{"text":"Question: Which is greater: 33480 or 34181?\nAnswer: 34181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -3979*p + 4903. Let v(g) = 3*g + 3. Let d(b) = a(b) - 2*v(b). Differentiate d(j) with respect to j.\nAnswer: -3985","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -102838, -102837, -102836, -102835?\n\"Answer: m - 102839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 12. Which is the second biggest value?  (a) 0.5  (b) 5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2\/639 + 2546\/3195. Find s, given that 0 + 2\/5*s**2 + v*s = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 2\/5, 4\/3, -5, -0.0984, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.037207433 rounded to four decimal places?\nAnswer: -0.0372","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 5 + (-1)\/2*-2. Let d be 6\/(-10) + (-9)\/(-15). Suppose d = 3*r + 2*r - 330. What is the highest common divisor of t and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41 - 10022?\nAnswer: -4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 7) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 + 11*a - 4. Let w be o(8). Let h = w - 9. Let g = h - -8. Solve u + v = -v + 11, -g = -u - 4*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 120406 and 67263170?\nAnswer: 739894870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2802 + 2948.45. Let t = n + -150. What is t rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -107 - -410. Suppose 177 + b = -4*n. Let c be 6\/((-9)\/n*2). What is the greatest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20911 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of g**5\/10 + 7*g**4\/12 - g**3\/3 - 185*g. Let u(j) = 5*j**3 + 20*j**2 - 6*j. What is 3*u(z) - 8*x(z)?\nAnswer: -z**3 + 4*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -6  (b) 12  (c) -5  (d) 534  (e) -0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 4*s**3 + s**2 - 1. Let x be q(1). Let v = x - 7. Let g = 9 - v. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -92. Let r = s - -48. What is the greatest common factor of r and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cu when two letters picked without replacement from {e: 1, u: 2, b: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = v**2 - 5*v + 5. Suppose 0*c + 2*c - 8 = 0. Let t be d(c). Let g = 23\/6 - 5\/2. Is t < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uz when two letters picked without replacement from wizuf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*a - 45*a + 8 = 0. Suppose 5*q - 7*i + 4*i = 4322, -a*i + 2 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1085)\/(-2170)*((-6)\/(-3))\/((-1)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b**3 + 7*b**2 + 6*b. Calculate z(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**2 - 1. Let w be (-275)\/(-44) - (-1)\/(-4). Let y(k) = 10*k**2 + 6. Let p = 36 + -35. Determine p*y(j) + w*f(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q = -968 + 941 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -h**7\/2520 + 11*h**6\/720 - 3*h**5\/40 - h**4\/12 - 7*h. Let f(o) be the third derivative of z(o). What is f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 679 and 381255784?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*l = 6*f - 1209, 4*l = -20. Let u = f - 306. Solve u = -3*q + q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 508*b - 508*b + 134944*b**2.\nAnswer: 134944*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of -a**5\/20 + 2*a**4\/3 + 3*a**3\/2 - 2*a. Let i be (-2)\/8 + (-37)\/(-4). Let x be f(i). Solve -j - j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*l - 123 = 957. Let h(s) = s - 31. Determine h(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10101 and 659477?\nAnswer: 73201947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 7 + -12 + 1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 32 and 9488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -2*w + 3, -5*m + 13 - 108 = -5*w. Solve 2*c + 13*t = 10*t - w, 9*t = -18 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -497\/2 + 746\/3. Let m = -2.6 + 3. Sort f, m, 3 in increasing order.\nAnswer: f, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.01 and -207996.05725.\nAnswer: -207996.04725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32.352 - 32.3520018061. Round g to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x + 13. Let n be p(10). Solve -a = -2*m + 2, -2*a = -n*m + 2*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 232791679 and 1695673?\nAnswer: 1629541753","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -15*r - 21. Suppose 0*h - 44 = 4*h. Let j(q) = -23 + 12 + 3*q + 15. Let g(c) = h*j(c) - 2*l(c). Differentiate g(w) with respect to w.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - (2 + -1 + 2)) + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10822189 is divided by 680.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - c**2 + 6*c - 1. Let t = -27 + 29. Let o be l(t). Solve 5*x - 40 = -o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -58 + 41 + 288516\/12 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -3, -0.5, -0.3, 1, 487?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 82453529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/4 + 37\/(-4). Let k(t) = 2*t**2 - 13*t + 9. Let r be k(6). Let y = -9 + 7. Sort r, j, y, -1 in ascending order.\nAnswer: j, y, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.23, -2.583, -4 in descending order.\nAnswer: 0.23, -2.583, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2888 + -2887.6. What is the nearest to -4\/3 in 2\/13, -0.4, d, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40310225 is divided by 139?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -82\/1155 and -92\/735.\nAnswer: 8085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 185 = 13*u + 55 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**3\/7 - 14313*o**2\/7 - 12321720*o - 13090725900.\nAnswer: 3*(o - 8551)*(o + 1890)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1414311 (base 5) to base 7.\nAnswer: -151341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 29 = 5*b - b, 0 = 2*d - 3*b - 7. Suppose j + h + 159 = 6*j, -d*h + 135 = 5*j. Does 25 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/7 in 3\/5, -0.1, -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46154 is divided by 11531.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 5:38 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10.6405 - -45228.3595. Let h = -45241.59945 + m. Let i = 2.6 + h. What is i rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 90.97 + -91. What is the third biggest value in g, -2\/39, 0.3, -1\/5?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -5*k + 2. Let b(z) = z + 1. Let c(s) = -4*b(s) - h(s). Let t be c(5). Let n = 5\/8 + -9\/8. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, s: 2, t: 6, p: 1, v: 3}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 3*r**2\/7 + 58089*r\/7 + 116166\/7 = 0.\nAnswer: -19361, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n + 2. Suppose 14 = 2*r - x - x, -3*r = 3*x - 27. Let b be m(r). Let p = 12 - b. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 296156.76ms to minutes.\nAnswer: 4.935946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 2544970.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 574662?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -5*w**3 + 89*w**2 - 87*w + 348. Give f(17).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3*r + 14. Let j be q(-6). Let x = 3 - j. Solve -x*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5190 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaazwezaesezae. What is prob of picking 2 z and 1 e?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (14\/(-9))\/((-1000)\/4500). Sort i, 2, 3, -3, -59 in decreasing order.\nAnswer: i, 3, 2, -3, -59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 468947825 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - (-13)\/(-14))*-2. Let z be 3\/24 + 36\/224. Sort 3, l, z in increasing order.\nAnswer: l, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - q - 3*z - 173 = 0, 4*q = -4*z + 396. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 143\/2  (b) 5  (c) 3  (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -2*a - 6. Let z be l(-8). Let u = z - 10. Suppose u = 3*w - 7 - 26. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5*g - 11*g**2 + 7*g**2 + 1 + 5*g**2. Let l(u) = -3*u**2 + 14*u - 3. Suppose -5 = 5*t - n + 5*n, -3*n - 9 = 2*t. Determine t*l(r) + 8*o(r).\nAnswer: -r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 10*o**2. Suppose -2*k + c = -6, -5*k - 6*c = -c. Suppose -3*l - 4 = -4*q + k, 5*l = 10. Calculate the least common multiple of q and i(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3.1 - 3. Let l be -5 + 63\/(-36)*(-44)\/14. Let o = -1.58 + 3.58. Sort l, o, -2, x in ascending order.\nAnswer: -2, x, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -5\/2  (b) 0.4  (c) -2  (d) -45  (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1308 and 3768.\nAnswer: 410712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 22 - 15 + 16*f.\nAnswer: 16*f - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 2944723904986+-38\nAnswer: 2944723904948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-652)\/44 + 6\/(-33). Let a(o) = 2*o - 25. Let r be a(14). Let l be r + -4 - 12\/d. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y. Let f(k) = 6*k - 331. Determine f(c) + 3*j(c).\nAnswer: 3*c - 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2621681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + -9 + (-207)\/(-3). Suppose 64 = 5*o + 3*n, 94*o = 99*o + n - p. Solve 0 = -0*a - a + 5*s - o, 3*s - 1 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:42 AM and 1:39 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 186*m + 7495. Give r(-59).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -h**2 - 4. Let f(j) = -j**2 + j - 3. Let d(m) = 5*c(m) - 4*f(m). Let z be d(3). Is z bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -58 + 178. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 223010022110 - 12?\nAnswer: 223010022032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 AM and 9:05 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 42 + -15. Let z = c - 23. Suppose -z*d = -5*p - 44, 0 = -d + 4*p + 9 + 2. Calculate the remainder when 20 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 + 3*h - 5 + (3*h - 3*h - 2*h)*(4 + 0 - 3) + (-5*h - 4*h + 3*h)*(-1 + 2 + 1).\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.46 or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 4) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 0)*(0*i - 4*i + i)*(2 - 5 + 2)*(0*i**2 + 0*i**2 + 3*i**3).\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o*(((o*o**(-1)*o)\/o)\/o)\/o*o*o*o)**19\/(o**(-1))**(-13) assuming o is positive.\nAnswer: o**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*n + 3 - 468*n**4 - 5*n**3 - 5*n + 492*n**4 to the form m + h*n**3 + b*n + d*n**4 + i*n**2 and give d.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 2\/5, 30, 2\/11?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 95, 0.6, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((380\/(-7))\/1)\/((-111)\/(-24605)). Let t = z + 5559571\/462. Calculate the common denominator of t and -79\/2.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 341 + -340.835. Let p = -0.15499 + w. Round p to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 51*y**4 + 114*y**3 - 156*y - 25 wrt y.\nAnswer: 612*y**2 + 684*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*w**5 + 0*w**5 + 2*w**5 + (1 - 4 + 4)*(w**4 - w**4 + 2*w**5) + 2*w**5 - w + w + 4*w**5 + 3*w**5 + 2*w**5.\nAnswer: 15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -302929 by -62.\nAnswer: 302929\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -831*g**3 - 341*g**3 - 785*g**3 - 832*g**3 + 2783*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 37 divided by 1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 + -36. Suppose -80*h = -77*h - 33. Let u = t - h. What is the highest common factor of 21 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 9*y**2 - 2*y + 8. Let g be k(2). Suppose -o + 191 = 5*t - 153, -3*o = -4*t + 260. Let p = t - g. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -65*y**3 + 151 - 54*y**3 + 2534*y - 2532*y wrt y?\nAnswer: -357*y**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 6*v = 0. Factor 0*w + v - 2\/5*w**2.\nAnswer: -2*w**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1460 by -124131.\nAnswer: 1460\/124131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 308 - 308. Suppose 4*g + 6*g + 50 = l. Sort g, 10, 3 in descending order.\nAnswer: 10, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1887626546 a multiple of 12540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -805 - -808. Let v(c) = c**2 - c - 2. Let m be v(3). Suppose -q*a + m*a = 100. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28510 divided by 28510.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b - 11. Let c be z(0). Let r(h) = h**3 + 11*h**2 - 2*h + 1. What is the units digit of r(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/14*((-43134)\/(-12))\/79.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*u + 48 = 3*l, -l - 3*u - 2 = -4*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 + 5*k**2 + 11*k - 24. Let i be h(6). Suppose 5*w - 4*d - 577 = 0, -5*w + 5*d - i*d = -587. What is the remainder when w is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1650 and 1650 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -2*v - 2. Let b be q(-2). Let d(z) = 2*z**3 - 2*z**2 + 2*z + 5. Let k be d(-3). Let p = k - -73. Sort p, b, -1 in increasing order.\nAnswer: -1, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r + 4. Let f be h(-3). Is 26 a factor of (-101)\/(-1) + (-1)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f + 4. Let h be b(0). Let t = -4 + h. Suppose t = -7*l + 2*l + 20. Solve l*g + 4 = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 36*w + 32.\nAnswer: 4*(w + 1)*(w + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16668 and 983412.\nAnswer: 983412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-266)\/(-19) - 12 - -30939?\nAnswer: 30941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59433?\nAnswer: 3, 11, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/12*(-4)\/(52\/(-27)). Let i = 79\/39 + q. What is the closest to -0.1 in 0.5, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqxx when four letters picked without replacement from xjoqojxxxjjojxno.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*i = 112*i - 19*i + 558 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.7  (b) 5  (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) + sqrt(12) + 3 + sqrt(3) + (sqrt(108) - sqrt(27)) + sqrt(3).\nAnswer: 3 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 4173, 80 in descending order.\nAnswer: 4173, 80, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3*c + 10 = k, 0 = 5*c. Let q = 4 + 1. Suppose 3*m = 2*y - 17, -m + 6*m - 5 = -q*y. Sort y, k, -1 in ascending order.\nAnswer: k, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28861?\nAnswer: 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 6*y - 5*k = -3348, -3*y + 2508 = 3*k. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, v: 4, b: 7}. Give prob of picking 2 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -182\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 197 = 4*f + 188, 2*s + 6 = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m + 6. Let u(q) = -11 - 5*q + 2*q + 3. Let t(n) = 4*s(n) + 3*u(n). Let a(v) = -37*v. Give t(a(y)).\nAnswer: 37*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -73708 + 117358. What is u rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5*s = -10 - 0, -13 = -b - 2*s. Solve 2*p + q - 5 = 0, -5*q - b = -3*p - p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 31?  (a) 0.2  (b) -0.3  (c) 4  (d) -4  (e) -0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2561823646 to the power of 1\/4, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66790?\nAnswer: 2, 5, 6679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -9*h**2 + 35*h - 31. Let p(t) = -56*t**2 + 220*t - 188. Let y(v) = 25*d(v) - 4*p(v). Give y(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (200\/15 + -14)\/(92\/8533*21\/18)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of -q**6\/18 - 8*q**5\/15 - 3*q**4\/2 - 16*q**3\/9 - 5*q**2\/6 + 287. Suppose s(p) = 0. What is p?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7799819 + -1?\nAnswer: -7799820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + 7. What is the least common multiple of 4 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 0.14  (c) 6  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*z - 54*z + 213*z - 54*z - 48*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65308\/7965 + -1\/1593. What is the common denominator of o and -39\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 AM and 7:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 54203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*h + 4*h - 235134 = 0. Let p = 30792 + h. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10153308*k**5 + 5151470*k wrt k?\nAnswer: 203066160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -74*c - 1471. Determine h(-22).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 20 - 13. Suppose 0 = 2*d - j - 14, 4*j + z = -9. Suppose 3*u = -d*i + 140, -2*u - i = 3*i - 94. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -52593325.\nAnswer: -1\/10518665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6080 divided by -3040\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 99079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 76 = -5*s + 3*s, -5*s - 5*q = 185. Let b(y) = 2*y**2 + 2*y + 2. Let i be b(6). Let w = i + s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1199\/40 + 148\/5. Let v = -2.8 + 3.8. What is the closest to v in z, 0, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of 5*l**3\/3 - 3*l**2\/2 + 6040. Let s(q) be the third derivative of q**5\/60 + 2*q**2. Determine s(t(b)).\nAnswer: 25*b**4 - 30*b**3 + 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1052*s + 3*s**2 + 1052*s - 2*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*l + 4 = 59*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06691285 + -148.\nAnswer: -147.93308715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1803096972 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**3 + 2*p**3 - 2*p**3)*(-2*p + 2*p - 3*p)*(7 - 2 - 1).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -3.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 131992*l**2 + 132092*l**2 - 395977*l**2 + 132005*l**2.\nAnswer: 112*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**3 - 6*w**2 - w + 2. Let p be y(7). Let q be (-22)\/p - (-22)\/4. Let u(o) = -o + 18. Let r be u(11). Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + w - 17, -5*w + 3 = -6*w. Suppose 9*m - p*m = 0. Let q be -2 - -3 - (m - 0). Put 4, q, 2 in decreasing order.\nAnswer: 4, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 348 equal to 350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bwv when three letters picked without replacement from jimvviwibjjmwvv?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1*2)\/(-1) + -9. Let y = d + -59. Find the common denominator of 29\/6 and 3\/(-7)*y\/(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6 + -8)\/(1\/(-2)). Solve -4*b = -s*d - 24, 4*b - d - 14 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -14*m - 38. List the prime factors of o(-11).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + n = -2*n + 1, -3*h = -2*n. What is the tens digit of -2 + (10\/6 - h)*-129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -52, -150, -312, -538, -828, -1182?\n\"Answer: -32*z**2 - 2*z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -48\/11, -1, 3, 0, -1\/835, 30 in ascending order.\nAnswer: -48\/11, -1, -1\/835, 0, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a factor of 5001?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.0647, -12\/25, 3\/4 in descending order.\nAnswer: 3\/4, 0.1, -0.0647, -12\/25","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Is 11984 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 - 2. Which is bigger: x or 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**3 + 4*y**2 - 6*y - 2. Let f be w(-5). Suppose -3 = -3*d + f. What is the remainder when 6 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 4:40 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -1267.4 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/(-45) + (-86)\/(-18). Let s(m) = m**3 - 4*m**2 - 2*m - 7. What is s(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**3 - 120*j**2 + 123*j - 291. Calculate d(59).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:14 PM and 10:14 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**5*u*u*u)\/(u*u**(4\/7)*u)*u**(-5)*u*u*u\/(u*u*u**(11\/2)) assuming u is positive.\nAnswer: u**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 327f (base 16) in base 14?\nAnswer: 49d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 45\/2 of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 14*b**2 + 54*b + 4. What is the remainder when w(-5) is divided by 77?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (2 - 1) - -26. Let g = h + -19. Let t be (-2)\/(((-30)\/9)\/g). Solve -r - t*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(sqrt(16)\/sqrt(8)) + (sqrt(156)\/sqrt(12)*6)**2.\nAnswer: sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-26)\/(-65)*(1 - (-84)\/(-69)). Let b = 4 - -3. What is the fourth smallest value in b, -0.1, d, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1383 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8078*f = -8072*f - 50 - 70 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 5*i - x, -x = -2*i - 0*x + 10. Suppose 14 + 7 = i*n. Let y = n - -17. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 - 2522307298\nAnswer: -2522307297.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + n + 0*n)*(3*n**2 - 3*n**2 - 2*n**2) + 1142*n**3 + 836*n**3 - 602*n**3 + 203*n**3 + 806*n**3.\nAnswer: 2389*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/5 - 21\/(-35). Suppose h = -8*x + 2*x + 150. What is the remainder when 99 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -755*p**5 + 3120*p**4 + 106055*p**3 - 750980*p**2 + 725760*p - 83200 = 0. What is p?\nAnswer: -13, 20\/151, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 19*a**2 + 33*a + 14. Let c be (-2)\/10 - 86\/(-5). Let f be u(c). Sort f, 8, 5.\nAnswer: f, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -w - 3, 32*j = 29*j + 2*w + 2*w - 41 - 52 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -208, -538, -868, -1198, -1528, -1858?\nAnswer: -2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*l**3 - l**3 - l**3)*(0 - 2 + 1) + 43*l**2 + 56*l**3 - 43*l**2 to the form r*l**3 + k*l + d*l**2 + y and give r.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/5  (b) 1  (c) 3  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 113 and 29719?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 3*h**2 - 447*h**3 + 0*h + 445*h**3 - 7 - 2*h. What is the tens digit of i(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3435 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23533043?\nAnswer: 23533043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 8594338 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2944, 11499, 25670, 45457, 70860, 101879, 138514?\n\"Answer: 2808*i**2 + 131*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (16\/(-4) - 18) + 5. Let n = 46 + i. Suppose 5*c - 36 - 19 = 0. What is the remainder when n is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 1224406 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 193 - 128. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from deaweavaledadww. Give prob of picking 1 d and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2182 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9?  (a) 2\/21  (b) 0.1  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5914274l in millilitres?\nAnswer: 591.4274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -7. Suppose -c*w = 4*f - 38, -5*f - 37 = 3*w - 99. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.02 and -3555.42.\nAnswer: -3555.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**4 - u - 1. Let n be (-1 - 1)*(-6)\/(-4). Let b(o) = 4*o**4 - 6*o - 5. Let x(z) = n*b(z) + 15*y(z). Find the second derivative of x(v) wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -766, -972, -1178, -1384, -1590?\nAnswer: -1796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5 = -4*t - 0*t, 3*g + 16 = 5*t. Which is the nearest to 0.1?  (a) t  (b) -0.4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -141630, -141627, -141624?\nAnswer: -141621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -97 - -178. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4920*s + 3796*s - 34844 = 0 for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 plus 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3991?\nAnswer: 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14440 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {r: 6, x: 8, c: 2, o: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v + 501132. Let a(u) = 2*u**2. Determine w(a(q)).\nAnswer: 2*q**2 + 501132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -95 - -90. Find the common denominator of k\/(-30)*-7 + -6 and -151\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7142.71 + -6416.6. Let y = -723 + r. Round y to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16454*p**2 + 11992 wrt p?\nAnswer: 32908*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11046479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 518278200, 518278201, 518278202, 518278203?\n\"Answer: p + 518278199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -14327 + 14327.40156. Round v to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 86293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1799 + -c8e3?\nAnswer: -e07c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00447 to four dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 21 + 27. Let j = w + 17. Calculate the remainder when 4*j + 0\/8 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1583 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 110244 (base 5) to base 14.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19018 is divided by 9318?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 602779.9nm in meters?\nAnswer: 0.0006027799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3356 and 148949348?\nAnswer: 3356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2883*l + 520.\nAnswer: -2883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 139268 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1102 (base 5) in base 3?\nAnswer: -12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-108)\/30*(-5)\/3 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g + 40*g = 15*g - 328 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6260.093ng to tonnes.\nAnswer: 0.000000000006260093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/sqrt(3)*-2 + sqrt(11) + -2 + (-1 + sqrt(11))*6*-2)**2*-6.\nAnswer: -11754 + 1560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 6.0635, 97, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1426 - 1423. What is the third biggest value in 2\/5, f, 45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2118689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -271832 divided by 2.\nAnswer: -135916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99789 and 32967.\nAnswer: 29637333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1492 + -206. Calculate the lowest common multiple of l and 10.\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.01, -510, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) 4  (b) -5  (c) -2\/3  (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13, 42, 117, 262, 501, 858?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/(-6)*(-41 + 3). What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 31\/5 of a millennium?\nAnswer: 74400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 175\/(-125) - 33\/(-20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cruegrcrrrejj. Give prob of picking 1 c, 2 r, and 1 e.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 15*b**2 + 48*b + 41. Let m be r(-11). Let y = -69.5 + 69. What is the nearest to m in y, 0.1, -20?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0 - (-8)\/(-24))\/((-2)\/618). Let o = g - 89. What is the highest common divisor of o and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 7*s**2 + 6*s + 5. Let u be f(6). Suppose u*g - 3*o - 197 = -0*g, 5*g + 2*o - 177 = 0. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, t: 2}. What is prob of sequence kktk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1518 - 3115. Is (3 + y)\/(-2)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of 0 - 4*c + 0*c**2 - 4\/3*c**3. Let r(x) = -2*x**2. What is r(q(j))?\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and 183596.\nAnswer: 183594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11)\/(330\/36)*(-150)\/20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2743*1 - (-176)\/(-176)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of p**4\/132 + 701*p**3\/33 + 491401*p**2\/22 + 803*p. Find h, given that b(h) = 0.\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -277 divided by 1?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4 + 0 = 0. Suppose -2*p = -x*s + 54, -86 = -2*s - 2*p - 32. Suppose 4*t = 3*j + s, -4*j = 2*t + 15 - 1. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -74*f + 9 = 25*f - 90. Solve -o = -i + f, -12*i + 9*i = 4*o - 31 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = b**3 + 8*b**2 + 8*b + 8. List the prime factors of i(-5).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*d**4 + 3*d - 634*d**2 + 1265*d**2 + 2*d**4 - 625*d**2 - 1 in the form t*d**3 + s + w*d**2 + p*d**4 + v*d and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2081 divided by 3\nAnswer: -2081\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/2 of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gec when three letters picked without replacement from gceedgcggggccggg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 8*x**4 - 7*x**3 - 3*x**2 + 7*x. Let s(b) = -8*b**4 + 6*b**3 + 3*b**2 - 6*b. Let r(v) = 6*q(v) + 7*s(v). Find the third derivative of r(k) wrt k.\nAnswer: -192*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -71.029 + 71.4. Let j = 1.098 - m. Let q = 0.027 - j. Round q to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w + 101. What is j(-26)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16 and 38453322.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2 - 27)*(-6 + 5). Calculate the greatest common factor of k and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3789147560 - 3789147560 + 7*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7302214 and 289.\nAnswer: 124137638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 595804 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 5590 - 14226. Let y be (3 + -2)*(0\/3 + 12). Is y\/(-20) - q\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-2))\/((-1)\/2). Let m(f) = -2*f**2 + 9*f**r - 1 - 5*f**2 + 3*f. Give m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s + 13. Let d be 0\/(-5) - (1 + -29). Suppose -8*c + 4*c = -d. Give p(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1081, -2162, -3243, -4324, -5405?\n\"Answer: -1081*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 + 25?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 3:35 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -64 by 15457.\nAnswer: -64\/15457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -6 + 25 + -18 + 0 + -2 + 5601.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11092 - 10752. Calculate the remainder when p is divided by 87.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r + 3 - 3)*(-3 + 3*r + 3)*(-4 + 2 + 4)*(-335 + 1388 + 1916) in the form g*r + f + d*r**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1515796?\nAnswer: 2, 378949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34152\/5 + 6831. Suppose -24\/5*m**2 + 39\/5*m - 18\/5 + h*m**3 = 0. Calculate m.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 839 = 4*u + 3*l - 1871, 3*u - 2047 = 5*l. Which is greater: 678 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14343 rounded to the nearest 100?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25766690627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 11. Suppose -5*v = -l - 8. Let o be 186 - ((v - 2) + 1). Round o to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 61613 - -9b8?\nAnswer: 622cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -265933 divided by 250\nAnswer: -265933\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14.5 + -10.5. Let w = 4.031 - -0.939. Let y = -0.03 - w. What is the nearest to 2 in -0.4, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -2*h - 10, -11 = 4*r + h - 51. Suppose -2*q = -r*q + 161. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-2)\/(-9))\/(-1) - 4540\/(-180). Suppose 37*a - 42*a = -j. Solve a*h + 10 = -0, -5*f = 5*h + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of 0*w**5 - 1\/56*w**4 + 6 + 0*w**2 - 7\/3*w**3 + 1\/840*w**6 + 0*w. Let m(f) be the third derivative of y(f). Factor m(l).\nAnswer: 3*(l - 1)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*31\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2539784799?\nAnswer: 3, 10429, 27059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (93005\/(-855) - -108)*39\/14.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 39038 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 - (18 + -19 + (0 - -4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -5260 and -30.6?\nAnswer: 5229.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04188 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 296 + -295. Suppose f - x = w, 8*w - 12*w - 3*f = -17. Solve 2*l = 2*h - 10, w*h - 1 = -l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 292442879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-17))**37 assuming q is positive.\nAnswer: q**(-629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 1.18  (b) 4  (c) 50  (d) -0.3  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/24 of a millennium in months?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:49 PM and 11:53 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wdvvvwdhvvbbgdvgvb. Give prob of picking 1 b, 1 h, and 1 v.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of x**3\/6 + 4*x**2 - 2*x. Suppose -2*d + d + 4 = 0. Let m(r) = r + 9. Let b(y) = d*m(y) - 3*l(y). What is b(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37468 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3636037674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 7:58 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14347, 57534, 129521, 230314, 359919, 518342?\nAnswer: 705589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39 + 291. Suppose -s = -26*p + 23*p. Is 96698\/p - 1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p. Let r(a) = -a**2 + 1. Suppose 2*u + 2*x - 12 = 7*x, -3*u + 5*x = -13. Let c(b) = -b**2 + 6. Let k(q) = u*c(q) - 6*r(q). Give l(k(d)).\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes after 2:55 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-33))\/((-19)\/342)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(75) + 1)**2*-3.\nAnswer: 90*sqrt(3) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -403*r*w**4 + 2*r*w**2 + 56053*r*w + r + 47*w**2 wrt w?\nAnswer: -4836*r*w**2 + 4*r + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2*h**3)*(-3*h - h + 0*h)*((-1 - 2 + 1)*(-2490 + 2490 - 37*h) + 0 + 2*h + 0) + (-3*h + h + 0*h)*(0*h**4 + 4*h**4 - 5*h**4).\nAnswer: -606*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1560279\/32 at most -48758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**8\/1848 - 16*k**7\/1155 + 3*k**6\/110 + 8*k**5\/165 - 17*k**4\/132 + 10*k**2 + 31. Let u(r) = 0. Calculate r.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9940?\nAnswer: 2, 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oni when three letters picked without replacement from vpviipvvoppvqnp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 722866933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7, 8, 21, 52, 107?\n\"Answer: p**3 - 6*p + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 3) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 968d14 - -5?\nAnswer: 968d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**3 + 12*h**2 + 3. Suppose -2*a - c = -2*c + 29, 3*a - 4*c = -56. What are the prime factors of v(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 19 = -22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2253 + -2252.9. Does 5803 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 + 4. Let o(g) = -g**2 + 3*g - 3. Let b(z) be the first derivative of -2*z**3\/3 + 2*z**2 - 4*z - 47005. Give w*o(l) + 2*b(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 + 40*q**3 - 66 - 43*q**3 - 54.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in 17, 3\/4, 11, -1, -2\/155, 20?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -5570*0.13\nAnswer: -724.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11945.9999983014 - -11946. What is z rounded to 7 dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 9*o**2 - 12*o + 5. Determine v(-10).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/6, -0.11, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -18586932.7 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 462*g + 476 + 1164 = -1132 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4306.793 decades in centuries?\nAnswer: 430.6793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 56305952 or 225223813\/4?\nAnswer: 56305952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -8615911.\nAnswer: -4307955.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -961081\/48 - -20024. Let l = -2\/6441 - -6497\/180348. What is the common denominator of l and z?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 7*z**3 - 53*z**2 - 410*z + 24. Calculate p(12).\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((256\/12)\/(-8))\/(4\/(-138)). Let x = 263 - f. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -32020333 - 1110?\nAnswer: -32022103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-15)\/6*32\/(-240). Factor k**2 - o*k + 0.\nAnswer: k*(3*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 58899*j**3 - 2*j**2 - 960?\nAnswer: 353394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*b + 209*b = 90*b + 1495. What is the remainder when 102 is divided by b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/((-100)\/25))\/(1\/(-6)). Which is the nearest to 1\/2?  (a) 2  (b) l  (c) 0.3  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.3 - 1.3. Let f = -3 + 5.05. Let i = q + f. What is i rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11814348 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: Put -4, -141, -5, 0, -3, -7 in decreasing order.\nAnswer: 0, -3, -4, -5, -7, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4691*b = 4545*b + 1168. Suppose 5*c - 2*f - 3 = 2, 0 = -5*f + 25. Factor -1\/2*r**4 + b - 14*r + 1\/2*r**c + 6*r**2.\nAnswer: -(r - 2)**2*(r - 1)*(r + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4374051026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of t**4\/4 - 7*t**3\/6 + 6*t**2 - 86*t. Is w(7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -21391 - -21394. Let r(h) = 3*h - 10. Let b(q) = -q**2 + 8*q - 29. Give n*b(o) - 8*r(o).\nAnswer: -3*o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -2\/9, -0.3, 0.4 in decreasing order.\nAnswer: 0.4, -2\/9, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95 + 11 + 7 - 6*t - 56.\nAnswer: -6*t - 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9487687*k**3 + 5516*k**2 + 2*k + 53 wrt k?\nAnswer: 56926122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119887?\nAnswer: 101, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 91062697?\nAnswer: 11, 29, 285463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(-9)*3 - (-50)\/45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -2*n**2 - n - 4. Let b be (0 - 60)*33\/44. Let y = b - -44. Let s(c) = c + 1. What is y*i(j) - s(j)?\nAnswer: 2*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-3 - -4) - (-13)\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 6*o**2 - o - 1. Let h be l(-6). Suppose -h*u + 131 = -4*s, 4*s = u - 5*u + 76. Suppose -94 = -p + u. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**2 - 10*t - 18. Let f be w(-4). Let x(u) be the first derivative of -4 - 24\/5*u**5 + 24*u**2 - 32*u**3 + 18*u**4 + 1\/2*u**f + 0*u. Factor x(k).\nAnswer: 3*k*(k - 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 50 and 95?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3389 - 2323. Determine n so that b*n**2 - 1280 - 160*n - 539*n**2 - 532*n**2 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1165*r + 1169*r = -5*m - 15, 3*r + 18 = 3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1, -24, -87, -206, -399, -684, -1079, -1602?\n\"Answer: -3*w**3 - w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of d**8\/588 + 2*d**7\/245 - 4*d**5\/105 - 15*d**2. Find c such that p(c) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 7:56 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iudodzuzruzr. What is prob of picking 1 o and 2 r?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 451197 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a factor of 23514282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -526?  (a) -5\/4  (b) -1\/45  (c) -2  (d) -1  (e) -3\/7  (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = -3*h - 169, -h + u + 122 = -3*h. Let j = -49 - h. Let x(y) = -y + 16. Let a be x(j). What is the greatest common factor of 24 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9383508 and 153828.\nAnswer: 9383508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 AM and 2:46 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 746*g + 1573. Is 14 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45 a factor of 1450845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10445137, -20890277, -31335417?\nAnswer: -41780557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 452*z - 1047*z - 171*z = 766*z - 26044 for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 g when four letters picked without replacement from {b: 6, g: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 25 + -21. Solve -k*j = 1 + 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 8*m**2 - 6*m. Let d(q) = 65*q**2 - 50*q. Suppose -36*n = -8*n + 700. Let x(v) = n*b(v) + 3*d(v). Let c(o) = 22*o. Give c(x(s)).\nAnswer: -110*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x - 3*x + 7*x + 13*x - 2*x.\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 195*w**2 - 14*w + 1. Let t(b) = 12*b. Give t(x(j)).\nAnswer: 2340*j**2 - 168*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4276869*y**4 + 2107233*y**2 wrt y.\nAnswer: 102644856*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18 times -571?\nAnswer: -102.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 4*x + 2*s, -4*s = x - s + 18. Let j(o) = -2*o - 4. Let v be j(x). Let c = -0.36 - -0.86. Put 1\/9, v, c in decreasing order.\nAnswer: v, c, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 231 not equal to 242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 102623683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21514234, 43028466, 64542698, 86056930?\nAnswer: 107571162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((z\/(z**36\/z))\/(z\/z**(-26)*z))**(-5\/13))**(-8))**(-6\/31) assuming z is positive.\nAnswer: z**(480\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 472139.\nAnswer: 472139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 21. Let s be f(-8). Suppose 16*l - s*l - 21 = 0. Let q = 3 + l. Calculate the lowest common multiple of q and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*z**4 + 96*z**2 + 23*z - z**4 - 7*z**4 - 14*z + 9*z as q*z**4 + m*z**3 + j*z + t*z**2 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -69\/61 + 3191\/610. Let p be 12\/9*152\/(-10). Let n = p - -88\/5. What is the common denominator of n and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*y + 468 = 18*y. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r**5 + 6*r**4 - 11*r**3 + 333*r + 3 wrt r.\nAnswer: 60*r**3 + 72*r**2 - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.4  (c) -4  (d) 9.29  (e) 1\/8  (f) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*w - 2*w**2 + 0*w**2 - 2*w + (2*w + 8*w - 5*w)*(6*w - 4*w + 0*w) to i*w**2 + t*w + s and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -4029, -4023, -4003, -3963, -3897?\n\"Answer: g**3 + g**2 - 4*g - 4027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = q + 38. Suppose 5*y + 3*l + 475 = 0, y + l = 5*l - 72. Let w = 60 - y. What is the greatest common factor of q and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 2*u**2 + 2*u - 2. Let j = -19 + 33. Let m = j + 2. What is the smallest common multiple of o(-3) and m?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4918.\nAnswer: 2, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 426 and 395754.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2536 is divided by 47?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s + 16 - 1, 4*x - 30 = 2*s. What is the lowest common multiple of 14 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -m**2 + 2*m**4 - 8*m**4 + m - m wrt m?\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 300280 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*k**3 + k**3 - 8*k**3 + 3*k**3 + k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14 - -16. Suppose 90 = -3*i - k - 117, -4*i = -4*k + 292. Let o be ((-74)\/i + -1)\/((-3)\/(-15)). Which is the nearest to -2?  (a) -1\/12  (b) f  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.229671+-35629\nAnswer: -35625.770329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 97 and -1.3662?\nAnswer: -132.5214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 6*i + 2. Let r be s(5). Let w be -735 + 721 + 16*1. Sort -51, w, r.\nAnswer: -51, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 2*x + 5. Let d be z(-3). Let q(h) = 9*h**d + 27 - 21*h**2 + 8*h - h**3 + 2*h**3. What is the units digit of q(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 6 - 8 - p)*(25 + 50 - 20).\nAnswer: -165*p - 110","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.05 + 0.09. Let a = 0.36 + g. Let t = 0.6 + a. Which is greater: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29, -2, 7, 1, 47, 10, -4 in decreasing order.\nAnswer: 47, 10, 7, 1, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 2\/17  (b) -377  (c) -60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 11*v**2 - 9*v + 19. What is the remainder when 24 is divided by u(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 9*t**2 + 5*t - 10. Let n(g) = 4*g**2 + 3*g - 5. Let m(b) = 5*n(b) - 2*s(b). List the prime factors of m(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -236*q + 234*q - 34*q**2 + 33*q**2 + 1 + (2*q - 2*q + 7*q)*(-q - 1 + 1) to d + f*q + t*q**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -2048*v - 1227*v + 1318*v as f*v + o and give f.\nAnswer: -1957","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l + 2. Let b be w(1). Suppose -m - 145 = -b*x, -3*x - 4*m = -2*x - 49. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2541 and 16803402?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/7 + (-52)\/(-14). Let m(w) = -5*w - w**3 - 2*w**3 + 4*w**3 - 2*w**2. Determine m(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(17) + sqrt(68)*-2 + sqrt(17) - (sqrt(17) + sqrt(85)\/(sqrt(5) + sqrt(25)\/sqrt(5) + sqrt(5)))))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**3 + 2*c**2 + c - 1. Let k(w) = 9*w**3 + 7*w**2 + 11*w - 8. Determine 4*d(s) - k(s).\nAnswer: -5*s**3 + s**2 - 7*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 v, and 1 s when four letters picked without replacement from vvvmvvsvmvvvvtvtmtvv.\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.4 + 4.4. Let n = d - 1. Put 1, n, -2 in decreasing order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -116 - -116. Solve -2*q - 2 = -6, f = -v + 5*q - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 14*j**3 + j**2 + j - 1. Let o be b(1). Let f = o + -9. Suppose 11*x = 13*x - 8. Calculate the greatest common divisor of f and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-w**2 + 0*w**2 - 3*w**2)*(-3*w + 6*w - 2*w) to i*w**2 + v + h*w**3 + c*w and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 280*k - 300*k - 1761600000 = 0. Round k to the nearest 1000000.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -6*a - 7*a. Let g be (-1)\/(-2)*0\/2. Suppose a = 3*i + 5*o - 478, g = -o + 7 - 2. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h + 14. Determine l(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -n**9\/252 + 157*n**7\/210 - 589*n**5\/6 - 10*n**2 + 173*n. What is the third derivative of f(k) wrt k?\nAnswer: -240*k**3 + 3768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 37*r - 38*r + 24. Suppose -16*a = -12*a - r. Let o be (a\/(-26))\/(-3)*2. Do o and 0.06 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (140\/16)\/((-3)\/(-300))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 32 - 16. Suppose 7*n - 2*n - 110 = 0. Calculate the lowest common multiple of m and n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dlhlhldhlllhl. What is prob of sequence dlh?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3\/7 + 634948*n**2\/7 - 634947*n\/7.\nAnswer: -n*(n - 634947)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4169\/22 + 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5910)\/(-310) - 12\/186. Solve -4*a - 10 = -6*a + 4*b, -5*b - g = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 2*g + 8. Calculate the remainder when q(7) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-5*(1 + sqrt(704) - sqrt(704)) - sqrt(704)))**2.\nAnswer: 64*sqrt(11) + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*v - 11*v + 1 + 49*v**2 - 7*v as k*v**2 + z*v + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 601228937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 8457 plus 32?\nAnswer: 8489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 551775 divided by 7?\nAnswer: 78825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 5*h**2. Let q(w) = -199*w**2 - 6*w - 6. Let a(y) = -2*y - 2. Let d(m) = -3*a(m) + q(m). Calculate b(d(k)).\nAnswer: 198005*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18382 - 18379. Sort c, -88, 9 in decreasing order.\nAnswer: 9, c, -88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 175 + 5. Let l(p) = -2*p + 17. Let i be l(9). Calculate the common denominator of ((-14)\/(-4) - i)\/(b\/(-75)) and 58\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 2 + 3 - 2 + 6*v - 1. Let c be n(-3). Suppose x = -15 + 12. Put 4, x, c in ascending order.\nAnswer: c, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (32*b + 31*b + b)*(-93*b + 126*b - 114*b).\nAnswer: -5184*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -4*x - 3 + 2*x + 3*x**2 + 0*x. Let q = -16050 + 16047. Let v(a) = 1. Determine q*v(z) - f(z).\nAnswer: -3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1783236 * -0.126\nAnswer: -224687.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 890557.7 millennia to centuries.\nAnswer: 8905577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34088396, 68176813, 102265230?\nAnswer: 136353647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 94 = -6. Let u be (-12)\/h*(-3067)\/(-3). Let d = 18797\/30 + u. What is the common denominator of d and 28\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.241 take away 336.4417?\nAnswer: -336.6827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 86 - 77. Suppose -6*r = 3*r + t. Sort -9, 5, r in decreasing order.\nAnswer: 5, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of 2*s**5\/45 - 2*s**4\/9 + 4*s**3\/27 + 4*s**2\/9 - 2*s\/3 - 19. Find z such that o(z) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 548710 and 548738 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 37972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -26*t - 5. Let g(x) = -651*x - 126. Let u(c) = 5*g(c) - 126*v(c). Suppose 2 = 4*y - 6. Let f(b) = 5*b. Determine y*u(h) - 9*f(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*h**3 - 4*h**3 + 2 - 7*h + 6*h - 2*h**4 as y*h**3 + n*h + x + p*h**2 + j*h**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -645*t**2 - 666*t - 21.\nAnswer: -3*(t + 1)*(215*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1698753 times -0.2?\nAnswer: 0.03397506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of k**6\/75 + 2*k**5\/25 + k**4\/10 + 6*k + 1. Determine t, given that p(t) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 17\/7)\/((-172)\/602)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*p + 15, -5*y + 48 = 5*p - 7. Suppose -5*n + 0*n - 82 = 4*m, 0 = -n - 4*m - 26. Let g be (n\/6 - -3)*3. Solve -f + p = g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6072, 6671, 7270?\nAnswer: 7869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-1\/2)\/w*w\/w**(-4)*w*w**(-4\/7)*w*w**(-1) assuming w is positive.\nAnswer: w**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 5 - 30. Is l not equal to 20\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 - (21 + (27 - -17))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 738 + -398. Let n = f - -31. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 501 divide 5616210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.13 - 0.97. Let r = z + 1.8. Let t = -0.9 + r. Which is the nearest to t?  (a) 3  (b) -0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1233 = -3*u - 399. Let w = u - 274. Let m(t) = 2*t**2 + 10*t + 7. What is the remainder when m(-6) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = s + 12. Suppose -s*t = -q + 369, -4*q = -t - 1651 + 190. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (-15 + 6) - 8 - 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -59, -80, -111, -152?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-460985)\/(-105) - (-8)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1086413930 divided by 660434\nAnswer: -1645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 45446\/(-16) - 14\/84. Let a be (348\/8)\/((-3)\/(-196)). Let p = f + a. Find the common denominator of p and 56\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 310420354.\nAnswer: 2, 43, 137, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39\/15 + -3)*-5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -8355181\/10544 - 35\/1318. Let z(w) = -72*w - 360. Let i be z(6). Let y = i - b. What is the common denominator of y and 89\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes after 2:18 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 42189\/294*4\/14?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -147.02 and -0.02?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -102*n + 0*n**2 + 101*n + 1 + n**2. Let z(p) = p**2 - 8*p + 9. Let r(w) = w**2 - 7*w + 8. Let x(l) = -7*r(l) + 6*z(l). Determine 6*s(m) + 3*x(m).\nAnswer: 3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48*r + 38*r + 14*r - 109 to n + z*r and give n.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*y + 40 = 1483. What is the remainder when 243 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9399 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 24 = 6. Suppose -i - 4 = 0, -j*t + 4 = -t + 4*i. Sort -5, t, -4 in descending order.\nAnswer: t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.8 - -18101.\nAnswer: 18102.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -58*r**3 + 103*r**3 - 32*r**3 + 36*r - 36*r.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -4*w**2. Let p(m) = m - 2. Let q be p(4). Let r(s) = -2*s**q + s + 3*s - 4*s. What is l(r(k))?\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -543 + 513245?\nAnswer: 512402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 13 in 0.083, -1, -12, -0.3, -14.3?\nAnswer: 0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - -631466?\nAnswer: 631463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -10653*7341\nAnswer: -78203673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (45 + -46)*2\/(1564\/(-57) + (-58)\/(-551))?\nAnswer: 3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1546831518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13.8 + -14. Let o be (-5*2*-1)\/1. Let n be ((-2)\/(-10))\/((-8)\/o). What is the second biggest value in n, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -150*i + 253*i - 6 - 13 + 3 - 104*i. Determine g(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2739, 3034, 3329, 3624?\n\"Answer: 295*w + 2444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -311922, -1249235, -2811422, -4998483, -7810418, -11247227, -15308910?\n\"Answer: -312437*l**2 - 2*l + 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 25*m**2 - 2*m + 91. What is the hundreds digit of j(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 5*x - 36, -u + 5*x - 32 = 2*u. Let c = u + 9. Find the second derivative of -c*n**3 - 7*n - 11*n**3 + 25*n**3 wrt n.\nAnswer: 54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -284\/3*w**3 + 0*w + 0 + 2\/9*w**5 - 422\/9*w**4 + 0*w**2 = 0.\nAnswer: -2, 0, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20560 (base 8) to base 3.\nAnswer: 102202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, -44, -160, -386, -758, -1312, -2084?\nAnswer: -3110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve f - 4*i = 39, -3038*i + 3035*i - 108 = -3*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 23563 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-3)\/q*q**(-1)*(q\/(q\/((q**(-10)\/q)\/q*q)))\/q**(-6\/7) assuming q is positive.\nAnswer: q**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1 + (((-1 + sqrt(304))*-1 - (sqrt(304) + 0)*-1) + -3)**2 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 4 - 5)*(2*w - 1 + 1) - 27 - 5373*w + 7 - 5380*w + 10758*w in the form h*w + d and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -2*h**3 + 19*h**2 - 16*h + 15. Let a(x) = x**3 - 9*x**2 + 8*x - 7. Let r(n) = 5*a(n) + 2*l(n). Suppose 5*f - 10*f = -30. What is r(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17139015 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1932.9 times -2?\nAnswer: -3865.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-111)\/(-74))\/(1\/206). Let j = x - 301. Suppose -s + 56 = 3*o, 335 = 5*s - 3*o + 7*o. What is the remainder when s is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 2*i + 66711 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - (19 - (-417)\/(-36)))\/((-20)\/324).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/1)\/((-22)\/(-4752))*(42\/(-9))\/(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1036*c**2 + 1033*c**2 + 1032*c**2 + 928*c**2 - 4042*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.0129626 * 20.\nAnswer: 20.259252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 26\/4 - 151380\/3480\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 6576357 by -271.\nAnswer: -24267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 2*y + 28, 5*y - 4*c - 13 = 15. Let t(s) be the second derivative of -1\/6*s**3 + y - 13*s - 2*s**2. Determine t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 9831, 9781, 9733, 9687?\n\"Answer: h**2 - 53*h + 9883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5457995\/3 or 1819331?\nAnswer: 1819331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*j**4 + 86 + 73 - 5 - 124*j**3 + 210*j**3 + 166*j**3 wrt j?\nAnswer: 8*j**3 + 756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -4*k + 24*a, 0 = -15165*k + 15168*k - a + 65 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1139 - 5*n - 368 - 380 - 370.\nAnswer: -5*n + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8.879 - -7.879. What is the closest to -0.2 in 22, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26 + 50. Suppose -b - b = -q. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*o - 30*o = 25*o + 100 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence heu when three letters picked without replacement from kuukhnseussshhuhhnh.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1606 + 1620. Let c be (18\/u)\/3 - (-150)\/875. Determine l so that -3\/5*l + 0 - c*l**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 3572, 3431, 3048, 2303, 1076, -753, -3304, -6697?\n\"Answer: -20*j**3 - j**2 + 2*j + 3591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 143*w - 11717 = -5838 + 27011. Calculate the remainder when w is divided by 213.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 + 7. Let m be (3\/12 - -4) + -4. Which is the closest to -2\/5?  (a) 2  (b) m  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1d96 + -24?\nAnswer: -1dba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*i*y**3 + 2*i*y**2 - 29*i*y - 2*i - 2*y**3 + 69*y**2 - 12*y - 3 wrt y.\nAnswer: -30*i*y + 4*i - 12*y + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 5*j + 3. Let g be s(-7). Let l = -8 - g. Suppose 0 = l*h + 3*b, -3 = 4*h + 2*b + 3*b. Solve -m - h = 0, 0 = -2*q - 5*m - 7 - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 3*v + 6, 4*s - 4*v - 21 = -5. Put 0, s, 4 in ascending order.\nAnswer: 0, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -0.3  (c) -4  (d) 5  (e) -147  (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -519736*u - 5717100. Calculate q(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-5 + (-33)\/(-12))*-4 + -3. What is the greatest common factor of t and 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 191850?\nAnswer: 2, 3, 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 1 + 1 - 1 + 2*c - 3*c. Suppose 0*i - 2*i + 5*j - 17 = 0, -10 = i - 4*j. Let q(w) = 6 + 0*w**2 + w**2 - 4*w - 2*w. Determine i*z(l) + q(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 3. Let w(b) = 2*b - 7. Let j be w(6). Let z be (26\/65)\/((-4)\/(-50)). Solve -s*f + 19 = p, j*f + z*p - 17 = 2*p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 11*s + 194. Let g be y(-18). Is 5 - -12*(-1822)\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 507 a factor of 70210881?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.262972 rounded to three dps?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) - (sqrt(108)*2)**2) + -3 + 3 + -4.\nAnswer: -436 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11\/13 - -343\/390. Let b(z) be the third derivative of f*z**5 + z**2 + 0 + 0*z - 1\/6*z**3 + 0*z**4. Differentiate b(j) wrt j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -7*f**2 + 772*f + 17503. Calculate m(130).\nAnswer: -437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 585121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2500225 (base 8) to base 11\nAnswer: -430127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + 7\/5)*(-5 + 11 - 5). Sort -584, -1, a in decreasing order.\nAnswer: a, -1, -584","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40321767.\nAnswer: 3, 977, 13757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 28098431 by -3761.\nAnswer: -7471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 6 - 7*w**2 + 6*w + w**3 + 0*w + 0*w**3. Suppose -16 = 4*a - 4*k, -2*a + 2*k - 10 = -k. Let r = a + 8. Calculate f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {j: 1, b: 2, a: 2, l: 4, i: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 307*w**2 + 2129*w - 2. Determine f(-7).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -83349 divided by -7\nAnswer: 11907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 + 39*s**2 + 67*s + 27. Suppose 2*o + 3*c + 59 = 0, 0 = 3*o + c - 4*c + 126. Does 22 divide n(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q + 43*q - 6954 = 0. Let l = q + 374. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -780635575\/4329 - -180327. What is the common denominator of i and -75\/4?\nAnswer: 17316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2925*d + 2917*d - 72 = 0 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18120 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 520556?\nAnswer: 2, 181, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 2289\/692?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -85*k**2 - 5*k + 4. Let u be v(-9). Let t = u - -150811\/22. Let c = t - 675\/88. Find the common denominator of -83\/6 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d - d + d)*(-2 + 0 - 1)*(-d - d + 0*d)*(d + 2 - 2).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -54*q + 15. Let j be m(-4). Suppose 79*b - j = 58*b. Solve -4*o - b = -l, 6*o = 3*o - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.4, -2\/7, -2\/11885?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 4*i - 3466 - 269, 1872 = 2*i - 4*n. Round i to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000169625 rounded to seven dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -6539\/82703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 7212 * -5327\nAnswer: -38418324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes after 9:08 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6870\/8 - (-18)\/72. Suppose -5*w - p = -t + 166, 2*w - 288 = 5*p. What are the prime factors of w?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 - 8*b**2 + 11*b + 10. Suppose -q + 18 = 3*v, -q - 2*v + 31 - 17 = 0. Determine z(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -u - 7*k + 10*k, 5*k = 3*u - 19. Let h(w) be the first derivative of -1\/14*w**4 + 16\/21*w**u + 0*w**2 - 25 + 0*w. Factor h(t).\nAnswer: -2*t**2*(t - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r**3 + 3*r**2 - r**2 + 3*r**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 413791\/3906865 + -365\/5942. Calculate the common denominator of a and -31\/30.\nAnswer: 7890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = z - 10. Calculate the greatest common divisor of 30 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121010010100201010 + 2?\nAnswer: -121010010100201001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5828043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -4*i + 27. Let r be t(7). Let x(d) = -5*d**3. Let z be x(-1). Suppose -z*o + 7 = 22. Is o greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(-1\/4))**(-13\/4)\/((n\/(n*n\/(((n*(n*n*n**(-1)*n)\/n)\/n)\/n)))\/n)**0)\/(n\/(n**6\/n)*n**(-1)*(n*n**(-6)*n)\/(n**6\/n)) assuming n is positive.\nAnswer: n**(133\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58 and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1751)\/(-5) + 60\/75. Suppose q*v = 353*v - 404. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25143457*m - 25143457*m - 3*m**2 + 112.\nAnswer: -3*m**2 + 112","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**2 - 5*x**2 + 3*x**2 + (-4 - 2*x + 4)*(-17*x - 54*x + 8*x) to the form n*x + r*x**2 + a and give r.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-122)\/(-12) - 2\/12. Suppose x + 4*x = -5. Is m <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19097053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 267 and 8007241?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2979 - -22038?\nAnswer: 25017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x = -3*x - 19. Which is smaller: -1\/156 or x?\nAnswer: -1\/156","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-3)*(-4 + (-87)\/(-24)). Which is the third biggest value?  (a) 5  (b) 2\/9  (c) n  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-6) - 1402\/(-1064). Let f = -3\/76 - w. Suppose -49*p = -43*p + 18. Which is the nearest to 2\/7?  (a) f  (b) p  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -3 - 1 + 6 + 3*y - 7 + 25 - 3. Let c = -9 + 4. Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*v - 3672 = 7*v. Let b be 16\/v*(-30)\/(-40). Does b = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*y + 75. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 2 - 2)*(0*q - q - q) - 3*q + 0*q - q + (3*q - 3*q - q)*(-2 + 1 + 0) + 157 + 3220*q - 3227*q - 381 as p*q + v and give v.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 16*q**2 + 20*q**2 - 11*q**2)*(3*q**3 - 3*q**3 - q**3) - 8*q**2 + 8*q**2 - 10*q**5 + (-3 - 2*q + 3)*(q**4 - 1 + 1).\nAnswer: -5*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(8\/(-3)*-184*(-54)\/576)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 0*m**3 - 7*m + 8*m + 1 - 2*m**3 to the form s*m**2 + g + d*m + x*m**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 5. Let s be f(4). Let x = 11 + s. Solve -x*n - 3 - 7 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*d - 26*d = 3*b - 21138, 21108 = d - 2*b. Calculate the greatest common factor of 165 and d.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = y**3 + 22*y**2 - 113*y - 202. Let r be q(-26). Calculate the greatest common factor of r and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1, -9, -31, -71, -135?\n\"Answer: -l**3 - 3*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 692 a factor of 20443897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/(sqrt(12)\/sqrt(3)))**2 - (-5*sqrt(208))**2.\nAnswer: -5187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-132)\/(-88))\/(3\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 481*i - 35 = 476*i, -4*p = -i - 63989. What are the prime factors of p?\nAnswer: 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 12 = -3*g, 10*g - 26 = 15*g - 3*l. Let r(b) = b**3 + 6*b**2 - 10*b - 16. Let t be r(g). Solve -17*x + 18*x = t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1 + 2. Suppose -37126 + 6226 = y*i. What is i rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.8 + 6.8. Which is the biggest value?  (a) -0.2  (b) 16  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -31 + 18. Suppose 3*m = -2*t + 97, -2*t + 103 = 5*m - 4. Let x = t - u. 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: Let h(z) = -11*z**2 + 1882*z - 12835. Calculate h(164).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.9 times 0.2?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3163*s**3 + 245*s**3 + 15 + 1064*s**3 - 15.\nAnswer: 4472*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 + 13*r**2 + 282*r - 878. Let a(b) = 2*b**3 + 35*b**2 + 844*b - 2635. Let n(v) = 3*a(v) - 8*w(v). What is the derivative of n(f) wrt f?\nAnswer: -6*f**2 + 2*f + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -390 times 2?\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47674 + -31586. Calculate the least common multiple of q and 8.\nAnswer: 16088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes before 10:11 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 13*t**2. Let h(v) = -203*v. Determine b(h(u)).\nAnswer: 535717*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (273\/(-182))\/((-46)\/92)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 196\/(-220)*(-258)\/36. Let v = -121\/15 + h. What is the common denominator of (-1 - 154\/20) + 3 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -919b5c (base 13) to base 15.\nAnswer: -470022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10a2 (base 12) to base 16.\nAnswer: -73a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -134 + 130 - (5 - 37).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(1 + sqrt(99)).\nAnswer: -15*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 k when four letters picked without replacement from {k: 3, d: 10, t: 2}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 49 - 13 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -32*l + 63. What is u(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3880*b + 367. What are the prime factors of j(5)?\nAnswer: 3, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (11 + (-12 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24427962.\nAnswer: 2, 3, 13, 104393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of 4*x**3\/3 - 3523. Let f(o) = 400*o. Give q(f(h)).\nAnswer: 640000*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 536714?\nAnswer: 2, 101, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 5098779*v - 35691600.\nAnswer: 3*(v - 7)*(v + 1699600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1053) + -1 + 1.\nAnswer: 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 222*o**2\/11 - 7095354*o\/11 + 383532\/11.\nAnswer: 6*(o - 31961)*(37*o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1*-35.3117\nAnswer: 35.3117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h**2 + h + 1. Suppose -7*f - 130 = -2*f. Let i = f - -25. Let a(y) = y**3 - 3. Let u(j) = i*a(j) - 6*k(j). Determine u(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**3 + 7*i**2 - 8*i + 7. Let m be r(-8). Let q(z) = -z**2 + 1 - 29*z + 12*z + m. Calculate the lowest common multiple of q(-16) and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*k**2 + 16695*k + 1426263 wrt k.\nAnswer: 22*k + 16695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + y - 1 = 0, 0 = -5*v - y - 3 + 4. Suppose v = 6*u - 609 - 15. Is 37 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/330 and 131\/440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -83*k - 94*k**3 - 110*k**2 - 2*k**5 - 35*k**4 - 3*k**5 + 18*k - 491 + 476 + 4*k**3.\nAnswer: -5*(k + 1)**4*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8490*i**4 - 9065*i**3 - 303702238*i.\nAnswer: -101880*i**2 - 54390*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -5*n. Let d(o) = 213 - 2*o - 105 - 108. What is y(d(q))?\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*i + 326 + 1598 = -564*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 448 is divided by 113.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x + 5*x - x)*(6*x**2 - x + x).\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3528*a**4*k**3 + 2*a**3*k**3 - 9*a**3 + a**2*k**3 - 1042399*a*k**3 wrt a?\nAnswer: -84672*a*k**3 + 12*k**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 5*o - k - 13 = 0, -221*o + 75*k + 741 = -218*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-16)\/12)\/(4\/326). Let z = 133 - 243. Let k = z - u. Which is the nearest to -3?  (a) 4  (b) 0.4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1650743 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 176209637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-25)\/200*16)\/(10\/15 - (-472)\/(-690)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3.4, 23, 1\/2 in decreasing order.\nAnswer: 23, 3.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27528 and 81363.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 7*s - 4*s - 10746 = 0, s = 3*u - 16130. Is 42 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -120 (base 7) in base 3?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3164 and 24822145?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-16)\/(-12))\/((-4)\/(-9)). Suppose -4*v = h*i - 15, 0*i = -4*v - 2*i + 14. Suppose 5*u - 25 = -g, -v*g + 5*g - u = 72. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 90*x + 16*x + 193*x - x**2 - 33*x - 8*x.\nAnswer: -x**2 + 258*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wmwmmwmmmwwmmmwwwmwm. What is prob of picking 2 w?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133 = -232*l + 239*l. Put -6, 1, l in ascending order.\nAnswer: -6, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 2*g + 4, -g - 14 = -2*b + 6. Let w = -4060 - -1905. Let i be 4\/16 + w\/(-20). What is the greatest common divisor of b and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b + 61. Suppose 19*y - 12*y = -70. Calculate the remainder when m(y) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.413871  (c) -274\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3\/9 - 2*b**2\/9 + 50*b\/9 - 8\/3.\nAnswer: -2*(b - 3)*(b + 4)*(2*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2 + 16. Let s be -3 - 0 - (a - 0). Solve s - 2 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(0 + 4\/(-2)). Suppose -n = -v*n - 3. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of 7*u**5\/30 - 7*u**4\/24 - 2*u**3\/3 - 7*u**2\/2 + 2. Let h(k) be the second derivative of g(k). Is h(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18720 divided by 6?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*c*d + 1159*c + 121*d**2 - 2 wrt d?\nAnswer: -2*c + 242*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1687 - -2627. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 46 + (-25 - -5)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 21 = 2*c, 28 = -3*c + 31*l - 35*l. Solve c = 266*j - 270*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - d + 21 = -j + 9, -2 = -5*d - 6*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/3  (b) -6  (c) 308\/733\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2227.668 and -17?\nAnswer: -37870.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.589056 + -7.59. What is c rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 0)*(-1 + 2 + (-99)\/77).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 204 and 8485344.\nAnswer: 144250848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -2*q. Let p(r) = 20*r - 1. Calculate -14*g(u) - 2*p(u).\nAnswer: -12*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -4780 times 248.6?\nAnswer: -1188308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, s: 4, o: 4, f: 3}. Give prob of picking 1 z, 1 f, and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the second derivative of -167*s**3\/6 - 5*s**2\/2 + s. Let x be v(5). Round x to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 453 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 7, -214, -587, -1106, -1765, -2558?\n\"Answer: o**3 - 82*o**2 + 18*o + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(3993)*-4*5)\/(sqrt(539) + sqrt(539) + (-1*sqrt(539) - sqrt(539))*-6 + 4*(-1*sqrt(539) - sqrt(539))).\nAnswer: 110*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of 0 - 7\/5*a**5 + 0*a - 1\/24*a**4 + 50*a**2 - 22\/3*a**3. Find the first derivative of d(i) wrt i.\nAnswer: -168*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7293 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -78989034*a**4 - 121715451 wrt a.\nAnswer: -315956136*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3.7 + -0.7. Sort j, -0.5, 0.05 in descending order.\nAnswer: j, 0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1771*a + 14 = -q - 3*q - 1772*a, 3*q + q - a + 10 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91458 is divided by 22765?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from tlttuld?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 47\/28 - 18325\/10892. Suppose -3*x + 11 = -2*d, -d - 9 = -6804*x + 6799*x. Are q and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {j: 1, u: 1, d: 4, z: 9}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -123.9 plus -3.9?\nAnswer: -127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -3*y**2 + 10*y - 47. Let x(m) = 8*m**2 - 30*m + 140. Let z(f) = 11*u(f) + 4*x(f). Differentiate z(c) wrt c.\nAnswer: -2*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 AM and 3:31 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1825 = -16*n + 1487. What is the highest common factor of n and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*l**3 + 3*l**3 + 2*l**3)*(0 + 6 - 4) + 46*l - 46*l - 20*l**3)*(-4*l + 3*l + 0*l + (4 - 2 - 4)*(8*l + 13*l + 4*l) - 2*l + 0*l + 0*l).\nAnswer: 848*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b = -90*i + 85*i - 4, -i + 208 = 53*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -3*g**3 - 2*g**2 - g. Let b be z(-2). What is the greatest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n + 4*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 - -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 3*m + 13. Let r(l) = l**2 - 5*l + 6. Let y be r(7). Let o be m\/(-10) + (-222000008)\/y. Round o to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + -1. Suppose 0 = 2*v - j*v + 52. Let i = v - 9. Let d(h) = h + 1. Give d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000039633 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -4*q + 2*q, -3*o = -5*q - 13. Let s be (o + 1 + -2)\/(-1). Solve s = -0*h - h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 3*p**5 - 9*p**3 - 8*p**2. Let h(g) = -g**3 - g**2. Let x = 31 - 13. Let s(v) = x*h(v) - 2*b(v). What is the third derivative of s(l) wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1759 bigger than -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8 by -144246622.\nAnswer: 4\/72123311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: a1 (base 12) to base 8\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express r**2 + 5*r**4 + r**2 + 3*r + 5*r**4 - 5*r**4 in the form a*r**4 + s + w*r + j*r**2 + h*r**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -488 + 515. Sort -0.04, -1, f, -0.2.\nAnswer: -1, -0.2, -0.04, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (6*(1 + sqrt(832) + sqrt(832)) - ((sqrt(208)*1 + sqrt(208) - sqrt(208))*3 + sqrt(208))**2).\nAnswer: -3323 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 27, 38, 53, 72, 95?\n\"Answer: 2*h**2 + 5*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.48 + 0.82. Let n = s + -0.14. What is the nearest to -1 in n, 1\/3, 5\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 0.4, -0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -51792, -103586, -155380, -207174, -258968?\n\"Answer: -51794*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53, -41, -59, -137, -305, -593, -1031, -1649?\nAnswer: -2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*a + 4*a - 2*a**2)*(0*a - 5*a + 4*a) + 71546 - 10*a**3 - 71561 - 2*a**3 in the form t + r*a**3 + q*a**2 + g*a and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from awawmwmmwma?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t**3 - 4*t**3 + 3*t**3 + (-2*t - 2*t + 2*t)*(2*t**2 - 2*t**2 - t**2) + 6514*t + 1600*t**3 - 6514*t to the form a*t + z + k*t**2 + y*t**3 and give y.\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5042 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 28. Which is the nearest to 0?  (a) -41  (b) -4  (c) m  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of k**9\/3024 + k**5\/30 + k**4\/24 - 5*k**2. Let p(b) be the second derivative of i(b). Differentiate p(m) with respect to m.\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23095 less than 23089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.369718 minus -0.00718?\nAnswer: -0.362538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the first derivative of 5*u**3\/3 - 17. Let q(y) = -52*y**2. What is q(i(b))?\nAnswer: -1300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -2. Let i = 4.54 - -2.46. Is r greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from imcliecn. What is prob of picking 1 e and 2 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + 703*g + 57739. What is l(-608)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (47\/((-4465)\/342))\/(3\/(-20))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 9  (b) -10\/7  (c) 1  (d) 2\/169\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes before 5:59 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/4?  (a) 2470.38  (b) -0.6  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 2*z = z + 30, -20 = -4*z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 187 and 2089912?\nAnswer: 2089912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 12 + 11 - (-14 - (62 + -1))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -2*i - 1. What is c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5*q = 12, -2*v + 56 = v + 2*q. Let m = 17 - v. Which is the nearest to m?  (a) -3  (b) -0.5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) 453  (c) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(539)*3 + sqrt(539) + 5)**2*6*3.\nAnswer: 5040*sqrt(11) + 155686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -20, -19, -18, -17, -16?\n\"Answer: o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/8*2*(-4)\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22 - -27. Suppose -u*r = -973 - 1387. Let x = -215 + r. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -84*p**3\/13 - 1150*p**2\/13 + 1636*p\/13 - 210\/13 = 0.\nAnswer: -15, 1\/7, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a + 11 + 23. Let u be (2\/1)\/(a\/(-51)). Let t be (-3)\/18 + u\/18. Solve t*o + o - 5*m = -11, 0 = o + 5*m - 19 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -9*q - 23. What is f(7)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*v + 11*v = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/70*252\/(-48).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -w**3 + 6*w**3 - 5 + 4 - 3*w - 16*w**3 to the form k + h*w**3 + r*w**2 + u*w and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*d + 22*d + 435. What is the second biggest value in 0, 0.2, 1\/2, d?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s + y = -6, -2*s + 11917*y = 11904*y - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*f - 1)*(3 - 5 + 1 + (6 - 1 - 3)*(4 + 1 - 3))*(-3*f - 4 + 4).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1009190 and 25.\nAnswer: 5045950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiioivvivviovvi. What is prob of picking 2 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1627340782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m - 2. Let v(h) be the first derivative of h - 11. What is 3*v(s) + z(s)?\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 94*k + 25 + 22. Which is bigger: -2\/28041 or k?\nAnswer: -2\/28041","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -130927 (base 12) to base 5\nAnswer: -34443432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -5 - (1 - (-2 + 4)). Let d(f) = f**2 + 2*f - 3. Let h be d(o). Let c be 5\/h*(14 + -1). What is the highest common factor of 117 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1153 + 4231 = 8*u. Calculate the remainder when u is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.65 - -69.35. Let y = f - 59. Which is smaller: -2\/9 or y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 2*d + 2. Suppose d*l - 4 = 16. Solve 4*k = 3*b - 14 + 2, -3*k = -l*b + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 396413197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 66839383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2547226283?\nAnswer: 7, 363889469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 735853 is divided by 4088?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 11*o - 14. Let u(k) = -7*k + 9. Let w(n) = 5*m(n) + 8*u(n). Let y be w(-2). Suppose y*p + p + 10 = 3*j, -4*j = 3*p + 6. Is p <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1163940697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 9 = -5*x, 20 = 4*x - 0*b + 4*b. List the prime factors of 108 - 0\/4*1\/x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 5*r - 10, 3*r - 6 = 2*h - 5*h. Suppose 3*a + a + 8 = 0, h = 5*x + a - 28. Let v be (-15)\/(-6) + 3\/x. Solve 0*c - v*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.4, 698 in descending order.\nAnswer: 698, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6396 - 6017. What is the remainder when x is divided by 48?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -68609\/11 + 6237. Let v = -0.01 + 0.41. Let p = v - 0.5. Which is the second smallest value?  (a) -2  (b) w  (c) p  (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -30*l + 4. Let h(r) = -28*r + 3. Let o(p) = 5*f(p) - 6*h(p). Let n(d) = -d**3 - 13*d**2 - 37*d - 68. Let m be n(-10). Calculate o(m).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 65.3 and -0.2?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**2 - 9*a + 13. Let x be u(-10). Let h(t) = t**2 - 3*t + 1. What is the least common multiple of 18\/(-12)*(-1 + -1) - -3 and h(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 4:19 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2.19 or 1011168?\nAnswer: 1011168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f. Let r(l) = -4*l**2 - 30*l + 88. Let j(u) = -r(u) - 6*v(u). Factor j(a).\nAnswer: 4*(a - 2)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6125000 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11872\/7632)\/(2 - 146\/72)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 4*s - 39, 1 = 3*s - 2. Let u = o + 5. Solve 0 = x + 2*x + u for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fifteen quarters of a hour?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 - 163*s**2 + 91*s - 14840. Calculate c(163).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-12))\/(2\/9). Let n(t) = -3*t + 0*t + 2*t**2 + 4*t + 0*t**2 - 13*t**r. List the prime factors of n(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5 + -4.9. Let y = 11.21 + -0.21. Let r = 11 - y. What is the closest to r in 3, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the first derivative of -4*a**5\/5 - 2*a**4 + 20*a**3\/3 + 12*a**2 + 41. Factor n(u).