. Suppose -z + 4 = -o*c, 4*z = -2*c - 2*c - 8. Let g = 7 - c. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of g**5\/40 + g**4\/24 + 37*g**3\/6 - g**2 + 60*g. Let q(k) be the second derivative of n(k). Determine q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*u**4 - 53*u**4 + 46*u**2 - 46*u**2 - 15*u**3 + 2 to the form r*u**3 + i*u**4 + d*u**2 + b*u + a and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, r: 3}. What is prob of sequence rr?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + ((sqrt(700) - (sqrt(700) + 2) - sqrt(700))**2 - sqrt(700)) - sqrt(84)\/(sqrt(12)*-1 - sqrt(12) - sqrt(12)).\nAnswer: 121*sqrt(7)\/3 + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 2*r + 3*h, 0*r - 2*h - 88 = -2*r. Suppose 16107 = -38*p - 613. Let o = -429 - p. What is the remainder when r is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 1)*((5*j**2 - j**2 - 2*j**2)*(2*j + j - j) - 5*j**3 + 5*j**3 + 2*j**3 - 2*j**3 - 2*j**3 + 3*j**3 + j**3 - j**3 - 2*j**3)*(7*j - 2*j**2 - 7*j).\nAnswer: 42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 286 and 7618.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -310 + -10?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54241, -54264, -54289, -54316?\n\"Answer: -p**2 - 20*p - 54220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -27*l**3 - l**2. Let r(t) = t**3 - t**2. What is 2*r(n) - 2*v(n)?\nAnswer: 56*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 6*h**2 - 7*h + 14. What is c(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1002\/3409 + -4\/487. Which is the nearest to 0.1? (a) -2 (b) 5 (c) 9 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*o - 1692 + 1589 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, c: 1}. Give prob of sequence cbb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10171053106 - -18\nAnswer: -10171053088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4355 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsg when three letters picked without replacement from {s: 11, g: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 1 = 4. Let x be (a\/15)\/(2\/30). Calculate the greatest common divisor of 55 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a century in months?\nAnswer: 47400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 655952?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 13*j + 2. Let d be u(5). Suppose 10*x + 1092 = d*x. Suppose 18*l - 16*l = x. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1630)\/(-45) - (-4)\/(-18). Suppose m = 4*m - q. Does 4 divide (-1)\/6 - (-194)\/m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/3 of a hour?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 - 1770*k**3 + 1780*k**2 + 1770*k - 1775 = 0 for k.\nAnswer: -355, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*o**3 - 171*o**3 + 2*o**3.\nAnswer: -363*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Let b(a) = a**2 + 12*a + 15. Let h be b(-10). Sort -2, t, h in descending order.\nAnswer: t, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 117. What is the third derivative of 3*n**2 - p*n**4 - 31*n**4 - n**5 + 65*n**4 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, -3\/8, 168, -1812?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1605 rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/19 (b) -3\/2 (c) 13 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-525)*1550\/(-93)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 10. What is i(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -378120 (base 9) in base 6?\nAnswer: -4524113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence px when two letters picked without replacement from ejepxpjjjyejtexjpx.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -9*g**3 + 3*g**2 - 18*g - 3. Let s(m) = 35*m**3 - 12*m**2 + 79*m + 13. Give 9*c(o) + 2*s(o).\nAnswer: -11*o**3 + 3*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2*a**3 - a + (3*a**2 - 5*a**2 + 3*a**2)*(-4*a + 6*a - 4*a) - 2*a**3 - a**3 + a**3 + 2*a**3 - 6*a**3 + a**3 + 68*a**2 - 68*a**2 - 10*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68.153697 milliseconds?\nAnswer: 0.0000189315825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -582 - 12648 = 378*y for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, g: 7}. What is prob of picking 1 g and 3 m?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 1387 = 3923. Round t to the nearest ten.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 528*y**2 + 1050*y - 524 = 0.\nAnswer: 1, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -5, 0.329522, -0.87.\nAnswer: -5, -0.87, -0.2, 0.329522, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, p: 11}. What is prob of sequence psp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 9*f**2 + 11*f + 14. Give i(10).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-42)\/(1 + 1)*21. What is the common denominator of ((-39)\/14)\/(16200\/(-2520)) and 0 + 3 + w\/297?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.04516, -499.5, 0?\nAnswer: 0.04516","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 9:55 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 151783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1197*v = 1251*v - 2355*v - 2976 for v.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41808799*5\nAnswer: 209043995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 101\/45 + -22\/9. What is the second smallest value in -1, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5983869043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33489\/5 - 366\/5*r + 1\/5*r**2.\nAnswer: (r - 183)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 92*a - 1387. Let g be o(73). Let n be (-4)\/3*(-9)\/3. Sort 5, n, -5, g.\nAnswer: -5, g, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Find the third derivative of s*n**2 - 3*n**2 + 0*n**2 + 2*n**4 wrt n.\nAnswer: 48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = 208. Suppose 0 = 13*c + 16*c + 3828. Let y = c + t. Is 38 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 143\/33 - 4\/(-6). Suppose -5 = -q - 0*w - w, v*q = 2*w + 4. Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -9*n - 1. What is p(4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171 and (-4)\/(-6)*-12 + (-17 - -112)?\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(0 + k + 4 - 2*k).\nAnswer: 2*k - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -808*t = -1793 - 4671 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*b - 76, -34*m + 39*m - 75 = -5*b. Solve -17*y - 34 + m = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15046944 divided by 352\nAnswer: 42747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 983746?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*g**2*r**3*x - 2*g**2*r**2*x - 33*g**2*r - 3*g*r**3 - 261*g - 12*r**3*x - 70*r**3 - 3*r*x - x + 2 wrt r.\nAnswer: 240*g**2*x - 18*g - 72*x - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -30. Suppose -5*k = -12 - 13. Suppose -3*t = l + 3*l + 28, 0 = -4*t - 2*l - 24. Put k, j, t in decreasing order.\nAnswer: j, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*y = -1, h - 3*y - 5 = -y. Let q(v) = v**3 + v. Suppose 7 + 1 = -4*f. Let n(s) = -s**3 - s**2 + 2*s. Calculate f*q(t) + h*n(t).\nAnswer: -3*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3\/(-6) - -1*381\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -3\/2*y**2 + 0*y + 3. Let p(f) = -4*f. Give g(p(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(3*3\/36). Suppose -3 = 4*l - 3*p, l - r*l = -5*p + 16. Let q be (4\/(-2) + l)*0. Solve -5*w + 5*k - 15 + 0 = q, 0 = -w + 5*k + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24801725 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: Rearrange (-m + 1 - 1)*(-2 + 1 + 3)*(202 - 46 - 94)*(1 + 0 + 0) to the form k + p*m and give p.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 25*t - 138. Let u be y(-5). What is the greatest common factor of u and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w + 214 = -d, -19 = 296*w - 301*w - 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1362824039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 29942670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b - 6. Let i(g) = -24*g - 20. Calculate i(t) - 2*r(t).\nAnswer: -26*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 1 - 3)*(1 - m - 1) - 7*m - 7*m - 6*m to the form o + i*m and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - -100010?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -74 - -774b?\nAnswer: 76a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -1259*d - 6. Let h(u) = -3780*u - 17. Give 4*h(v) - 11*m(v).\nAnswer: -1271*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1043.1 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3101 (base 4) in base 3?\nAnswer: -21202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 6*k + 15. Let w be n(-5). Is 216\/1 + w + -5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 2.4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 185*n**2 - 406 wrt n?\nAnswer: 370*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66690 + 459857 = -19*p. What are the prime factors of (-8)\/(392\/p) + 6\/14?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165507 is divided by 2220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/2*(10\/(-8))\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 109070 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-23392)\/612 - (-2)\/9) + 144\/12 + -22.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 + 1319980*m - 1319975.\nAnswer: -5*(m - 263995)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2349 and 648.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9612468.07999998 - 9612468. Let u = 1.92 + -2. Let t = d + u. Round t to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:40 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394316 or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 1. Let y(d) = 6*d - 183. Suppose 31 = 11*g - 10*g. Let q be y(g). Which is the closest to f? (a) q (b) -0.5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 23*m**2 + 17*m + 3. Let r(v) be the second derivative of 2*v**4\/3 + v**3 + v**2\/2 + 8*v. Calculate -17*r(y) + 6*w(y).\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 != 123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.243, -2\/671, 1\/8, -3 in ascending order.\nAnswer: -3, -0.243, -2\/671, 1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*((0 - 2 + 0)*(-1 + 0 - 1) + 17 - 9 + 6)*(2*y - 5*y + 2*y - 4) as p + c*y and give p.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.3 (c) 1\/3 (d) 45\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 17\/2 of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/147? (a) -0.2 (b) 5 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence djld when four letters picked without replacement from {j: 4, l: 2, d: 3, c: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 0*f + f)*(28938 - 19334 - 20917) to j + o*f and give o.