\nAnswer: -4*u*(u - 2)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/((-12)\/2)*10\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34 is divided by (1 + -1)\/(-29 + 26) + 29?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -353.107 times -0.2?\nAnswer: 70.6214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 2*d**2 + 103*d + 511. Let g be j(-5). What is the highest common factor of g and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 8*s**2 + 5 + s - 9*s - 3*s + 3*s**3 - 4*s**3. What is the units digit of j(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.116437 and 261.\nAnswer: -30.390057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from waxwvvvaww. What is prob of sequence vav?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38*f**2 - f**3 - 4165*f + 37355*f**4 - 37343*f**4 + 2*f**3 wrt f.\nAnswer: 144*f**2 + 6*f - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2684322685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0346502 to four dps.\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 1671.\nAnswer: 5\/1671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11*-2*(-256129)\/2. Let u = a - 1517419. What is u rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-3\/17)*x)**43)**(-6) assuming x is positive.\nAnswer: x**(-7998\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*o**3 + 525*o**2 + 11115*o - 146205.\nAnswer: 5*(o - 9)*(o + 57)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*v - 5*v + 5*v + (-4*v - 5*v + 3*v)*(3 + 0 - 5))*(-1 + 1 - 1)*(-4*v + 0*v - 2*v) to j*v**2 + g*v + b and give j.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 34*j**3*w**2 - 17559889*j**3*w - 2*j*w**2 - 2*j*w + 1178899*w**2 wrt w?\nAnswer: 68*j**3 - 4*j + 2357798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 149ba7 + -12a2?\nAnswer: 148905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*v**2 - 12*v + 12*v)*(0 + 2 - 4)*(v - 8*v + 17*v).\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -132330121 + 1001023?\nAnswer: -131323032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4*t + 23 = 0, -z - 3*t + 41 = -5*t. Let o(k) = 12*k**2 + k**3 + 16 - 5*k + 10*k - 4 + 6*k. What is the remainder when z is divided by o(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 4, g: 7}. Give prob of picking 2 s.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*t**3 - 8239*t**2 + 51*t**3 + 7*t**3 + 8239*t**2.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18\/(-2) - 0 - 1. Let o = b - -12. Suppose -2*r = -2*k + 8, 0 = k + o*k + 2*r - 12. Solve -2*g = 5*l - 1, -3*l = k*g - 3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84 = -81*n + 67*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**9*q**(2\/9))\/(q*(q\/((q\/((q\/q**2)\/q))\/q))\/q)**(21\/4) assuming q is positive.\nAnswer: q**(-91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 6. Put b, -2, 0, -3 in decreasing order.\nAnswer: b, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 7*r**2 - r - 13. Let v be i(-7). Let g = 10 + v. Let 52 + 10*m - g*m**2 - m**2 - 37 = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 27 = -3*q - p, 0 = q + 3*p - 1. Let x = q + -3. Solve -5*a + 10 = -x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -225, -188, -101, 60, 319, 700, 1227, 1924?\nAnswer: 2815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 j when two letters picked without replacement from {n: 2, t: 2, s: 1, j: 2, y: 1, o: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*r + 13*r + 9*r + 2501 + 3*r**2 - 2502 to the form m*r**2 + t*r + x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 4 = b, 4*b - 4*l = -9*l + 31. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -55 + 244. Find the second derivative of 9*i - l + 13*i**4 + 189 wrt i.\nAnswer: 156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10145, 9859, 9573, 9287, 9001, 8715?\nAnswer: 8429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -100001143 - -10?\nAnswer: -100001133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w + 8. Let a be s(6). Suppose l + j - 12 = -a*l, 3*l - 12 = 2*j. Solve -19 + 6 = -u + 2*q, l*u = -3*q - 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7721002 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -64.3 + 53.3. What is the second smallest value in 114, 3, u, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -3*x + 20964, 21*x = 16*x + 5*q + 34960. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 - 17. Let h(o) = 11*o - 4. Suppose -3*p + 3*j + 23 + 4 = 0, 43 = 5*p - 3*j. Let z be h(p). Calculate the greatest common factor of n and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fxxsgfxfxf. Give prob of sequence ff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -59 + 61. Put -4, -2, o, -3 in decreasing order.\nAnswer: o, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 2*d + 8, -d = k. Suppose -k*p + 33 = -p. What are the prime factors of p?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 18 = -10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1085509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 389234 is divided by 231?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 2*g. Let t(p) = 3*p**2. Let q(u) be the third derivative of u**5\/12 - 3*u**2. Let j = 60 + -63. Let o(i) = j*q(i) + 6*t(i). Calculate o(v(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*f + 6*f**5 - 33*f**5 + 4*f**5 wrt f?\nAnswer: -460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 19*i**2 - 92*i - 174. Determine x(20).\nAnswer: -1614","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -406*132.1\nAnswer: -53632.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15.71 - -0.29. Let i = d + -15.71. Let r = i - 0.289935. Round r to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 33 + -29. Suppose -5*q + 634 + 670 = t, -v*q = -3*t - 1047. Calculate the highest common factor of q and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23406.7ml to litres.\nAnswer: 23.4067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/4*14\/189*-20.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11683 divided by 7.\nAnswer: -1669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1125 and 10?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1567 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:33 PM and 9:52 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -43b8b0 (base 13) to base 11.\nAnswer: -9a053a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6 - (0 + -30)\/2. What is the units digit of ((-89616)\/28)\/(-12) - (-6)\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 91721.36 years?\nAnswer: 9172.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 0 and 7816.\nAnswer: 7816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1, -8, -27, -56, -95?\n\"Answer: -5*t**2 + 6*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -1\/2  (b) 0.17  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 + 2 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**3 - 3*d**3 - 2*d**5 + (d**4 - d**4 + 2*d**4)*(d + 1 - 1) + 2*d**5 + 0*d**5 + 2*d**5.\nAnswer: 4*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 12\/(-1) + (-6 - -2). Let s(j) = -6*j + 4. What is the hundreds digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 3*c**5\/10 - c**3\/6 + 7*c. Give r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 620 = 4*n - 144. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*m + 45 - 87 + 42 + 15*m**4 wrt m.\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (1 - -2)\/21 + (-6467)\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**11\/443520 - r**9\/80640 + 19*r**5\/20 + 257*r**2. Let c(s) be the third derivative of k(s). Factor c(h).\nAnswer: 3*h**3*(h - 1)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -12, -42, -110, -234, -432, -722?\n\"Answer: -3*s**3 - s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 (base 11) in base 4?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7 - 4. Suppose 6*y = k*y + 48. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -6*t - 1631. Let c(k) = -2*k - 543. Determine -17*c(q) + 6*f(q).\nAnswer: -2*q - 555","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 18\/99*22*(-13)\/4\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 2, b: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.781 + -2.219. What is the nearest to 0.1 in y, 119, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1885 and 1.7?\nAnswer: 1.8885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6608 - 6568. Solve 10 = -50*r - f for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22739102069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 6*c**3 - 17*c**2 - 37*c - 6. What are the prime factors of b(10)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3 - -3)\/4)\/1. Which is the nearest to n?  (a) 2\/17  (b) 4  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 2*q = -4*l + 3, l + 3*q = 9. Suppose -x = -l*x - 2. Sort x, -5, 4.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3755 and -31.\nAnswer: -116405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/10 + (0 - 0). Let h be 4\/(-18) + (-24)\/(-27). Let m = -1 - -1. Which is the nearest to i?  (a) -2  (b) m  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12002 - -101?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 83673, 166986, 250299, 333612?\n\"Answer: 83313*v + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 4, -1\/5, 10, -1042, 4\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a + 7. Let u(r) = r - 3. Let k = 10 + -16. Let w = -1 - k. Let m(y) = w*u(y) + 2*j(y). Differentiate m(b) with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3226 + 3226.3. Put -0.2, n, -2, 10 in decreasing order.\nAnswer: 10, n, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.264 + -1.234. Is -18 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 74, 119, 164, 209, 254, 299?\n\"Answer: 45*k + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2)\/(-8) + 65\/(-20). Let a be -23 - -34 - 3\/(0 - 1). Let u = a + f. Let w(j) = -j**2 + 12*j - 5. Calculate w(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, b: 2, a: 1}. What is prob of sequence aw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.087*5\nAnswer: 0.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4588 and 2263?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n**3\/7 + 6588*n**2\/7 - 1884*n + 6596\/7 = 0. What is n?\nAnswer: -1649, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -35\/1580323 and 31\/14222907.\nAnswer: 14222907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.59 + -0.49. Let s = x + -0.5. What is the nearest to -0.1 in s, 0.3, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 9 = -f, -3*x + 37 = -5*f - 0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 6405548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -456 + 268?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + z - 1 = -4, -9 = 5*n + 3*z. Suppose -6*y + 2*y - 48 = n. What is the units digit of y\/(-20)*(4 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -628020*o**2 + 3076 + 1579 - 19*o + 627932*o**2 wrt o.\nAnswer: -176*o - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 88 and 1254.\nAnswer: 5016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-30)\/16*(-2)\/10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 94*b**2 - 465*b - 26. What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -12*w. Let u(b) be the first derivative of 3*b**2\/2 + 19. Calculate c(u(j)).\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (0 - 0 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 2, 0, -10 in increasing order.\nAnswer: -10, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 1, 11, -4, 24, 134 in descending order.\nAnswer: 134, 24, 22, 11, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 4934265\/(-196) + -4 + -1. Let i = -25178 - z. Find the common denominator of -15\/28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 164818 (base 11) to base 10\nAnswer: 255208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 67 = -r + 3*d, -r + 63 = d. Suppose -4*v + 356 = 4*y, -4*v + 438 = v - 2*y. Let z = v - r. Calculate the remainder when z is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137*k**3 + 1 + 157*k**3 + 0 - 1.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 + 1)*(-5)\/40*-10. Calculate the greatest common divisor of 100 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 518 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101101111 - 11100110110011?\nAnswer: -11001001000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -7*i - 38. Calculate the remainder when 106 is divided by u(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 113*n + 123 + 1111 = -348 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2206 - 2159 = 163*k + 6230 for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -180*i**3 - 4*i - 10.\nAnswer: -1080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20111 - (-3)\/(-18)*9*2?\nAnswer: 2, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -25242, -25223, -25176, -25089, -24950, -24747?\n\"Answer: 2*z**3 + 2*z**2 - z - 25245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 + (-115)\/135)*(-3)\/(-2). Let g(f) = 5*f. Let y be g(1). Which is the nearest to -0.1?  (a) z  (b) -3  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 38, 37, 36?\n\"Answer: -t + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35967 divided by 2?\nAnswer: 35967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, o: 6, j: 2, y: 9}. What is prob of sequence zjy?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of -18*c**2 + 0*c - 1\/3*c**3 + 1\/4*c**4 + 0. Let x(y) = -5*y + 1. Give -2*h(b) - 3*x(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2683, 5361, 8039, 10717?\n\"Answer: 2678*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7053 + 7054.57. What is the third smallest value in -5, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20 - -28. Let g be 676\/(-8) + (-4)\/i. Let r = -45 - g. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -51\/7, -3, -1\/20, 1\/7, -0.1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*a + 29*a - 1125 = -29*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h + 2*h**2 + 0*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -0.5  (b) -5  (c) 0.1  (d) -176\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -8*b + 25*b - 6 + 3 + 6 + 2. Let q(m) = 9*m + 3. Determine -3*k(u) + 5*q(u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 849301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 82950 - 42350. What is j rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-15)\/25 + 4\/15. Let k(z) = z**2 + 12*z + 3. Let v be k(-9). Let o be (v\/16)\/((-3)\/10). Which is the nearest to f?  (a) o  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1836 and 762399.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*f - 76*f - 528 = 27*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/9890 and 61\/10.\nAnswer: 9890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5100233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**2 + 51300*k - 657922500.\nAnswer: -(k - 25650)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1287.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 = -52*f - 13 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of -u**4\/24 + 3*u**2 + 217. Let r(w) = 704*w - 2. Calculate a(r(d)).\nAnswer: -704*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 62*k + 57*k - 119*k - 246*k**2 as p*k + g*k**2 + a and give g.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 85 - 88 = t, -4*n + t = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41064015?\nAnswer: 3, 5, 1327, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 143, 149, 157, 167, 179?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(208)\/(sqrt(8) - (sqrt(8) + sqrt(72))))\/(sqrt(6)\/(sqrt(3) - (-2*sqrt(3) - sqrt(3)))) + -5)*-3.\nAnswer: -30 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -3) + (-6400)\/3040?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**2\/3 - 10*y.\nAnswer: 2*y*(y - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (174*x**2 - 75*x**2 + 20*x**2)*(x**3 + 0*x + 0*x) + 6*x**3 - 6*x**3 + 7*x**5.\nAnswer: 126*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -193*k**2*r**2 + 3*k**2*r + 33*k**2 - 22*r**2 - 30*r with respect to k.\nAnswer: -386*k*r**2 + 6*k*r + 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*c = 158, -232*c - 934 = -5*p - 233*c. Calculate the smallest common multiple of p and 940.\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -7.19?\nAnswer: -10.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-238)\/28)*(-4)\/(-13). Solve -2*h + p = 0, -4*h + 14 = 33*z - 31*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 825 and 77075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/3*-2*(-27)\/36.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 10557 and 11124?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*i - 59*i = -696. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -6, 5, 80 in increasing order.\nAnswer: -6, -5, 5, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8176681*v - 1 - 8176676*v + 1.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7764 - 38388\/5. Is 86 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49\/(13\/9126*3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -2 + -3 + (1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**16*v*v**(2\/9) assuming v is positive.\nAnswer: v**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47191*l**5 + 9*l**3 - 47151*l**5 + 46*l**3 + (l + 4*l - 4*l)*((1 + l - 1)*(-2*l**3 - 2*l**3 + 5*l**3) - 2*l**4 + l**4 + 2*l**4).\nAnswer: 42*l**5 + 55*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -232, -244, -264, -292, -328, -372?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/107, 6\/17, 0.4, 3.\nAnswer: 2\/107, 6\/17, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4887)\/(-1086))\/(27\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + c**3 + 148*c**4 + 148*c**4 - 445*c**4 - 4*c - 6*c**2 + 156*c**4 in the form k*c**4 + j + r*c**2 + x*c + q*c**3 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 + 18\/(-10) + (-3)\/15. Let y be ((-1)\/(-4)*n)\/(-1). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32588?\nAnswer: 2, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38697862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28.56 - 28.2. Sort 2\/5, -0.3, h in decreasing order.\nAnswer: 2\/5, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00003092703 rounded to 7 decimal places?\nAnswer: -0.0000309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -14104402 (base 5) to base 10\nAnswer: -144352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 267597 = -2*x, -5*x - 5*g - 669010 = -10*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of 2*o**3\/3 + 4*o. Let v(u) be the third derivative of -24 + 0*u**3 + 0*u**4 + 0*u - 1\/20*u**5 - 2*u**2. Determine v(q(t)).\nAnswer: -48*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-1)*64\/48.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4 - 7 = 0. Solve -7 - 5 = r*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -702, -714, -726?\n\"Answer: -12*v - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 2*g + 318, -4*b - g = -3*g + 426. Let s = 227 + b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -185 (base 15) to base 14.\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 + (-14)\/(-8))*4. Let u be (-74)\/(-14) - (-4)\/(-14). Solve o + 0 - t = 2*b, -b = -u*o - 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -10*n + 23. Let r be u(-23). What is the highest common factor of r and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 28, 37, 46, 55, 64?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -2. Let k = 2 - n. Let j = -3.4 - -3. Which is the closest to -1?  (a) j  (b) -2\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1815) + ((sqrt(1815) - sqrt(1815)*-3 - sqrt(1815) - sqrt(1815))*-6 - sqrt(1815)))\/(-3*(-3*sqrt(50))\/sqrt(10)).\nAnswer: -44*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -442, -872, -1278, -1648, -1970?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -575 (base 9) to base 13.\nAnswer: -2a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffddffdffdff. Give prob of picking 4 f.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z**2 + 6*z**2 + 7*z**2 - 16*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3*z + 123836, -3*z - 4*u = -78673 - 45160. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + -80.2. Let d = 80.9 + o. Which is the nearest to -10?  (a) d  (b) -1\/3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92561 (base 14) in base 13?\nAnswer: c447a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*a**2 + 14*a**4 - 19 - 14 - 20*a**2 wrt a.\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = n + 3 - 2 - n**3 + 8*n**3. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*b + 2*b = 30. Solve 0 = b*u + 3*q - 9, 2*u + 8 = -3*q + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 22*k - 437. Calculate j(24).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-4)\/(h\/(h\/h**(1\/12))) assuming h is positive.\nAnswer: h**(-49\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2647*j + 74366 - 13485 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10415 + -6000?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -83*a - 450 - 546 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 16 = -v. Let p be -2 - v\/(-5 - -3). What is the second derivative of 4*h**p + 5*h**2 + 8*h - 5*h**2 - 5*h wrt h?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 6 = -20. Let b = h + -1. Let g(r) = 5*r - 9. Is g(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 258153, 1032623, 2323415, 4130535, 6453989, 9293783?\nAnswer: 12649923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p**(1\/5)\/p)\/p)*p**(-1\/2))**(-26)*p*p**(2\/5)*p*p\/p**(-1\/3)*p*(p*p*p**(-1)*p)**(1\/3) assuming p is positive.\nAnswer: p**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*i**2 - 104*i**2 + 33*i**2 - 9 + 10 to the form d + l*i**2 + b*i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 936564 divided by 4.\nAnswer: 234141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**1*r**(2\/21))**(-26) assuming r is positive.\nAnswer: r**(-598\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 1, 8, 0.1, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1033011 (base 4) to base 2.\nAnswer: 1001111000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10 - (39\/13 - -1*2). Let n be -3*a\/(-20) - 5\/(-4). Solve 5*y = 3*m - 1 - 17, 3*m + 3 = -n*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -644 = -114*a + 91*a. Solve 7*v = 7 + a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (7 + 6 + 6)*(-3837)\/(-3)?\nAnswer: 19, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.826, -0.3, 3\/4, 7, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - t - 3, -4*t = -0*b + 3*b + 10. Let m be -2 - (0 + b) - -33. Solve 4*a + 5*d - m = 0, -a + 2*d = 4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 490 and 12.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -0.018?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -11*r - 218, -29217 + 14607 = -4*r - 14618 for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -51*b**2. Let k(m) = 3*m + 35. Determine r(k(h)).\nAnswer: -459*h**2 - 10710*h - 62475","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7 - 2. Let r be ((-8)\/10)\/(10\/(-25)). What is the greatest common factor of r and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 6:54 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (4 + 3 + -3)) + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*v**2 - 19*v**3 - 22*v**2 - 17*v**2 - 20*v**2 - 22*v**2.\nAnswer: -19*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 5 + -38?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**4\/(((k**1*k)\/k)\/k)*((k*k**(-6)*k*k)\/k)**(-2\/45) assuming k is positive.\nAnswer: k**(188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14718162 by 4906054.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Solve 8661 - 905 + 14267 = 603*c + 5139 for c.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t + 4*t - 2*t)*(11435 + 14954 - 4676 - 3520).\nAnswer: -18193*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 944525.\nAnswer: 5, 37781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*q**5 + 160*q**4 - 330*q**3 - 40*q**2 + 305*q - 120 = 0.\nAnswer: -8, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 6:23 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -71268, -72534, -73800, -75066, -76332?\n\"Answer: -1266*d - 70002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 2*s + 47, 5*h + 2*s + 0*s = -73. Let r be (-17 - h) + 0 + 110. Suppose -r = -3*m + 11. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13 - 2 - 11 - 94*q to o*q + b and give o.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/7 + 497591*j\/7 + 99478200\/7.\nAnswer: (j + 200)*(j + 497391)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 13*s**2 - 14*s - 16. Let b be y(7). Let h = -501 + b. Solve 3*t + t = 5*v - h, -v - 7 = 3*t for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1651 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the second derivative of -29*b**9\/7560 - 13*b**5\/24 - 4*b**4 - 3*b + 11. Let a(u) be the third derivative of r(u). Differentiate a(w) wrt w.\nAnswer: -232*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 1:55 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 222*y + 3841. Calculate b(18).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4324283 litres to millilitres.\nAnswer: 432.4283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -453 < -438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, s: 1, i: 1, u: 1, k: 1}. What is prob of sequence os?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -16*d**2\/5 + 131*d\/5 - 268\/5.\nAnswer: -(d - 4)*(16*d - 67)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r + 28 = -5*u, 39*r - 4*u = 40*r - 15 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -34370 times 1524\nAnswer: -52379880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -328771000 to the nearest one million.\nAnswer: -329000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = o + 4, 38 - 10 = 2*o - 5*f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 72 + -71.8. Which is the nearest to 0.068?  (a) -0.2  (b) 3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3  (b) -20\/11  (c) -346  (d) 8  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kbm when three letters picked without replacement from kkmwwwwwwwbkmkw.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*sqrt(2) + sqrt(2))**2 - ((-2 + sqrt(98) - sqrt(98))**2 - sqrt(2)).\nAnswer: -23*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 11\/7, -1\/5, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4930 - 70 = -18*j. Let i be (0 + (-6)\/(-5))*j\/243. Which is the nearest to 0.3?  (a) -1\/9  (b) i  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 642 - 178. Which is smaller: -114 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**5 - 8*w**4 + 8*w**2 + 4*w.\nAnswer: -4*w*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 85*p - 650. Is 10 a factor of w(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 + -22 + 2*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - y - 16, 3*s = y - 17. Let r = 8 + s. What is the tens digit of (116\/16)\/(r\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - o - 4*x - 16 = 0, -3*o = 3*x + 12. Let r = o + 7. Suppose r*y = 3*y. Solve y = 4*d - 2 - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**4\/12 - l**3\/3 - 3*l**2\/2 - 23*l. Let a(o) = o**2 - 4*o - 1. Let i be a(5). Calculate v(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170c85 (base 13) to base 6\nAnswer: 20142233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {t: 1, j: 1, b: 2, k: 2, i: 2, p: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2.9 + 34.9. Let i = -32.2 + b. What is the third biggest value in 2\/5, -0.1, 5, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 + 0*n**2 + 45 - 92 + 47.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-57)\/6384*-64*392\/(-8)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -883*w = -5*l - 888*w - 10, 2*l = 4*w - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*d**5\/2 + 2765*d**4 + 1534555*d**3\/2 + 1520755*d**2 - 767280*d - 1523520 = 0.\nAnswer: -552, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 10:00 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -39\/5, 2\/7, -22501\/4, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**2 - 6*v + 6. Let g(i) = 2*i**2 + 6*i - 5. Calculate -3*a(w) - 4*g(w).\nAnswer: w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/3034 and 59\/656?\nAnswer: 24272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -8 + 10. Suppose -4*n + 16 = 4*g, -14 - t = -4*n + g. Solve s - 4*z = -n, 0*s + 4*s = -3*z + 3 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(833) - (-2*sqrt(833))**2) + 1.\nAnswer: -21*sqrt(17) + 9997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3 - 2*u + 3. Let l(r) be the first derivative of 0*r + 2\/3*r**3 + 0*r**2 - 4. Determine l(v(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 1864604 times -0.3\nAnswer: -559381.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003731075 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzooffodrdoi. Give prob of sequence rd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u + 3*u - 4*u + 3*u. Let n(i) be the first derivative of 2*i**3\/3 + 107. What is m(n(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o - 3*v = -240, -3*v + 76 = -2*o + 216. Suppose 5*g + 6 = o. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 + 7. Suppose 3*w - 2 = v*w + q, 2*w + 3*q + 21 = 0. Let k(n) = 7*n**3 - 3*n**2 - 3. Let a(y) = 20*y**3 - 8*y**2 - 8. Give w*a(g) + 8*k(g).\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -27 + 39. What is the highest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*j = 2*k + 29, -j - 78 = -k - 70 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 + 7*m + 2. Let i be f(-7). Let x be (6\/(-9))\/(i\/(-90)). Solve -35 = -2*g - 5*k, 3*g - 2*k - x = -5*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - 11. Let n(p) = -p**2 + 11. What is -4*n(r) - 6*w(r)?\nAnswer: -2*r**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57379 = -122*l + 40099. Suppose -t = 5*j - 27, -5*j = -5*t - 0*t + 75. What is the greatest common divisor of l and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 2*y**4 + 2*y**2 + 0*y**4 + 2 + 0 as h*y**3 + g + n*y**4 + a*y + d*y**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + 11*q + 10. Let s be u(-10). Suppose s = 4*h - 5 - 43. What is the units digit of h\/5 + 4\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (131\/(-1) - -2)*(-96)\/36.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 323 a factor of 5258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -3, -6, 0.1, 1322, 4, -33\/2 in increasing order.\nAnswer: -33\/2, -6, -3, 0.1, 4, 5, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 33 - -21 - (186 + -185)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3 + 2*b)*(134*b + 199*b + 59*b) to the form t*b**2 + o*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1165, -2430, -3797, -5266, -6837?\n\"Answer: -51*b**2 - 1112*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = -0 + 72. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -42.4.\nAnswer: -16.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000607887 rounded to 5 dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -4*b - 2*d + 722, -3*b = d - 536. Suppose -5*n = 73 - b. Calculate the remainder when 82 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3090 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 b when three letters picked without replacement from {g: 1, b: 3, i: 3, e: 5, t: 1, r: 4}?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00051560347 rounded to 6 decimal places?\nAnswer: -0.000516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/20)\/(297\/55)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/(-16) - (-308)\/16. Let y = j + -30. Do y and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -20*r**2 + 43*r**2 - 8 + 10 - 18*r**2 - 3*r - 41*r**3 + 4*r to the form n*r**2 + w*r**3 + b + j*r and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = c**2 + 7*c. Let s(a) = 4*a. What is 4*d(q) - 9*s(q)?\nAnswer: 4*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6368*p**2 - 3*p + 28978?\nAnswer: -12736*p - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-2\/35)*w)\/w*w**(-5\/4) assuming w is positive.\nAnswer: w**(-27\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + 14 + -6 - (-27 + -3 + 10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4095 (base 12) in base 16?\nAnswer: 1b71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 10\/(-4)*15\/75. Which is the nearest to d?  (a) -0.4  (b) -1  (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 273064415 to the power of 1\/2, to the nearest integer?\nAnswer: 16525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 - 17 = -6*c. Suppose g + 60 = c*g. Suppose 4*p - g = 2*p. Solve 3*i = 8*i - a - 20, -3*i - p*a = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (13 - 1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -301 divided by -5.\nAnswer: 301\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*r - r - 2*r + (4 - 4 - 1)*(r - r + 2*r))*(-7*r + 3*r + 2*r) in the form h*r + j*r**2 + k and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + l = -164. Let z = l - 156. Calculate the least common multiple of 20 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3990 = 63. Let w = v + -4235. List the prime factors of (-4)\/(-3) - w\/42.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/10336 and -31\/3192.\nAnswer: 217056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -96094, -768679, -2594260, -6149335, -12010402, -20753959, -32956504, -49194535?\nAnswer: -70044550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003253355 to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6495 + 6494. Sort 4, -6, -2, 2, s.\nAnswer: -6, -2, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*m**2 + 1304 + 37*m**3 - 4*m**2.\nAnswer: 37*m**3 + 1304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 31 + -24. Suppose -15 = -q*r + 2*r. Suppose 3*s - 2*c - 61 = 0, -r*s + 28 = -3*c - 35. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61*c + 6 = 58*c, -5*c = -3*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 146*v**3 + 2960*v**2 - 4*v + 180549 wrt v?\nAnswer: 876*v + 5920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 25 = 4*r, -4*r = -16*v + 12*v + 52. Let o(g) = 5*g. Let z(i) = -16*i + 1. Let n(c) = -7*o(c) - 2*z(c). Is n(r) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -277, -276, -275?\nAnswer: -274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.01343 - 20.35657. Let b = -0.37 - z. Let r = b - 21.38. What is r rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2 - n + 2. Let j be f(-4). Let z be (-2)\/j + 16\/20. Suppose x - 21 = a, 2*x - 41 = 4*a - z. What is the highest common divisor of x and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 3*h + 13, -h + 5*h + 4 = 0. Let l be (1\/(-3))\/((-5)\/(-1077)). Let c = 71 + l. Is c smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -9148, -18292, -27436, -36580?\n\"Answer: -9144*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1)**24*a**(7\/2)\/(a\/(a**1*a)*a))**(17\/4) assuming a is positive.\nAnswer: a**(935\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 19*v + 292. Let i be z(-14). Let f(s) = s**3 - 27*s**2 + 28*s - 51. Calculate f(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**2 + 4*a**2 - 5*a**2 + (1 - 3*a - 1)*(-a + 2 - 2))*(-5466*a + 5466*a - 5*a**2 - 11).\nAnswer: -20*a**4 - 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -8 - 13 - 6 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = p - 4, 8 = 2*p - 0*n - n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 228989, 228689, 228201, 227525, 226661, 225609?\n\"Answer: -94*r**2 - 18*r + 229101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*t - 7 - 2 + 8 to the form d*t + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -602 (base 14) to base 9\nAnswer: -1548","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 141\/13 + (-132)\/12?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*b - 48*b - 29*b**2 + 4*b wrt b.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 30 = -3*c, -5*c + 3*o + 24 = 5*o. Suppose c*p = 4*p - 1418. Let i = p - -1266. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -2\/29, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 816 and 2512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2.4 or -230.704?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 + -1 - (9126 - 9071)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2064.9 and 2015746528?\nAnswer: 2015744463.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 112 is divided by 110.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23 - 12 + 44)*(4*b - 3*b + 2*b) as o + k*b and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 12*g**2 + 21*g + 10. Determine u(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 101109, 101130, 101165, 101214, 101277, 101354, 101445?\n\"Answer: 7*q**2 + 101102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1046761617?\nAnswer: 3, 11, 31720049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of 0*b + 0 - 2*b**2 + 0*b**3 + 1\/20*b**5 + 0*b**4 - 1\/40*b**6. What is the third derivative of k(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 4121 = -r, 2*m = 4*r - 2*m - 16464. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13290704.71+-3.9\nAnswer: -13290708.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 313556838 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76555, 76539, 76497, 76417, 76287, 76095?\nAnswer: 75829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -4*r**2 - r**2 + 4*r**2 + 4*r**2. Let b(t) = 9*t**2. What is b(u(k))?\nAnswer: 81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/10 - 676\/(-520). Put 3, r, 9, -1 in decreasing order.\nAnswer: 9, 3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 3*o + 12, -3*o = 3*l - 2*l. Suppose l*t = -0*t + 42. Suppose -4*x - d + 463 = 0, -3*x - 469 = -t*x + 5*d. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -13*g + 1. Let u be q(-2). Let d(m) = -m**2 + 26*m + 39. Let w be d(u). Solve 0 + w = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 2303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1183, 4, -4, -2 in decreasing order.\nAnswer: 1183, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*h - 16. Let y = h - -11. Solve -5*t = 2*j - 1 + 23, 5*t + y = 5*j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -59*s + 3192. What is the remainder when 383 is divided by m(52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0350992147 to 4 dps.\nAnswer: -0.0351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 770*s**3 + 0*s + s**2 - 791*s**3 - 3*s + 2*s + 73*s**3 to the form o + i*s**3 + y*s**2 + x*s and give i.\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 4*m = -2*s - 11, 0 = 4*m + 5*s - 96. Suppose m*f = 16*f + 24. Solve 0 = 5*x - x + f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3323 (base 4) in base 12?\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1205977313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/606295 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26054 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 334 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 217 + -5 - (1 + -1). Suppose 2*o - l = -5*h - 2*o, 4*h - 157 = o. Suppose 3*a = 3*b - 27, -a = -4*b + 4*a + h. Does 2 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -581336, -581335, -581334, -581333, -581332?\n\"Answer: q - 581337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -63*w**5\/5 + w**3\/6 + 587*w**2\/2 - 8*w + 16. Differentiate y(i) wrt i.\nAnswer: -756*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/((r**(-1\/4)*r)\/r))\/r)**(8\/5)*(r*r**0*r*r)**(-1\/4))**18 assuming r is positive.\nAnswer: r**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 3*f - 4 = 0. Suppose 0 = 4*h - 1 - 3. Calculate the highest common factor of h and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2316000 rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 818093786.\nAnswer: 2, 223, 337, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -42*r**3 + 1136852*r**2 - 7692996280*r - 732676624 = 0.\nAnswer: -2\/21, 13534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -1\/4, -8, -0.14228, 2\/13?\nAnswer: -0.14228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*n*u**3 - 7*n*u**2 + 37*u**3 + u**2 wrt n?\nAnswer: -4*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of k**4\/2 - k**3\/3 - k**2\/2 + k. Let s be u(-1). Solve -2*d + s*d - 5 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -9. Suppose -13*x - 271 = 15. Which is the closest to -1?  (a) n  (b) -0.4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 83 + 78 + 6*b**2 - 165 - b to the form u*b**2 + m*b + h and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**2 - 4. Let u = 40 + -36. Suppose m + 4*f = -0*f + 5, 0 = 2*f - u. Let w be l(m). Solve 5*r + w*q = -45, 2*r = -0*r - 5*q - 33 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 139  (b) -0.1  (c) -2\/85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9a - 1724a98?\nAnswer: -17249ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v**2 - 2*v - 5. Let x(s) = -6*s**2 - 45*s - 159. Let g(b) = -3*l(b) + x(b). Solve g(q) = 0.\nAnswer: -3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16*d**4 + 4068*d**2 + 2*d - d**3 - 4068*d**2 + 1 to k*d**2 + l*d**3 + w*d**4 + i + f*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -15137 or -15136?\nAnswer: -15136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u, 1 i, and 1 h when three letters picked without replacement from iihyriiiuuyhuiiyuh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 545364 is divided by 49578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 91699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 55656700 rounded to the nearest one million?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000021785725 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, r: 4, v: 2}. What is prob of sequence rrmv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6928032l to millilitres.\nAnswer: 692.8032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 5*r**3 - 361495*r**2 + 15896315*r - 15534825 = 0?\nAnswer: 1, 43, 72255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -11*p + 12. Let z be g(-7). Suppose 2*n - 5*o - z = -0*o, -2*n - 4*o + 116 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - y + 2)*(2 - 1 + 0) + 1 + 2*y - 1 + (-6*y + 2*y + 2*y)*(-33 + 81 - 152 + (1 - 4 + 1)*(1 - 2 + 3) - 3 + 1 + 3).\nAnswer: 215*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 8*l**2 - 4*l + 66. Let r be g(7). Suppose r = 5*y - 4*s, 554 - 119 = 5*y - 5*s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**2 - 1 + 1 + (q - q - 2*q**2)*(-6 + 4 + 4).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5 - 0.9. Let s = -3.7 + m. Put -4\/9, s, -0.1, -0.4 in increasing order.\nAnswer: -4\/9, -0.4, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 = -9*b + 3*a + 137, 55*b - 52*b = -2*a + 39 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002864155 to 7 dps.\nAnswer: 0.0002864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.4 - 0.4. Let r = t - 4. Let x = 56 + -60. What is the nearest to 0.1 in -2\/7, r, x?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141021111 (base 5) in base 9?\nAnswer: 1316773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(99) + 1)**2 + (2 + 1 + sqrt(99))**2 + (-2*(sqrt(99) + 2)*-3)**2 + 4.\nAnswer: 468*sqrt(11) + 4712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 66990 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z - 4*z - 3. What is the smallest common multiple of z*(0 - (-8)\/(-2)) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11206, -22, 4 in descending order.\nAnswer: 11206, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of -j**3\/6 + j**2\/2 + 4*j. Suppose 0 = -2*k + 1 - 15. What is the units digit of o(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -31.629 - 0.371. Put -0.1, -1, a in ascending order.\nAnswer: a, -1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6479723.7 rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -28*r**3 + 1622*r**2 + 58*r + 3366. Give m(58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 6 + 377299?