\nAnswer: 11313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9405.815ms to nanoseconds.\nAnswer: 9405815000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-4) + 1313\/1212. Let x = 3.1 - 3. Let h = -0.3 - -1.1. What is the closest to x in h, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 8:35 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 0*b**2 + 2 + 4*b**2 as d*b**2 + o + g*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 4, r: 1, g: 1, i: 1, k: 3}. Give prob of sequence kyk.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13022 is divided by 420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -237, -357, -477, -597, -717?\nAnswer: -837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*t = 4*t + 3742785. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j - 2*j. Let o(h) be the second derivative of h**3\/3 - h**2\/2 + 3*h. What is o(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 + 32*o + 482. What is i(-27)?\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1603 = -3*h, -85 + 80 = -5*h. What is the lowest common multiple of 736 and n?\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68) - (((sqrt(68) - (sqrt(68) - (sqrt(68) + -4))) + sqrt(68))*5)**2) + 3.\nAnswer: -1604*sqrt(17) + 14403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, -27, -3\/29, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 17 = -3*f, -f + 2*v - 257 = -264 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 16?\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -864, -7, -9, 0, 3 in descending order.\nAnswer: 3, 0, -7, -9, -864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -182*a - 3640. Determine c(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78228043 a multiple of 1652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f. Let p = f - -4. Suppose w + 4*z = -p*w + 50, -w - 2*z = -10. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87540.65 days to minutes.\nAnswer: 126058536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {o: 11, k: 9}?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 92\/22 + (-5)\/110*4. Suppose m*f - 404 = 2*p - 126, -25 = -5*p. Is 18 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 18 (b) -2 (c) 0.02 (d) -0.009\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2550\/7)\/(-3)*-7. Suppose -810 - c = -4*u. List the prime factors of u.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11002, 22003, 33004?\n\"Answer: 11001*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -15788 and -15785 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -403*d + 12. Is v(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 10*n + 246 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482686.3 decades in centuries?\nAnswer: 48268.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**19*r*(r\/((r*r\/(r\/(r\/r**(-47))))\/r))\/r*r assuming r is positive.\nAnswer: r**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 272925967999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 - -33. Let m = 35.5 + a. Let l = -1.3 + m. Put 0.5, -0.4, l in decreasing order.\nAnswer: 0.5, l, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*z**2)*((z - z + 6*z)*(-z**2 + z**2 + 4*z**2) - 5*z**3 + 4*z**3 - 2*z**3 + 4*z**3 + 0*z**3 - z**3).\nAnswer: 48*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558845 is divided by 131.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(2\/9)*m)))**23\/(m**(3\/2)\/(m*m**(-4)*m))*(m*m**(1\/4)*m)**(-1\/6)\/(m*m\/(m*m*m\/(m**(-1\/7)*m))*m*m*m**(-2\/11)) assuming m is positive.\nAnswer: m**(-2435\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**5\/60 + a**3\/6 - 4*a**2 + 4. Let m(x) = -4*x**2 + 2. What is -7*d(p) + 2*m(p)?\nAnswer: -p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-25)*i)\/i*i)\/i)\/(i**(-23)\/i) assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (2 - (-21)\/(-18))*-3. Which is the nearest to -0.1? (a) -3 (b) -5\/2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2. Let v(f) = -77*f. Give z(v(k)).\nAnswer: -94864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**3 + 17*v**3 - 15*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -690994 + 690994 + 13*c + 19*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 2*a + 1 = 2*a, 2 = l + a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 g when three letters picked without replacement from ggggghgggghgggggggg.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 1. Let m(w) = -w + 4. Let r(g) = m(g) + 2*t(g). Let d(l) = -3*l**2 + 3*l. Let x be d(2). Determine r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, -2, -4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -3, 16, 28, 4, 1, -7 in ascending order.\nAnswer: -76, -7, -3, 1, 4, 16, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 152\/4123*6 - (-8)\/124. What is g in 2*g + n*g**5 - 16\/7*g**3 - 4\/7*g**4 - 4\/7*g**2 + 8\/7 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 274 - 596 + 166 = -4*t for t.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/7, 1156, 4\/3, -0.04, 3\/8, -3\/5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 12, 5*a + 3*z = 1730 + 5609. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 68*y**2 + 367*y + 130.\nAnswer: (y - 13)*(y - 10)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose 0 = n + c + 1, c = -6*n + q*n - 16. Let a(f) = -361*f - 4. Is a(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 273*d - 263*d - 240. Calculate the highest common divisor of 66 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(112) + sqrt(112) - (sqrt(175) + 1 + sqrt(175))))**2.\nAnswer: 16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2404383?\nAnswer: 3, 801461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2 - 4. Suppose -3*q + 8 = k - 3*k, -i = -q - k. Let h(g) = -1 - g - q*g + 0*g. What is h(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 - 191 = -2*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from phhophhhohhooohp?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-47)\/(-2) - (4\/4)\/1. Let j = -25 + i. Let d = 48 - 48. What is the third smallest value in j, 0.1, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a day in minutes?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51456 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 - -48. Suppose -x = 4*b - 8*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1797.4 - 1796.3987. Round o to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**3\/5 - 246*v**2\/5 + 2082*v\/5 - 1834\/5 = 0.\nAnswer: -131, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 4 = n. Let l be 80\/3 + (-3)\/(-9). Let v = -15 + l. What is the remainder when n is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19086 - 19086. Let d(i) be the first derivative of 14 + g*i + 29\/2*i**2 + 1\/3*i**3. Let c(u) = -2*u. Determine c(d(r)).\nAnswer: -2*r**2 - 58*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 = i. Let l = 723 + -722. Suppose -2*m - l = -i. Sort m, 2, -4 in decreasing order.\nAnswer: m, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 2*o + 2. Suppose -43*s = -41*s - 26. Suppose -7 = 10*d + s. Calculate b(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 32832144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468567403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -759, -1723, -3083, -4845?\nAnswer: -7015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-16)*7952\/(-1065)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u**2 - 2*u + 2*u + 0*u**2 + u**2 - 2*u**2 + (0*u + u + 0*u)*(-2*u + 0*u + u))*(5*u - 2 + 2) to the form p*u + x*u**3 + i*u**2 + z and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15713 - 78013. What is u rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 37*d**2 - 95*d + 2126. Give j(36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -767 divided by 767\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 - -219. Which is greater: -3\/148 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5 + 9. Let r(s) = s - 1. Let j(m) be the third derivative of m**5\/20 + m**4\/12 - m**3\/3 - 2*m**2. Let p = 4 - 6. What is p*r(l) + x*j(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Let f(c) = -2*c + 1. Let z(l) be the second derivative of 0 + 1\/2*l**2 - 10*l - 1\/3*l**3. What is g*f(x) - 4*z(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t**2 - 2*t - 5. Let w(s) = -s. Let g(o) = l(o) - 2*w(o). Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.993 - 0.107. Let f = i - -5. What is the second smallest value in f, 2, -19?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -1029338.\nAnswer: -39114844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5 = -2*n. Let r = 7 - n. Put -4, r, 3 in descending order.\nAnswer: 3, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9462.167 nanoseconds?\nAnswer: 0.000009462167","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 84877?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) 8\/35 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -174, -265, -358, -453?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -28\/3*m**3 + 0*m**2 - 4\/5*m**5 + 0*m - 34 - 8*m**4. Factor g(u).\nAnswer: -4*u**2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 78, -11, -106, -207?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-15)*3\/((-36)\/(17\/(-17))).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.4 in 1\/10, -3\/7, -3\/233?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-444)\/(-22) + 8\/(-44)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 250735 - 250733.831621. Let h = n + -1.169. What is h rounded to 5 dps?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6489 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, d: 1, k: 1, t: 2, i: 2}. What is prob of picking 1 i and 1 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 16, 13, 1.\nAnswer: -1, 0, 1, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w + 20*w + 1 + 0*w**2 + w**2. Let q be -10 + (31 - 10) + -25. Let o be t(q). Solve 4*m + 9 = o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sfn when three letters picked without replacement from qsfnfuussugqnsu.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.0862022 days?\nAnswer: 7447.87008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1891*c + 1323*c - 262*c - 43*c.\nAnswer: 2909*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 902236129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 217, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55 + (-243)\/432*-16.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1303.3, 1\/2, -56?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294 + 33*v + 32*v - 275 - 64*v.\nAnswer: v + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2567 at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35\/18 - 4\/9. Let l = -4.03 - -4. Let f = -0.33 - l. Which is the closest to 2\/3? (a) d (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2 (c) 2\/5 (d) -3\/34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -j**6\/1800 + j**5\/200 - j**4\/60 + 8*j**3 + 21. Let r(d) be the third derivative of x(d). Determine b, given that r(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**5\/30 - v**4\/3 - 11*v**2\/2 - 18. Let b(a) be the second derivative of u(a). Determine z so that b(z) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 321888816*q**5 - 914006250*q**2 wrt q?\nAnswer: 19313328960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17651359 and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -618, -636, -674, -738, -834, -968?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 166208 and 47859?\nAnswer: 21440832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44259 + 44628. Calculate the remainder when 1501 is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -152403, -152401, -152399, -152397, -152395?\n\"Answer: 2*l - 152405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-78)\/(-13))\/((-2)\/(-5)). Suppose l*i + 133 = 16*i. List the prime factors of i.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 7*d + 665. Let f be y(0). Suppose 5*k - f = -z, z = -3 + 8. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5987 is divided by 127?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 111?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261577 take away -3792278?\nAnswer: 2530701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -221*l**2 + 51*l. Let g(u) = -17*u**2 + 4*u. Calculate -4*d(n) + 51*g(n).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 e when three letters picked without replacement from eeooooooooeo?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, n: 1, s: 6, y: 1, o: 1}. What is prob of sequence sno?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d**2 - 2*d**2 + 0*d**2)*(4*d - 5*d - d) + (1 - 4 + 2)*(-5*d**3 + 4*d**3 - d**3))*(-3*d - 1 + 1).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6729.845km to meters.\nAnswer: 6729845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5 + 2*k**4 - k**3 - 2*k**2 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**5\/60 + 3*b**4\/8 - b**3 + b**2. Let q be w(8). Find the third derivative of 2*y**3 + 2*y**q - 2*y**3 - 2*y**6 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702314?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 7167.1.\nAnswer: -3583.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 12*j - 15. Let m be n(6). Suppose -y = 3*b + m, -4*y + y + b = 73. Let u = -12 - y. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*l**4 + 137*l**2 - 1402?\nAnswer: 12*l**3 + 274*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 969\/1260 + 84\/(-112). Let t(q) be the third derivative of 0 + 0*q**3 + 1\/30*q**6 - j*q**7 + 1\/15*q**5 - 1\/6*q**4 + 0*q - 2*q**2. Factor t(z).\nAnswer: -4*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(243)*1 - sqrt(15)\/(sqrt(405) + (sqrt(405) - -1*sqrt(405)) + sqrt(5)) - (1 + 1 + (1*sqrt(3888))**2).\nAnswer: -3893 + 251*sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83189, -166390, -249587, -332780, -415969?\n\"Answer: 2*v**2 - 83207*v + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -i - 1, 39 = 3*i + 18*j - 22*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or 1.8?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 276\/7, 164, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t = t + m - 6, 4*t = 2*m - 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17527 or -17530?\nAnswer: -17527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 * -0.27.\nAnswer: 18.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b + 13 + 8*b - 31 - 23*b - 7. Suppose -5*l - 95 = u, -5*u = 2*l - 3*l + 7. What is n(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**2 + 13*q + 13. Let w(o) = o**2 + 3*o + 3. Let j(d) = -5*d**3 - 3*d + 2. Let g be j(1). Give g*v(t) + 26*w(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 21. Suppose -10*i + 32 = -14*i. Let s be p(i). Is s bigger than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 11*i**2 - 8*i + 34. Let g(z) = z**2 + z. Let t(j) = 6*g(j) + k(j). Let q be t(17). Solve 3*u = -q - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**4\/2 - 18271*p**3 + 333939045*p**2\/2 - 1001250812*p + 834299560 = 0. What is p?\nAnswer: 1, 5, 18268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (1 + -4)*28. Suppose -3*f + m = f. Suppose 26*o = f*o + 650. What are the prime factors of o?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17052251 and -0.42?\nAnswer: 7161945.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 2 - -8 - 920\/(-10). Calculate the highest common factor of i and 2112.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17 and 24361?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 2 = -5*b. Suppose 0*d = b*d - m - 1, m = 3*d. Which is greater: d or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8270?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 1707.\nAnswer: 6\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 4*y**2 + 14*y - 4. Let g be z(6). Let b = g - 42\/5. Let m = -10 - -14. What is the smallest value in b, 0.1, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, r: 1, e: 1, o: 3, l: 3}. What is prob of picking 1 l, 1 t, 1 e, and 1 o?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -1. Let n(d) = -50*d + 5. Calculate n(j) + 4*v(j).\nAnswer: -50*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 1 (c) 1\/67 (d) -2\/1401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 10) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -76954, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-68)*(-914)\/5941.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -4) + -2*(8 + 2). Let n be 2*9\/(45\/b). Let z(r) = r + 5. Let o be z(-8). Sort o, 5, -1, n in decreasing order.\nAnswer: 5, -1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiii when four letters picked without replacement from {a: 3, i: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5202.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -446.\nAnswer: 12\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 10339594?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.080687 and 0.4.\nAnswer: -0.0322748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*z**5 + 32116*z**4 + 25227692*z**3 - 896319136*z**2 + 7967121978*z - 3045053124 = 0. What is z?\nAnswer: -1623, 2\/5, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.8151396296607 - -5.\nAnswer: 3.1848603703393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 186*m**2 + 8. Let z(c) = 127 - 246*c**2 + 308*c**2 - 124. Calculate 3*x(v) - 8*z(v).\nAnswer: 62*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-7)\/(-1) - 1. Suppose -11 - 66 = 7*q. Let m(g) = g**2 + 8*g - 17. Let t be m(q). What is the highest common divisor of p and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 45 + 45 + 2355*n**2 + 0*n as y*n**2 + h + m*n and give y.\nAnswer: 2355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/(-15))\/(2 - 3). Let y = 3470 - 3483. What is the nearest to 0.1 in -2, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 0*v + 2*v - 8519, -v + 5679 = 2*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 414\/(-759) + 124\/66. Factor -1\/3*u**3 - q*u**2 + 1\/3*u + 4\/3.\nAnswer: -(u - 1)*(u + 1)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence snss when four letters picked without replacement from nsssnsnnns?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 6:44 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -30b?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z**3 - z**2 - 3*z - 2. What is the units digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 265694170 to the nearest integer?\nAnswer: 16300","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let i(s) be the first derivative of -13*s**2\/2 + 15. Give p(i(y)).\nAnswer: 169*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 3. Let o(k) = -2*k**2 + 3*k - 2. Let v be o(2). Let m be w(v). Let p = 45 - 44. Is m < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121020 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 177 - b**2 + 176 - 376 + 18*b**2. Let c be -1 - 1*9\/3. What is the units digit of w(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1268067, 1268047, 1268019, 1267983, 1267939, 1267887?\nAnswer: 1267827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23862*y - 224440 = -22052*y for y.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:51 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2013*g**3 + 2*g**2 - 3*g + 2. Let w be y(2). Round w to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1376 - -1382. Solve -15*p + l = 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*b + 149345*b**2 - 215*b**3 - 149345*b**2 + 766*b**3 as w*b + i*b**3 + v + g*b**2 and give i.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*o - o - 536. Find the second derivative of -320*y - 75*y**2 - o*y**2 + 85*y - 23*y**2 wrt y.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/10253 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*v = 5, 2*d + 4*v + 10 = 4*d. Let b be (-3)\/d + 1\/((-15)\/66). Let a(j) = -8*j - 5. What is the units digit of a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -210.36914 to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 68062740 divided by -1134379\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 98 = 5*y, 3*y = 11*c + 32. Let a be ((-2)\/(-6))\/(y\/(-81)). Sort a, -1\/9, 3 in increasing order.\nAnswer: a, -1\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1401948 divided by 12\nAnswer: -116829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(7) - sqrt(672)\/sqrt(6))*4.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32023 (base 4) in base 15?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*u**3 + 73*u**3 - 18*u**3 - 17*u**3 - 15*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20764?\nAnswer: 2, 29, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2.1. Which is smaller: 0.03 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18929 and 43619.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104148 - 104391 - g**3 + 0*g**3 + 208539.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -4*c - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 6 - 5*s + 5*s)*(4 + 9 + 31) to the form r*s + c and give c.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1926 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/(-6))\/4)\/(11\/2112*16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.99 - -0.01. Let m = -2.7 - -1.6. Let z = m + 5.1. Which is the second smallest value? (a) 3\/4 (b) s (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 504*i = -47*i - 8948 - 2072 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, t: 5}. What is prob of picking 2 z, 1 t, and 1 e?