\nAnswer: 377305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (9 - 13 - -12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7289547719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2105 + 1339. Let c = -766 - j. Put -48, c, 1 in descending order.\nAnswer: 1, c, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -513 + 526. Let b be x\/((-26)\/(-30))*(-2)\/6. Let t(u) = u**3 + 4*u**2 - 7*u - 7. Calculate t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53137554 by -17712518.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -z**4\/4 - 7*z**3\/3 - 5*z**2\/2 + 7*z + 27. Suppose -i - 18 = 2*i. What is r(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -1145*n + 3430. Let u be l(3). Which is the fourth smallest value?  (a) -2\/15  (b) -123  (c) u  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 27 + -18. Let z(f) = 23*f - 3*f - 42 - q*f. What is the units digit of z(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 7*b**3 - 2*b**2 - 4*b + 2. Let w = 63 + -175. Let l = w - -115. What is the tens digit of c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -85 + 152. Suppose -23*r + x + 2 = 0. Solve -12 = r*g + 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 0 + 0 - t. Let k(m) = -m - 2. Let z be k(3). Let h(l) = -7*l**2. Let a(f) = 15*f**2. Let c(b) = z*h(b) - 2*a(b). Calculate w(c(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 590861, 1181721, 1772581?\n\"Answer: 590860*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 less than 63093\/452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from uou.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89*l**3 - 74*l**3 + 164*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4606.4 times -0.1275\nAnswer: -587.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1960 - 344 = 202*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1846\/22 + 5 + (-324)\/66. Let o be s\/294 + 102\/(-14). Sort -3, 7, o, 5.\nAnswer: o, -3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 7*v**2. Let t(f) be the second derivative of 266*f**3\/3 + 3481*f. Determine a(t(r)).\nAnswer: 1981168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*d**2 + 40*d**2 + 0*d + 2*d - 156*d**2.\nAnswer: -142*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w - 1. Let j be 15\/(-3 - (-12)\/3). Let p(x) = x - 3. Let z(o) = j*s(o) - 5*p(o). Let k(f) = 3*f. Determine z(k(t)).\nAnswer: 30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3974387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 81\/36*8\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 120*z**2. Let m(l) = 7*l**2 + 30*l - 12. Let o(t) = 14*t**2 + 55*t - 22. Let k(f) = 11*m(f) - 6*o(f). What is k(i(v))?\nAnswer: -100800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 5503330202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-1587)\/(-15) + 3\/15 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o - 4. Let y(u) = -u + 5. Let a(h) = 5*t(h) + 4*y(h). Let m(n) = 4*n**2 + n. What is a(w) - m(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/((-40)\/(-9)))\/(((-310)\/20)\/31).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 8*x + 9. Let r(k) = 2*k**2 + 16*k - 17. Let j(z) = 5*i(z) + 2*r(z). Let b be j(-7). Suppose 0 = -f - 2*f + b. Solve f*g + 10 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-4 + (sqrt(117) + 4 + 3 - (sqrt(117) + -5 + -2 - sqrt(117))) + 2)*-6.\nAnswer: -72 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3, -4, -9.5, -2\/11, 161?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3174 + -3174. Is f greater than 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 7  (c) -2\/11  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/((j\/(j**(-1)*j))\/j))**(-18\/11)\/(j**(-6)\/(j*j**(-3\/2)*j)))**(30\/11) assuming j is positive.\nAnswer: j**(1605\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10.5 + 15.5. Let y = -7 - -4. Let v = l + y. Which is the second biggest value?  (a) v  (b) 5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -153 - -152.6. Let j(c) = -c**3 - 8*c**2 - 8*c - 2. Let m be j(-7). What is the smallest value in m, 1, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of 161*f**4\/12 - 17*f**3\/2 + 124*f. Find the second derivative of l(d) wrt d.\nAnswer: 322","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(35) - 2*sqrt(35))*1)\/sqrt(7)*-5.\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -105?  (a) -5  (b) 2\/7  (c) 2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 347634 by 623.\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45\/32 - 3\/32. Let q be (-8)\/32*(21\/13 + -1). What is the closest to q in -0.4, h, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 380 + -579. Let m = i - -26. Let v = m + 172.9999929. What is v rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 - -55. List the prime factors of y.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9826075201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*c = -9*c + 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.4 + -1.7. Let n = -1 + 1.5. What is the smallest value in n, b, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(352) + sqrt(22))*6)\/((sqrt(11) - sqrt(11)*3)*-1).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 6*k = -25. Suppose 7*d - 3*d - 60 = 0. Solve d = -k*o - 0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -24*l**3 + l**2 + l. Let m be w(-1). Suppose 2*h + 0*h = m. What is the remainder when 2\/8 - 278\/(-8) is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.09 - 5.91. Let q be 110\/(-495) - (34\/(-72))\/1. Is q smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-249)\/(-166)*220\/(-30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 7*w - 13. Let i(l) = 3*l - 6. Let g(q) = 9*i(q) - 4*k(q). Let o be g(-4). Calculate the highest common divisor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*a + 4345 = 4329 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 2\/7, 2, 1, -62, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.2123605l?\nAnswer: 212.3605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 186 - (-2)\/(-6 - (-8 - -3)). Suppose -33*h = -34*h - x + 36, -5*h - 4*x = -c. What is the least common multiple of 36 and h?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1.12 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 102 - 95. Let p(j) = 263*j - 244. Is 39 a factor of p(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26 - 148.3788.\nAnswer: -122.3788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -8*n + 2. Let i(o) = -32*o + 12. Let b(f) = -28*f + 10. Let z(t) = 4*b(t) - 3*i(t). What is -13*c(s) + 6*z(s)?\nAnswer: 8*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 271211 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 52\/195*-10*1197\/(-532).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -287*z - 281*z + 568*z - 12*z**2.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.76393 to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4*s - 356751 = 0, -3*s = -64*f + 66*f - 237800. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*m - 2*m - m)*(3 - 4 - 5).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a*a**(-1\/2))))\/(a*a**(-17)\/a*a))**(-38\/5) assuming a is positive.\nAnswer: a**(-627\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 143 and 252208.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 36855740 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -413.3 - -395. Let z = a + 18.3000018. Round z to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*o - 192 = 237 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = -5*f + 1836840, -4*v = 2*f - 625906 - 108840. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = -5*r + 70. Suppose -3*y + r = -10. Calculate the highest common divisor of 24 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*g + 84*g + 1 - 69*g + 267*g to l + j*g and give j.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3746.\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 415090 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 - 16*x**2 + 21*x + 4. Let l be p(12). What is the highest common factor of l and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 83.10097 millennia?\nAnswer: 831.0097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = c. Let v(n) = 2 - 1 - c*n + 11*n. Give v(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(14)\/(sqrt(70)\/sqrt(90)) + -3)*4 + 5)**2.\nAnswer: -168*sqrt(2) + 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b + 1. Let l be c(7). Let q be (160\/30)\/(12\/18). Is q at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(16)*3)\/(sqrt(88)\/(-1*sqrt(11))).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/6  (b) -0.227  (c) -0.0236  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes before 2:35 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/15*1)\/((-6)\/(-60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 + 5*q + 1. Let a(h) = -h**2 - 5*h - 3. Suppose -2*s - 20 = -3*k, 4*k + 8*s = 4*s + 20. Let o(j) = k*d(j) + 4*a(j). Is 6 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) -155.3  (c) -1  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 82836364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + -1. Let t(z) = 3 + 3 + 0 + 3*z. Let o(s) = 4*s + 7. Let g be (-3)\/(0 - (-6)\/(-8)). What is g*o(a) + k*t(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 - 6*q - 14. What is h(-6)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 (base 9) in base 11?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 110479 = -3*d, 8*d = 5*d - 5*m + 110519. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 4*k**2 + 7*k - 6. Let g be d(5). Let x(j) = -8*j**2 - 8*j + 2. Let v be x(g). Let h = 61 - v. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 - 2*m**2 + 4*m - 4. Let r be a(3). Let b = -9 + r. Let s = 364 + -360. What is the lowest common multiple of s and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1361565 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9861 + 39254. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 AM and 9:37 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1022011121 (base 3) in base 12?\nAnswer: -12a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 24*q - 128*q - 363*q**2 + 359*q**2.\nAnswer: -4*q**2 - 104*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35.8*-0.4.\nAnswer: -14.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 - 9*i**2 + 3*i - 24. Let j be h(9). Let l(m) = 1357*m**2 - 13*m + 29. Is l(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 49*y + 622. Let l be s(-10). Let m be (2*-3 + 2)*-1. What is the greatest common factor of m and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**4\/j)\/(j*j**20))\/(j\/(j\/(j*j\/(j\/((j**(-1\/22)\/j)\/j*j*j*j))*j))*j\/(j*(j**20\/j)\/j)) assuming j is positive.\nAnswer: j**(-65\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 (base 3) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 354, 569, 792, 1029, 1286, 1569, 1884, 2237?\n\"Answer: t**3 - 2*t**2 + 214*t + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 808 + -364. Let g = -440 + v. Solve 3*z = -4*u - 9, 0*z + 2*u = g*z - 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 136*u - 105. Calculate d(0).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6807713993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**3 - 6*p**3 + 3*p**3)*(-2 + 96130*p - 96130*p - p**2).\nAnswer: p**5 + 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -515 (base 16) in base 13?\nAnswer: -791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 84558560*o**4*t**3 + 63*o*t**2 - o - 106105*t**3 wrt o?\nAnswer: 1014702720*o**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -156106 or -156100?\nAnswer: -156106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -163\/290 + 9\/145. What is the second biggest value in -13, 9\/8, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 82 = -4*r, v + 2*v = -6. Let o = r - 20. Suppose -o*m = -12 - 21. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + s**2 + 18. Suppose 8*p + 0 + 0 = 0. Give u(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(150)\/sqrt(3))\/sqrt(10)*-1 + 3)*3 - (sqrt(275)\/(sqrt(5) + 1*sqrt(5)))\/(sqrt(11) + (sqrt(99)*-3)\/sqrt(9)))**2.\nAnswer: -99*sqrt(5)\/2 + 1901\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/12 - (-5 + (-82)\/(-12)). Let h(s) = 3*s**2 + 3*s - 4. Let t be h(a). Solve z + t = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of -5*x**5 + 46*x - 28. What is the first derivative of y(l) wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 9, a: 7}. What is prob of sequence mmma?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 5*i + 6. Let c be l(6). List the prime factors of (-26 + c)\/(2\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = -11*u + 196. Let f = 0 + 3. Let q be ((2 - f) + 2)*7. What is the greatest common divisor of q and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3 + -5 - (-10 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -32 + 21.7. Let n = d - -10.359. Let r = n - -0.731. What is r rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.06 - 0.46. Suppose -j - 3*j = 3*j. Suppose -9*q + 49 + 14 = j. Is q less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 4 = -1. Let a = -875 - -876. Solve -u + 0 = -a, 0 = 2*c - s*u + 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 + 19. Let t be 0\/1 - (-8 - -1). Let g = x - t. Solve 2*f - g = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of -n**6\/6 - 13*n**5\/2 - 70*n**4 + 65*n**3\/3 + 845*n**2\/2 - 3*n - 9. Factor t(s).\nAnswer: -5*(s - 1)*(s + 1)*(s + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f**3 - f**3 + 7*f**3 + 5*f**3 - 9*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7887598 and 39437990.\nAnswer: 39437990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -537 + 164. Let t be (3\/15)\/((-10)\/50)*373. Is t smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l - 5. Let y be c(6). Let o = -51 - -54. Suppose o*i + 8 = -y. Let g(k) = -2*k**2 - 2*k - 2. Calculate g(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 39 = -5*d. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k + 11 = 3. Let t(m) = -2*m**2 - 15*m + 275. Let i be t(-16). Put i, -22, k in descending order.\nAnswer: i, k, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1011232 (base 4) in base 9?\nAnswer: 6107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 9:09 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 not equal to 1.78095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1522 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 103 + 215 = 0. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + ((-19 + 1 - 5) + 5 - (0 + 8)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 66.52821 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.6 times -3790394\nAnswer: 2274236.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 5b?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4\/(-6) - 23\/(-3). Suppose 194 = 9*d + 167. Solve -v = d - x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 4*y = -19, 0 = 2*j + 2*y + 2*y - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -411 + 649. Let d = g - -251. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fifty-one quarters of a meter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6477588 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -251 = -127*i + 257 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 6)*(3*j - 2*j - 2*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -5*u**2 + 0*u**2 + 13*u**2 - 6*u**2 - u**2. Let c(a) = 519*a**2. Give i(c(o)).\nAnswer: 269361*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/44 - (30108\/(-1848) - -17)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d. Let h = 99 + -131. Let w = h + 33. Determine a(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6794448977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x + 4. Let d be b(-7). Let u be 30\/8 + d + 7. Let z = -0.11 - 0.39. Put z, u, 5 in decreasing order.\nAnswer: 5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e, 1 y, and 1 z when four letters picked without replacement from fezicyey.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 965.7109 centuries to millennia.\nAnswer: 96.57109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 3*g - 159, 0 = -0*x + 5*x - 15. Let m = g + -86. Let p = -10 - m. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 0.1, -1\/11, 0, 3, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 2*s**2 + 179. Let r(v) = -v**2. What is z(r(p))?\nAnswer: 2*p**4 + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -5*s. Let t(d) be the first derivative of -247*d**2\/2 + 1068. Determine h(t(z)).\nAnswer: 1235*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1220 take away -8142?\nAnswer: 6922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 43*c - 44*c + 591, 3*c - 1719 = -3*o. Calculate the greatest common factor of 360 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -0.148, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3 + (5 - 1))\/(1\/10). Let a(c) = c**2 - 9*c - 9. Let y be a(z). Let r(f) = -23*f + 1. What is r(y)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 676*m - 654*m + 104 - 566 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -45*a**6 + 10*a**3 - 20*a**2. Let c(y) = 15*y**6 - 3*y**3 + 7*y**2. Let u(o) = 10*c(o) + 3*w(o). What is the third derivative of u(g) wrt g?\nAnswer: 1800*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34 + -5 + (-52 - -67).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -1121*j**5\/30 - 1057*j**4\/12 + 3*j**2 - 74*j. What is the second derivative of g(d) wrt d?\nAnswer: -4484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (2 - (-2 - 1)). Suppose 5*c + v = 70, -3*c - 2*c - z*v + 90 = 0. What is the remainder when 38 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.13093 and 0.4?\nAnswer: 0.052372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -265*a - 2760*a - 570*a - 2140*a - 8637*a.\nAnswer: -14372*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 2\/3*l**3 - 8*l - 73 + 3*l**2. Suppose y(n) = 0. Calculate n.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 11:06 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2045503457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1005 and 80601?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m**(-5)*m)*m)\/(m**(1\/3)\/m*m))\/((m\/(m\/(m**(-1\/3)\/m)))\/(m*m\/(m*((m*m**(-2\/19)*m*m)\/m)\/m))))**(-1\/19) assuming m is positive.\nAnswer: m**(-135\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -28*y - 98. Calculate the least common multiple of n(-11) and 21.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(-2*sqrt(4032) - sqrt(63)*-1*3))\/(sqrt(9) + 5*sqrt(324) - 3*sqrt(576)).\nAnswer: -39*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 459143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*w + w + 6*w + (1 - 2*w - 1)*(0 + 1 + 1) + 3*w + 0*w + 5*w + w + 0*w + w + (-3 + 1 + 1)*(-4*w + w + 2*w) + 83 - 14*w - 83 as v*w + z and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*w**5 - 34*w**3 + 106*w + 1 wrt w.\nAnswer: 60*w**3 - 204*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 365 at most -1954.97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 - 9*y**2 + 8*y - 4. Let p be u(8). Let s(o) = -8*o**2 - 2*o - 5. Let w(g) = 3*g**2 + g + 2. Let j(x) = p*s(x) - 11*w(x). Factor j(a).\nAnswer: -(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14247 = 844*p - 15775 - 10490 for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i = 5*s - 15, -2*i = -0*s - 4*s - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.2, -0.337, -3, 5, 4260?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -872849 divided by 3\nAnswer: -872849\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s**2 - 9*s - 6. Let x(y) = -3*y**2 + 13*y + 9. Let c(u) = 7*n(u) + 5*x(u). Factor c(i).\nAnswer: -(i - 3)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that 36 - 44609*c**2 - 269*c - 211*c + 44528*c**2 = 0.\nAnswer: -6, 2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.28 - -0.335. Let w = -5.7 + 5.75488. Let y = w - x. What is y rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 115.771 - 114.771. Suppose -3 + 13 = 2*j. Which is the nearest to 2?  (a) 3\/4  (b) j  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**3\/4 - 65*g**2\/4 - 195*g\/4 - 135\/4.\nAnswer: -5*(g + 1)*(g + 3)*(g + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of 5*q**6\/3 - 3*q**5\/2 - 3*q**4\/2 - q**3\/3 + 12*q. Factor r(b).\nAnswer: 2*b*(b - 1)*(5*b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*r - 6699 = -64*r. Calculate the least common multiple of r and 27.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 190272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**3 - 8*n**2. Let h be z(-8). Suppose 5400000 = -h*d + 4*d. What is d rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 8:15 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 96954 and 95381.\nAnswer: 64668318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -831*h**2 - 3398 + 3400 - 811*h**2 - 56*h**2.\nAnswer: -1698*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 29726865 and 224847?\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -5*l - 81 - 58, 0 = -4*f - 5*l + 323. Let b = -72 + f. Solve 0 = -5*h + 2*h + 12, b*h = -j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -45 (base 7) to base 14\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 444250?\nAnswer: 2, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = k**3 + k**2 - k + 1. Let a(z) = 3*z**3 + 3*z**2 - 4*z + 2. Let c be (-4)\/5*(-15)\/(-6). Give c*t(i) + a(i).\nAnswer: i**3 + i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 223 + 465. Let r = -111 + j. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2880\/7 or -2176?\nAnswer: -2880\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.85351012 - 1.853. What is b rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44491, -88913, -133291, -177619, -221891, -266101?\nAnswer: -310243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 3753 - 3753. Let i(t) be the first derivative of 5\/3*t**3 + j*t + 22 + 0*t**2. Let v(m) = 4*m**2. Give v(i(f)).\nAnswer: 100*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 8*d - 7*d. Let k = 6 + -5. Let h = -2\/5 + 3\/20. Sort k, d, h in increasing order.\nAnswer: h, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -169*c - 4*h = -166*c - 7, -c - h = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 1585246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -257154 + 90585490.8?\nAnswer: 90328336.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 884381500 to the nearest one million.\nAnswer: 884000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.133 - 0.633. What is the second biggest value in 1\/9, d, -0.9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/((8\/(-2))\/(-2)). Which is the second smallest value?  (a) 2  (b) u  (c) -2\/7  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = t + 17. Let u be b(-9). Suppose 0 = -s + 66 + u. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**3\/c)\/(c**(8\/5)*c)*(((c\/(c*c*(c**(-2\/9)\/c*c)\/c))\/c*c)\/c)\/c**(-1\/6) assuming c is positive.\nAnswer: c**(-19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1\/3, 0.2, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 200 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3221, -3203, -3159, -3077, -2945, -2751, -2483?\n\"Answer: 2*b**3 + b**2 + b - 3225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.76695l in millilitres?\nAnswer: 20766.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of 3*q - 16 - 1\/4*q**4 + 1\/3*q**3 + q**2. Give n(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/8 and -25\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in 2\/99, 0, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1897)\/(-542)*(1 + 6 + -19).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + g**2 + g - 3. Give o(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 161271077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 201, 402, 607, 816, 1029, 1246, 1467?\nAnswer: 1692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1122 - -100?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4987 + 5026. Solve 10*u + 21 = -x for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 48293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.105 - 12.895. Which is the biggest value?  (a) q  (b) 0.04  (c) 1  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 223 + 56. Calculate the remainder when s is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.952427 millilitres to litres.\nAnswer: 0.006952427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -30888.102 + 30915. Let v = 0.298 - b. What is v rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -j**2 + 7. Let i(n) = 10*n**2. Give i(k(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 3659 + 2*u - 3623)*(-2*u + 0*u + u)*(-3 + 1 + 1)*(-u + u + u).\nAnswer: 2*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 12, a: 6, m: 1}. What is prob of picking 3 c and 1 a?\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x = -4 - 52. Let u be (-3)\/9 + (-12)\/(-9). Suppose -7 - u = -4*t. Solve 2 = t*h + x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of 0 + 0*k - 1\/40*k**6 - 4\/9*k**3 - 7\/18*k**4 - k**2 - 1\/6*k**5. Let w(p) = 0. What is p?\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*k = -125 - 55. Suppose 0*n = -k*n + 2880. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 0*g**3 + 0 - 2*g - g**2 + 3 + g**3. Let o be t(2). Suppose 1 = 2*l - o. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -828*t + 350921 - 350921 to g*t + j and give g.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.667014 less than 0.99?\nAnswer: 1.657014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 5*s**2 - 9*s - 2. Let h(t) = t**3 - 4*t**2 - 16*t + 17. Let p be h(6). Let o(v) = -3*v**2 + 5*v + 1. Calculate p*o(w) - 4*f(w).\nAnswer: w**2 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 100069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2711598.\nAnswer: 2, 3, 451933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -250 - -255. Solve -s - i + 2 = -2*o, 5*s = 5*o - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.987 to two decimal places.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*o*p**3 + 14843576*o*p*s**2 - 7*p**3*s - 5*p**2*s**2 - 135553*p*s**2 + 2*s**2 with respect to o.\nAnswer: -6*p**3 + 14843576*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/45*15\/12)\/((-1)\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -673, -1083, -1777, -2749, -3993, -5503?\nAnswer: -7273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 4*m + 3*m)*(0 - 2*m**4 + 0) + m**5 + 0*m**5 - 2*m**5 - 5*m**2 + 4*m**5 + 5*m**2 + m**5 + 3*m**5 - 2*m**5.\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 339*h - 7. Let w(q) = -169*q + 3. What is 2*v(l) + 5*w(l)?\nAnswer: -167*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 142\/2111 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8511382 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7.348139 kilograms?\nAnswer: 7348139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*q**3 + 56*q**2 - 62*q - 116 = 0. What is q?\nAnswer: -29, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*k + 5*k + 6*k - 38*k + 11*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 d when two letters picked without replacement from yyyyyydddddyyddydddd?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-8))\/(52\/(-416))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 78.8*0.2\nAnswer: 15.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -222*l**3*z**2 - 98*l**3*z + l*z**3 - 3*z wrt z.\nAnswer: -444*l**3 + 6*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 10.8.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4 + 9*p**3 + 21*p**2 + 19*p + 6.\nAnswer: (p + 1)**3*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/31779 and -76\/74547?\nAnswer: 7976529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 3, x: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/8)\/(13\/780*535 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000100101101 - 100000000110?\nAnswer: 1100100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = 19*q + 100 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23401 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b - 3. Let q be a(3). Let k be 6*(6\/4)\/q. Suppose -k - 5 = -2*l. Solve i - 3*i = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 1\/334, -3, 201, 2, 2\/9, -2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m + 2. Let v be r(-4). What is the smallest value in 0.3, -0.6, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3063963, -3063925, -3063841, -3063687, -3063439, -3063073, -3062565?\nAnswer: -3061891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u + 1. Let t(y) be the first derivative of y + 9. Let s(a) = o(a) - t(a). Give s(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.01, 3\/8, 5, -3.5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(0 - -2)*2\/(-4). Factor 1\/4*p**4 + 0 + 0*p + n*p**3 + 1\/4*p**2.\nAnswer: p**2*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -281 + 4*q**2 + 281. Let f(b) = -5*b**2. Calculate g(f(z)).\nAnswer: 100*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 18\/2 + (-1 - -2). Let l = 3 + 4. Suppose -l = -5*h - a + 8, 0 = h - 4*a - 3. Solve -i - s = -h*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 6\/31021  (b) 2\/9  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1.946, 0.5, 3, 0.06, -2?\nAnswer: -1.946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 108239 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1703.166 minutes?\nAnswer: 102189.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3512, 7069, 10626, 14183, 17740, 21297?\n\"Answer: 3557*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**3 + p**2 - p. Suppose -f = -5*k + 3238, -102 = -4*k - 4*f + 2498. Let g(n) = n**2 - 648 + k. What is 2*g(b) - 2*z(b)?\nAnswer: -4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (30\/240)\/(2\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.2 + 2.8. Let s(f) = -f + 1. Let m = -1 + 1. Let t be s(m). Is t greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f - 24 = b, -5*b + 16*f - 18*f - 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -83 (base 10) to base 12.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 32 = -3*a, 0*a + 32 = m + 2*a. Suppose -2*u = -2*n + 12, u + 6 + m = 5*n. Let z be (-1)\/(-2) - 4\/n. Solve z = -l - 4 + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2400287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -6344, -16946, -4 in descending order.\nAnswer: -4, -6344, -16946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 77 times 8\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -117 - -119. Put t, 13, -2 in descending order.\nAnswer: 13, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11745734 or 82220148\/7?\nAnswer: 11745734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*t = -1004, -5*y - 5*t + 3628 = -1367. What is y rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 0 - t - 3 + 2. Suppose -54 = a - 57, -36 = -4*n - 4*a. What is v(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 347 minutes after 8:22 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/1*10\/(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69357 is divided by 158?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -35. Suppose -y - 4 = -4*v. What is the greatest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 2, 5, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 3:50 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + (-7 - (-5 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201*y + 138 = -63*y. Suppose 0 = 3*j - j + 2*s, -8 = -5*j - s. Put y, 5, 4, j in decreasing order.\nAnswer: 5, 4, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 308 is divided by 103?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 483005?\nAnswer: 5, 96601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 - (-84)\/(9 + 5). Let o be 1 + -3 + 26\/1. Solve 2*r = -5*i + o, r - 2*r - a = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, t: 1, v: 2}. What is prob of sequence et?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4 - (7 - 3)*(-1)\/(-4). Suppose 0*x = z*a - 3*x - 576, -5*x - 773 = -4*a. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t**2 - 5. Let w(g) = -4*g**2 + 8. Suppose -7*r + 4 = -3*r, -3*r - 12 = -3*d. What is d*w(l) + 8*q(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 + -90 - (4 + -21).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 665108648 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + 4*q + 2. Let x be f(0). Suppose 0 = 3*m - 5*c + 35, x*m - 45 = 7*m + 5*c. List the prime factors of (-526)\/(-18) + -1 + m\/45.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 3*y**2 + 0 - 1 + 11*y**3 + 405*y - 404*y. Let m(a) = 33*a**3 + 8*a**2 + 3*a - 3. Let s(z) = 6*m(z) - 17*x(z). Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 + 1473.\nAnswer: 1473.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:05 PM and 9:58 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*c**3 - c**3 + 5*c**3)*(-4*c + 3*c + 3*c) + (-3*c + 3*c + 2*c)*(-6*c + 6*c + 3*c**3) to l*c**4 + i*c**2 + g*c + d + u*c**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1813684, -1813651, -1813618, -1813585?\nAnswer: -1813552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -337 from -2.\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*f + 2648515 = 7140727 + 16322988. What is f rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c + 4*c - 6*c + (3*c - 5*c + c)*(3 - 3 - 2))*(-31*c**3 + 86*c**3 + 277*c**3).\nAnswer: 332*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -3*x. Let l(o) be the second derivative of -o**3 - 3*o. Give t(l(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1088526, 2177059, 3265600, 4354155, 5442730?\nAnswer: 6531331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 71\/6, 524.8?\nAnswer: 71\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8*x = 0, -3*x = 2*f - 6. Suppose -3*a - 419 = -3*j + j, 420 = -f*a + 3*j. Let t = -93 - a. Is 23 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*q**2*u + q**2*v + 6242*q**2 + 11*q - 90*u*v - 1 wrt q.\nAnswer: -10*u + 2*v + 12484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n - 3*n + 3*n)*((1 + 5 - 4)*(n - 3*n + n) + 5*n + 5*n + 5*n).\nAnswer: 13*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46646220*u**2 - 41*u**3 + 46646220*u**2 + u**3.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 69513 and 51272?\nAnswer: 7229352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -7*s. Suppose 2*c - 18 = -4*f - 0*c, 10 = 3*f - 2*c. Let k(b) = -6*b + 1. What is f*y(v) - 5*k(v)?\nAnswer: 2*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(15*(-36)\/24840)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6 + -70798b?\nAnswer: -707985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 3*z**2 + 4*z - 3. Let j be (1\/3)\/((-2)\/(-24)). Let g be s(j). What is the remainder when ((-38)\/(-6))\/(g\/(-9)) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of i**7\/42 + 109*i**6\/120 + 353*i**3\/2 + 219*i**2 + 2*i. Differentiate d(q) wrt q.\nAnswer: 20*q**3 + 327*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, 1, -2242, 328.6, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37475, 37771, 38067?\nAnswer: 38363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -2. Let s = b - -6. What are the prime factors of 53\/5 - s\/(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 3*z**2 - 2*z - 1. Let o = 18 - 21. Give p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 7*v + 12. Let a = v + 4. Let m be (2\/18)\/(2\/4). What is the second smallest value in a, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1270*f**2*t - 6139*f*t wrt f?\nAnswer: 2540*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/36 + (-17)\/(-6). Suppose 0*r + 4*r - 2 = -2*u, -3*u = -2*r - v. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 512.7665ml to litres.\nAnswer: 0.5127665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2908 and -4838.\nAnswer: -14068904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4\/7  (b) -3  (c) -1  (d) 6  (e) 54\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of -9*p**2\/2 + 2*p - 33. What is the remainder when v(-3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 20 + 2 = 0. Suppose u - 4*f = -6, -4*u - o*f + 4*f - 24 = 0. Let v(z) = z. Let x(c) = 7*c. Suppose -2*b + 6*b - 4 = 0. Calculate b*x(g) + u*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-5) - (-90)\/25. Solve 0 = 25*c - 27*c + l for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 0.6121504km?\nAnswer: 61215.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107785, -107743, -107669, -107557, -107401, -107195?\nAnswer: -106933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1028 or -1041?\nAnswer: -1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the first derivative of -2\/3*m**3 + 0*m**2 + 1 + 1\/4*m**4 + 0*m. Determine b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 556301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 10) in base 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (484 - 508) + 119 + -3 + 7 + 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -1308*l - 606. Does 6 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of -i**6\/60 + i**5\/30 + 2*i**4\/3 + 3*i**3\/2 + 17*i**2. Is 7 a factor of o(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 29 - 56. Let r = -60 - v. Let y = -31 - r. Which is the second smallest value?  (a) 3  (b) -1\/2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -44, -251, -610, -1127, -1808, -2659, -3686?\n\"Answer: -n**3 - 70*n**2 + 10*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 829 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14.48 + -20.6. Let o = m + 0.12. Let a = -5.6 - o. What is the second smallest value in -0.4, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:23 PM and 11:04 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 11. Suppose -3*w - 3 = 0, 0 = -n - 2*w + 3 - 2. Sort n, 5, x in descending order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*o - 10*o + 31719994 = u, -u + 31720010 = 5*o. Round u to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4*(-8)\/12)\/(14\/105). What is the common denominator of 61\/36 and 2\/f*1370\/(-24)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5*(34\/10 + -3). Let n(x) = 3*x**2 - 2*x. What are the prime factors of n(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -89915407*j - 118521158 with respect to j.\nAnswer: -89915407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -2*m**2. Let q = 32 + -30. Let i(g) = 16*g - 27*g - 17*g**q + 11*g. Determine i(b(h)).\nAnswer: -68*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13144*r - 570576 = 559808 for r.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3345 divided by 669\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 26 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 20\/(-70) - 37\/(-7). Let v be (-3)\/i - (-3386)\/10. Suppose -2*t + 4*t = v. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s**(6\/5))\/(s**18\/s*s*s))**(-21) assuming s is positive.\nAnswer: s**(1659\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**3 + 3*r**2 + 5*r + 5. Let t be j(-2). Let u(c) = 2*c**3 - 2*c - 1. What is u(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1585038, 3170137, 4755294, 6340509, 7925782, 9511113, 11096502?\n\"Answer: 29*k**2 + 1585012*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 81011?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -1, -5, 79, -4.\nAnswer: -5, -4, -1, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 18401 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 59 - 20. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1534 divided by 3\nAnswer: -1534\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -2*j + 16, 4*j - o = j + 8. Suppose 0 = -j*r - 19733530 + 743098. Let i = -2852392 + r. What is i rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -204 - -204.1. Let m be (-4)\/(-8) + 3\/(-22). What is the nearest to p in 4, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 724170 to the nearest 1000.\nAnswer: 724000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300954807?\nAnswer: 3, 43, 777661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.18, 63367, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 137739916?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 AM and 9:07 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -3*d + 6 + 7, 5 = -r. Put d, 8, -2 in decreasing order.\nAnswer: 8, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8*((-38 + 214)\/16 - (0 - 1 - -5))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -5*r - 8. What is the smallest common multiple of 33\/4 + 7\/(-28) and f(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12530539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -1\/15*s**3 - 7\/100*s**5 + 0*s**2 - 2*s - 3\/20*s**4 + 0. Factor f(p).\nAnswer: -p*(p + 1)*(7*p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*f**3*g**2 - 98*f**3 + 2*f*g + 3911*g**2 wrt f?\nAnswer: -9*f**2*g**2 - 294*f**2 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tu when two letters picked without replacement from {w: 4, u: 1, t: 4, b: 5, j: 5}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + 976\/(-160))*2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -65*d**4\/4 + 8663*d**3\/2 - 1087369*d**2\/4 - 2271049*d = 0.\nAnswer: -484\/65, 0, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1 - -69 - (-1 - 1). Suppose -68*w + m*w - 136 = 0. What is the highest common factor of w and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -6*m + 5. Let k(w) = w**2 - 6*w + 10. Let t be k(m). Suppose 0 = -4*v + 3*y + 437, 3*v - y - 109 = t*v. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 47025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -s + 1. Suppose 14 + 22 = 2*j. Suppose -2*q + j = -6. What is the highest common factor of s and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 578 = 4*l - 4*a + 570, 4*l + 1 = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11459518 to the nearest integer?\nAnswer: 3385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 24 + 380 = 5*k, 0 = -2*w + 6. Suppose k = g + 4*g. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 4. Let u be k\/(((-16)\/(-6))\/(-4)). Suppose -u*s + 9 = -3. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -57 by -516.\nAnswer: 19\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 74\/81 and -7\/414.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2793, 11172, 25137, 44688, 69825, 100548, 136857?\n\"Answer: 2793*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-5 + (sqrt(72) - (sqrt(72) + 0)))**2 - (-1 + sqrt(72)*-2))*-1.\nAnswer: 48*sqrt(2) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-66)\/8)\/3*-44. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.986 - 3.186. Which is the biggest value?  (a) -331  (b) r  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3072149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 264 = 4*q + 64. Calculate the remainder when q is divided by (7 - 5)*11\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 16872 - -11131?\nAnswer: 28113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9*a = -2*g - 15, 0 = 5*a + 15. Suppose -3*l + 136126 + 727874 = -2*u, -5*l + 1440000 = -3*u. Suppose g*f = 2*f + l. Round f to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5475 + 5483. Let n = 61 + -38. Solve 5*i - g + n = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 8*j. Let c(r) = 14*r**2 - 13*r. Calculate l(c(t)).\nAnswer: 112*t**2 - 104*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 + -10. Let g(w) = 0*w - f - 2*w**2 - 2*w + 2*w. Suppose 0 = p - 0*p + 2. What is g(p)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y + 0*y - y)*(-8*y**2 - 12 + 12)*(7*y - 7*y + 3567*y**2 + 769*y**2).\nAnswer: 34688*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1120995640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.5  (b) -2.9  (c) 0.3  (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*p*v**4 + p*v**3 + 2*p*v - 4*v**4 - 612*v**2 wrt v?\nAnswer: 96*p*v + 6*p - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 3509 divide 2248590900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -4470, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 710*h - 12976 = -25046 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -y**3 - y**3 - 36*y**3 - 6*y**3 + 50*y**3.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 535 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11810500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8307 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28.8 - -120.6. Let p = b - 89. Which is bigger: -2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 8. Let q be ((-1)\/3 - f)*-3. What is the smallest value in q, -1\/5, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-4 - 2 - 0) - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 142*u - 3*t = 135, 10 = u + 3*t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -130525*a**3*c*s**3 + 111*a**3*c*s**2 + a**3*c*s + 5*a**3 - 2*a**2*c*s**2 - 4*a**2*c*s + 8*a*c*s**3 - 6*c*s**2 wrt s?\nAnswer: -783150*a**3*c + 48*a*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 180899?\nAnswer: 19, 9521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2)*(1 - 3 - 6)*(-2*d**2 - d**3 + 2*d**2) + (-d + d - d**2)*(-79*d + 31*d + 373*d) to the form f*d**3 + g*d**2 + k*d + m and give f.\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**2 - 3*l + 3*l + (9 - 8*l - 9)*(-2*l + 7*l - l) - l**2 + 12 - 12 as j + x*l + u*l**2 and give u.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -89 + 122. Suppose -159*o - 17 + v*o**2 - 4 - 9 = 0. Calculate o.\nAnswer: -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (72 + -192)*4\/(-129). Let u = m - 41077\/11051. Are u and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-10 - 0) + 7 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 43*o**2 - 9*o + 8. Does 6 divide h(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a5b29 - 97?\nAnswer: a5a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + sqrt(117) + -1 + sqrt(117)*1 + 3 + sqrt(117) + -3)**2.\nAnswer: 360*sqrt(13) + 5345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 688.9898 kilometers to centimeters.\nAnswer: 68898980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 14) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/(q*q\/(q\/q**(2\/5)*q)*q)))**(-1\/9)*(q*q*q**(-1\/12)*q)\/(q*q\/(q\/((q*q*q**(12\/11)\/q*q)\/q*q)*q)*q))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4329 + 26077\/6. What is the common denominator of z and -4\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*y - 56 - 344 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 336 and 2853264?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12528 and 130896?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (-62)\/120*-2. Suppose 3*z + 5*u = 7, -5*z + 1 = -12*u + 15*u. Is x greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2114106725 - -2114107003.1041023. Let b = 252.104103 - f. Let p = -26 - b. What is p rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t**(-1)*t)\/t)**(-2\/41))**(4\/11))**(-32) assuming t is positive.\nAnswer: t**(-256\/451)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-273)\/(-9))*-28*32\/(-384)\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2148140 to the power of 1\/2, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 63*g**2 - 70*g - 343. Is d(69) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/8 + 245\/(-294)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 14) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 3*(-18)\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -135*l + 1 - 1 + 145*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -58128 - 6050.\nAnswer: -64178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9599\/12 - (-45)\/540 is divided by 138.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 4*u - 8. Let b be f(2). Suppose b = -4*k - 35 + 55. Solve 7 = s + g, -k*g - 3 = -3*s + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*a - 36*a - 43*a + (-a + 2*a + 0*a)*(3 - 6 + 0) + (1 - 4 + 4)*(-3*a - 3*a + 2*a).\nAnswer: -92*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 114 - 113.99999441. Round b to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 17*k - 235. Let g be d(14). Suppose -2*m + 0 = 40. Let v = m + 33. Solve 4*j = 5*i - 16, -2*i + g*j = 2*i - v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes after 9:57 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1954*k = 1520*k + 7812 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + u - 31 = 4*q, 3*q = -2*u - 15. Let g(n) = 2*n**2 + 5*n + 4. Is g(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -17405170 (base 8) to base 5\nAnswer: -2020102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -928, -970, -1042, -1144?\n\"Answer: -15*m**2 + 3*m - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -3182\/3, 1\/4, -0.112, -1\/2, 2\/7?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4479 + -3634. What is the remainder when p is divided by 38?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 108955559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 8:43 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -2*t**4 - 172*t**3 - 3698*t**2 = 0.\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -329.334184 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -4*i + 5*q + 6, 5*q - 18 = -3*i. Does 6 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.884088 millennia?\nAnswer: 884.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 66 (base 14) in base 8?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/16 of a kilometer in centimeters?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -3*m**4\/8 - 2*m**3\/3 - 4*m**2. Is s(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30512 and 224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/(30\/88)*(7245\/10)\/21. Solve q*x = 514*x + 16 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**5 + 56*c**2 + 5*c**5 - 9*c**5 - c**5 - c**5 + 9*c**5 - 3*c**5 + c**5 + c**5 - 5*c**5 + 5*c**5 + c**5 + (1 - 2*c**5 - 1)*(-2 + 6 - 2).\nAnswer: 2*c**5 + 56*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 - 30*t + 1660. Determine f(-57).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q - q = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7232, -7227, -7220, -7211, -7200?\nAnswer: -7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8077795 divided by 734345.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6825 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, j: 4, w: 6, i: 4, d: 1}. What is prob of picking 1 d, 1 n, and 2 i?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the third derivative of -j**5\/60 + 5*j**4\/6 - 182*j**2 + 2. Let a(u) = 5*u. Give a(q(r)).\nAnswer: -5*r**2 + 100*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*l**5 + l**5 + 0*l**5 + (-2*l**5 + 2*l**5 - 2*l**5)*(0 + 2 - 1) + (4*l**2 + 0*l**2 - 2*l**2)*(8*l**3 + 6*l**3 - 3*l**3).\nAnswer: 23*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 35 = 5. Let p(m) = 5*m**2 + 191*m - 365. Let n be p(-40). Put y, n, -1 in ascending order.\nAnswer: y, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 9*d + 19*d to the form s + j*d and give j.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 1 = -w, 3*w = -0*w + 5*p + 39. Suppose 5*g = 2*i - 5*i - 8, -4*g - 2*i = w. Let f(n) = n**3 + 4*n**2 - 2*n + 4. Determine f(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35334 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x + 9. Let y = -92 + 97. Let p be d(y). Solve g + 0*g = p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14917.948427 + -14986.9481. Let f = y + 69. Round f to five dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -7*p**2. Let a(g) be the second derivative of g**4\/3 - g**3\/6 - 619*g. What is a(u(b))?\nAnswer: 196*b**4 + 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*l**2 - 21*l**2 + 305*l - 75*l)*(-1 + 1 + 1 + 6 - 1 - 4 + (-2 + 1 + 3)*(-1 - 1 + 3))*(1 - 2 + 0).\nAnswer: -12*l**2 - 920*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (4 - 7 - -4) + -12 + -3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -292 + 292.00272. What is w rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 - -5)\/((-28)\/210). Let b = 26 + f. What is the second smallest value in 3, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41 = -15*l + 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80*5*(-3081)\/(-130).\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 41626 by 10.\nAnswer: 20813\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3562e (base 16) in base 10?\nAnswer: -218670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 903527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzgggzzz. What is prob of picking 3 z?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 9828280 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 2, -259 in ascending order.\nAnswer: -259, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -150*o + 289. Give s(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 403 = 3*h - 2*s, 2*h - 4*s + 1961 - 2227 = 0. Calculate the remainder when 539 is divided by h.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -10230.\nAnswer: -1\/2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -174*r - 32. What is the tens digit of f(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*v**4 + v**2 + 92 with respect to v.\nAnswer: -20*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14002133 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 317.98 - 318.18. Put 0.2, n, -9.6, -8 in decreasing order.\nAnswer: 0.2, n, -8, -9.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 498*y**2 + 17*y - 57510 wrt y.\nAnswer: 996*y + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/54)\/((32\/40)\/((-42)\/(-35))).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (102\/(-4))\/(6\/(-80)). Let t = p - 73. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 14 - 4. Let o = -6 + q. Let p = -45 - -63. Solve 2 = o*d + 4*y - 14, -5*d - 4*y + p = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2289216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -40.42 + 0.02. Let o = 22.4 + r. Which is the nearest to -1?  (a) 1  (b) 0.5  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the first derivative of -2*g**4 + 3*g**2\/2 - 28*g - 38. Find the first derivative of o(c) wrt c.\nAnswer: -24*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 25 + -20. Which is smaller: 25\/6 or y?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l - 110. Let r be 1\/3*(2 - 2)\/(840\/168). Calculate a(r).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36951 is divided by 247?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = 146*b + 9956 + 4000 - 2490 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = 2*x + 20671. Let a = 1054222\/357 - x. Let v = a + 152\/357. Which is smaller: v or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 4928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 - 2. Let g be s(0). Let y(q) = -5*q - 4*q**3 - 4 + 56914*q**2 - 56919*q**2 + 4. What is the remainder when y(g) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7807.\nAnswer: 37, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 19951170 rounded to the nearest 100000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 161990734 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -5. Let c(m) = 2*m + 9. Let u be c(t). What is the closest to u in -0.2, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 6*m**2 + 6*m + 7. Determine k(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15.96 + -16.3. Let t = -61103.89 + 61104.2299893. Let n = q + t. What is n rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 134*u - 3482. What is the remainder when 144 is divided by b(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and -25.33281.\nAnswer: -25.33281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*w**3 - 57*w**2 + 48*w + 60.\nAnswer: 3*(w - 5)*(w - 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33 - -27) + 6 + -15 + -1 + 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-24) + 113295\/(-5976).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 187*i*p**3 + 6*p**3 - 12*p**2 with respect to i.\nAnswer: 187*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.1784  (b) -0.5  (c) -1  (d) 2\/5  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 6\/407165?\nAnswer: 6\/407165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 plus -0.01?\nAnswer: -22.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**2 + 8*o - 10. Let s be h(5). Suppose 0 = l - 3 + 12. Let q be ((-16)\/12)\/(2\/l). Solve -s*a = -u + 18, -q*a - 3 = -a + 4*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i*i**(4\/7))\/i)**(-13\/6) assuming i is positive.\nAnswer: i**(-143\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*m - 630 = -22*m. What is the greatest common divisor of 144 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7313 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = g + 36. Suppose 5*y = -v - 0*v - 12, 0 = -4*v + 2*y + g. Is 1 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {q: 4, y: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-3) + (1 - (-40)\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -444435 or -444439?\nAnswer: -444435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -a**9\/3780 + a**7\/210 - a**6\/90 - 11*a**4\/12 - 4*a. Let f(x) be the third derivative of d(x). Determine j so that f(j) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*x + 178 = -2*l, -4*x - 266055 = -2*l - 266009 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -52\/3*o**3 - 31*o - 19\/2*o**2 + 0. Differentiate l(z) wrt z.\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 14\/35 - (-1632)\/20. Solve -103*w = -l*w + 126 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 148 and 1739?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of -17*u**6\/2 + 107*u**2\/2 - 2*u - 5. Find the second derivative of q(b) wrt b.\nAnswer: -1020*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o - 35 = -o. Suppose -5 = -r + 5. Calculate the remainder when ((-152)\/10)\/(2\/o) is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -t**2 + 12*t + 11. Determine c(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5286534?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-30)\/(-50)*(2 + (-32)\/12). What is the nearest to m in -4, 1\/6, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446506 divided by 2?\nAnswer: 223253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.08 and 85.2089.\nAnswer: 85.2889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-2)*12\/(-30). Let j = l + 33\/20. Let w = 1\/16 - -89\/112. What is the nearest to j in -1\/7, 4, w?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**3 + 27*x**2 - 10*x + 5. Let r(n) = 4*n**3 - 28*n**2 + 11*n - 5. Let u(b) = 3*r(b) + 2*z(b). List the prime factors of u(15).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.298 * -6.\nAnswer: 1.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 6:59 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) -505  (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -17. Find the third derivative of 2*j**o + 0*j**4 - 6*j**4 - j**3 + j**3 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-70))\/(139040\/24332)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.132 * -1\nAnswer: -0.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + 8. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 105 + -56. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 90, 111.8, -4, -3.\nAnswer: -4, -3, 90, 111.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 7*h**5 + 2*h**4 + h**3 - 6*h - 6. Let k(z) = 8*z**5 + 2*z**4 + z**3 - 7*z - 7. Let o(u) = -6*k(u) + 7*p(u). Factor o(m).\nAnswer: m**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 1. Suppose -v = x*v - 39. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 k when four letters picked without replacement from {k: 3, i: 3, m: 8, g: 1, n: 3}?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of 2*t**3\/3 + 2*t**2 - 2*t. Calculate q(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1312 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48327 and 2670?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = k - 1. Suppose 2*v = -0*v - k. Let b = v + 3. Solve a - 19 = 5*f, -3*f - 21 = a + b*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 504 and 648.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -17*x**2 + 52*x - 16. Let o(n) = 3*n**2 - 10*n + 3. Let r(h) = -2*c(h) - 11*o(h). Let u = -12 - -7. Give r(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in 5, -1\/7, -0.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-33)\/(-22))\/(2\/12). Suppose -y - c = -s - 40, -3*y - 4*c + 150 = 0. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -629*m - 142. Calculate g(1).\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 214 + (-1)\/1*0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 + -27. Let y be ((-81)\/j - 4)*2. What is the second smallest value in 1, -1\/5, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1313404318 less than -1313404318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 8 = -6*x. Let t = -13 + 41\/3. Determine c, given that t*c + 0 - 8\/3*c**x = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 - ((-72 - -121) + -93).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 298, 1\/5, 0.5, -0.009?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 3*z - 7 = 0, -3*u + 2*z = -0*z + 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - 58 - (17 - (15 - -11))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6.443*-19.883.\nAnswer: 128.106169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57055, 114810, 172557, 230290, 288003?\nAnswer: 345690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 - 12*y - 20. Let x be d(-6). Let g = 32 + x. What is the remainder when 71 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99019.\nAnswer: 83, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is (-24)\/(-56)*(-145978483)\/(-159) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3a0 - -1212?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 1, -102, -590, 1\/5, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 33  (b) 0.4  (c) -1.1634  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2081*w**2 + 7*w + 20. Let g(z) = 1044*z**2 - 3*z - 9. Determine 5*g(t) + 2*o(t).\nAnswer: 1058*t**2 - t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 3*s + 22. Let o(k) = 3*k + 21. Let z(r) = 7*f(r) - 6*o(r). Let d be z(-8). Suppose 0 = d*l - 4*p - 128, -2*p + 81 = l + 2*l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 5 + 2)*(-17*b + 17*b - 25*b)*(0*b**2 - b**2 + 3*b**2) as m*b**3 + y + z*b + p*b**2 and give m.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**3 + 2*p**2 - 18*p - 11. Let m be s(-5). Is -9 at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, 412, 4, 2\/13, 0, 3\/7 in increasing order.\nAnswer: -0.2, 0, 2\/13, 3\/7, 4, 412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 10) to base 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 48*n - 36. Let h(f) = 17*f - 2. Calculate -a(c) + 16*h(c).\nAnswer: 224*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -60\/1617343?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -l + 331798, 3*l + 59 = 53. Round z to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122505 is divided by 1678?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-22 + -11 + 24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -7*m - 17. Let j be b(-3). Let u(s) = -13*s - 20. Let x be u(j). Let a be 0\/(2\/11 - x\/(-33)). Solve 0 = 2*p + 4*l - 2 - 4, a = 4*p + 5*l - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 2:19 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 0.767654m?\nAnswer: 0.000767654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 152 by 152.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 + 21. Calculate the common denominator of 1\/n + (-291)\/28 and 29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7797 rounded to the nearest 100?\nAnswer: 7800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 5*f - 5 = 7*n, -n - 2 = -f. Let y be 2\/n + (-54)\/(-10). What is the units digit of (y\/3)\/(2\/12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 31\/(-930)*(2\/(-1) + -1). Let r(q) be the second derivative of 2*q**2 + 0 + 0*q**4 + j*q**5 - q**3 + 8*q. Determine y, given that r(y) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -v**5\/5 + 5*v**4 - 201*v**3\/5 + 643*v**2\/5 - 778*v\/5 + 312\/5 = 0.\nAnswer: 1, 4, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - -12 - (1 - -4) - (-4 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that f**5\/6 - 11*f**4\/6 + 10*f**3\/3 + 40*f**2\/3 - 16*f - 24 = 0.\nAnswer: -2, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38.9 + 37. Let y = 17.1 - d. Let f = -1855 - -1854.8. Does f = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 206 divided by -8030.\nAnswer: -103\/4015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 122 - 52. Suppose 4*m + 113 = 5*f, 5*m - 74 = -2*f - 2*f. What is the remainder when g is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 - -0.567121.\nAnswer: 0.367121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-42)*4\/8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 5*z - 16 = -0*z, 0 = -5*z. Let i be 45\/(-18)*q\/(-10). Suppose i*v + v - 655 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -164009848163?\nAnswer: -164009848154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -42, -27, 4, 57, 138?\n\"Answer: b**3 + 2*b**2 + 2*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000106353 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 170, 318, 456, 578, 678, 750?\nAnswer: 788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10\/25)\/((-1)\/5). Is 1599\/27 - t\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 1684.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2bb94508 + -9?\nAnswer: -2bb94514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/83?  (a) -1\/6  (b) 2  (c) -2  (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 450 and 198?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 47  (b) 7  (c) -3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**3 - 6*l**2 + 8*l + 3. Let x be z(-8). Let c = x - 60. Solve -20 = 3*d - c*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-81)\/(-378)*20\/(-3). Let k be (136\/2)\/((-105)\/(-2)). Let p = f + k. Are p and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/5))**(19\/5))**(-12\/19) assuming h is positive.\nAnswer: h**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 4, 5, -287, 1 in increasing order.\nAnswer: -287, -4, -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2256.8416 + 23?\nAnswer: -2233.8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 76\/9 and -53\/2807.\nAnswer: 25263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 8*n**4 - 26*n**3 + 12*n + 20. Let p(m) = -5*m**3 + 4*m - 23 - 4*m**3 + 3*m**4 + 30. Let t(d) = -5*g(d) + 14*p(d). Determine z so that t(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 97.8 and -7.9.\nAnswer: -772.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 11 = -1. Suppose 0 = -l + f*l + 58. Let a = -30 - l. What is the nearest to a in 3\/5, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 33868865 to the nearest integer?\nAnswer: 5820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -125*19\/(-1330)*14?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 + (-8 - -2) + -3 - 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (76 - (59 - 1)) + -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21212002200021 - -2?\nAnswer: 21212002200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 64*c**2 + 3125*c + 68. Determine w(-49).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = 5*p - 30, 8*p = -5*l + 12*p - 45 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k. Let a(s) = -81704*s. Calculate h(a(t)).\nAnswer: 81704*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:37 AM and 7:54 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -882, -1764, -2646?\n\"Answer: -882*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -2. Suppose -r - 9 = -2*a. Suppose 8*s = -0*s + 24. What is the second biggest value in s, -0.4, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -252*w - 5262 + 1230 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -2 + 1 + 2*a + 2*a - 3*a. Let d(v) = v**3 + 2*v**2 - 1. Let p(g) = d(g) - 2*n(g). Let f be p(-2). Solve 4*t = f*o + 4, -o + 6*o = 2*t - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -954, -949, -944, -939?\nAnswer: -934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = r + 141*p - 145*p, 0 = 3*r + 3*p - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 12) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1006 (base 7) to base 11\nAnswer: -298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -128*f - 4*f**3 - 3*f**3 + 129*f + (-f**2 + 2*f - 2*f)*(2*f - f + 0*f).\nAnswer: -8*f**3 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 2483721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 160 in -663, -0.2, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.5, -1\/6, -184, -1\/12, -0.3, 20?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 65*m*o**3 + 95*m*o - 3*m*s**2 + 6*o**4*s**2 + o*s**2 - 3*s**2 wrt o.\nAnswer: 390*m*o + 72*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 5 + (2 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (7 - (4 - (-14 - -6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -2\/13  (b) -8  (c) -5  (d) 83  (e) 236.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 4:21 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.04211, 1, 0 in decreasing order.\nAnswer: 1, 0, -0.04211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -2, 0.2, 17, -1\/6 in ascending order.\nAnswer: -2, -2\/7, -1\/6, 0.2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 10*k**2 - 10*k + 10. Suppose 2*q + 32 = 4*j - 0*q, -4*j = 4*q - 44. Let v be g(j). Let y(a) = 14*a**3 - 2*a + 1. Calculate y(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 781 + -621. Is 20 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 1413?\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 279 a factor of 208974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*k = -19*k - 2*t - 692, 3*t = 4*k - 696. Calculate the remainder when k is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2091908 divided by 2.\nAnswer: -1045954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 1)*(-2*g - g + 4*g) + (0 + 1 + 0)*(-g - g + 3*g)*(-3 + 6 + 0).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -67*d + 768*d**4 - 1533*d**4 + 767*d**4 - 2*d**2 - 2 to the form v*d**3 + y*d + w*d**2 + o + b*d**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 19 in -3, 6, 0.2, 2\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-2\/9)*o**(-8\/5) assuming o is positive.\nAnswer: o**(-82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/10 - 3264\/(-320) - 7. Solve 5*z - r*z - 6 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**3 + 30*l**2 - 27*l - 58. Let r be b(29). Sort 7, 12, r in decreasing order.\nAnswer: 12, 7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l = -4*w + 1, 0 = -5*l + 2*l + 5*w - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2448 divided by -10.\nAnswer: -1224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from tgtg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 896, 0, -493 in descending order.\nAnswer: 896, 0, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21860200.\nAnswer: 2, 5, 29, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 4) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(78)\/(sqrt(6) + sqrt(48)\/sqrt(8)))**2 - (4 + sqrt(39)\/sqrt(3))) + 2.\nAnswer: -sqrt(13) + 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1187 + -317. Let r(i) = z*i - 437*i - 2 - 436*i. Calculate r(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 707420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 50\/1246039 and -13\/95.\nAnswer: 6230195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w - 2 + 0 - w)*(-9*w**2 - 6*w**2 - 4*w**2).\nAnswer: 19*w**3 + 38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2185796*y**3 + 11733910*y**3 + 11209767*y**3.\nAnswer: 25129473*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 186*h**2 + 2*h**3 - 56*h**2 + 9810 - 64*h**2 - 62*h**2 + 62*h - 7*h wrt h.\nAnswer: 6*h**2 + 8*h + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s. Let y(i) = 9 - 20 - 7 + 6*i + 19. What is 22*m(n) + 4*y(n)?\nAnswer: 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 165779015 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 - 5 - (6 - (98\/7 + -3)). Which is bigger: 98 or t?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-168)\/(-56))\/(((-25)\/15)\/5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 9}. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 469, 187, -7 in descending order.\nAnswer: 469, 187, 5, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 6 + i + 6 + i**3 - 26 + 13. Let p(x) = -3*x**3 - x + 2. Determine -4*p(a) - 10*w(a).\nAnswer: 2*a**3 - 6*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 11784 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 30 = -5*o, -3*o + 27 = 2*o - 4*y. What is the third derivative of -o*k**2 + 10*k**5 + 18*k - 18*k wrt k?\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5062 - -10323. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + 2\/3*3. Let k = 2 + z. Let w be 1*1*(k - -1). Sort 2, w, -4 in ascending order.\nAnswer: -4, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7 + -10. Let g = 1\/105 - 64\/105. Which is the closest to 1\/4?  (a) g  (b) -1\/7  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 20976 and 26496.\nAnswer: 503424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -3\/10*p**5 - 9\/8*p**4 + 0*p**2 + 51 - p**3 + 0*p. Factor h(b).\nAnswer: -3*b**2*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(1\/2)*b\/((b*b**4)\/b))**(-25\/2))**(11\/5) assuming b is positive.\nAnswer: b**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17\/970 or 0.802?\nAnswer: 0.802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (19 - 16)\/(-2 - (-11)\/4). Solve -2*i = -f*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 414, 1728, 3918, 6984, 10926?\n\"Answer: 438*o**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the first derivative of -8549*u**2\/2 - u + 3. Let b be d(1). Let j = 170933\/20 + b. What is the common denominator of 139\/6 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 11 = 1. Let n = 37 - i. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(143)*-2 + sqrt(143))*-5)\/((sqrt(1584)*2 + sqrt(1584))*4).\nAnswer: -25*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 5*u - 31. Let c be m(10). Let d(z) = -z**3 + 19*z**2 + 3*z - 57. Let i be d(c). Let b = -5 - -8. Solve -b*j + 4*j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of v**4\/12 + v**3\/2 - 42*v**2. Let r be (1 + -4)*-1*1. Determine f(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -113*g**3*o*y - 56*g**3 + 935*g**2*y**2 - 2*g**2*y - 2*g*y**3 + 3138*o*y**3 wrt o?\nAnswer: -113*g**3*y + 3138*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -3*h**3 + 156*h**2 - 1221*h + 2580 = 0.\nAnswer: 4, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1783*-1.\nAnswer: -1783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 28696 and 91996.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k**3 + 4*k**2 - 2*k. Let r be z(2). Let m be 6\/((-10)\/r + -1). Let y = 1.5 - -0.5. Which is the nearest to -0.1?  (a) m  (b) -5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the third derivative of -11*x**6\/40 - 7*x**5\/60 + x**4\/24 + x**3\/3 - 30*x**2. Let t be j(3). Let l = 2336 + t. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/(-20))\/2)\/((-52)\/(-364))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -260 - -264. Suppose -1 = -24*m + 23*m - 5*g, 28 = o*m - 4*g. What is the remainder when 36 is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from {m: 3, v: 14}.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -128?  (a) 3\/5  (b) -4  (c) -7\/23  (d) -3  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/12 and -59\/1309000.\nAnswer: 3927000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) -0.3  (b) -9  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -18 - 6 - (179 - 144).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 + -3 + -72 + 45 + 33.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 198854 = -20461. Suppose -4*m = z + 14895. Round m to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 45*d - 6 - 42*d - 5. Let y be c(0). Let x(o) = o**3 + 11*o**2 + o + 1. Let b be x(y). Do -9 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 0 = 12, l + 4*g - 41 = 0. Suppose 0 = -3*d + 2*d - a - 21, -58 = 2*d - 2*a. Let n = d + 50. Calculate the highest common divisor of l and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 47 + -135. Let o = -87 - y. Put 41, 2, o in descending order.\nAnswer: 41, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 986.1976 millennia in months?\nAnswer: 11834371.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*16\/(-120) + 168587\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 151 - 27. What is the highest common factor of 2263 and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-15)\/((s\/(s**(-13)\/s))\/s))\/(s**(-9\/2))**(21\/4))**9 assuming s is positive.\nAnswer: s**(-387\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (8\/6)\/(2\/(-6)). Let p be -4*((-5)\/x)\/(-1). Suppose p*w - w = 24. Solve h - w = -2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-28)\/20)\/((-2)\/4). Let o be (1\/(-5))\/((-105 - -94)\/22). Factor -12\/5 + r*s - o*s**2.\nAnswer: -2*(s - 6)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 4 - 4)*(-8 + 0 - 3 + g).\nAnswer: -g + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 3*b = -4. Suppose -g + 7 = b. Let f = 19 - 16. Solve -g = -c + f*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3 - 50423745?\nAnswer: -50423750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 602 at least -1.7139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2101455 and 6304365?\nAnswer: 6304365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence coii when four letters picked without replacement from iococoio?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1970814 is divided by 328450.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2867401*z**3 + 21640*z**2 + 90 wrt z.\nAnswer: 17204406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 43*h - 4927. Calculate u(90).\nAnswer: -1057","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2)\/y)**(-24\/7)*y**6*y*(y**(-1)\/y)\/y*y assuming y is positive.\nAnswer: y**(47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*y**3 - 59842560*y**2 - 593*y + 60346.\nAnswer: 18*y - 119685120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -54 + 36?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(245) - sqrt(245))**2 + sqrt(245) + sqrt(20)\/sqrt(4)*1.\nAnswer: 8*sqrt(5) + 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k. Let z(g) be the third derivative of 4*g**4\/3 - 18*g**2. Give z(y(q)).\nAnswer: -32*q","meta":{"dup_signals":{},"source":"polynomials__compose_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 the nearest to 1\/3 in -1, -11\/6, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2833 not equal to -2852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**3 - 120*u**2 + 1580*u - 13. Determine b(15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, r: 3, m: 2, t: 1, c: 1, e: 3}. Give prob of sequence mh.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456\/(-2394)*(-28)\/12.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304) + -1 + 5*sqrt(19)*2)**2*6.\nAnswer: -168*sqrt(19) + 22350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/2)\/(9\/132)*-3. List the prime factors of (-10)\/(-6) + (-37708)\/n.\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 53, 5, -0.2, -2, -35, 27, 0.08 in ascending order.\nAnswer: -35, -2, -0.2, 0.08, 5, 27, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 3:53 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-193105)\/(-25) - 2) + (-6)\/30. Suppose 0 = -14*l + 3*l + i. List the prime factors of l.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -39\/2266462 and 45\/176.\nAnswer: 18131696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 432\/44 - (-6)\/33. Let z = j + -2. Solve z = x - 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 5. Let d(u) = -8*u - 1. Let v be d(1). Let g be i(v). Let h = 49\/6 + -23\/3. Which is the nearest to h?  (a) g  (b) -0.2  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n + 30. Let l(m) = -3*m - 40. Let a(y) = -3*l(y) - 4*x(y). Let w(f) = 6*f**2. Let q(i) = -i**2. Let k(r) = -5*q(r) - w(r). Calculate k(a(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/(-10))\/(2\/(-10)). Suppose 40 = -5*r - g*f, 2*f + 4 - 2 = 2*r. Let t be 2\/(-4)*(r + 4)\/1. Solve -c + t*c = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -9, 1\/4, -9\/5, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z + 1. Let d(l) = 26*l**2 + 2. Let b(q) = -d(q) + 2*g(q). Let k(u) = u + 4. Let s(o) = 10*o + 48. Let v(j) = -12*k(j) + s(j). Give v(b(n)).\nAnswer: 52*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110110 - 11000101100000111?\nAnswer: -11000101101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 286646 and 452918.\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1409.156 rounded to the nearest integer?\nAnswer: -1409","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a = 5*k + 6, 0 = 4*a + k - 5 - 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 + 8*n + 7. Let b be j(-7). Find q such that 1\/4*q**3 + b*q - 1\/4*q**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -436*q - 2036*q - 135960 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 12:40 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 544407 divided by 57\nAnswer: 9551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 12 - 1565550?\nAnswer: -1565535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 759423 times 0.5\nAnswer: 379711.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 80528 is divided by 11805.\nAnswer: 9698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 - -101. Let p = y - 122. Is (-2)\/p*-7522*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-35 - 41 - 4)*(0*a - 2*a + 1 + 4*a) + 3*a + 0*a - 2*a.\nAnswer: -159*a - 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -81*o + 2961 = 2394 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x**3 + 25*x**2 + 29*x - 99. What is the units digit of h(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -7*k**2 + 2*k + 14. Let s(p) = -6*p**2 + p + 13. Let f(c) = -6*s(c) + 5*w(c). Let q be f(-6). Let b be 3\/(q\/8 + 1) - -10. Solve -n = -5*n - b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1829 = -10*d + 321. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -143 + 89. Let b = m - -193. Calculate the remainder when b is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - w = -2. Let x be -6*(4 + w - 3). Let q = x - 9. What is the biggest value in -0.4, q, -3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence syh when three letters picked without replacement from yosohyysshmymyssyh?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 550 - -1257. What are the prime factors of i?\nAnswer: 13, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 4*i + 1. Let p(s) = -3*s. Let j be (8\/3 - 2)*(-390)\/(-52). Determine j*p(d) + 4*u(d).\nAnswer: d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 AM and 12:42 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 4*j**2\/7 - 45815632*j\/7 + 131192008472464\/7 = 0.\nAnswer: 5726954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -303556.1 take away -1?\nAnswer: -303555.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 - 16*y**2 + 28*y + 5. Let k be r(14). Solve -k = -6*i + 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*w - 350 = 65*w. Let z(d) = 19*d - w*d + 15*d + 19*d. Let o(b) be the second derivative of -19*b**4\/12 - 6*b. Determine z(o(t)).\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of o**3*r**2 + 4*o**3 + 44*o**2*r - 219*o*r**2 wrt r.\nAnswer: 2*o**3 - 438*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1989*f - 1825*f + 2871*f + 370270 for f.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 99\/(-22)*(-1342)\/3. Suppose 239*o - 250*o = -r. Does 43 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2715148 and 1688.\nAnswer: 844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1 = 7. Let m(i) = -5 + 0*i - 9 + 6*i - t*i. What are the prime factors of m(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 38 + (-5250)\/189.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 15 - 3 = 0. Let p be (-20)\/6*((-4)\/28 - (-133)\/(-98)). What is the second biggest value in p, -2\/7, -1\/5, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -154*f - 11230. What is r(-73)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -19*y**2 + y. Let w be k(7). Let n be w\/(-105) + (-1)\/(-5). What is the third derivative of 70*a**3 + 11*a**2 - 29*a**3 - 9*a + n*a wrt a?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -11. Let x = 0.044 + 0.356. Let w = -0.3 + 4.3. Sort x, d, w.\nAnswer: x, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 5*r**2 + 1325*r + 3977. Determine k(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46999048 to the power of 1\/2, to the nearest integer?\nAnswer: 6856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67, 179, 357, 595, 887, 1227, 1609?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (558*i**4 + 30539 - 30539)*(-1 - 2 - 2).\nAnswer: -2790*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b + b)*(-28 + 28 + 16*b) - 2*b + 2*b + 2*b**2 - 393*b + b**2 + 393*b - 2*b + 2*b + 4*b**2 + (2*b + 0*b - b)*(-5*b + b + 3*b).\nAnswer: 54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/2 in -0.2, -0.5, 2\/31, -0.188, 2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 f, and 1 p when three letters picked without replacement from cpcfccp.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*c - 5*c = -54. Suppose 4*b + 4*w - w = 20807, -c*w = -b + 5198. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 2*p. Suppose -d = -p*d. Let n(v) = v**3 + 5*v**2 - 2*v - 7. Let i be n(-5). Solve x + 2*x + 21 = 4*h, 5*x + 4*h + i = d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 5*g - 1165, 7*v = 11*v - 5*g - 931. Calculate the lowest common multiple of v and 30.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, -82, 1\/52 in decreasing order.\nAnswer: 3, 1\/52, -6, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l - l**4 + l - 3*l**4 + 3*l**4 + l**4 + (-2*l + 5*l + 0*l)*(1155*l - 77*l**3 - 1155*l).\nAnswer: -231*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h. Give c(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that m**3\/4 - 4541*m**2\/4 + 60925*m\/2 + 31598 = 0.\nAnswer: -1, 28, 4514","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*g**2 + 0*g + 2528*g**4 - 2530*g**4 + 2*g in the form y*g**4 + p*g**2 + v*g + q*g**3 + a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 30\/4*1002\/(-9). Let y = 1831 + c. Suppose 0 = -4*q - 4*x + y, 6*q + 4*x = 3*q + 742. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 14813, 25238, 35665, 46088, 56501?\nAnswer: 66898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -29*s + 152 + 63*s - 8*s - 25*s as d + p*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3444?  (a) 0.3  (b) 12\/11  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -6 + (2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3926 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8, -15, -30, -53, -84?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*t**2 + 4912*t - 188498 = 0.\nAnswer: 307\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 5*r + 3*p, 2*r - 5*p + 12 = 50. Let i(j) = 6 + 4 - 5 + r*j + j**2. Calculate the remainder when i(-14) is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24139*n**4 - 135*n + 55.\nAnswer: -289668*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -735741717 to the nearest one million.\nAnswer: -736000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.67 + -16.73. Let y = 18.40000113 + g. What is y rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 320561 + 2?\nAnswer: 320563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.094, 2, 5\/6, 4.\nAnswer: 0.094, 5\/6, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 1667*r - 3365. Calculate s(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p + 1. Let n be d(-3). Suppose f + 6 = -t + 4*t, 2*t + f = n. Factor 0*r**3 - r**t + 0*r**4 - r**4 + 2*r**3.\nAnswer: -r**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.7 - 8.7. Let z be (22\/(-77) + 30\/56)*-4. Let j be z\/(4\/(-12)) - 5. Which is the smallest value?  (a) j  (b) -0.2  (c) 8  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i**2. Let r(b) = b**2 + b - 1. Let l(s) = -s. Let m(g) = 3*g**2 - 2*g - 1. Let d(n) = -6*l(n) + 2*m(n). Let z(q) = d(q) - 2*r(q). What is f(z(c))?\nAnswer: -48*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of 0*c - 1 - 5*c**2 + 2*c + 4*c**2 + 5. Let y be j(-1). Solve -3*i = y*w + 8 - 36, -16 = -4*w for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 2*v**2 + 54*v - 3. Let r(t) = -9*t**2 - 270*t + 14. Determine -19*c(z) - 4*r(z).\nAnswer: -2*z**2 + 54*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -17*o + 30*o - 14*o. Let z(k) be the first derivative of -4*k**3 + 3*k**3 + 14 + 0*k**3. Determine n(z(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 371 - 1588. Let h = b + 1987. Round h to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*t + 12 = 104*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l**4 - 265*l**3 + 265*l**3 + (-l**3 + l**3 + 2*l**3)*(-1 + 1 - l).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 154250, 154244, 154238?\n\"Answer: -6*r + 154256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s = 4*c + 2, -84*c = -5*s - 86*c - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 11 = -w, 5*u = w - 131 + 115. Sort 3, -7, w, -25 in ascending order.\nAnswer: -25, -7, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11759 divided by 150.\nAnswer: 11759\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 41802652 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, -2072, -5, -1 in ascending order.\nAnswer: -2072, -53, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 1 - 8)*((-2*b**3 + 5*b**3 - b**3)*(2*b - b + 0*b) + 2*b**4 - 5*b**4 + 2*b**4) to y*b**4 + l*b + v + u*b**2 + z*b**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 30 - 69 + 5*u**2 - 4*u + 31. List the prime factors of o(-4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10759, 21297, 31645, 41815, 51819, 61669, 71377, 80955?\nAnswer: 90415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((h*h**(-13)*h)\/h)\/h*h*h)\/((h*h**(-2\/37))\/h))\/((h*h\/(h*h*h\/((h**(2\/57)\/h)\/h)*h*h)*h)\/(h\/h**(2\/11))))**25 assuming h is positive.\nAnswer: h**(-3574300\/23199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2007662880 to the nearest integer?\nAnswer: 44807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the third derivative of -31*b**5\/15 - b**2 + 250. Let g(a) = -2*a**2. What is m(g(q))?\nAnswer: -496*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/595200 and -89\/10230?\nAnswer: 6547200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3129704030 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: Let y(i) = 0*i**2 + i**2 + 5*i**2 - i. Let d = -29 - -28. Determine y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3216.512 tonnes to micrograms.\nAnswer: 3216512000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 5*o + 3. Let j(y) = 2*y + 1. Let w(p) = -3*j(p) + k(p). Let s(x) = 4*x. Determine w(s(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -2493*g - 208. Is r(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 4 - h + 2*h - 6*h**2 + 0*h**2. Let g be f(-6). Suppose 0*i - 15 = -3*i. Sort i, -1, g in decreasing order.\nAnswer: i, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 2*b. Let j(a) = -2*a + 19. Let k be j(7). Suppose 2*y - 27 = -k. Let o(c) = -y*c - 7*c + c. Calculate o(l(g)).\nAnswer: -34*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the third derivative of v**7\/504 + 23*v**5\/15 + 2*v**2 + 40*v. Let o(m) be the third derivative of y(m). What is o(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the third derivative of -m**5\/30 + 5*m**4\/24 + m**3\/6 - 32*m**2. Let z(h) = 2*h**2 - 4*h - 1. Let n(c) = 3*p(c) + 4*z(c). Give n(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/88754 and -31\/78.\nAnswer: 3461406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9995*z - 9171*z + 22248 = 0 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in 5, -0.5, 0, 6\/7, 0.09, -485?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 12:18 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 66*a**6 + 1034*a**5 - a**4 + 84815*a**2 + 7*a?\nAnswer: 7920*a**3 + 62040*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -3, -2\/9, 2, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -5) + -2 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*r**2 + 2342 - 3*r**2 - 8*r + 8*r - 3*r**2.\nAnswer: -4*r**2 + 2342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3))\/((-221)\/102)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + 2*p + 0*p)*(4*p**3 - 6*p**3 + p**3 + (4*p**3 - 5*p**3 + 3*p**3)*(1 + 3 - 2) + p**2 - 2*p**3 - p**2 + 278015 - 1455*p**3 - 278015).\nAnswer: -2908*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 44 = 3*g - 4*g, 0 = -2*c - 3*g + 15. What is the common denominator of (-2 - 0) + 18\/7 and 8 - (-87)\/c - (1 + -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 1 = 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00097 rounded to five dps?\nAnswer: -0.00097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 220 and 215780.\nAnswer: 2373580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 369, 417, 465?\nAnswer: 513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -945*l - 29329. Give s(-31).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 694 is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -0.058 * 0.19\nAnswer: -0.01102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y + 2. Let g be l(4). Let k be g - 0 - (-7 + 3). Suppose 0*z + k = z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14 - 10. Suppose 2*n = -n + 3*k, -o*k = 0. Suppose 3 = -3*q + 2*g + 19, n = 3*q - 4*g - 14. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 67\/((-37989)\/(-54)) + (-3)\/14*7376\/(-36).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 539 = 2*t - 781. Suppose 111*w - t = 106*w. List the prime factors of w.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -32*d**2. Let h(v) = -3*v. Give n(h(w)).\nAnswer: -288*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/6 and 121\/696?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -688*u**2 - 5*u + 1. Let w be r(-3). Let j be w\/88 + 2\/11. Let f be j\/(-84)*4\/(-15). Sort f, -1\/5, -0.3 in ascending order.\nAnswer: -0.3, f, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence txtx when four letters picked without replacement from fftxfttxftfxff?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 269813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**3\/13 + 8363746*d**2\/13 - 66909872*d\/13 + 133819680\/13 = 0.\nAnswer: 4, 4181865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 9 - 2)*(-5*g + 2*g - 5*g)*(13 + 14 - 10).\nAnswer: 2448*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 3*k - 395, 4*r = -3*k - k + 524. Let p = 90 - k. Let l = p + 99. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -5*c - 2*l + 330, 2*c + l = 335. Let g = -55 - -89. What is the greatest common divisor of g and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o + 6 = -216*o - 209 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -641761\/6 - -318977027\/2982. Let i = h - 2\/71. Find the common denominator of -4 + 76\/49*3 and i.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*k + 133 - 38 = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -j**3 + 2*j**2 - 2*j + 17. Let o be w(6). Is 1\/5 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 23*q. Let w(g) = -5*g**2 - 4*g. Let r(s) = 4*s**2 + 3*s. Let p(y) = -4*r(y) - 3*w(y). What is v(p(j))?\nAnswer: -23*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**2\/3 + 9*z + 2788\/3.\nAnswer: -(z - 68)*(z + 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -46 - ((15 - 19 - -6) + (2 - -1) - -1).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mtpppiippkkpmps. Give prob of sequence mp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12369\/187 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 78\/10 + 1\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.267 to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 61713*q - 171. Let t(p) = -2204*p + 6. Let f(x) = -57*t(x) - 2*y(x). Let z(o) = o. Give z(f(d)).\nAnswer: 2202*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -677425 - -18.06256?\nAnswer: -677406.93744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -962 - 2699 = 523*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y - 64*y**2 + 4 + 63*y**2 + 0 + 3. Determine h(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 25.9  (b) -1\/7  (c) 0.1563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (20\/30)\/(-2*(-2)\/(-6)). Let d be (m*(3 + -3))\/1. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 86 = 3*y. Let o(w) = -y - w + 43. Let u(f) = 12*f + 36*f - 34*f. Calculate o(u(m)).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1637457323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -0.99. What is the fourth biggest value in -5, m, 2, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -2*a**2 + 11000*a - 23. Let s(k) = -2*k. Calculate s(g(w)).\nAnswer: 4*w**2 - 22000*w + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.0849072019+294\nAnswer: 294.0849072019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.651 + -0.650998284. Round y to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hthrthh. What is prob of sequence hr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*i - 6*i - 2032. Suppose -i + 442 = 5*h. Calculate the highest common factor of 1134 and h.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 999 - 999 - 2939*l**2 - 7254*l**2 + 1240*l**2 as u*l + v + q*l**2 and give q.\nAnswer: -8953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00063381556 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010101010010 + 11?\nAnswer: -1010101001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9886, 13523, 17160, 20797, 24434?\nAnswer: 28071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 (base 14) in base 15?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4438*b**2 - 2474*b**2 - 2 + 15*b - 3720*b**2 - 92*b wrt b.\nAnswer: -21264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 - 107.5188.\nAnswer: -107.5188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/24408 and 85\/21357.\nAnswer: 170856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 5*g + 10. Let q be j(4). Let u = -2695 - -2693. Which is the second smallest value?  (a) -2\/7  (b) q  (c) u  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = c - 21, 61 = 5*c - 3*d - 9. Let q = c + 3. Let p = 23 + q. List the prime factors of p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {m: 5, k: 5, c: 2, u: 5}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 99641 is divided by 5860?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40 = -19*u + 14*u - 5*f, 24 = -4*u - 2*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -272040000 rounded to the nearest one million?\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 2 + -16 + -6 + 16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110001001111 (base 2) to base 16.\nAnswer: -c4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005766224575 rounded to 7 dps?\nAnswer: 0.0057662","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46180*s + 5126*s - 83043*s - 63335*s.\nAnswer: -187432*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-48)\/(-448))\/(90\/93240)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/5*20\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -79*l**2 - 8 + 47*l**2 + 8 to y + r*l + z*l**2 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + -2086?\nAnswer: -2087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/6886 and 63\/80128.\nAnswer: 881408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1 + sqrt(684) + sqrt(684)) - (-3 + -1 + sqrt(684))**2) + 3.\nAnswer: -693 + 96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.94 * -0.07431.\nAnswer: -0.0698514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 3*m = -0*m - 67, 0 = -3*i + 2*m + 29. Let k = i - 11. What is the first derivative of -3 - k*y + 5 - 4 wrt y?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 176761974*o + 100742356 wrt o?\nAnswer: 176761974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(112)\/sqrt(2))\/sqrt(4) + sqrt(126)*1)\/(-2*sqrt(98)*-1).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 - -11. Suppose -2*z = g - 3, 0*g - g + q = z. Let n = 8 + g. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -604*s**5 + 20*s - 1 wrt s?\nAnswer: -12080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89*z + 974918 + 2593893 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes after 10:23 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**2 + 6*c - 91. Let j be y(-14). Solve -j = 5*o - 1, 0 = -2*q + 4*o + 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.7 + -0.2. Let l = -3.9 - 0.1. Let g = -73.6 + 76.6. Which is the biggest value?  (a) g  (b) s  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -481, -1903, -4289, -7645, -11977, -17291, -23593, -30889?\n\"Answer: -x**3 - 476*x**2 + 13*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2907197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 417 and 57455233.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/3, 4, 0, 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 16*f**2 - 15*f - 13. Let r be a(17). Calculate the greatest common divisor of 42 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3159027 by 1.\nAnswer: -3159027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -904 - -1803. Calculate the highest common factor of 58 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1528650 divided by 509550\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43*g**2 - 16 + 156*g**2 + 182*g**2 + 3*g wrt g.\nAnswer: 590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: 7 - 17290704.540935\nAnswer: -17290697.540935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16\/3 + 4\/6. Suppose 84*p - 1985 = 139 - 108. Let r be (-124)\/p + 1\/z. Let c(h) = -h**2 - 4*h - 4. What is c(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 83521.4 times -0.2\nAnswer: -16704.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 222 - 6 = -5*f, -4*f + b = -178. Let j = 180 - 147. What is the greatest common divisor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/(-16)*392\/2058.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 2*w**4 - 1)*(w + 0 + 0) + 2*w**4 + w**5 - 2*w**4 + (1 + 3 - 1)*(-135*w**2 - 28*w**5 + 135*w**2).\nAnswer: -81*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 230 and 46?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 a factor of 49406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 + 13. Let s = g + -19. What is the highest common divisor of s and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 81  (b) 1  (c) 2\/7  (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5382?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2050 - 2075 = 5*p, 0 = 5*q + 3*p + 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -10*l. Let b(i) = 4*i**2. What is b(c(x))?\nAnswer: 400*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3, 0.3446, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 503647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2322312 (base 4) to base 12\nAnswer: -6b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*g*v - 821*g + 19558555*v - 8705 with respect to v.\nAnswer: -6*g + 19558555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12 + -18. Is (x\/(-12))\/(1\/610) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 35*t**3\/3 + t**2 + 21*t - 1. What is the hundreds digit of y(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 3. Let m(k) = -k**2 - 11*k - 8. Let a be m(-10). Suppose -5*h + a = -2*y - 15, h - y - 4 = 0. Calculate i(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 108, 320, 730, 1404, 2408, 3808?\nAnswer: 5670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, 36, -258, -4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -25452 (base 6) in base 13?\nAnswer: -19a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -18.6. What is the second biggest value in 0.3, f, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**3 + 9*n**2 + n + 1. Let w = 11 - 1. Let b be (-4)\/(-6)*45\/w. Let h(u) = -u**3 + 5*u**2 + u + 1. Let k(j) = b*p(j) - 5*h(j). Factor k(f).\nAnswer: 2*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1329*u - 1319*u = 261540. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 21 = 9. Suppose -1 = -w*j - u, -15 = 2*j + 4*u + 1. Solve -j*b - 3*b = 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 2*c - 1. Let a(w) = -302*w - 5. Give a(q) - 3*r(q).\nAnswer: -308*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + 11. Suppose -4*h + b = -7. Suppose -h*w = c - 2, -3*c + w = -0*w - 13. What is the greatest common divisor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 3*l - 16 = 5, 3*z + 2*l = 8. Which is the second smallest value?  (a) -1  (b) -4  (c) z  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 5*j**2 - 6. Let m(k) = 2*k**2 + 75*k - 2. Let h(n) = n**2 + 45*n - 1. Let o(g) = -5*h(g) + 3*m(g). Give -6*o(a) + t(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2101 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1145?\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -1355100 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 15200*k**2 + k - 5. Let s = -15 + 16. Suppose 7*y - 24 = 2*y + n, n - s = 0. Let p be o(y). What is p rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = b + 2*r + 9, -r - 6 = -b. Let u = -9.908 - -5.908. What is the second biggest value in u, b, 26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -6*p - 5. Let t(f) = 6*f + 4. Calculate 3*d(h) + 4*t(h).\nAnswer: 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -163*t**3 + t**2 - 4*t + 5. Let f(c) = 162*c**3 - c**2 + 4*c - 4. Let i(r) = 6*f(r) + 5*q(r). Is i(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16228.90726 - 16229. What is i rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**4\/7 + 332*y**3\/7 + 28208*y**2\/7 + 107584*y\/7.\nAnswer: y*(y + 4)*(y + 164)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 AM and 6:25 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -52*((-109344)\/871)\/(-68)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4475153.\nAnswer: 4475153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*f**2 + 1\/3*f**4 + 59\/3 - 58\/3*f**3 + 58\/3*f.\nAnswer: (f - 59)*(f - 1)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000796736362 rounded to six dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**4\/12 - 35*a**3\/6 - a**2. Let s be d(19). What is the second derivative of -3*j**4 - 3*j**4 - 2*j + 0*j - s*j wrt j?\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 255596905*x**3 + 44546711*x**2.\nAnswer: 1533581430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-8)\/(8\/(-7)) - 0)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118*p - 18 = 121*p, 0 = -5*s - 3*p + 1172. What is the highest common factor of 42 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**12*r\/r**1)**(22\/5) assuming r is positive.\nAnswer: r**(286\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 155811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w + 7197 - 7213 = -h, -18*w - h - 231 = 0 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 10 + -16. Let n = a - -8. Suppose n*h + 8 = -2*h. Put h, 3, 5 in descending order.\nAnswer: 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.18607 * 3.\nAnswer: -0.55821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and -93.2?\nAnswer: 93.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-25)\/15 + 170\/210 - (-20430)\/70. Calculate the greatest common divisor of y and 6887.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 134503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2 + 29555.\nAnswer: 29554.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -21013100013 (base 4) in base 8?\nAnswer: -11072007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 542 = 2*g + 126, -2*g + 2*d = -412. Let v = 614\/3 - g. What is j in -v*j - 8\/9*j**2 - 2 = 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (42\/8)\/((-5)\/(-20)). Suppose -5*g - 6 = -h. What is the lowest common multiple of g and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1 + (51 - -1) + 0 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**2 + 334*l. Let u(j) = -j**2. Calculate u(a(d)).\nAnswer: -d**4 + 668*d**3 - 111556*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31881*j - 11 - 9*j**2 + 31881*j - 2 to the form t*j + n + c*j**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {r: 3, k: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -92*h + 87*h + 5*n, n + 13 = 2*h. Solve -h*w + b - 4 + 16 = 0, 5*b - 40 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**34*(j*j\/(j\/j**(-23\/4)))\/j*j)**48 assuming j is positive.\nAnswer: j**1404","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2285985812?\nAnswer: 2, 11, 47, 271, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + 2 + r - 1)*(487*r + 2025*r + 659*r).\nAnswer: 3171*r**2 + 3171*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 6*u - 174. What is the remainder when h(12) is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176)*2 - sqrt(11) - sqrt(11))*1 + 3.\nAnswer: 3 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 552 a factor of 11829585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 15, s: 5}. What is prob of picking 3 s and 1 k?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - r = 5*k - 32, 2*k - 36 = -5*r. Let a be 6\/9 - k\/(-6). Let o(v) = v**3 - 2*v**2 + 1. Let q be o(a). Let u(d) = 4*d**2 + d. Give u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j\/(j\/j**(-4\/7))*j**(-1\/6)*j*j*(j*j*j**1*j)\/((j*j\/(j\/j**(1\/2)))\/j) assuming j is positive.\nAnswer: j**(100\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 737 and 4.\nAnswer: 2948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 717 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 316*j - 24. Let y be h(-11). What are the prime factors of (2 + 186\/15)\/((-75)\/y)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 PM and 2:45 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 3*w + 175, w = -5*h - 4*w + 185. Let u = -97\/3 + h. Put u, -3\/4, 5, 4 in decreasing order.\nAnswer: 5, 4, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of 3*k**4\/4 + 4*k**3 - 63*k**2\/2 + 26. Factor q(g).\nAnswer: 3*g*(g - 3)*(g + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 - 4)*((0 + 0 - 1)*(-z - 3*z + 5*z) + 1 + 2*z - 1 + 6*z + 9 - 9)*(0 + 3 + 0 + 3*z) to the form w + h*z**2 + k*z and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(70)\/sqrt(160) - (-2*(1 + sqrt(7)) - sqrt(7))) + sqrt(14)\/(sqrt(2)*1*5))**2.\nAnswer: 69*sqrt(7)\/5 + 34927\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*m + 2 = 30*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2308683.097 rounded to the nearest 100?\nAnswer: -2308700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 210 and 513282?\nAnswer: 2566410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*w - t + 24, -7*w + 2*t - 54 = 9*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k\/((k**(-8\/7)*k*k)\/k*k*k))*k**(-15)\/k)\/((k\/k**(-9\/2))\/k)**(-39))**(-2\/33) assuming k is positive.\nAnswer: k**(-753\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 93, 196, 337?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of -31\/3*o**3 + 0*o**2 + 0*o - 14. Let n(d) = 34*d - 10*d - 13*d - 10*d. What is g(n(v))?\nAnswer: -31*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 612, 3, -15837.\nAnswer: -15837, 3, 612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 649150 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -6*f**2 - 21*f. Let t(y) = y**2 + y. Let z(d) = g(d) + 15*t(d). Suppose z(i) = 0. What is i?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -102 - -120304?\nAnswer: 120202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4 - 5. Put 3, -1, f in descending order.\nAnswer: 3, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/3 - 0)*3. Suppose -2*n + c = -14, r*c = -3*n + n + 34. Solve -29 = 5*w - n, -3*h = -5*w - 26 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 - 7*m - 1. Let y be r(-6). Let l = -2 + 3. Let k be 5\/10*-1 + (1 - 0). What is the closest to k in 0.4, y, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 - -3) + (0 - -3) + -13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -150*c**2 - 962*c + 616.\nAnswer: -2*(c + 7)*(75*c - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b + 2*b + 15 - 8*b - 7.\nAnswer: -7*b + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i + 12 = s, -4*i = -5*s - 12. Suppose s = 2*k + k - 12. Let g be (0 + (-2)\/(-4))*8. Solve k*o - 14 = 3*z, -g*z + 2*o = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-2*(-1*sqrt(637)*-2 + 2 + sqrt(1573) + 0))**2.\nAnswer: 10000*sqrt(13) + 812900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -s**2 + 22*s - 40.\nAnswer: -(s - 20)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.6633cm to kilometers.\nAnswer: 0.000046633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 32240096 and 36512.\nAnswer: 32240096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 25 = -n, 0*n + 7 = -n + 4*h. Let c be ((-570)\/n)\/((-6)\/9). Let i = 48 + -10. What is the highest common divisor of i and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -64 or -1700\/27?\nAnswer: -1700\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 275366*v**3 - 2*v - 9100 wrt v.\nAnswer: 1652196*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -x**2 - 7*x + 6. Let a be c(-7). Let z be (1 - -2) + 2\/1. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-80 + 84 - (11 + 1)) - 22?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3086 - 46333 - 9600 + 2*f + 1 - 1 - f + (f - 1 + 1)*(-3 + 1 + 1) + 1 - 1 - f to the form x + m*f and give x.\nAnswer: -59019","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.9999988 + -11. What is y rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -30. Let t be (-16)\/o + 8\/12. Solve l - 2*g = 2*l + 4, -2*g = 2*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + u + 10. Let m(j) be the third derivative of j**5\/60 - 5*j**4\/24 + 2*j**2. Let o be m(5). What is the lowest common multiple of g(o) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 51, 226, 625, 1362, 2551, 4306?\n\"Answer: 19*d**3 - 2*d**2 + 48*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 168 - 169. What is the smallest value in z, 30, -0.1, -0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*w**3 - 2 + 4 + 6*w - w**3 + 2*w**2 - 5 as h + j*w**3 + u*w**2 + a*w and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 22652652007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 5*i = -i - 22, 0 = p - 3*i + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6\/(-8) + (-42)\/(-56). Suppose k = -c - 2*c - 60. Calculate the common denominator of ((-414)\/c)\/((-54)\/45) and -29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-3)\/(-2))\/((-8)\/(-208))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -48*o**4 + 100*o**3 + 316*o**2 + 200*o + 32 = 0.\nAnswer: -1, -2\/3, -1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -237  (c) -0.5  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 902113 (base 10) to base 9\nAnswer: 1624417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 8 - 66 = -4*g, -2*n + 55 = 3*g. Suppose 57 = g*o - 28. Solve -4*u - h = -4, o*u - 4*h - 11 = 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -267*f + 24 = -264*f. Let h = 715 - 702. Calculate the least common multiple of f and h.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1296.39 - -1296.3. Let u = -0.8 - 2.2. Sort w, 0.1, u.\nAnswer: u, w, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 33 = 2*z, 0*z + 2*n = 5*z - 30. Suppose 0 = -4*g + 5*j - 14, 4*j - 3*j + 2 = -z*g. Which is the nearest to g?  (a) -2  (b) 0.1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 346 - 320. What is the remainder when 30 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/(l**(-5)*l)*l)*l)**(2\/5)*l\/l**(1\/13)*l**5 assuming l is positive.\nAnswer: l**(51\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3364189877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-2)*-5*4\/(-40)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -234*y + 232*y - 8, 50420 = 4*o - 3*y. Is o a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 5. Differentiate -y**4 + l*y + 3 - 3*y + 3*y with respect to y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0029 and -3.\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 443.469 milligrams?\nAnswer: 443469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -2) + (-13 + 1 + -17 - -7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -83 (base 11) to base 9\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -10. Suppose q*a = 2*a + 2. Solve 3*d = f - 7, 0 = -3*d - 0*f + 4*f - a for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-49) + (-194)\/(-7). Let j = s - 20. What is the remainder when j is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2128 = -27*r + 3521 + 2532. What is the remainder when r is divided by 302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 84\/30*((-31)\/2 - (-248)\/31)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/918082080 and 83\/57380130.\nAnswer: 918082080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*z**6 - 12670*z**5 + 1325*z**3 + 168735930*z**2 wrt z?\nAnswer: 240*z**3 - 760200*z**2 + 7950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 266736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*t - 17976 = -2*x - 28*t, 8981 = x - t. What is the remainder when x is divided by 272?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 2*p - 19, 5*z = 5*p + 40 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/20)\/(2\/((-21)\/((-441)\/(-4830))))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6197, -24596, -55261, -98192, -153389?\nAnswer: -220852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {p: 4, g: 4, z: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 4*r**2 - 10*r - 317. Determine g(9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 7*f - 10*f - 86 + 19 = 0, 0 = -14*f - 28*f - 1008 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39 - 38 + 2*g**4 + 9*g**4 + (2 - g - 2)*(4*g**3 - 3*g**3 - 2*g**3) - g**4 + 0*g**4 - g**4 to the form l + r*g**2 + m*g + n*g**3 + f*g**4 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + 1 - -5) + -19 + 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -15 + 0 + (11 - (8 + -5))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pqw when three letters picked without replacement from ryqnpwry.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-1\/13)\/a)\/a**(4\/15))\/((a\/(a*a\/((a*a**1)\/a)))\/a**(-9\/2)) assuming a is positive.\nAnswer: a**(-2279\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 19 - 6 = -3*y, 4*y - 32 = -5*l. Let t = -9 - -14. Suppose 0*o + 5*o = 20. Solve -5*g + l*w + 13 = -o*g, -4*g + t*w = -8 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 879651026?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/4)\/((-393)\/1048).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.4 and 9136674386.2807.\nAnswer: 9136674385.8807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 112 and 179346?\nAnswer: 10043376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 - 115377.\nAnswer: -115377.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 276*w + 29878. Give m(-108).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - -2. Suppose 0 = -m - 5*h - 12, m - h + 4*h + 6 = 0. Suppose 8*z + 99 = m*z - x, 26 = -j*z + 3*x. Is z < -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -262*v - 1300 = -287*v. Calculate the highest common factor of 468 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 5*a**4\/3 + 875*a**3\/3 + 49445*a**2\/3 + 315595*a + 1361070 = 0?\nAnswer: -71, -27, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -61.7166?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 2*l**2 + 6 - l - 4*l.\nAnswer: -2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, m: 2, b: 4, d: 2, g: 3}. What is prob of picking 3 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(2 - 4))\/(-11 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 533 + -534. Which is the nearest to g?  (a) 13  (b) -3  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 4*m - 19. Let z be r(16). Let y = z + -24. Solve h - 5*o + y = 0, -5*h + 0*o + 4*o - 21 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1308849618 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from ykcgccgcgyyggygccc.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l**3 - 5*l**3 + 8*l**3.\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.67 - 8.33. Which is the biggest value?  (a) q  (b) -0.4  (c) 1  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5 - 3. Suppose 0 = -3*t + 4*d + 18, -2*t + 0 = 3*d + 5. Calculate the highest common divisor of t and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 480\/108 - 4\/9. Suppose 3*t = -d*z + 17, -z - 5 = 4*z. What is the highest common factor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30*a*f**2*k**2*y**2 - 2*a*f**2*k*y**3 + 2*a*f**2*k*y - 5*a*f*k**2*y**3 - 2*f**2*y - 152*y wrt k.\nAnswer: -60*a*f**2*y**2 - 10*a*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20947 - -21002. Calculate the remainder when s is divided by -2 + -1*10\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 265 - 74 = -85*v - 659 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.6 less than or equal to 909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2208 + 1069. Let r = 1110.95 + y. Let m = r + 28. Which is the nearest to -1?  (a) -1  (b) m  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 1350810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 590 + -587. Suppose -5*t - 7 = y, f*t - 4 = 4*y + 1. Let z(v) = -9*v**2 + 3*v. Let j(n) = n. What is t*z(h) + 3*j(h)?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 9656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 643.7 - 645. Which is the nearest to 1\/4?  (a) o  (b) -2\/21  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 5*k**2 - 6*k + 12. Let g be c(-6). Solve -g = -3*a - 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (145\/(-5655))\/(2\/((-24)\/(-2))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 7*u**2 - 28*u + 5. Let j be (-5180)\/(-1260) - (-1 - 1)\/(-18). Give i(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*c**3 - 15*c**3 + 22*c**3.\nAnswer: -19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22.1 + 21. Let v = 16.5 - 17.5. Which is greater: z or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the third derivative of -c**7\/2520 - 5*c**4\/12 - 12*c**2. Let p(r) be the second derivative of t(r). Let u(s) = -17*s**2. Give u(p(a)).\nAnswer: -17*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 132 = -t - 3*j, -2*t - 2*j + 264 = 0. Suppose -2*g - 14 = -4. Let x = 17 + g. Calculate the highest common divisor of t and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100816144 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes before 10:04 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a - 4. Let u(f) = f - 5. Let c(p) = -5*m(p) + 4*u(p). Let o(x) = -18*x. Give o(c(y)).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 681934 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 66, 131, 216, 321, 446, 591?\nAnswer: 756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12663569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from mhhonhhhinnnnni.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2778)\/12501 - (-1)\/(18\/(-284))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 12:27 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = 3*t + 2*t. Let y = t - -52. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -37*a**2 - 326*a + 6946. What is d(10)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 310 equal to 305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7218 is divided by 735.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 20*z**2 + 45*z - 44. Let m be u(36). Let k = -15683 + m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 588\/11, 179, -2683 in descending order.\nAnswer: 179, 588\/11, -2683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the third derivative of -q**5\/60 - 5*q**4\/12 - q**3\/6 + 3*q**2. What are the prime factors of p(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 707.2501 nanometers to micrometers.\nAnswer: 0.7072501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 86 and 16942?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 9:57 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5693 or -5696?\nAnswer: -5696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 10*h + 10. Let i be n(-8). Let b(l) = -18*l - 5. Let g be b(-8). Let r = i + g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/4)\/(c*c**(-2\/11)*c)*(c\/(c*c\/(c\/c**0*c))*c)**(2\/21) assuming c is positive.\nAnswer: c**(-1735\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 PM and 9:52 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from jjuujuujujluuj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + -3 + (-456 - -462).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36566455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 714 by -7.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -2*k**2 - 18*k. Let l be t(-6). Let i = 44 - l. What is the remainder when -1 + 2 + -1 - -30 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 2)*(313*a**2 - 318*a**2 + 46 - 6) to r*a + b + f*a**2 and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s. Let x(d) be the second derivative of d**2\/2 + d. Suppose -b - 9 = 5*k - 0*b, -k - 5 = b. What is k*m(p) - x(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7356669*q**3*y**2 + 3*q**2 - 2*q*y**2 + 21*q*y + 530*y**2 - 2*y wrt q.\nAnswer: 44140014*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.0256 - -0.88. What is o rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*m - 5*m + 11592 = 6*m. Calculate the lowest common multiple of m and 66.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o - 6 + 3 + 3. Let j(t) = 3*t**2 + 4*t. Let f(v) = -3*v**2 - 5*v. Let n(b) = -4*f(b) - 5*j(b). Calculate x(n(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 995792919?\nAnswer: 3, 11, 439, 68737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a microgram in nanograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 2*w + 9. Let k be x(-10). Let m be (k\/4 - -2)*-4. Suppose -3*r = -42 + m. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {x: 1, t: 2, c: 3, d: 1}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 2*z**3 + 5)*(70*z + 78*z + 97*z - 2).\nAnswer: -490*z**4 + 4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 36908 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/33 and 95\/4874334?\nAnswer: 53617674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (7 + -9)) + (3 - -6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 83429640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 3:25 AM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**2\/2 - 112103*y + 1793520 = 0. Calculate y.\nAnswer: 16, 224190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of a**5\/15 + a**4\/8 - a**3\/6 - 172*a**2. Let f = 5 + 0. Let z(c) = -5*c**2 - 4*c + 1. Determine f*z(v) + 6*h(v).\nAnswer: -v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -767238 - -2479538. Round a to the nearest 10000.\nAnswer: 1710000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 177321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -743, 3, -2 in decreasing order.\nAnswer: 3, 1, -2, -3, -743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 134510 (base 6) in base 12?\nAnswer: 7436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = k**3 + 10*k**2 - 13*k - 1. Let s = -22 + 11. Is y(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of 5\/6*n**6 + 0*n - 15\/4*n**4 - 10*n**2 - 1 + 2*n**5 - 40\/3*n**3. Let p(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 100*z**3 + 95*z**3 - 297*z**3 + 87*z**3 + (-z**2 + 0*z**2 + 3*z**2)*(2*z - 3*z - z) - 8*z + 8*z + 10*z**3 as m*z**2 + s + a*z + w*z**3 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 27714.01 years in decades?\nAnswer: 2771.401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) 0.2  (c) -1.54  (d) -2  (e) 521\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -85, -71, -57, -43, -29, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1750\/(-1400))\/((-35)\/(-1176)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence subz when four letters picked without replacement from oobusbggz?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 + (-45)\/10)\/(-432). Let d = q - -95\/288. Which is the closest to 0.1?  (a) 0.1  (b) d  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5f1a + 3a?\nAnswer: 5f54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in one eighteenth of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 335*w + 593 = 289*w - 194 - 87 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p**2. Let u be (2 + -6)*9\/2. Let c be (-9)\/2*84\/u. Let q(w) = 21 + 3*w**2 - c. Calculate q(d(o)).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4 - 6135\/53625*35. Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 - (-283 + 192) - (2 + 4 + -1)\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 36*r**2 + 77*r - 49. Let x be i(38). Let c(p) = 216532*p**2 + 35*p + 13. Let v be c(x). Round v to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 135371*c - 5008577. Determine j(37).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -1413340018 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28, -45, -62, -79, -96?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 8 - 7 + 5 + 4*n - 2*n. Let a be k(-6). Let p(s) = s + 11. Let q be p(a). Solve q*l - 3*l = -2*b + 10, l + 5 = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, d: 2, i: 6, g: 1, m: 4}. Give prob of picking 1 i and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16 + 22. Let r = g + -5. Is 11\/6 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09495324938 less than 1.65?\nAnswer: 1.55504675062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -37, -83, -147, -229, -329, -447?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 7.28, -65\/29, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - 7*b - 3. Let c be k(-6). Suppose 3*x + a = 3*a - 6, 5*x = a - c. Suppose -g + 5*g - 172 = x. Calculate the remainder when g is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 52902?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*d + 1347 + 2433. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = -c + 5*c - 46, -c = 3*k - 79. Factor -3*r**4 - k*r**2 - 4 + 1 - 12*r**3 - 12*r + 9*r**2.\nAnswer: -3*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and (-5)\/5*(6 - 18)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -0.0973, 1\/28, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5.741 * 0.5.\nAnswer: -2.8705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*(i*i**5*i)\/i)\/i)\/i**(-1\/11)*(i**(-3\/7))**39)**(2\/5) assuming i is positive.\nAnswer: i**(-1636\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 267486018 to the power of 1\/2, to the nearest integer?\nAnswer: 16355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 693506 by -23914.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 14*d - 112. Calculate the greatest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4*s + 48, -3*s + 5*u - 3 + 39 = 0. Solve -3 = -3*a - a - c, 4*c = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 - 17*f**2 - 37*f - 22. Determine q(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19394056 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -64*f. Let w(l) = 18*l**2. What is w(g(x))?\nAnswer: 73728*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 times -153636\nAnswer: -61454.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 5*h - 5*h**2 + 0*h**3 - 5*h**3 - 5 + h**3. Let w(o) be the second derivative of o**5\/10 + o**4\/4 - o**3\/2 + 3*o**2\/2 - o + 5. Give 3*i(k) + 5*w(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-128)\/(-2))\/8)\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**3 + 5*n**2 + n. Let m be f(-6). Let t = m + -71. Let o = -3 - t. What is o rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-48)\/(-18)*6\/4. Suppose -2*y = -3 - 1. Suppose 78 = x*v + q, y*v = -v + q + 55. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 + -2 + (-2 - -2). Let t(l) = l - 1. Let z be t(6). Let w be 1*z\/((-30)\/4). What is the second smallest value in 0.3, i, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i**5 - 42*i**4 - 194*i**3 - 150*i**2 = 0. Calculate i.