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 j when two letters picked without replacement from jjjjjjdjjjjjj.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 82 + 72?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.8 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1006 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128704 - -1.594?\nAnswer: -128702.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.468 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300519*g - 4 = -300517*g + 3*v, -14*g = -4*v - 22 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 273 - 4*r + 6*r - 275 + 0*r + 4*r. Determine y(-6).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-6*1*(4 + ((sqrt(500) + -1 - sqrt(500)) + sqrt(500))**2 - (1 + sqrt(500) + -1))*2.\nAnswer: -720*sqrt(5) + 12120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*v - v - 8, -2*w - 7 = -3*v. Solve 3*i = 2*c + c, -i = -w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85 by -85.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15977?\nAnswer: 13, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000111011110 (base 2) to base 9.\nAnswer: 31666","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: 11123 (base 9) to base 16\nAnswer: 1ce0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**3 + 0*a**2 + (2*a**2 - 2*a**2 - 2*a**2)*(-2*a + 0*a + a) - 2*a**3 + a**3 - 2*a**3)*(111 + 190 - 635 - 626).\nAnswer: 1920*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 23, -10, -45, -76, -97, -102?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 6. Let d be b(-2). Suppose 10 + d = 5*z. Suppose -q = z*q + 33300000. What is q rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.286 + 0.286. What is the closest to 0 in b, -14, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 182 and 84.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -63*p*t**2 + 19*p*t + 3765*t**2 wrt p?\nAnswer: -63*t**2 + 19*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-30)*(-25)\/110\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1343311 (base 5) to base 16\nAnswer: 6d34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -73282*s + 2. Let t be c(2). Let p = t - -265993. Let h = 589431 - p. Round h to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -a + 75 + 21, 2*a + 130 = 3*l. Calculate the greatest common divisor of 414 and l.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/12*(-102)\/340*5\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let i be -2 + (-1 - (1 - q)). Let x be (200\/i)\/((-1)\/102000). What is x rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100656, -201312, -301968?\n\"Answer: -100656*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47321 or -47301?\nAnswer: -47301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n + 34*n - 19*n)*(-20 - n**3 + 20 + 9*n**2) in the form u*n**2 + l*n**4 + f*n + y + v*n**3 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.98 - 6. Let d = 102.024 - 0.024. Let h = 103 - d. Sort h, w, -1\/2 in decreasing order.\nAnswer: h, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42\/649 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 542 - -237. What is the units digit of ((-14)\/7 - -9) + o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*b + 2. Let g(j) = -j**3 - 1 + 2*j**2 - 4*j - 5 - 9 + 17. Give g(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/(-5)*(-28)\/252.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 > 263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 9574 = 9578 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2584.5135 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 7904.\nAnswer: 7904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w - 6. Let f be j(9). Let k = -44 - f. Let c = k - 36. Calculate the remainder when 47 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 81. Let p = u - -15. Calculate the remainder when p is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1004571627 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 11:27 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/126)\/(12*(-1)\/(-54))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k. Let h(p) = -167660*p**2. What is r(h(x))?\nAnswer: 2850220*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467922666.\nAnswer: 2, 3, 77987111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -17. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 30. Suppose -i*s = -4*c - s + 38, 5*s - 70 = -5*c. Calculate the remainder when c is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2345 is divided by 821.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*181\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*r - 113 = -l, 4*r = l - 14. Calculate the highest common divisor of 26 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 - 2*v - 9. What is c(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/33192 and 73\/33192.\nAnswer: 33192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 49 = 2*x - 3*x, -p - 136 = -4*x. Does 2 divide (22\/x)\/(((-4)\/(-138))\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22285 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 624211 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(-5\/3)*t*t*t**12 assuming t is positive.\nAnswer: t**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.027484 and 22.075?\nAnswer: 21.047516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (75\/(-10))\/5*48\/(-18). Sort o, -9, 2, -0.5 in decreasing order.\nAnswer: o, 2, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121212110121102 (base 3) in base 2?\nAnswer: -100010001100101101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 8*h. Let z be b(-6). Let o be (z\/10)\/(12\/(-30)). Suppose o*w - 20 = -2*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4212?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, n: 2}. Give prob of sequence dnn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45222355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.424 + 0.424. Which is the nearest to 49? (a) j (b) -4\/7 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 840739440 divided by -3526\nAnswer: -238440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*g + 4*n + 12, 4*g = -3*n - 54. Is 3 a factor of 1\/((-1)\/g*4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1103 and 6.85.\nAnswer: -1096.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 4.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2. Let i(c) be the first derivative of c**2\/2 + 1. Give i(x(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 18. Suppose -43*v = 46*v - 67 - 2959. Calculate the remainder when v is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20037942 times -3\nAnswer: 60113826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 586, 1799, 3690?\n\"Answer: 339*c**2 - 482*c + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 100100201021 (base 3) to base 9\nAnswer: 310637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**4 - 20568*n**3 - 226369*n**2 = 0.\nAnswer: -11, 0, 20579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*h + 168*h + 16570 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*b + 2*q + 7, 5*b - 3*q = 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172841733.\nAnswer: 3, 19204637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2)*(-10)\/(-12)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**2 + 1 - 269*r**4 - 26*r + 1445*r**4 + 6*r**2 + 15*r**2 + 17*r wrt r?\nAnswer: 28224*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 36. Suppose u = 2*o - 14, r*u - 5*o = 3*u - 2. Let i = -8.8 + 9. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2092 = -2*h + 9*c, -5*c + 5270 = 5*h. Calculate the greatest common factor of h and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {q: 2, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 6*n = 2406 - 246. What is the highest common factor of n and 270?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -188.\nAnswer: 3\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -5*b**2 - 83 - 12*b - 1\/3*b**3. Determine r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 28*p**2. Let l be g(-1). Suppose 5*y = -0*m - m + 35, 5*m = -4*y + l. Solve 0 = -3*r + y - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 29071.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140270 and 32868?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -15) + 13 + -8\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91 - -179?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 130.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5490141131 and -19.9.\nAnswer: 5490141111.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -702*j**2. Let x(w) = -7*w. What is x(f(o))?\nAnswer: 4914*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13819354 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452594648?\nAnswer: 2, 11, 29, 67, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/15)\/(84\/20)*6.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + s**2 + 4 - 2*s**2 in the form j*s**2 + g + r*s and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1420.9 - 1421. Is 847 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10501.9334 + 10501. Let k = v + 0.9. Round k to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/5)\/(-30))\/(-1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17966175, -35932350, -53898525, -71864700, -89830875?\nAnswer: -107797050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*b**3*d**2*v - 8*b**3*d**2 - 13*b**3*t - 2*b**2*d*t - 5*b**2*t + 2*b**2 + 3*b*d**2*v + b*d*t*v - 2*d wrt b.\nAnswer: 42*d**2*v - 48*d**2 - 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r. Let k be j(4). Let d = -27 + 31. Suppose -16 = -4*h + 3*v, 5*v - 20 + d = -4*h. What is the greatest common divisor of k and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-219 - -311) - (0 + (-1 - 0) + -6)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -8*y - 41. Let i be r(-7). Suppose -2*j - 3*x + 43 = 0, -2*j + j = -x - 34. Suppose 5 - j = -4*t. Calculate the highest common factor of i and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.026 and -13?\nAnswer: -0.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-190 - -176) + 2\/(4\/14)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0.14 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56787 + -43?\nAnswer: 56744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.061 (b) -3 (c) -491 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26619173\/72981990 - -1\/528855. Calculate the common denominator of d and 95\/46.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 175*m + 516. Give g(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**3 - 47*y**2 - 3*y + 232. Let c(a) = 5*a - 357 - a + 142*a**2 + 4*a - 339 - 17*a**3. Let x(q) = 8*b(q) + 3*c(q). Differentiate x(m) wrt m.\nAnswer: -9*m**2 + 100*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x - 9\/2*x**2 - 25. Let g be n(-3). Solve 4*l - 11 = -g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 31 = -6*n - 5*m, 4*n - 3*m = 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4863 (base 9) in base 4?\nAnswer: 320211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 13. Solve 3*k = -3*h, -12 = -k + z*k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 452 = 2*q, 90 + 185 = 3*t + 5*q. Suppose -3*v + t = 2*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-6)))\/g**3)\/(g\/(g\/(g\/((g*g**(-1))\/g)))*g**(-2\/5)))\/((g*g**(6\/11)*g*g*g\/g**(1\/5)*g)\/(g\/(g\/g**5)*g**(-1\/8))) assuming g is positive.\nAnswer: g**(-4871\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -143\/163 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-8))\/(1\/4). Let s = 1271 + -1268. Let m = 13 - 19. Sort s, i, m in increasing order.\nAnswer: m, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*-1*1*sqrt(77))\/(sqrt(44)\/(sqrt(4) - (sqrt(4) + sqrt(16)\/sqrt(4))) - -6*sqrt(11)*-2).\nAnswer: -12*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 20, 39 in ascending order.\nAnswer: 10, 20, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**1*n)*n**(-5\/3)*n)\/((n*n*(n\/((n\/(n*n*n**21*n*n))\/n))\/n)\/(n*(n\/n**(8\/5))\/n*n)) assuming n is positive.\nAnswer: n**(-424\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13895604 rounded to the nearest 100000?\nAnswer: 13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o + 2. Let q be z(5). Let m(s) = -s**2 - 5*s - 3. Let d be m(-4). Calculate the remainder when d + 2 - 2 - q is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(-1)\/15 - (-3)\/9.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1038*a**2*m + 295*a**2 - 422170*a*m wrt a.\nAnswer: -2076*m + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 15*10\/75. Let y be (30\/10)\/(3\/(-2)). Sort 5, y, j, -1.\nAnswer: y, -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/12 + (-290)\/(-24))*6. Suppose k = -18*f + f. Which is smaller: f or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 37. Which is the biggest value? (a) 1 (b) -12\/11 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/336*5004\/81 and 89\/540.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1387322571 to the nearest integer?\nAnswer: 37247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 661 and 7\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 15 = 178*x - 177*x, -h - 3*h + 63 = -8*h - 3*x for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p + 8. Let k = 44 - 42. Suppose 21 = k*l + l. Determine u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -0.5 (b) -3\/2 (c) -5 (d) 3 (e) 0.04199\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.7 + -47.7. Which is the nearest to 0.15? (a) -3\/2 (b) -5 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 359 - 155. Let w be (6\/(-5))\/(66\/(-660)). Calculate the greatest common divisor of w and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -12 - 4. Solve -2*w = 4*a - 3*w + 3, 5*a - y*w = -6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3654 - 617. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(40)\/(sqrt(32) + sqrt(2)))\/(3*sqrt(12)\/sqrt(3))*5.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**4\/42 - m**3\/21 + 2*m**2\/7 - 2*m. Factor h(y).\nAnswer: -2*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((sqrt(121)*1 - sqrt(121)) + sqrt(121) + sqrt(121)) - sqrt(121))*-2)\/(sqrt(11) - (sqrt(11) - sqrt(44)\/sqrt(4)*-3)).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1995 or 1?\nAnswer: -0.1995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.076 - 0.076. Put h, 2\/11, -2\/3, -1\/8 in decreasing order.\nAnswer: 2\/11, h, -1\/8, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 8*n**2 - 6*n - 6. Let k = -77724 + 77747. Calculate the remainder when t(-6) is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 14*x**2. Let q(y) = -3*y - 18 + 6*y + 6 + 19*y + 10. Determine b(q(i)).\nAnswer: 6776*i**2 - 1232*i + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 8*k - 26. What is the tens digit of o(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t + 62. Let i be y(10). Sort -29, i, -10 in increasing order.\nAnswer: -29, -10, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*x - 301*x = 2*z + 44, -6*x + 72 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053079, 2106177, 3159239, 4212247, 5265183, 6318029, 7370767, 8423379?\nAnswer: 9475847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83896*j - 167786*j + 83891*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1349*-0.1\nAnswer: 0.01349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000230493448 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 6*h + 1. Let f(x) = -x**3 + 6*x**2 + 2*x - 7. Let c be f(6). What is the units digit of a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197*j + 4 = -196*j. Solve -j*k - k - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -138.8\nAnswer: 6.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l**2 - 8*l - 24. What is the remainder when 130 is divided by n(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s = 25*s + 126. Suppose 3*o + 398 - 1109 = 0. Suppose -2*r + 2 = 0, 5*g - 3*r = -0*r + o. What is the greatest common factor of s and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -6670*z**3 + 116*z**2 - 348*z - 232. Let q(w) = 3*w**3 - w**2 + 3*w + 2. Give -j(u) - 116*q(u).\nAnswer: 6322*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 508704*f*k**3*v**3 - f*k**3*v**2 - 3*f*k**3 + f*k**2*v - f*k*v**6 - 44*f*k*v + 52*k*v**2 wrt v.\nAnswer: 3052224*f*k**3 - 120*f*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52393, -51810, -51225, -50638, -50049, -49458?\n\"Answer: i**2 + 580*i - 52974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*j**2 + 120*a**3*j + a*j**4 - 6*j**4 - 3*j wrt j?\nAnswer: 2*a**3 + 12*a*j**2 - 72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -3*j**6\/2 - 35*j**5\/4 - 40*j**4\/3 + 10*j**3\/3 + 120*j - 14. Determine z so that d(z) = 0.\nAnswer: -2, 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a + 0*a**3 - 2*a**2 + 1\/4*a**4 - 3. Let r be h(2). Solve 0 = 4*j - r*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(20\/(-15)) - -2) + -8. Let t(g) = -g**3 + 4*g**3 + 1 - g - 4*g**3 - 4*g**2. Determine t(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 4. Put -2, u, 0 in ascending order.\nAnswer: -2, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 15*w**2 + 27*w + 66. List the prime factors of m(-22).\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 4983?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -3 + 3 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1713 - -0.2713. Let p be (2324\/21)\/(34\/(-78)). Let z = p + 254. Put z, -1\/2, t in increasing order.\nAnswer: -1\/2, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 2196366, 2.\nAnswer: -54, 2, 2196366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 2681 = -487. Calculate the highest common divisor of 33 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-225)*21 - -1086*16\/(-240).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -936*v**3 + 2136*v**3 - 1118*v**3.\nAnswer: 82*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/10, -1\/56, 14 in descending order.\nAnswer: 14, 1\/10, 0, -1\/56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34a4 + -2?\nAnswer: -34a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3245634 + 1623795 + 2*x**2 + 1621839.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/90 and ((-1)\/144)\/(5\/(-1490)) - 3.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let t be (3\/z)\/(1\/4). Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 1806*b - 1817*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -624*c**2 + 36*c + 4. What is j(1)?\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 129 - -57 - 4\/2. Suppose -g*y = -185*y + 12. Let k be (-1)\/2 - (-1)\/2. Solve k = -i + 4*i - y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-12)\/102 + 154784\/136 and 12.\nAnswer: 6828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21538337.\nAnswer: 17, 499, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/17765 and -7\/3553.\nAnswer: 17765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(19) - 6*sqrt(38)\/sqrt(2)) + (-2*sqrt(38))\/sqrt(2))**2 + 5 + sqrt(76)\/sqrt(4) + 0 + 0.\nAnswer: -4650 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1403, -4.\nAnswer: -1403, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 5*j**2 - 5*j + 10. Let x be n(5). Let r be 2 + (12\/x - (-129)\/5). Solve -4*q - r + 11 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1273986 less than or equal to -13\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*h - 341, -3*f + 36 = -h - 85. Let j be (-138)\/h + (-4)\/10. Suppose 0 = -5*p + p + 8. What is the closest to 0.2 in 3, p, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12444 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/16 and (6 - 970\/144)*(-2)\/1.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + f - 8, -4*v + 2*f - 14 = 0. Let z(i) = -51857 + 2*i + 51855 + 2*i**2 + i. Let y(h) = h - 1. Calculate v*z(u) + 4*y(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102410 to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74420*t = 74423*t - 3*i + 15, -5 = t + 5*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/1925, 1\/11, -0.2 in ascending order.\nAnswer: -0.2, 2\/1925, 1\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 259097 + 3?\nAnswer: 25909a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198a613 (base 11) to base 2.\nAnswer: -1100110010011010000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 127.99999941 + -128. What is l rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 4*j + 5*k, -56*j - k = -51*j - 34 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 4*p**2 - 7*p - 3. Let b = 7 + 4. Suppose -d - 4*u = -b, 3*d - 2*u = 6*d + 7. Is q(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20952 + 45851. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38555.15 litres in millilitres?\nAnswer: 38555150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14095, -28385, -43045, -58261, -74219, -91105?\nAnswer: -109105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = -0. Suppose -m = 0, m - 54 = -3*g + y*m. Let q(w) = 52*w**2. Calculate the remainder when q(1) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 - 145784*j - 145786 = 0.\nAnswer: -1, 72893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-359 - 828 - 96)*(-3*g - 2*g + 2*g) to h*g + f and give h.