\nAnswer: -3, -1, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u - 4*u - 14*u + 4*u + (-3 + 1 - 1)*(-2*u + 3*u - 4*u).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388425.\nAnswer: 3, 5, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence od when two letters picked without replacement from ddmdo?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 520.3273 nanoseconds to microseconds.\nAnswer: 0.5203273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 21714 - 390749\/18. What is the common denominator of q and 139\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*c + 4*t - 6, 3*c - 4*t = 10. Solve 0 = -c*r - 5*z + 10, -3*z = 3*r - 6*z + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-550)\/396*(-243)\/405?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6*t**2 + 0*t**2 + 1 - 3*t - 6*t + t**2. Let w be y(3). Solve -20 = 3*i - 2*l, 5*i - l = 13 - w for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 21, 7, 3048, -3, 2 in increasing order.\nAnswer: -3, 1, 2, 7, 21, 3048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -474 + 110. Let k = c - -371. Let a = 0.3 + -1.3. Sort k, -2, a, -0.5 in decreasing order.\nAnswer: k, -0.5, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17*f**2 - 9*f**2 + 27*f**2 + (6*f + 14*f + 22*f)*(-4*f + 3*f + 0*f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -7*f**3 + 3*f**2 + 2*f + 8. Let x(v) = v**2 + v. Give s(l) - 3*x(l).\nAnswer: -7*l**3 - l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**3\/8 - 51*g**2\/8 + 191*g\/8 - 141\/8.\nAnswer: (g - 47)*(g - 3)*(g - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (18 - (-6 - -5 - 19)) + (0 - -3)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j - 13. What is the remainder when c(11) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g**2 - 9998682*g + 24993410434281 = 0. What is g?\nAnswer: 4999341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -94012963433 - 0.4\nAnswer: -94012963433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -47697.411 + 0.06965.\nAnswer: -47697.34135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 >= 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**9\/504 + x**5\/10 + 3*x**2. Find the third derivative of v(i) wrt i.\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -9*g - 4. Let n(c) be the third derivative of c**4\/24 + c**3\/6 + c**2. Let o(s) = h(s) + 6*n(s). What is the tens digit of o(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 2 - 2 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 17 + 32. Let z(g) = -3*g**x - 126*g**2 + 127*g**2 + 6*g**3 - 9. Let n be z(-4). What is n rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1.3  (b) -1\/3  (c) -3  (d) -4  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p - 1. Let d(x) be the third derivative of x**4\/4 + x**3\/3 + 10*x**2. Let a(n) = -3*d(n) - 8*v(n). Determine a(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 27.3 and -129640?\nAnswer: -3539172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8b50 (base 15) in base 12?\nAnswer: -15126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**2 - 78891772*n + 78891768.\nAnswer: 4*(n - 19722942)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 5 + -4 + sqrt(539) + -3*sqrt(539).\nAnswer: -14*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -385.9 + 386. Which is the third smallest value?  (a) f  (b) -4\/9  (c) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**3 - 35*t**2 + 18*t - 13. Let a be s(17). Solve n + 1 = 0, a*z + z - 9 = -n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*6\/14*(-1 + 0). Which is the closest to -176?  (a) k  (b) 5  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*z - 42 = -0*z. Factor 2\/9*s**z - 2\/3*s + 4\/9.\nAnswer: 2*(s - 2)*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 160 + -69. Let d = -35 + k. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 18*f**2 - 38*f + 378. Let k be i(15). Which is the fourth smallest value?  (a) -0.1  (b) 4  (c) k  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61194*r = 76140*r - 89676 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = -3*r - 83. Let o(t) = -240*t**2 - 239*t. Let i(m) = 1203*m**2 + 1196*m. Let a(w) = r*i(w) - 11*o(w). What is the second derivative of a(v) wrt v?\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 7*x**2 - 6*x. Let v = 22 - 23. Let r(b) = b**2 - b. Let h(z) = v*o(z) + 6*r(z). Let j(g) = -g + 6*g - 2*g. Calculate h(j(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -16290 (base 13) to base 10\nAnswer: -42198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 3*v + 3*g - 60, -2*v - 5*g = -30. Solve m = -2*m - v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 0 + 5 + 168\/(-24). Let j be -1 + -3*(-24)\/9. Let r = a + j. Is 4 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -210\/17*m + 36\/17 + 46\/17*m**3 - 44\/17*m**2 + 12\/17*m**4 = 0?\nAnswer: -3, 1\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.8999568cm?\nAnswer: 8.999568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/55 - ((-3)\/(-20))\/((-132)\/176)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 743\/1478 - (15\/6)\/5. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {b: 5, s: 1, h: 2, p: 4, u: 2}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 4) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2+7440234468390\nAnswer: 7440234468388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(189)\/(sqrt(9)*-2) + -6*sqrt(126)\/sqrt(6))\/(sqrt(216)\/sqrt(2) + sqrt(135)\/sqrt(5)) + -1.\nAnswer: -13*sqrt(7)\/18 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -18.909 + 109732989\nAnswer: 109732970.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 25 divided by -12234\nAnswer: -25\/12234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 3*k**2. Let d(s) = 3*s**2. What is d(x(n))?\nAnswer: 27*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 3*l**3 - 66*l**2 = 0?\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, -469, 2 in increasing order.\nAnswer: -469, -12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 2*h + 12 = -6, 11 = 2*w - 3*h. Let l = -19.6 - -24.6. What is the nearest to 2\/7 in w, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1848 (base 14) in base 9?\nAnswer: 6002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 1 + 240*l - 263*l - 5.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:12 AM and 5:04 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 5, s: 5, z: 5, t: 1, c: 4}. Give prob of picking 2 c.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuurummum. Give prob of sequence mu.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**2 + 6*r + 1. Let w(x) = -3*x + 4. Let d be w(3). Let o be a(d). Solve -7 + 1 = -3*g - 2*f, -3*f = -3*g + o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(2\/21)*d**(1\/6)*d**(-13)*d\/(d\/d**(1\/3)) assuming d is positive.\nAnswer: d**(-521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1302, 9, 3 in decreasing order.\nAnswer: 9, 3, -1302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 221 divide 2502825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Solve 21*b + 4*b + 18555 - 18080 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 0.0182515, -1, 4.\nAnswer: -1, 0, 0.0182515, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5053\/10 + -510. What is the common denominator of -54\/11 and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -0.5. Let w = -2.5 - s. Suppose 4*u - 13 = -1. Which is the closest to -0.1?  (a) w  (b) -0.1  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -3814\/3 = -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**(-13)\/x)\/x*x)\/x)\/x**28*x**(-6\/5)\/x**43 assuming x is positive.\nAnswer: x**(-436\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o**5\/7 + 2488*o**4\/7 + 9963*o**3\/7 + 12458*o**2\/7 + 712*o = 0. What is o?\nAnswer: -2, -1, 0, 2492","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 55 + 28352*z - 188 + 77 + 56 to the form t*z + j and give t.\nAnswer: 28352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*w = -5365797 + 5361726 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**3\/5 - 32*r**2\/5 - 44*r - 304\/5.\nAnswer: (r - 38)*(r + 2)*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 190256072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -6*f**2 + 0*f**2 + 3*f**2. Let x(y) = -y**2. Give r(x(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4c (base 13) to base 4.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -202201102 (base 3) in base 5?\nAnswer: -440404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4  (b) 1\/6  (c) -10\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38347, 38331, 38319, 38311?\nAnswer: 38307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -3.8 times -2037\nAnswer: 7740.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-55)*(-3 + 2)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2\/7 - 76460*o\/7 + 9678162\/7.\nAnswer: 2*(o - 38103)*(o - 127)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1819551823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1971, 1749, 1093, -213, -2385, -5639, -10191, -16257?\n\"Answer: -36*w**3 - w**2 + 33*w + 1975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from ojiwwoo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 1. Let a = 6 - g. What is the third smallest value in -3, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -139, -611, -1493, -2863, -4799?\nAnswer: -7379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 436097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8816924 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(77)\/sqrt(44)*-5.\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d**3 - 36 + 36)*(-7 - 9 + 21) + 8*d**2 + d**3 - 13*d**2 - 2 + 0.\nAnswer: 26*d**3 - 5*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-64)\/168*3)\/(14*(-14)\/(-8918)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 76*p**2 + 128*p**4 - 6*p**2 + 61*p**3 + 129*p**4 - 258*p**4 + 8*p**3.\nAnswer: -p**2*(p - 70)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gyyyyygygyggg. Give prob of picking 3 g.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*z + 34 - 34 + (-3*z + z + 4*z)*(-4 + 5 - 3) - 3*z + 3 - 3 + (5 - 2 - 2)*(61*z - 10*z + 14*z) - 4*z + z + z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(24)\/(2*sqrt(72)).\nAnswer: -1 + sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -6*r + 137. List the prime factors of d(-9).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = y + 4*y + 2*w, 0 = -4*w + 12. What is the lowest common multiple of y and 12 + (-9)\/(36\/(-16))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 3*k - 708, b - 256 = -10*k + 5*k. Suppose 75 = 4*v - 9. What is the highest common factor of b and v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the first derivative of 3*f**3 + 17*f**2\/2 + 17*f + 24. Let r(t) = -3*t**2 - 6*t - 6. Give 6*j(k) + 17*r(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 13431497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 47*r**7\/42 + 625*r**4\/12 + 1424*r**2. Find the second derivative of y(v) wrt v.\nAnswer: 2820*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*p = 52*p - 354. Let q(l) = l + 6. Let y(h) = 1. Let d(m) = q(m) - 4*y(m). Calculate d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 6*l**3 + 3*l**2 + 3*l - 3. Let c(u) be the third derivative of 11*u**6\/120 + u**5\/12 + 5*u**4\/24 - 5*u**3\/6 - 3*u**2. Calculate -3*c(s) + 5*f(s).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*2*(sqrt(567)*-2 - sqrt(567)))**2*-1.\nAnswer: -81648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 7\/3*i - 1 + 1\/3*i**3 - 5\/3*i**2 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the third derivative of -t**4\/8 - t**3\/3 + 3*t**2. What is the units digit of a(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 64*c**3 - 11 - 6*c + 2*c**2 + 0*c**4 - 66*c**3 + c + 5*c**4 - 6*c**4 to h*c**3 + s*c + k*c**2 + p + m*c**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41698977?\nAnswer: 3, 17, 19, 23, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -28 + (-18 - (-3 + -7 - -1) - -14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, f: 1, x: 1, h: 2, u: 2}. What is prob of picking 1 h and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*a + 5*h = -10*a + 2, 5*h = -2*a - 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527498023.\nAnswer: 13, 29, 1399199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17628545, 35257093, 52885641, 70514189, 88142737, 105771285?\nAnswer: 123399833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/45)\/(6\/10). Let r(z) = -2*z**3 + 9*z**2 + 29*z - 113. Let o be r(5). Which is the fourth biggest value?  (a) -1\/3  (b) -2\/7  (c) o  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5066 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 49.3 and 1571258.\nAnswer: 77463019.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d08 (base 14) in base 13?\nAnswer: -2549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/21 and 50\/3167.\nAnswer: 66507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 a, and 1 m when three letters picked without replacement from aaakaaxaaama?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 329 and 46906.\nAnswer: 328342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwrrewjwnewjjeerrjr. Give prob of sequence nw.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5761 is divided by 93.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 400 and 5750?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15 * -12.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 493 + 32 = 5*p. What is the second derivative of -p*t**5 + 127*t**5 - 2*t**2 - 13*t + 2*t**2 wrt t?\nAnswer: 440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1039 is divided by 172.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4657692 to the power of 1\/2, to the nearest integer?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0 - -1 - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 1)\/(0 + 2). Suppose -2 = 2*w - f. Let p(l) = 2*l**3 - 2*l - 1. Give p(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1200 + 2032323013?\nAnswer: 2032330213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/500 and 37\/15?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ah when two letters picked without replacement from lxzzznllhznnzzxzzza.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 16*d + 160. Let u be v(-23). What is the tens digit of (-2352)\/(-8) + 1 + u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -17507516*k**3 + 8*k**2 + 27*k + 7919 wrt k?\nAnswer: -105045096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 5*z. Solve -2*u + 4*u - 2*g = -10, -u + 2*g - 6 = z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 14 + (7 - 35).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*h**2 + 71*h**4 - 92*h**4 + 52*h**4 wrt h.\nAnswer: 744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -2*f - 10, -5*z + 3*f = f - 10. Solve z = -y - y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppyyyp. Give prob of picking 2 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -500*n**4 - 31700*n**3 - 492845*n**2 + 304320*n - 46080 = 0.\nAnswer: -32, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2689\/2 - -10857\/8. Let i be 6\/21 - 416\/(-14). What is the common denominator of c and -1 - (i\/(-7))\/5?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - (-35)\/(-5))\/(-3). Suppose -4*x - o + 3272 = -3*o, q = x + 2*o - 818. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)*2*-1 + sqrt(21))\/(5*1*sqrt(7)) - -4*((-2 + sqrt(3))*3 - (sqrt(243) + (-2 + sqrt(243) - sqrt(243))**2)).\nAnswer: -121*sqrt(3)\/5 - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = 2*n + 2*s - 3*s, 0 = 3*n + s + 17. Let z(k) = 2*k**2 + 9*k + 2. Let i be z(n). Solve u = -4*u + i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3816*l**2 + 347 + 2*l - 3815*l**2 - l**3 - 37)*(1 - 2*l - 1) in the form t*l + z*l**4 + w*l**2 + x*l**3 + n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 18. Let w be (6\/(-8))\/(a\/(-36)). Put -5, 4, w in ascending order.\nAnswer: -5, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/21, 0.4, 0.2, 36?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*f**5 - 248*f**4 + 3588*f**3 + 7936*f**2 + 4096*f = 0. What is f?\nAnswer: -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 7:58 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 300337834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9885403 to the nearest integer?\nAnswer: 3144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of m**3*w + 1316*m**3 + 269*m**2*w**2 - 2*m**2 + 1 wrt w?\nAnswer: m**3 + 538*m**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1085.002*0.58.\nAnswer: -629.30116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrmrrmm. Give prob of picking 1 m and 2 r.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x**2 - 3*x + 2. Give q(3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110111110011110001011110011 + 1?\nAnswer: 110111110011110001011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 66634004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 697, 692, 687, 682, 677, 672?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12935\/4 - -116423\/36. Which is the closest to -0.1?  (a) x  (b) -4  (c) -0.5  (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -316950 divided by 158475.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n - 96. Let c(j) = j**2 + 6358*j + 2. Give c(s(o)).\nAnswer: o**2 - 6166*o - 601150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7778 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.12  (b) 0.3  (c) -2\/363  (d) 99.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b - 6*b - 4*b + (-1 + 2*b + 1)*(0 + 0 - 3))*(2 - 3 + 6).\nAnswer: -75*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 86*n - 1556. Determine q(-25).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 9*h**2 - 4*h - 2. Let a be g(5). Calculate the highest common factor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3 - -2)\/((-3)\/6). Does 25 divide a\/(4 - 5) - -66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a89ac (base 14) to base 15.\nAnswer: 80d6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bnf when three letters picked without replacement from nnbf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -184 - -184. Suppose 0 = 3*h - x*h - 351. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 4*v + 68, -4*q - 4*v = q + 90. Which is the nearest to 0.3?  (a) 4  (b) 3\/2  (c) -4  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*p = 22*p - 136. Sort -5, p, -299 in descending order.\nAnswer: p, -5, -299","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -139, -2, -3, 4, 18, 73, 7 in ascending order.\nAnswer: -139, -3, -2, 4, 7, 18, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/11 - (-324)\/33. Let r = -4 + k. Let c be 1\/(-3) - (-14)\/r. Solve 4*h - c*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10363453.\nAnswer: 47, 311, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -588989?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of -d**5\/20 - 2*d**4\/3 + 3*d**3\/2 + d**2 + 5*d. Let a be j(-9). Solve 1 = -a*l + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2\/(-42)*-9.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(-30) - (-19)\/(-30). Let u(r) = 5*r + 12. Let d be u(-17). Let k = 218\/3 + d. Which is the closest to -1?  (a) 5  (b) f  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 38*j - 42*j. Suppose -5*o = 126 - 301. Calculate the highest common divisor of o and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + -28 - (-3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 28 = -w, 2*h = -5*w - 2*h + 56. Let g = w - 4. What is the greatest common factor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - -52. Suppose 0 = -4*c + 4*d + 88, c + d = -2*c + j. Let k = 3 - -4. What is the remainder when c is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6750 - -7450. Which is greater: 709 or f?\nAnswer: 709","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**4 + s**3 + s**2 - s + 1. Let d(b) = -21*b**4 + 3*b**3 - 6*b**2 - 30*b + 18. Let f(x) = -d(x) + 18*w(x). Solve f(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -2*i - 8, 11 = -3*i + 4*i + 2*f. Suppose 3*g + 12 = 7*g. Suppose -g*q = -7*q + 8. Calculate the remainder when q is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 207 = 2*f, -5*c + 383 = f - 634. Suppose 0*k + 434 = -7*k. Let t = -28 - k. Calculate the remainder when c is divided by t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60 = 7*j - 87. What is the remainder when 93 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -40 - -71. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-484)\/(-10) + (0 - (-6)\/10) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 - d + 158. Let p be j(0). What is the common denominator of -26\/11 and (12\/(-24))\/(p\/86)?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (37 - 9 - 17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155 - 272 = 61*r for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*u + 322 - 442. Let i be 8\/u*(-386 + 2). Calculate the highest common divisor of 16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -45210 - -587744\/13. Determine h, given that -4\/13*h**2 - 6\/13 + t*h = 0.\nAnswer: 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -32048 - -45571. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**1*p**(-11)*p*p*p**(2\/41)*p*p**(-4) assuming p is positive.\nAnswer: p**(-449\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6892.2811 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = o + 6. Let t(u) = 203*u**4 + u**2 - 242*u. Let p(s) = -s**4 - s**2. Let g(a) = o*p(a) - t(a). What is the second derivative of g(v) wrt v?\nAnswer: -2424*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.8 + 1.2. Suppose -5*o + 4 = -o. What is the biggest value in s, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -2*h**2 + 33*h + 58. Let u be o(18). Let v(s) = 175*s - 1. What are the prime factors of v(u)?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 24 = -3*u - u, 4*u - 3*y = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 2*p**2 - 2*p - 2. Let x(g) be the first derivative of -g**4\/4 + g**3 - 3*g**2\/2 - 2*g + 11. What is -3*s(j) + 2*x(j)?\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6\/4*(-16)\/(-6). Let d = 8 - x. Which is the closest to 3?  (a) 2\/17  (b) -4  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 - 199195*m**2 - 20*m + 4*m**3 + 199191*m**2 + 19*m in the form r + q*m + y*m**2 + o*m**3 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 4233138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-12)\/(-28) - 3*370\/(-105)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, 2, -322, 2\/11, 5 in increasing order.\nAnswer: -322, 2\/11, 3\/2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -1, 2, -0.04?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10629 = 5*g - h, 3*h - 2137 = 2*g - g. Calculate the remainder when 10\/(-8) - g\/100 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 176 minutes after 5:14 PM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2340128.1469939 + -2340128. Let m = -261.147 + 261. Let b = m + t. Round b to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5963341 + 4176341. What is t rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*m - 4*d + 2492 = 0, 2*m = 2*d + 986. Let x = -2794 - -2800. Calculate the lowest common multiple of x and m.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, i: 1, h: 1, a: 1, j: 2}. What is prob of picking 1 j, 1 i, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -122011 + -3013?\nAnswer: -131030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqezqzqz?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5*f + 0 - 4 - 10 + 14. Let u(y) = 877*y**2. Determine u(x(g)).\nAnswer: 21925*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 62 = 7. Solve 0 = -o + 2*o + j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0009621 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2 - 2448*m - 27049.\nAnswer: (m - 2459)*(m + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-2) + 59895\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/22 + (435\/33 - 4). Let u(a) = -a**3 - 4*a**2 - 4*a - 1. Let z be u(-3). Suppose 2*g - z = g. Solve -p = g*p + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.4025589 minutes in days?\nAnswer: 0.002362888125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 2*t**2 - 17*t + 12. Let j be g(8). Solve -j*r - 3*w + 1 - 4 = 0, 1 = -3*r - w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2657253 - 0?\nAnswer: 2657253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 659511920?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.17 - 0.09. Which is bigger: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 889673415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 - 235*p**2 + 13377*p - 4587. What is u(139)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -47  (b) -0.5  (c) 3  (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31071?\nAnswer: 3, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 212201042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -11\/5  (b) 1  (c) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 196573946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 221121110122 (base 3) in base 14?\nAnswer: d19ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 9, -2, -1 in descending order.\nAnswer: 9, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 607 a factor of 7638053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1451171621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7545605?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -6*k**2 - 429*k - 4222. Give v(-12).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 + -15. Let y be 282\/(-8) - 4\/(-16). Let w = u - y. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4*(-3)\/24)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the first derivative of -r**4\/24 + 3*r**3\/2 + r**2\/2 + 17*r - 49. Let x(g) be the second derivative of h(g). What is x(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 844, 1692, 2540, 3388, 4236, 5084?\nAnswer: 5932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x**2 + 13*x. Let r(j) = 2*j**2 + 6*j. Let g(q) = 13*r(q) - 6*t(q). Let c = -898 - -948. Let s(z) = -16*z + 3*z - z + c*z - 12*z. Calculate s(g(f)).\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/5, -15914.3, -1, 0, -2\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -25876*a*r + 43*r + 117 wrt a?\nAnswer: -25876*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*w**3*x - w**3 - 2*w**2*x + 2*w**2 + 15*w*x wrt w?\nAnswer: 54*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -z + 7. Suppose 3*w + g = 29, 1 = g + z. Find d such that 4 + 0*d - w*d + 7*d**2 - d**2 = 0.\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeev?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000165193 rounded to 5 decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 787587.9l to millilitres.\nAnswer: 787587900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-202)\/404)\/(6\/((-960)\/(-8))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 157226446 divided by 26\nAnswer: 6047171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5 + ((2*(sqrt(1539) - (sqrt(1539) - (sqrt(1539)*-2 + sqrt(1539)))) - 5*-1*sqrt(1539)) + 4)**2*1).\nAnswer: 1080*sqrt(19) + 69360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/3*9*(-1)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 4*y + 7. Let u(g) = -15*g - 30. Calculate -22*i(r) - 6*u(r).\nAnswer: 2*r + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2049313195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 - 1. Let m be a(5). Find d such that -m*d**2 - 12*d - 5*d**4 + d**4 + d**4 - 15*d**3 + 0*d**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 17, h: 2}. Give prob of sequence hhr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (-4 - ((-11 - -5) + 3))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 870490 - 602711. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4 + 0. Suppose -p = -52 + 52. Suppose -10 = -p*j + 5*j, 0 = 3*b + 4*j + 5. Calculate the highest common divisor of b and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - 7*n + 13. Let y be a(3). What is the remainder when 79 is divided by (19\/(475\/(-30)))\/(y\/(-25))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*k - 9867 = -336*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 264499, -2, -16\/5?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18477892 and 9?\nAnswer: 166301028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 48060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -9b (base 12) to base 4.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = i - 3*a - 1, -a = 3*i - 7. Suppose 0 = 2*b + 2, 0*h = -3*h - 4*b + 14. Solve i*t + 20 = 2*q, 3*q - 35 = -2*t + h*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 192*m - 120 - 6408 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 8*p**2 - 32*p - 2. Let i be m(4). What is the lowest common multiple of 30 and (-14)\/i - -1*(1 + 2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -378 divided by 18.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (((sqrt(110) - sqrt(110)*4)*-4)\/(3*sqrt(60)\/sqrt(6)))**2.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64302681.\nAnswer: 3, 21434227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, r: 1, c: 1, s: 1, x: 1}. What is prob of sequence rs?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/((-195)\/129) + 3. Is 0 >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 40*x**6 - 6933*x**3 + 655381*x**2?\nAnswer: 4800*x**3 - 41598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 530*m - 1050*m - 176*m.\nAnswer: -696*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u, 1 e, and 1 d when four letters picked without replacement from {u: 4, m: 2, a: 5, e: 2, d: 4}?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 9 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of r*y**3 - r*y - 5*r - 55*y**3 + 3*y - 5 wrt y.\nAnswer: 6*r*y - 330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/69 + 518378\/46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/7)\/((-102)\/21 - -5). Let j(b) = -4*b + 75. Let i be j(g). Calculate the highest common divisor of 135 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -87, -340, -755, -1326, -2047?\n\"Answer: w**3 - 87*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1104.29  (b) -1\/12  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -553 in -5, 1, -1\/4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 33547847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-22)\/(-55))\/((-2)\/(-20))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -22 + 31 + -8 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -31*k - 1. Let w be y(-1). Let z = -21 - -35. Suppose -3*u + 5*h = -37 - 38, -u - 2*h + z = 0. What is the greatest common factor of u and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -122211120012020222?\nAnswer: 122211120012020222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 - -13. Suppose -9 = -5*t + 3*l, 4*l + 4 = n*t - 3. Suppose -t*a = 3*k - 5*a - 16, 4*k - 5*a = 12. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 2  (c) 4  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -21085951*u**3 - 19*u**2 + 758759.\nAnswer: -126515706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00104792571 to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 823 - 832. Let b = -0.099849 - -9.091649. Let w = g + b. Round w to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + z = 2*z + 12, 2*g + z + 9 = 0. Let f(t) = 4*t**2 - 3*t**2 + t - 4*t - 3 + 0*t. List the prime factors of f(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*q + 2*q = -117 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 3*m + 2*i = -2, 2*m - 32 = 5*i. Suppose -3095 = -5*d - 5*z, 2*z - m*z - 3104 = -5*d. Let a be d\/(-48) + (-3)\/4. Which is smaller: -14 or a?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gee when three letters picked without replacement from {e: 12, g: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 56 = v, 0 = 5*h - v + 3*v - 294. Let d = -8 + 11. Suppose -u - 2*w = -6*u + 68, d*u = w + 40. What is the remainder when h is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11761 times 0.00987?\nAnswer: 116.08107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2. Let y be -1 - -3 - 0\/6. Let o(u) = -y*u - 6*u + 0*u - 6*u**2. Let q(c) = -2*c**2 - 3*c. Let r(l) = -3*o(l) + 8*q(l). Calculate r(f(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10\/11, -0.5, 269, 0.025 in ascending order.\nAnswer: -10\/11, -0.5, 0.025, 269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 16 = -3*f. Suppose u + f = 28. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(121) + sqrt(121)*4)*5)\/((sqrt(22) - 1*sqrt(22))\/sqrt(2) + sqrt(11) + sqrt(11)).\nAnswer: 25*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*b = -7*b - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2640 = -3613*u + 3533*u for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 299359 by -2761.\nAnswer: -299359\/2761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 + 0)*(2350*k - 16*k**3 - k**2 - 2352*k + 311 + 17*k**3).\nAnswer: 2*k**3 - 2*k**2 - 4*k + 622","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3346*s + 6667*s - 3325*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {n: 2, j: 1, g: 1, v: 1, r: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2308, -2065, -1822, -1579, -1336?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:22 PM and 11:55 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 743*x + 7. Let d be l(3). Let u be d\/14 + 10\/35. Suppose u = 5*h - 520. What is h rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 2*v. Let o(j) = -1776*j**2 + 88*j - 44. Let q(n) = 16*n**2 - 2*n + 1. Let d(b) = 2*o(b) + 88*q(b). Give d(z(u)).\nAnswer: -8576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10886*h - 3333.\nAnswer: 10886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/535364 and -23\/102102.\nAnswer: 1607698092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 158, 4 in descending order.\nAnswer: 158, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 58 is divided by ((-4)\/2 - -1)\/((-713)\/12834)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/((-4180)\/(-44))*155?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 5 - 2)*(2 - g**2 - 2 + (0*g**2 + 2*g**2 + 0*g**2)*(-5 + 2 + 2)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11042?\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 5308573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 121695\/22 + -5535. Find the common denominator of (510\/(-4))\/((-33)\/(-1)) and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-44)\/(-33))\/(5*70\/(-750)).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5079161?\nAnswer: 983, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**0)**(-10))**(2\/197) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -1  (b) -1\/12  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n**2 - n**4 - 6*n**3 + n**3 + 0*n**3 + 3*n**4 + 4*n - 3 to h*n**4 + f*n + b*n**3 + p + m*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/26940 and 181\/282870?\nAnswer: 565740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -3*n + 8, -14 + 2 = 5*g - 11*n for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 42647383 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (((sqrt(1584) - (sqrt(1584) + -2*1*sqrt(1584)) - sqrt(1584)) + sqrt(1584) - sqrt(1584) - sqrt(1584)) + sqrt(1584) - (-2 + -3*sqrt(1584)))*5)**2.\nAnswer: 4320*sqrt(11) + 633681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from gntxxux?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of -l**3\/3 + 9*l**2\/2 - 9*l + 2. List the prime factors of n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 1 + 1 - 27*o**3.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11461 * 168.8.\nAnswer: -1934616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -5*u + 1570, 3*u - 1178 = -3*n - u. What is the highest common factor of n and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4776 + 5755. Is 979 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = -4*g - 12, 2*o - 6*o - 2*g - 6 = 0. Let p(i) be the second derivative of 0*i**2 + 0*i**3 - i + 1\/20*i**4 + o. Factor p(f).\nAnswer: 3*f**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 10*a. Let n be f(-6). Let o be 2 + -1 + (-5 - -8). Let b = -7 - -11. Solve -o*c = 3*j + 3 + 25, -b*j - n = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*p - 1324 - 1339 + 2097 as u*p + g and give u.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 10354254 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 484*(-12)\/(-324) + -4*(-1)\/54?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1081.000713 + -1081. What is z rounded to 5 dps?\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 199 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the first derivative of 2*u**3\/9 - 61*u**2\/3 - 3015. Determine y so that x(y) = 0.\nAnswer: 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 76393.1 milligrams?\nAnswer: 76393100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 104073 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the first derivative of 4 - 1\/8*g**4 - 1\/12*g**2 - 2\/9*g**3 + 2\/15*g**5 + 1\/9*g**6 + 0*g. Suppose q(d) = 0. Calculate d.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51 - -82. Let k = 26 - m. Which is the second smallest value?  (a) k  (b) -6  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8 + -2. Let b = -6 + m. Solve b = 4*i - 2*q + 2, 3*q = -q - 20 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 118 - 113. Suppose 3*d + 7 = h*y, -y + 3*d + 8 = -3. Which is greater: y or -1\/90?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 447703355 to the power of 1\/2, to the nearest integer?\nAnswer: 21159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 5*u + 0*u + (1 + 1 - 3)*(1 - u - 1))*(24 - 13*u - 24).\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 34*s**2 + 3*s - 1. Let w be u(1). Suppose 10*q = 14 + w. Solve 23*x**5 + 10*x - 46*x**3 - 25*x**4 + x**3 - 9*x**q + 21*x**5 + 25*x**2 = 0 for x.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2823 (base 9) in base 10?\nAnswer: -2127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 6:24 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2533.\nAnswer: 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 11:05 AM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/13?  (a) 1\/4  (b) -0.1  (c) 2\/9  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x - 1. Let q be h(-6). Let b = 37 - q. Calculate the smallest common multiple of (-8)\/(-1 - 3\/(-6)) and b.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.05391  (b) 598  (c) 2  (d) 34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3046491687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -554897 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of -7*j**5\/12 - 5*j**3\/2 - 5*j**2\/2 + 29*j. Let c(m) be the first derivative of x(m). Find the first derivative of c(w) wrt w.\nAnswer: -70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -7*z**2 - 4*z - 1. Let p(i) = -6*i**2 - 3*i - 1. What is 4*p(w) - 3*s(w)?\nAnswer: -3*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 563496817 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b - 3*g = 59, 2*b = -4*g + 7*g + 64 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(88)*-5 + sqrt(88))\/sqrt(8))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 13563110893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 50 + -48. Solve 1 = l*y + g, -4*y = -5*y - g + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the third derivative of 8*x**2 + 0 + 0*x**4 + 0*x**3 + 1\/60*x**5 + 0*x. Let j(p) = 3*p**2. What is i(j(f))?\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -417*j - 6. Let n(y) = 418*y + 8. Calculate -2*n(v) - 3*w(v).\nAnswer: 415*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 4 - 1)*(2*h + 4 - 4) - 3*h + 0*h + 2*h)*(2476*h - 323 + 93 + 231).\nAnswer: 2476*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -3*b + 5. Let p be w(5). Let d be ((-6)\/(-10))\/((-2)\/p). What is the second derivative of -4*g**3 + 0*g + d*g**3 + 2*g wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*r - 337 - 1093 = 0. Let a be 11\/((2 - r\/(-132)) + -1). Suppose -7*k = -a - 240. Is k a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 4*n, 1 = -48*o + 52*o - 5*n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2410 = 5*k + 1715. Let l be ((24\/15)\/(-4))\/((-3)\/k). Is -112 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.365 minus 282.255?\nAnswer: -282.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7763, 15494, 23225, 30956?\nAnswer: 38687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = l + 52. Suppose 2*g + l = 4*u, 0 = u + 2*g + g - 17. Calculate the smallest common multiple of 3 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 156968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-28) - ((-130)\/(-40))\/(-13).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*i + 9018 = 713*i + 618*i - 12534 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*p - 1822 - 50 = 0. What is the remainder when 356 is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 10546259?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -87*h - 7. Let s(i) = -44*i - 4. Let q(j) = 4*k(j) - 7*s(j). Let v(t) = -2*t. Give q(v(o)).\nAnswer: 80*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -36*u + 130*u - z - 50 - 42, -3*u + 5*z = 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 7:41 PM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13.4 - 13. Let d(x) = 5*x + 4. Let o be d(4). Let k be 2\/(-11) + o\/(-110). Which is the nearest to k?  (a) -3  (b) p  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 3, 2, 0.071, -6, 0, -2\/3, 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 6*b - 66. What is s(-9)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.8, -1\/6, -4, -6\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112016 = -6*s - 112046 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2261 and 1064?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -116, -136, -176, -242, -340, -476, -656, -886?\nAnswer: -1172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*c = 569 + 311. Let t(o) = 2*o**3 - 109*o**2 - 55*o + 189. Calculate the remainder when t(c) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*v - 33*v = -25*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-734230)\/9255*(-6)\/(-4)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i. Suppose 17*x + 4*y - 40 = 13*x, 3*x + 4*y - 37 = 0. Let z(b) = -19*b**2 - 152*b. Determine x*z(t) + 456*h(t).\nAnswer: -57*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5242068, -5242097, -5242168, -5242299, -5242508, -5242813?\nAnswer: -5243232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1155 by 3.\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 8*w**3 + 217*w**2 + 251*w + 42. Determine i(-26).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8 = 2*f, -2*p - p - 6 = -4*f. Suppose -4*k = 2*d - 2, 5*d - 5 = -f*k + 2*k. Let v = d + 2. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 = -m + 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (1536*d - 1538*d + 38 - 139)*(2*d + 5 - 5) in the form r + c*d**2 + n*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 25 * -3794\nAnswer: -94850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(100)\/sqrt(2) - sqrt(50))\/((1*sqrt(55))\/sqrt(11)))\/(-2*sqrt(72)\/sqrt(4)*-6).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 42 (base 11) to base 7\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y**4 - 16*y**3 - y**2 + 16*y = 0. Calculate y.\nAnswer: -1, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -56, -44, 3283 in increasing order.\nAnswer: -56, -44, -2, 3283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from skkqssqskeseessse. Give prob of sequence kq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 - -4. Let z be l - (-26)\/(-7) - -2. Let c = 25 + -28. What is the second smallest value in c, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*v + 41*v - 6*v**2 - 22*v to the form q*v + y + o*v**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 166777159 divided by 3\nAnswer: 166777159\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 3*k**2 - 2*k - 4. Let v be y(-3). Suppose -2*b - 3 = -11, 4*b = -v*w + 8. What is the units digit of (-2)\/(-4) + (-26)\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 698 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8095 and 1517003?