\nAnswer: 3849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3224063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*u + 6. Let i(s) be the first derivative of 7*s**3\/3 - 5*s**2\/2 - 5*s - 1. Let r(h) = 6*h**2 + 1 - 5 + 0*h**2 - 4*h. What is u*i(j) + 5*r(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 2:31 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b + 40*b = 64. Let o(t) = t**3 - 3*t**2 - t - 4. What is o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -7*v + 44. What is the smallest common multiple of v and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -324 + 561. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -73, -116, -163, -214, -269?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -3. Let y = 10 + -10. Solve y*p + 2*p - 10 = t for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)\/n*(n*((((n\/n**(11\/5))\/n)\/n)\/n)\/n*n)\/n)\/((n\/(n*n**(-18)))\/n*n\/((n*n\/(n**(-14)\/n))\/n*n)*n*n) assuming n is positive.\nAnswer: n**(-277\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -148\/9?\nAnswer: -148\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475 - 445. What is the remainder when 101 is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034 is divided by 138.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*5)\/((sqrt(18)*2)\/sqrt(6)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 11 + (0 - 3) - (-5 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - u + 25*u**3 + 2*u + 0*u - 10*u**3 - 12*u**3 to the form p + t*u**2 + f*u + v*u**3 and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 10) in base 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96028171?\nAnswer: 96028171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 201 or 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1808 and 7571?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39263 * -72.\nAnswer: 2826936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 5 - (1 - 9)) + (71 - 95)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**16*i\/(i\/i**13)*i*i*i**(3\/8)*i**(-11)*i assuming i is positive.\nAnswer: i**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.708235335 and 6.6.\nAnswer: 4.891764665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 70. Calculate the remainder when 46 is divided by v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1006, 1.\nAnswer: -2, 1, 2, 1006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 5. Suppose 5*a + 19*v - 85 = 24*v, 5*v - 35 = -5*a. Suppose -67*f + 65*f = a. Calculate c(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 162*s**3 + 48*s**2. Let w(q) = -17*q**3 - 5*q**2. Give -5*i(b) - 48*w(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c. Let u(d) = 38*d - 18*d - 9*d. Determine -34*g(x) + 6*u(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -515dc (base 15) to base 13\nAnswer: -90483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4\/7 (b) -135 (c) 53 (d) 3\/5 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 51*a**3 - 554*a**3 - 8.\nAnswer: -503*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-24))\/((-27)\/12)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766762377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(34\/170).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 19*l**3 + 2*l**2 + 15*l - 18. Let o be q(1). Let u(s) be the first derivative of -3\/4*s**4 - 2*s**3 + o - 3\/2*s**2 + 0*s. Let u(f) = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.14, -791, -792, -4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9449 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*g = g - 24, 3*h - g = 13. Let k = -3 + 1. What is the biggest value in k, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642341182 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56229 minus 215984?\nAnswer: -215983.43771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2417350 to the power of 1\/2, to the nearest integer?\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + sqrt(175) + (-2*sqrt(175) + sqrt(175))*-4 + 4 + 4)**2 - (-1 + sqrt(700) + -5 + -1)**2*-6.\nAnswer: -360*sqrt(7) + 10858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + 3*a. Let s(r) = -r - 2*r**a - 2*r + 3*r. Let j(t) = 2*t. Give j(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12608 divided by 3152?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (130 + 89 + 74)*(-2*g - 10*g - 2*g) to p + f*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + u + 3. Let n(m) = -6*m**2 + 5*m + 15. Let w(q) = 5*a(q) - n(q). Let y(k) = 0 - 37*k + 0. Give y(w(v)).\nAnswer: -37*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-180)*18\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 5*q - 4. Let s = 1 - 2. What is the smallest common multiple of s\/(1 - 17\/16) and h(-8)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-45)\/(((n**(-4)*n)\/n)\/n**(1\/8)) assuming n is positive.\nAnswer: n**(273\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -10*b - 14. Let l(y) = -y + 1. What is -12*l(d) + z(d)?\nAnswer: 2*d - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -0*c + 9. Suppose -5*k = 4*i - 2*k + 4, 0 = -c*i - k + 2. Let m be 36\/8*i\/(-3). Is m greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1001 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 311519392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198174869\/42744 - 60272\/13. What is the common denominator of a and -13\/20?\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 305.24 or -1.5?\nAnswer: 305.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2396585, -4793179, -7189777, -9586379, -11982985, -14379595, -16776209?\nAnswer: -19172827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 a when two letters picked without replacement from {e: 1, a: 5, i: 1, l: 3, z: 3}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*m - 8 - 25 - 47 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (908 - -2)*2\/(-5). Let c be (-3)\/(r\/352 - -1). Let z = -29 + c. List the prime factors of z.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2.4. Let l = f - 0.8. Which is the nearest to -0.1? (a) 0.5 (b) -0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/991 + -68371\/3964. Let v(h) = -728*h - 18. Let a be v(7). Let f = 45961\/9 + a. Calculate the common denominator of f and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 357985*g**3 - 3221595*g**2 - 9664515*g - 9664380.\nAnswer: -5*(g + 3)**3*(g + 71588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + m = -3*m - 195, 0 = -f - 4*m + 15. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 76. Which is the smallest value? (a) 0 (b) i (c) -3\/2 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (616*x + 81190 - 81190)*(0*x + 3*x - x) + 2 - 2 + 2*x**2 as u*x + o + d*x**2 and give d.\nAnswer: 1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 7) + 11 - (-7 - -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j - 64. Let d be a(-67). Let s = -6 - -11. Suppose 0 = s*l - 3*l. Is l less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 16*c - 27. Give j(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462020.\nAnswer: 2, 3, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 + 1096926462*o - 100270638586319787 = 0. Calculate o.\nAnswer: 182821077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h\/h**(2\/17)))*h*h)*h)**33\/(h**(-3\/26)\/h*h*h*h\/(h*h**(-2\/47))) assuming h is positive.\nAnswer: h**(-624151\/20774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60599, -121194, -181793, -242396, -303003?\nAnswer: -363614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/sqrt(4)*2)\/((2*sqrt(3) + sqrt(3))*-2)*3 - (2 + sqrt(57)\/(sqrt(72)\/sqrt(6)) + 3).\nAnswer: -3*sqrt(19)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -34*c - 1605. Determine r(-45).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 - y - 7. Suppose 3*s + 0*s = -12. Let m(g) = g**2 - 2*g. Calculate the remainder when m(s) is divided by r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-275)\/22 - 3\/(-2). Which is bigger: -12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*0.15.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 11*d - 11. Let l be p(-9). Sort 4, -3, l in increasing order.\nAnswer: -3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/9 in -0.5, -2\/93, -0.7, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o**2 + 2. Let v be z(4). Solve k + v*k = -9 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 r, and 2 s when four letters picked without replacement from msmkskrrrskvrsrs.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4150 and -52\/43150787?\nAnswer: 2157539350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j = -4*j + c + 4, -5*j - 4*c = -26 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 13783*j + 55208. What is q(-4)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -1\/72 (c) -185\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, 0, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14) - 13*(-18)\/(-819)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192972383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (3 - (3 + 3)) + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 641835\/508 at least 1262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 25*t**3 - t**2 + 5*t - 5. Let q be r(2). Let d = q + -142. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 - 3*x - 6. Let y(u) = -u**2. Let m(t) = -p(t) + 4*y(t). Calculate the remainder when 21 is divided by m(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, 81, 673, 1185, 1593, 1873?\nAnswer: 2001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o + 49 = -28 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-963 - 846*d - 849*d + 2545*d - 846*d)*((-d + 0*d - 2*d)*(1 + 2 - 1) - d - d + 3*d).\nAnswer: -20*d**2 + 4815*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 29*i - 12*i - 9 to the form w + l*i and give l.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*-3*1.\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -0.4208876?\nAnswer: 4.4208876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7567, 0.01, 0, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -4. Let y(v) = -6 - 2*v + i + 2*v + 2*v**2. Give y(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 2*u. Let v = 10 - 2. Let q be 18\/8 + (-2)\/v. Calculate z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 824*j - 25 = 829*j - 3, 2*s = -5*j - 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1423\/35919 - -5\/921. Let n = 1\/13 - u. Sort 6, n, 5, -3 in ascending order.\nAnswer: -3, n, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-52))\/((-5)\/4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of q**6\/120 + 29*q**4\/12 + 30*q. Let s(l) be the third derivative of p(l). Let z(j) = 8*j. Give z(s(t)).\nAnswer: 48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1*(4 - 6). Suppose 0*o - 168 = -n*o. Suppose -2*v = -3*b - 75, 3*v = 2*v - 3*b + o. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4088*s - 565. Is i(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823413953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 183274 or 183294?\nAnswer: 183294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44545305 to 3 decimal places.\nAnswer: -0.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 g when two letters picked without replacement from {t: 2, g: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -13. Suppose -2*l = 2*l + 12, -5*y - 48 = -4*l. Let w be (-4)\/y - 6\/(-9). Solve t*x + j = -2*j - 7, 4*x + 3*j = w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3285 divided by 5.\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15714+-0.2\nAnswer: 15713.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38457766409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*k + 23*k - 3285 = 999 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 5 = 5*d + 3*h, -2*h = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 3. Suppose 5*b = 5*z - 25, -3*b + 7*z = 9*z. Determine o(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10971 divided by -1219\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67.7 + 20.2. Let f = -302 + 350. Let r = f + s. Which is the smallest value? (a) -0.4 (b) r (c) 0.4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.29 in -4, 2\/69, 3, 18, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -4, -33*v + 4*t - 5 = -34*v + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.3, -2\/9, -1.6, 5, -926?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -654 times -0.271378\nAnswer: 177.481212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -v**6\/240 - v**5\/60 - v**4\/48 + 2*v**2. Factor l(f).\nAnswer: -f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t**2 + 828 - 828.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8443, -8606, -8877, -9256, -9743?\n\"Answer: -54*y**2 - y - 8388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/6*2*3. Let p(f) = f + f - f + 8*f**2 + 1. List the prime factors of p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-78)\/(-52))\/(0 - (-9)\/51072). Suppose -13*i = 3*i - b. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22302955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2 + 14*i - 9. Let n(f) = 7*f**2 - 29*f + 19. Let t(c) = 6*n(c) + 13*v(c). What is the hundreds digit of t(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 5. Suppose 4*x - 6*x = 4*g - 24, 0 = x - 5*g + h. Suppose -2*d + 2 = 2*d + 3*v, 4*v = -d - x. Does 6\/5 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 262426648 to the nearest integer?\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/30*3080\/462?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/700)\/(3\/(-15))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eggmrxxxsermrx. What is prob of picking 2 m and 2 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8*(-16)\/24?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 432\/192*(-1204)\/(-21). Solve m*r = 116*r + 65 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364087 and 15775.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 309, 312, 315, 318, 321?\n\"Answer: 3*k + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -1, -4, -47 in increasing order.\nAnswer: -47, -10, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 40*n**2 + 0*n - 557 + 598 - 90*n. Is h(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2*(sqrt(19) + (sqrt(19) - (sqrt(19) + sqrt(95)\/((1*sqrt(5) - sqrt(5)) + sqrt(5))))) + -2)**2 - 6*(sqrt(19) + 0 + sqrt(19) + 2 + -2)).\nAnswer: -12*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 13*q + 9. Suppose -6 = -0*f - 3*f. Let y(s) = 3*s + 4 + 0*s**2 - 3 + 1 + s**f. Give -4*j(v) + 18*y(v).\nAnswer: 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6 + (156\/(-9))\/2. Let f be (12\/(-4))\/(q\/(-6)). Sort 0, -1, -4, f in descending order.\nAnswer: 0, -1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1199999*t**4\/4 + 12*t**3 + 2*t**2 - 28. Let v be d(12). Round v to the nearest one million.\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4386 + -855. Suppose m = 4*x + y + 1185, 4*m - 2344 = 2*x. Round x to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**5 - 6989*b**4 + 112*b**3 - 4689339*b wrt b.\nAnswer: 80*b**3 - 83868*b**2 + 672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 670897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 74 + 4*b**2 - 36 - 38. Let a(l) = 16*l**2. Calculate g(a(h)).\nAnswer: 1024*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 422606350 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/36 + 192636\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.64 - -0.02. Let g = -3.38 + q. Which is the nearest to 0.1? (a) 5 (b) g (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 62\/9*l - 2\/9*l**3 - 16\/9*l**2 - 44\/9 = 0. What is l?\nAnswer: -11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10\/8353, 10, -0.3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + o - 12 = -5, -o = 3*r - 13. Find the second derivative of 4*s + s + s**3 - 4*s**r wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 4:20 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158364*w - 31448*w**2 - 158364*w.\nAnswer: -31448*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 - 69. Suppose -6*b + a*b + 19 = 3*v, 0 = -4*v + 4*b + 12. Factor -v*h**2 + 11*h - 16*h**4 + 4*h**5 - 11*h**2 - 7*h + 24*h**3.\nAnswer: 4*h*(h - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 198957480 a multiple of 3021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 9 + -7 - 4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 59*p**2 + 27*p + 88. Let g be j(30). Sort 5, -1, -4, g.\nAnswer: -4, g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millimeter in micrometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1155775\/140 - (-1)\/(-4). Let l = h - 8239. Suppose 8\/7 + 48\/7*t + 78\/7*t**4 + l*t**2 + 18\/7*t**5 + 134\/7*t**3 = 0. What is t?\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -257351 and -0.5.\nAnswer: 128675.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10329073*c**2 + 31*c + 15795 wrt c.\nAnswer: 20658146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35812 and 367073.\nAnswer: 1468292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1033?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 12:49 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjzzuhxxsxxzszsss. What is prob of sequence zjux?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.13 or 316.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3 + 30 + f - 3 + 8. Does 15 divide k(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -464, -978, -1834, -3032, -4572, -6454?\n\"Answer: -171*v**2 - v - 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3241244084 plus -177.1?\nAnswer: -3241244261.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37 times 1\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/23*24\/864*-24?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1926 - -1926.3. Which is the second smallest value? (a) -13 (b) 12 (c) n (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 2*i - 35, i + 3*i - 35 = 3*o. Let x = 5 + o. Let g(s) = s**2 - 11. Calculate g(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/60 - r**4 - 24*r**3 + 9*r**2\/2 + 11*r - 1. Let w(f) be the first derivative of a(f). Factor w(d).\nAnswer: -(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {o: 5, w: 4, f: 9, a: 1, s: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13693132 divided by -1.\nAnswer: 13693132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -91*d + 17. Let r(f) = 102*f**2. What is q(r(y))?\nAnswer: -9282*y**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 127*d - 305*d**2 - d**3 + 0*d**3 + 147 - 149 + 304*d**2 to m*d**3 + y + t*d + j*d**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -677, -1371, -2065, -2759?\nAnswer: -3453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1320\/(-11)*(-3)\/(-8)*138\/(-138).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (4 - 2) - 14. Let f = -1 - z. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111011101111011111 + -10000101?\nAnswer: 11111011101101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(4 - -3)*2. Suppose 5*h - i = -o, 8 = 2*o + 3*h + 1. Let r(z) = -51*z + 1. List the prime factors of r(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -i**5\/20 - 5*i**4\/6 + 23*i**3\/6 - 6*i**2 - 3*i + 18. Factor f(x).\nAnswer: -(x - 1)**2*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 80847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 2*s**2 + 4*s**2 + 237*s - s**2.\nAnswer: -2*s**2 + 237*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2132 and -103\/66994?\nAnswer: 1741844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*c - 5*t, 6*c - 5*t = c + 45. Let v(n) = -3*n - c + 2*n + 2*n. Let h(k) = -2*k + 11. Calculate -6*h(w) - 13*v(w).\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -203 + 202.458. Let d = r + 0.042. Which is the third biggest value? (a) -2\/17 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/723801185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -241, -371, -605, -943, -1385, -1931, -2581?\n\"Answer: -52*c**2 + 26*c - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5043466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -306, -459, -664, -915, -1206?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/1*4. Let y(g) = g**3 + 2*g**2 - 6*g - 2. Let x be y(p). Sort -5, -3, x, 15 in decreasing order.\nAnswer: 15, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35a8a (base 15) to base 2\nAnswer: -101001110001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*b - 254 - 36, 5*w + 500 = 5*b. Let j = 41 + -37. Suppose -3*x + b = j*x. Solve -x = -5*t + 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5644 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 5*f - 7. Let w be x(6). Let v = -27 - w. What is the units digit of (3 + v)*1\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**4)**(14\/3)*n\/n**(-3\/8)*n**(-2\/3))**(1\/4) assuming n is positive.\nAnswer: n**(-319\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/4 and (-760)\/225 - (-4)\/(-10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s + 15. Let y be b(0). Suppose 3*m - y = -2*m. Solve 2*g - 4 = 2*p, -m*g - 2*p - 2*p = -6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**4*i + 37*h**4 + 72*i wrt h?\nAnswer: 8*h**3*i + 148*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1006, 1212, 1548, 2020, 2634, 3396?\nAnswer: 4312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 182\/5 + 2\/(-5). Suppose -420 = -53*f + 41*f. Which is bigger: h or f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 13*z + 30 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 380 and 379810?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 8*t**2 - 15*t + 7. Suppose -13*u - 260 = -325. Determine x(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 432\/36 - (-5812)\/1.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/45*-3*(-36)\/2268*-27.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/57 (b) 0.2629 (c) -17.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 906*x + 3 + 980*x - 3 - 2367*x as b + y*x and give y.\nAnswer: -481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from spssjnpqqnnjspjj. What is prob of picking 1 s, 1 p, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 18*q + 2325. Let g(z) = 23*z - 1. What is g(j(r))?\nAnswer: 414*r + 53474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2\/7, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90619008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxt when four letters picked without replacement from xtbbbtbt.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/21)\/(((-2442)\/(-22792))\/((-1)\/(-12)))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**3 + x**2 - 5*x - 5. Let q(k) = 10*k**3 + 3*k**2 - 9*k - 9. What is 11*a(m) - 6*q(m)?\nAnswer: -5*m**3 - 7*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwwzzxwxtwwzwwux. Give prob of sequence twuz.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + g + 65. Suppose 0 = d, 3*z = -4*d + g + 23. Solve -m = -w + 3*m - z, 0 = -w + m for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 n, and 1 y when four letters picked without replacement from ynppynpn.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1896642 and 229896.\nAnswer: 7586568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 4*k)*(-4 + 2 - 3) - 2 - 11*k + 11*k - 8*k to d*k + y and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857965?\nAnswer: 5, 29, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**5 - 171010*p**4 + 1950425400*p**3 - 7427197587040*p**2 + 103598951899520*p.\nAnswer: 5*p*(p - 11396)**3*(p - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - 26*j + 50. Let p be f(24). Suppose p*c = -n + 3*c + 384, 1870 = 5*n + 5*c. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(-14))\/m**0*m*m**(-2\/3)*(m\/m**(-3\/8))\/m assuming m is positive.\nAnswer: m**(401\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -525705*y - 2222. Let k(h) = 1891*h + 8. Calculate -1111*k(q) - 4*x(q).\nAnswer: 1919*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -306111.\nAnswer: 49\/306111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 350 and 1159228.\nAnswer: 28980700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**2 + 36*x - 149. What is the units digit of o(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11593 + 8*j**3 - 11593.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2.1365127 days?\nAnswer: 0.3052161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - h - 3*q - 20, 0 = 2*h + 2*q - 40. Let s = 23 - 5. What is the least common multiple of s and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/28 - 18\/(-4). Let a(j) = -j**3 + 7*j**2 - 4*j - 12. Let i be a(o). Solve 0 = -4*p - 2*u - i, 2*u - 3*u = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-6) - 4\/6. Suppose -v + 13 = 3*x. Suppose x*b - 72 = -b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + d + 2262 = 0, -3*i + 2*d = -8*i + 2821. Let l = i + -313. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -8. Suppose -27 = 4*d - 39. Put y, 2, d in ascending order.\nAnswer: y, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/650475 and -2\/7299775.\nAnswer: 65697975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43723\/25872 - 4\/1617. Find the common denominator of c and -101\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(405)*-1)**2 - (sqrt(20)\/sqrt(2)*-1)\/(sqrt(72)\/sqrt(4)).\nAnswer: sqrt(5)\/3 + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33547143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - c + 484 = -2043, -4*c + 1905 = 3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let t be 2*z*44\/(-16). Let n(s) = 5*s**2 + 5*s + 6*s**2 - 3*s**2. Let d(y) = -3*y**2 - 2*y. Determine t*d(x) - 4*n(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + 8 - 5) + 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 7 = -3*n, 9*n + 2*g + 1045 - 1014 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 896009372?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 - 5*j - 2. Let a(y) = y**3 + 4*y**2 - 6*y - 2. Give -5*a(p) + 6*s(p).\nAnswer: p**3 + 4*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03125 + 2.\nAnswer: 1.96875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a + 27 + 25. Suppose -56*x - a = -57*x. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11529934?\nAnswer: 2, 13, 43, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10760\/7 - 1536. Factor -8\/7*q - 2\/7*q**3 + 0 + b*q**2.\nAnswer: -2*q*(q - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -242*i + 137*i + 175*i - 3*i + 7*i - 6*i - 3 + (3*i - 3*i + 2*i)*(1 + 1 - 4) + (-4 + 6 + 0)*(0*i + 7*i - 2*i) to the form h + z*i and give z.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75480 = 26*d + 17*d - 28*d. Is d a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 34*j - 21 = 0. Solve -d - 12 = -5*q, -q + j*d - 15 = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 32*v - 2 - 17*v - 29*v to the form w*v + k and give w.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48632753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2274?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-870)\/(-290))\/((-9)\/78)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 - 67 - 7*a + 67 + a**3.\nAnswer: a**3 + 15*a**2 - 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -342415 (base 7) in base 5?\nAnswer: -3422134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/228 and -69\/418.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*b - 32*b - 24. Let i(q) be the first derivative of q**3\/3 + q**2 - 5*q - 2. Calculate the remainder when i(b) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y + 3*y + 2542 - 25*y**2 - 2542 to m*y**2 + p + h*y and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4674, -4685, -4694, -4701, -4706, -4709?\nAnswer: -4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*c + 18*c + 28*c)*(1 - 1 + 1 + (-1 + 2 + 1)*(2 - 2 + 2) + 2 + 51 + 8)*(3 - 1 + 0).\nAnswer: 4884*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 + 0)\/(-4))\/((-21)\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/157364357 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 21 = -4*n, -4*n = -5*u - n - 54. Let k be 7804\/(-7) - u\/(-63). Let f = 2232 + k. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*b*m**3 - b*m**2 + 119*m**2 wrt m.\nAnswer: 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -7. Let b be 5\/q - (-2)\/(-6). What are the prime factors of (3\/b)\/(4\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03 and 105285.\nAnswer: 3158.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14937474?\nAnswer: 2, 3, 31, 80309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1048375.69 + 0.29111\nAnswer: 1048375.98111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*-0.3\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -8)*(-6 - -7)*(56 + -68).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 8 - 16 + 2*y + y**2 - 2*y. Let o(c) = -9*c**2. Determine o(w(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*h = -41, -93 = -5*s - 4*h + h. Calculate the lowest common multiple of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -7*g**2\/2 + 1. Let k(q) = -5*q + 4. Let f(h) = -13 + 21 - 7. Let o(n) = 4*f(n) - k(n). Determine o(i(s)).\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 525*0.4\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -1455, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (24\/20)\/((-8)\/(-60)). Let m = 11 - a. Suppose -36 = -m*y - 8. Solve 0 = 5*x - 4*h - 41, 3*x - 2*h = y + 9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/197 and -9\/45400.\nAnswer: 8943800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -89071 in decreasing order.\nAnswer: 2, -4, -89071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 - (-9 + (-1 - (-3 - 7)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.529 - -0.029. Which is the third biggest value? (a) -3 (b) -2\/11 (c) l (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2809910.\nAnswer: 2, 5, 19, 23, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13287536, -13287537, -13287538, -13287539?\nAnswer: -13287540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*l - 8*l - 614, 2*w + l = 392. Suppose 2*u - 130 = -2*z + w, -2*u + 334 = 4*z. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w**2 - w. Let d be (1 - 0) + -3 + (2 - -1). Let m be a(d). Solve 0*q - m = 3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t + 687 = 4*s, -s + 3*t + 177 = 0. Suppose 4*z - r + 0*r - 202 = 0, 0 = -2*z + 2*r + 98. Suppose 0 = -3*y - z + s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-25*(-5)\/75)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 284868 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v**5 + 21160*v**4 - 22701990*v**3 + 665007680*v**2 - 3020198005*v - 3707928840 = 0 for v.\nAnswer: -1, 7, 24, 2101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence remm when four letters picked without replacement from etssttmsstttmstsrwms?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.14011 to 3 dps.\nAnswer: -1.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 49*s**2. Let j(u) = -2*u**2 + 3*u + 2. Let m(a) = -a**2 + 3*a + 2. Let k(i) = -j(i) + m(i). Determine k(w(t)).\nAnswer: 2401*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66789 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59 and 4360686283.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - 1*sqrt(132))*-5 - 1*-3*sqrt(132))\/((1*sqrt(2940) - sqrt(2940) - sqrt(2940))\/((sqrt(200) + sqrt(50))\/sqrt(10))).\nAnswer: -9*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -19*s**7\/210 - 5*s**4\/8 + 20*s**2. What is the second derivative of b(p) wrt p?\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/36*(-1)\/(-6)*11\/(-99).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -49*q - 94. Let n be f(-2). Solve -2*w - k + 6*k = 6, 0 = w + n*k - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 24 = 5*r. Let l be (-3)\/(r*4\/(-16)). Let f(u) = u**2 - 3*u - 1. What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 376499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus 299681756.66?\nAnswer: 299681751.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**5\/7 - 130*p**4\/7 + 22*p**3\/7 + 1394*p**2\/7 - 332*p + 1040\/7 = 0. Calculate p.\nAnswer: -65, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37677.\nAnswer: 3, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/1333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -429 - -778. Suppose -x = -j + 42. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}