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -32208*n + 187. Let j(q) = 1039*q - 6. Give -187*j(w) - 6*t(w).\nAnswer: -1045*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 5  (b) -2\/7  (c) 7  (d) -5  (e) -249\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h - 4*h - 3*h)*(4*h**3 + 0*h**3 - 3*h**3) - 19*h**4 - 31*h**4 + 23*h**4.\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 43 + -6 + (47 - 37) + -17.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 18*j + 169*j + 582*j. Is d(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 2*y**3 - 14*y**2 - 2*y + 8. Give x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 100618 or 100616?\nAnswer: 100618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 12 = -4*p, 7*c - 4*c + 3*p - 9 = 0. Which is smaller: 2 or c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*31\/2 - 45\/(-90). Let x(p) = p**3 + 14*p**2 - 23*p - 11. What is x(s)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 41e6 + -5?\nAnswer: 41e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*q - 109 - 31. Find i such that 24*i**2 + i**4 - 6*i**4 + i**4 - q*i**2 + 36*i - 36*i**3 = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve p + 6*q + 130 = 0, -1016*p + 338*p + 333*p + 72 = -342*p - 4*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*k**2 + 2 - k**3 + 0*k**3 - 9*k**2 + 2 in the form d + f*k**2 + v*k**3 + m*k and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2011 - -12?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (62 + -3)\/(((-23)\/644)\/((-9)\/6)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 1 c when three letters picked without replacement from cczzccccc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -183 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.03, -1, -0.5, 0.4, -309050.\nAnswer: -309050, -1, -0.5, 0.03, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of z**2\/2 + 30. Let s(j) be the third derivative of -j**5\/15 - j**2. Calculate s(q(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5 - (25\/20)\/(2\/8). Suppose 0 = -w*x + x - 4. Suppose 3*g = -y - 11, -2*g - 55 = 5*y + 2*g. What is the closest to 1\/2 in y, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1808312 or 1808314?\nAnswer: 1808314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47 is divided by 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5115, 5665, 6581, 7869, 9535, 11585?\nAnswer: 14025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 67791059 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**0*q)**(2\/3)\/((q*q\/((q\/q**(-2\/15)*q)\/q))\/(q**(2\/11)*q*q))*((q*q**(2\/11)\/q)\/(q*q**(-1\/2)\/q))**(-9\/4) assuming q is positive.\nAnswer: q**(2351\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 20 = -0*h. Let x(c) = -c**2 - 5*c - 7. Let w(k) = 1. Let t(m) = -5*w(m) - x(m). Let j be t(h). Put j, -0.2, 0 in decreasing order.\nAnswer: 0, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + g**4 - 1)*(-2 + 0 - 7) - 3*g + 2*g**4 + 3*g.\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**2. Let i(m) = m - 866. Give i(w(s)).\nAnswer: -s**2 - 866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10223316 and 0.2?\nAnswer: 2044663.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y - 5*n + 63, n = 4*y - 23 - 114. Let z = 53 - y. Let w(v) = -v**2 + 20*v - 4. Let f be w(9). What is the highest common factor of f and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 3:26 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 15948295 and 22844855?\nAnswer: 845259635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -0*f. Let v be 1 + -2 - (-4 + f). Let c = v + 3. Solve -c = -w - w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 + 1\/(2\/(-1)) + 27\/(-18). Suppose 4*u - 4*v - 328 = 0, v + 149 + 188 = 4*u. Is (u - b)\/(-1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 + 18 + (-6 - 0) + -22 + 18 + -66\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5629*j**2 - 9*j**3 + 5629*j**2)*(-6*j + 2*j + 3 + 2*j).\nAnswer: 18*j**4 - 27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 0*g - 4*a = -106865, 4*a - 76323 = 5*g. Is -15271 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 2 - 2 + 4*w. Let s(l) = -5*l**2 + 8*l - 16. Let n(y) = -3*y**2 + 5*y - 10. Let d(m) = -8*n(m) + 5*s(m). Determine h(d(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/1*(-4 - 8\/(-4)). Let s(i) = 13*i**3 + 5*i**2 - 29*i - 11. Let g(u) = 6*u**3 + 2*u**2 - 14*u - 6. Let x(b) = l*s(b) - 5*g(b). Factor x(v).\nAnswer: -4*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s - 53 = 3*m - 105, -34 = -m - 5*s for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - -2)\/(((-1008)\/108)\/(-28)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 114.225 - 1.525. Let a = m - 111. Which is greater: a or -2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5a9 (base 12) in base 8?\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -o**4\/12 + 2*o**3\/3 - o**2\/2 - 2*o. Let x be k(4). Let y = x + 13. Calculate the highest common divisor of 4 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - -10) + 22 + -11 + -14.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**4 - 4*p**2 + 4*p**2)*(-2 + 0 + 3) - 86*p**2 - 5375*p**4 + 5384*p**4 + 8*p**2 + p**4 - 2*p**4 + 3*p**4 + (-p + 2*p + p)*(2*p**3 + 3*p**2 - 3*p**2).\nAnswer: 13*p**4 - 78*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -30457*h**2 - 378741*h.\nAnswer: -60914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.02, 0.1, 1\/497, -5, 49, 0.3?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24802?\nAnswer: 2, 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -136, -270, -404?\n\"Answer: -134*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -136 - -152. Let k(s) = s**3 - 14*s**2 - 33*s + 21. Let t be k(z). Solve 4*o - 9*o - t = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/11 - 547732*k\/11 - 19715760\/11.\nAnswer: -2*(k + 36)*(k + 273830)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/10)\/((-1342)\/3355)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(320) + -1 + 1))**2.\nAnswer: 11520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 1059 = 2241. Let k = 673 + f. Calculate the remainder when 700 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(-4) - 7\/((-140)\/(-135)). Let x(s) = 3*s**2 + 23*s + 17. Let t be x(h). Factor 0*l**4 - 6\/7*l**t + 0*l + 2\/7*l**5 + 0 - 4\/7*l**2.\nAnswer: 2*l**2*(l - 2)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-2\/85)*a)\/a**(3\/4))**(-18\/11) assuming a is positive.\nAnswer: a**(-63\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*l**4 - 40 + 2*l**4 - 101*l**2 + 20*l**3 + 1066*l - 56*l**3 - 1174*l + l**2.\nAnswer: -4*(l + 1)**2*(l + 2)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-27) + 15\/45\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 19043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 1. Let d(b) = 3*b + 2. Let v be 1*(6\/21)\/((-3)\/(-21)). Calculate v*l(s) - d(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12 - -15. Suppose 0 = -c*u - 16 + 88. Suppose -5*m - u = -7*m. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 168638812 to the nearest integer?\nAnswer: 12986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*n + 12391 = -49209. List the prime factors of n.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000441815 rounded to six decimal places?\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.3, 2, -60?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 566 = 5*c - 233, -q - 4*c + 264 = 0. List the prime factors of q.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.4, 3, 995 in ascending order.\nAnswer: -0.4, -0.2, 3, 995","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 13309192.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 3*x + 13, 0 = -4*u + 2*x - 40 + 38 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -12*o**2 + 170*o + 2. Let f be b(14). Solve 64*p + 272 = f*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 + (-252)\/(-24))*2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*m + 0*m + 2*m)*(3*m**4 - m**4 + 0*m**4) + 1 - 2*m**5 - 1 - 14*m**3 - 6*m**3 - 1 + 19*m**3 + 15*m**5.\nAnswer: 17*m**5 - m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103.1423 + -44876652.\nAnswer: -44876755.1423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -3*z**3 - 3*z**2 + z + 3. Calculate n(3).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**3 + 31*i**2 + i + 2. Give l(-31).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/11  (b) -217914.14  (c) 1\/7  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, s: 5, v: 3}. What is prob of picking 3 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 415, 830, 1247, 1666, 2087?\n\"Answer: y**2 + 412*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 17047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 473797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 6:18 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -39.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (91 + -85)*1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 - 12*x + 2 + 0*x**2 + 2*x**2)*(-x + 2 - 2).\nAnswer: -2*x**3 + 12*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 7*x**2 + 5*x - 15. Let v(j) = -j**2 + 1. Suppose 0 = -a + 1 - 2. Let c(p) = a*k(p) - 6*v(p). What is c(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 24 = -g, 3*b + 5*g - 83 = -21. Let h(u) = u - 3. Let j be h(-6). Let t = b + j. Solve -t*s - 6 = 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.4581 - -0.256. Let x = b - -0.206. What is x rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39817913207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 2*y**2 - 3*y + 3. Let k be d(3). Solve -o = -k*o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -979875 divided by 9?\nAnswer: -108875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6169193, 6169178, 6169163, 6169148, 6169133, 6169118?\n\"Answer: -15*l + 6169208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 5, s: 2, c: 7, l: 3}. What is prob of sequence lc?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 378 and 44\/(-11) + (-6 - -172).\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179250 divided by 376?\nAnswer: 589625\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 57, 213, 473, 837, 1305?\n\"Answer: 52*l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the first derivative of -p**5\/5 - p**4\/4 + 3*p**3\/2 - p**2 + 12*p - 17. Let a(z) be the first derivative of j(z). Find u, given that a(u) = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -158931.6 rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*g + 1076 = 876 + 3294. Suppose -h - p + 4*p + 21 = 0, 0 = -4*h + 2*p + 34. What is the remainder when ((-2)\/(-1))\/(h\/615) is divided by g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n + 5 + 15 = 0. Let x = n - -5. Let b be 5*(6\/15 + x). Solve -3*r - b*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -337*f**2 - 39*f + 9?\nAnswer: -674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 59*g**3 - 17*g - 4. Let y(f) = 30*f**3 - 8*f - 2. Let a(d) = -4*x(d) + 9*y(d). What is the second derivative of a(r) wrt r?\nAnswer: 204*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 19378.\nAnswer: 213158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6078900.\nAnswer: 2, 3, 5, 23, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**4 - 454*z**3 - 585028*z**2 - 86315496*z + 86900976 = 0. What is z?\nAnswer: -246, 1, 718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -43*b**2 + 2*b**3 + 1 - 12*b**3 + 44*b**2 - 2*b. Let n(w) = -w. Let j be n(-1). What is i(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 15*b = 5*b - 750. Solve -52*n + b + 22 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -592 (base 10) to base 9\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {w: 1, f: 3, q: 2, c: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (118\/(-8))\/((-60)\/2640) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h**2\/9 + 11*h\/3 + 2 = 0. What is h?\nAnswer: -6, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from zddddzeexzzzmzm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y**3 - 6*y**3 + 0*y**3 + (-2 + 2 + y**2)*(4 - 4 + 3*y))*(-24*y - 6*y - 2*y).\nAnswer: 192*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*u**3 + 3*u**3 + 97*u**2 - 97*u**2 + 16*u**3 + 4*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10217668?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 3*y**2 - 10*y + 17. Suppose -2*j + 4 = -a - 0, 5*j - 4*a - 4 = 0. Let o be c(j). Solve 0 = -6*w - 5 - o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 + -10. Let q be (-10)\/d - (-10)\/(-35). Let r be 0 + 10\/(-14) + 1. Is q <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3a77 + 322?\nAnswer: -3755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 98 * 641.102\nAnswer: 62827.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3005137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -539\/15 in -134, -2, -0.5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 1 - (-5 - -11 - 4) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 749843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 82, 588, 1968, 4660, 9102, 15732?\n\"Answer: 73*v**3 - v**2 - 2*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1111000101001100110 (base 2) in base 9?\nAnswer: 832801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -781640 rounded to the nearest one thousand?\nAnswer: -782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 0*u = -4*l + 8978, -7172 = -4*u + 2*l. Suppose 35*t = 38*t - u. List the prime factors of t.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 3*h**2 + 6. Suppose 0 = 12*f + 13631 - 36431. Suppose 0 = -2*j - 2*d + 1906, -2*j - 7*d + 2*d = -f. Let i(p) = 955 + 0*p - j - p. Calculate q(i(b)).\nAnswer: 3*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 4*j + 7 = 0, -4*j = -4*x + 6 - 2. Suppose 15 = 3*q - 3. Suppose 0 = -q*d + 2*d. Are d and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -5*d**2 + 8*d - 8. Let j(i) = i**2 - i + 1. Suppose -3 = 3*y - 2*y. Let q(b) = -b**3 - 3*b**2 + 18*b - 24. Let f be q(-6). Give f*j(g) + y*s(g).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 242, 1086, 3382, 7856, 15234, 26242, 41606, 62052?\n\"Answer: 121*r**3 - 3*r + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15475*z + 15407*z + 706 + 110 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j**3 - 15*j**2 + 2*j - 9. Determine s(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -136*h + 1142. Let g be y(5). Calculate the greatest common factor of 84 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find p such that -2*p**5\/5 - 486*p**4\/5 + 50784*p**3\/5 - 1086232*p**2\/5 = 0.\nAnswer: -326, 0, 34, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m**2 - 10*m - 5. Let t(f) = f. Let g(o) = -q(o) - 6*t(o). Let l be g(4). Is l\/10 - 4516\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 125 = -30. Suppose 4*b - 127 = -o. Suppose 0 = -6*w + 3*w + b. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157420449?\nAnswer: 3, 31, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c + 2*c - 12*c + 5*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**2\/7 - 148*t\/7 - 13800 = 0. Calculate t.\nAnswer: -138, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 divided by -6?\nAnswer: -131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*o - 4*o**2 + 6*o)*(-5 - 5 + 4)*(-24 + 9 + 17 + 4*o).\nAnswer: 96*o**3 + 48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 + -0.2. Let b = -1 - -3. Let t = 2604 + -2606. What is the closest to i in 0.3, b, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -9*s + 2. Let p(w) = 9*w - 2. Suppose k = c + 9, -2*k + 5 = 3*c + 2. What is k*z(m) + 5*p(m)?\nAnswer: -9*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 518\/5 - 103. Let -3\/5*j - 6\/5 + k*j**2 = 0. What is j?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:47 AM and 11:33 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2 + 2 + -1 + 1. Suppose 354 = -2*c - 3*h, 2*c - 4*c - z*h = 350. Let k = c + 316. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27095 is divided by 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 11*n**3 + 15615*n**2 - 528624*n wrt n?\nAnswer: 66*n + 31230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14995, 15017, 15045, 15079, 15119?\nAnswer: 15165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -4*w + 18. Calculate the common denominator of 5\/8 and w\/16 - 5\/(-20).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 2*s - 6. Let v be c(12). Let y(m) = -35 + v - m + 18. Calculate y(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*x - 51*x + x.\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -55, -223, -489, -841, -1267?\nAnswer: -1755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 32\/3*3\/(-6)*-6. Let m = c - 42. Let b be (-2 + m)\/(4 - (-57)\/(-12)). Calculate the greatest common divisor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5979101 is divided by 257.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 841 - 4612*l - 841.\nAnswer: -4612*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -317 + 83. Let s = q - -556. What is the highest common factor of 46 and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13024 is divided by 128.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4554)\/(-4) + (-5)\/(10\/(-6)). Let f = 1163 - r. Is 23 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i + 16 = 60 + 1 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, p: 2, s: 1, b: 1}. Give prob of picking 1 n, 1 p, and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**2 - 1877877*w - 3755766.\nAnswer: 3*(w - 625961)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 132191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2. Let t(j) be the third derivative of -19*j**5\/60 + 3*j**3 + 1400*j**2. What is l(t(n))?\nAnswer: 722*n**4 - 1368*n**2 + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 16) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 + (25 - (-31 - -57 - -4))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1553318198 to the power of 1\/3, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26732 + 4305. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1572 (base 10) to base 6\nAnswer: 11140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64 + 64. Solve 4*j + 14 = -2*v - a*v, 0 = 3*v - 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 53365905 divided by 1976515\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -0.1, -2\/9 in ascending order.\nAnswer: -2, -2\/9, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-5)\/2)\/(2\/(-12)). Let f be (-4)\/5*w\/(-6). Find the second derivative of 2*p - 5*p - 2*p**f + 5*p wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r**3 - 15*r**2 + 42*r**2 + 2*r - 9*r**2 - 16 - 19*r**2 + 0*r**3 in the form s*r + i*r**2 + o + j*r**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*u + 44, 0*u - 4*u + 79 = f. Suppose 18*y - 19*y = -u. What is the remainder when 35 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13852435 is divided by 451.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5*54\/15*1. Let j be (-1015204)\/p - 6\/(-27). Let i be j\/1*(-50)\/(-6). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the second derivative of 123*b**4\/4 - 618*b**2 + 127*b. What is the first derivative of n(s) wrt s?\nAnswer: 738*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = 7*r - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.07951 - -0.04951. Sort 3, 0.2, 1\/2, 2\/3, f in decreasing order.\nAnswer: 3, 2\/3, 1\/2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3454\/26 + 3 - 10\/(-65) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 34*r - 106. Suppose -2*p = -29*p + 567. What is the units digit of y(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -105126, -210243, -315360, -420477?\n\"Answer: -105117*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of 1\/12*k**4 - 9\/2*k**2 - 4\/3*k**3 + 0 + 26*k. Let l(x) be the first derivative of s(x). Give l(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2. Let a(o) = 2990*o**2 + 195*o + 195. Let v(d) = 61*d**2 + 4*d + 4. Let b(x) = 4*a(x) - 195*v(x). Determine b(w(u)).\nAnswer: 65*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(60) - -2*sqrt(60)) + sqrt(60))*6)\/(sqrt(540)\/sqrt(5)).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -153149\/14 - -22181\/2. Let k = -151 + t. Let l = 0.71 + -0.75. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 42 + 57 + (-30 - 29).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4 + (-28)\/6)*(-60)\/(-40). Which is the nearest to -2\/9?  (a) 5  (b) -4  (c) 1  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-6)*30\/75*-9*504\/216.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 - -18. Let u(h) = -364*h + 731. Let c be u(2). Solve -4*o = -k + 5, -b + 2 = 3*k - c*o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1707767733?\nAnswer: 3, 7, 23, 3535751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = c - 10 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17508 and 140064.\nAnswer: 140064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2550, -0.3, -0.4.\nAnswer: -2550, -0.4, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -30 (base 6) to base 7.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 944 and -1.088669.\nAnswer: 942.911331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 21, 29, 37, 45, 53?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 7*s + 15 = -5*l, 0*l + 6*s - 268 = 2*l - 262 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -100.14 - -100. Let g = q - -0.013. Let c = -0.073 + g. Is c < 2\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 + 11*o + 3. Let b be w(-11). Suppose 19 - b = 2*s. Calculate the smallest common multiple of s and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4814, -9629, -14458, -19307, -24182, -29089, -34034, -39023?\n\"Answer: -b**3 - b**2 - 4805*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 3109 + 0*i**2 + 2*i**2 + 6*i**2 - 3207 as b*i**2 + l + y*i and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 + -9. Suppose 5*d - r*d = 5. Solve j = 2*v - 6*v - 18, -d*j = 3*v + 22 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 372 is divided by 166?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4 + (sqrt(12)\/sqrt(100))**2).\nAnswer: -97\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 94*h - 595. Let x(n) = 19*n - 119. Give 2*f(b) - 11*x(b).\nAnswer: -21*b + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1240441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 324 and 79006752?\nAnswer: 79006752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1527 minus -251?\nAnswer: -1276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 529526.\nAnswer: 2, 264763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 5, -5, 3, 628 in descending order.\nAnswer: 628, 5, 4, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8208581*w - 8208581*w - w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/14 - (-1040)\/182. Solve g = 3 - w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is dc40 + 5?\nAnswer: dc45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3215?  (a) -26\/29  (b) 2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26, 21, 40, 95, 198, 361?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 48114*m**4 - 2*m**3 - 216196*m wrt m.\nAnswer: 577368*m**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 81543059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 - 32?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**12\/(w*(w*w\/(w**(-31)*w)*w)\/w)*(w\/w**(-11\/3)*w*w)\/(w\/((w\/w**33)\/w)*w) assuming w is positive.\nAnswer: w**(-148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 47, 0, -8 in descending order.\nAnswer: 47, 4, 0, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -234924, -234902, -234880, -234858, -234836, -234814?\n\"Answer: 22*z - 234946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1400\/(-21))\/(-10)*13\/((-104)\/12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 150907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/12)*m\/m**6)\/(((m*m**5)\/m)\/m*m*m*m**5)*((m**(2\/7))**(5\/14))**9 assuming m is positive.\nAnswer: m**(-8917\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2 + (6\/(-16))\/(4\/48). Which is the third smallest value?  (a) -0.1  (b) 0  (c) y  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/9  (b) -2  (c) -0.7  (d) 2  (e) -1  (f) 99\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1896 divided by 948\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 132 + 31?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y + 5*s + 25, -8*s - 20 = 3*y - 4*s. Suppose y = -8*v + 13*v - 345. Suppose 0 = 5*q - v - 231. Calculate the highest common divisor of 80 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -i**4*v - 21*i**4 - 2*i**3*v - 1089*v wrt i.\nAnswer: -4*i**3*v - 84*i**3 - 6*i**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**2 - 3*d**2 + d**2 + 3*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(5*(-3 + (sqrt(27))**2 + sqrt(3) + 2) + (sqrt(9) + (2*sqrt(1296) - sqrt(1296)) + sqrt(1296))\/(sqrt(576)\/sqrt(12))).\nAnswer: 45*sqrt(3)\/4 + 130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -114, -124, -134, -144, -154?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*n = -79*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 994 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c9 + 5d?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 + 385903308*i + 18615170390667858.\nAnswer: 2*(i + 96475827)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1016, -6488, -20894, -48704, -94388, -162416, -257258, -383384?\nAnswer: -545264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1026 and 5339.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 28236 and 41044284?\nAnswer: 2172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*p**2 - 2*p**2 + 4*p**2)*(-p - 4*p + p) - 4*p**3 - 4*p**3 + 7*p**3.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 31a4d (base 16) to base 12\nAnswer: 99811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1002020120022 + -10?\nAnswer: -1002020120102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (150\/12)\/(-1)*(-11)\/((-330)\/(-12)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide (-185)\/(-2)*15502\/337?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 765 and 1071.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express b**3 + 3*b**3 - 7*b**3 + b**3 - b**3 - 4*b**3 + (-3*b + 2*b + 3*b)*(-34*b + 8*b**2 + 34*b) in the form r*b**3 + p + g*b + n*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 5*l**3 + 3679*l**2 - 8138*l - 14787. Calculate x(-738).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 4:55 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 44\/5 of a decade?\nAnswer: 1056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*a + 22*a + 18. Suppose a*h = -17*h - 19. Is -3\/46 greater than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 5*y**2 - 5*y - 3. Let t(j) = 1. Let o(w) = 3*t(w) - z(w). Let i be o(6). Suppose 5 = q - i. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 - (-2 - (0 + -1)). Suppose q*v = -0*v + 40. Let x(m) = m**2 - m - 1. What is the remainder when x(-4) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -377, -759, -1143, -1529, -1917?\nAnswer: -2307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 3*w - 0*w + 4*z, -5*z = -w - 8. Suppose w + 2 = g. Suppose -5*q + 93 - 70 = k, 6 = 2*q + 2*k. Solve -4*y - 5*m - g = 0, y + 0 = -q*m - 21 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20416 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 10 = -a, -a + 4*s - 1 - 7 = 0. Let q be a\/(-22) + (-205)\/(-825). Let f be (-4 - (-3)\/1)\/(-1). Is q greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -3*x**5\/5 - 3*x**4\/4 + 3*x**3 + 3*x**2\/2 - 6*x - 8. Factor z(c).\nAnswer: -3*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 3*n. Let y(m) = 3*m - m**3 + 0*m - 32*m**2 - m**3 + 0*m**3 + 35*m**2. Determine 6*s(v) - 4*y(v).\nAnswer: 2*v**3 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -129\/7 in -9, 25, -0.09, -1\/5, -2\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/7 - (20404\/(-28) + -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/35 in 0, -0.013, 0.2, 4\/3, -2?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 3*g + 3*q + 16, -3*g = 5*q + 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 819 less than or equal to 802?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -3*p. Let u = 0 + p. Which is bigger: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 485 - 54 = 5*q, -5*l = 2*q - 693. Let o = l + -94. Let n(d) = d + 3. What is the remainder when o is divided by n(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -16*g + 92. Let z = 64 - 44. What is the third derivative of 35*a**4 + z*a**2 - 25*a**3 + g*a**2 + 25*a**3 wrt a?\nAnswer: 840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -7*u - 13. Does 9 divide v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2192*s + 13*s**3 - 2192*s.\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 11\/911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100 (base 3) in base 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -575*c + 81 + 847*c + 6089*c + 30.\nAnswer: 6361*c + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 0, -3, -3\/2, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tbnbattkjbjjtnt. Give prob of sequence ka.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17850\/2940)\/(140\/3136).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 191638.3ug?\nAnswer: 191638300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 39*q**2 - 351*q + 34. Is x(-26) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Is 72 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 l, and 1 a when four letters picked without replacement from cllalaaxlc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3724*c**2 + 7451*c**2 + 60*c + 8 - 3731*c**2.\nAnswer: -4*c**2 + 60*c + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 6*x**2 - x + 8. Let q be v(6). Suppose -3*t - q*t + 15 = 0. Let d be 3 + (t - (-2 + 11)). Is -3 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7003 (base 8) in base 16?\nAnswer: -e03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -72 + 6*c + 5*c - 2*c - 3*c. What is the smallest common multiple of j(28) and 8?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(1\/5)\/(d*d**19) assuming d is positive.\nAnswer: d**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -2*t - 14, 5*p + 8 - 13 = -3*t. Let l(m) be the first derivative of 0*m - 1\/22*m**p + 20 + 4\/33*m**3 - 1\/11*m**2. Factor l(c).\nAnswer: -2*c*(c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of 1\/6*w**4 + 0 - 3\/2*w**2 - 2\/3*w**3 + 10*w. Calculate z(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, g: 2, w: 1, r: 1, m: 2, a: 1}. What is prob of sequence mt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -6409.61, 0.5, -0.4, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 98 = 5*y, 0 = -y - 4*y + 10. Let i be 66\/10 - (-30)\/(-50). Let l = 3 + i. Calculate the greatest common divisor of l and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c*((c**(-5)*c)\/c)\/c*c)))\/c)**(-2\/185)*c**9\/(c*c**20) assuming c is positive.\nAnswer: c**(-442\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is g in 5\/3 + 5\/3*g**2 - 10\/3*g**4 - 9\/2*g + 1\/2*g**5 + 4*g**3 = 0?\nAnswer: -1, 2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 * -185\nAnswer: 1850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**3 - 4*r**2 + 5*r - 4. Let z be b(3). Suppose 3*x - 21 = -3*y, -z*y + 4*x = x + 11. Solve 4*n = m + 2, 0 = 6*n - y*n for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63603*h**2 + 127383*h**2 - 63780*h**2 - 5*h**3 - 4*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28 + -29. Which is the closest to 1?  (a) -2\/13  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the second derivative of 11\/9*h**3 + 6*h - 5 - 121\/3*h**2 - 1\/72*h**4. Find r, given that u(r) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -278, -564, -858, -1160, -1470, -1788, -2114?\n\"Answer: -4*w**2 - 274*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 245c - 696?\nAnswer: 1cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(539)*-4)**2 + 5.\nAnswer: -34491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 87408750 divided by 7946250\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 10973*f + 653. Is z(1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 64\/11 + (-2)\/(-11). Calculate the common denominator of (-1)\/q*(-261)\/(-10) and 9 + (-722)\/48 + 1\/(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 26*g**4 - 2*g**3 + 58*g**2 + 4. Let d(q) = q**3 + q**2 - 2. Let w(f) = -2*d(f) - t(f). What is the third derivative of w(p) wrt p?\nAnswer: -624*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 smaller than -15359\/2507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 249988144 and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -685 = -5*b + 42*t - 37*t, 0 = 4*b + 5*t - 539. Calculate the remainder when b is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -19, 1, 5 in descending order.\nAnswer: 5, 1, -0.4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*i = -68, 0 = -5*c - i - 156 + 8. Let w be (-12)\/c + (-6)\/(-10). Let s(j) = w + 2*j + 2 - 3. Determine s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400918.5 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10175\/(-1110)*6\/(-10))\/((-11)\/(-220)).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4452 and 44436?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t - t + t)*(-2 + 4 - 3) + (4 - 4 - 2)*(2 + 3*t - 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the first derivative of -s**6\/24 + s**5\/20 + 3*s**4\/16 - 5*s**3\/12 + s**2\/4 + 385. Factor u(g).\nAnswer: -g*(g - 1)**3*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -2\/7, 1\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*c - 29 = 5*x, -3 = x - c. What is the smallest value in x, -3, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 - -4. Suppose -4 = 3*y + h. Let o be ((-2)\/y)\/((-21)\/(-12)). What is the closest to 2\/5 in o, 0.2, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 115 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4.228 + 4.628. Let h = -0.01 + 0. Which is the closest to 3?  (a) h  (b) -0.1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 196916.9 + -196917. Let b be ((-5)\/29 - 0) + 0. Is b at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1539) + -3 + sqrt(1539) + -3)**2*6 + -1*(sqrt(1539)*1*-1 - sqrt(1539)).\nAnswer: -1278*sqrt(19) + 37152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 46894, 93801, 140686, 187537, 234342, 281089, 327766?\n\"Answer: -2*f**3 + f**2 + 46918*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - -49590.34\nAnswer: 49589.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffkkfwkkkkfww?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78555066 is divided by 802.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8365 = 14*x + 21*x. Let w = -232 + x. What is the remainder when 20 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 4*c + 4 = 0, 10 = 5*j - 3*c + 13. Solve -2*i - 5*h + 8 = j, -5*h + 7 = -4*i - 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p + 1. Let k(m) = -4*m - 7. Give -2*k(x) - 14*u(x).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-2 + 7)) + (-2 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*r + 10. Let d = r - 10. List the prime factors of -41*d*(-1)\/3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -54*a + 9. Let p be w(3). Let m = 153 + p. Determine h, given that 3\/4*h - h**2 + 1\/4*h**3 + m = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, -2, -5, 11, 39 in ascending order.\nAnswer: -5, -3, -2, 1, 11, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -6*c**3 - 19*c**2 - 36*c - 41. Let t(u) = u**3 + 4*u**2 + 7*u + 8. Let x(k) = -2*i(k) - 11*t(k). List the prime factors of x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14335?\nAnswer: 5, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 12:28 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(8\/(-34)*(-85)\/30).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-3))\/(-1*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 6, f: 3, x: 8}. What is prob of picking 4 k?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 102\/27 - 2\/(-9). What is the derivative of -1 + 5 + 0*f**4 + 3*f**4 + 4*f**b wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-1\/5)*j*j*j*((j\/j**(-1\/6))\/j)\/j assuming j is positive.\nAnswer: j**(59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 8*r - 12. Let b be d(10). Suppose b*c - 13 = 3. Solve 0 = -c*w + q + 10, -w + 3*q + 5 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.312 + 0.16. Let v = h - -0.152. Which is the closest to 0.1?  (a) -3\/4  (b) 2\/11  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence omon when four letters picked without replacement from {o: 2, m: 2, n: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) -2  (b) 2  (c) -42  (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.37?  (a) -0.5  (b) 8\/7  (c) -72  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7177*s - 8368. List the prime factors of d(-7).\nAnswer: 3, 17, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*x + 16 = 0, 4*o - 19 - 9 = 4*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = 4*b + 3. Is 9\/b*762\/(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l + 12*l + 6*l to the form q + p*l and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 493\/145 - 4\/10. Let r(j) = 8*j - j**c - 10 + 3*j - 6*j**2 - j**2 + 10*j**2 - j**2. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 4*r. Suppose -2*i - 14 = 3*o, 0 = 2*o + 3*o + 5*i + 30. Let l be 3 + -4 - o\/2. Solve 2*m + r*m = l for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 less than 0.03669?\nAnswer: -4.96331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 2*o**2\/5 + 3124*o\/5 - 3126\/5 = 0?\nAnswer: -1563, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7886800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 2 = -p. Let f(s) = 4 - 3 - s**p - 8*s + 6. Let k be (4\/(-6)*(-855)\/2280)\/(((-10)\/(-72))\/(-5)). What is f(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 536 and 6964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 0.2  (c) 24  (d) 4  (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000034602721 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2 + -3)*(-2 - 0). Suppose -2*l = h*d, 3*l - d - 2*d = 0. Which is smaller: 5\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100102 - -21111001?\nAnswer: 21010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-4))**(-9)\/((l*l**(-2\/43))\/(l\/((l*l**1)\/l*l*l)*l)) assuming l is positive.\nAnswer: l**(1464\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -891549 times -5?\nAnswer: 4457745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**4\/9 - 8*k**3\/3 - 34*k**2\/9 + 32*k\/3 + 104\/9 = 0.\nAnswer: -2, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -718429\/88424 - 2\/11053. Let y = -9699\/7 + 1383. Calculate the common denominator of y and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 74 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4\/5, 0, -10, -15\/11, -1\/6 in descending order.\nAnswer: 1, 4\/5, 0, -1\/6, -15\/11, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d + 2*d + 0*d + 2*d + 0*d - 4*d + (d - 2*d - d)*(-1 - 3 + 1).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 7*o - 9*o - 8*o**2 + 4*o**2 + 2*o. Let h(q) = 145*q. Give h(j(w)).\nAnswer: -580*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = k - 88 + 94, -5*s - 37 = 2*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -45 + 124. Let p = 114.263 + -35.181. Let g = u - p. What is g rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -7*x**4\/12 - x**3\/6 - x**2\/2 - 56*x + 2. Let u be ((-3)\/(-6))\/(1\/8). Suppose 8 = -u*a + 4. Calculate r(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 240714571?\nAnswer: 240714571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*i - 147 + 57. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 PM and 8:37 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - 7*r. Suppose 0 = -r*x - 3*x + 150. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -2310, -10, -3, 1, -1 in descending order.\nAnswer: 1, 0, -1, -3, -10, -2310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - q. Suppose 4*l = 5*j - j - 20, l = -4*j + 15. Let i(p) = p - 1. Calculate l*d(y) - 2*i(y).\nAnswer: -y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 24*h**2 + 71*h - 71. Give c(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02201166 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the first derivative of 3*j**4\/2 - 3*j**3\/2 - 27*j**2\/4 - 3*j - 21. Factor t(c).\nAnswer: 3*(c - 2)*(c + 1)*(4*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38969373 is divided by 548.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 29, 3, -6, 0 in descending order.\nAnswer: 29, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s = 25*s - 10. Solve 6*z = s*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 5:33 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/15)\/(((-85)\/(25160\/(-111)))\/((-3)\/2)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the third derivative of -w**7\/630 - w**6\/120 + w**4\/18 - 169*w**2. Factor n(f).\nAnswer: -f*(f - 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2\/17 - 5103252*l\/17 + 3255397621938\/17.\nAnswer: 2*(l - 1275813)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/528 and 25\/9174.\nAnswer: 73392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 1. Let o(v) = 2. Let a(m) = 3*j(m) - 2*o(m). Let g(q) = q - 1. Determine 3*a(t) - 2*g(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3*y - 3)*(-y + 5*y - 5*y - 1).\nAnswer: -3*y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1821, -1682, -1345, -726, 259, 1694?\nAnswer: 3663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**3 + 30*p**2 - 26*p + 1. Let g be (-3)\/(-1) + (6\/(-3) - -28). List the prime factors of q(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -dd879 (base 16) to base 10.\nAnswer: -907385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*y - 22 = 0, -3*t - t = 2*y - 28. Let u = -6 + t. Suppose -852 = k + 2*a, u*a = 3*k - a + 2592. What is k rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 3548*n + 345. Give b(0).\nAnswer: 345","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 32*v + 13*v + 3 in the form a + u*v and give u.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 232974037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8029479 to the nearest integer?\nAnswer: 2834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 67 and 18157.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 176 is divided by 36?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(-18\/7)*h**(-33)*h)\/(h**(1\/43))**(-2\/81) assuming h is positive.\nAnswer: h**(-794110\/24381)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1847, -1, 1 in decreasing order.\nAnswer: 1847, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence onon when four letters picked without replacement from {o: 3, n: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -69721 + -1.1\nAnswer: -69722.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 2*t + t)*(-5 + 24 - 4) - 2 + 2 - t + t - t + 2*t + (3 - 2*t - 3)*(4 + 0 - 2) + 0*t - t + 2*t.\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26850 + -26849.8. Let d = 7 + -6. Let g be (16 - 10)*d\/15. What is the fourth smallest value in t, 3, -2, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 253049?\nAnswer: 253049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -15.8 + 13.77. Let r = 0.03 + o. Which is the smallest value?  (a) -5\/4  (b) 0.2  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 11 = f, -d - 81 = -4*f - 65 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -158\/22839?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**4 + 3*w**4 + 0*w**4)*(-9*w + 6*w - w).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 98304*b**2 + 91402*b.\nAnswer: 196608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -79 + 168. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 123186 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 2596.3568056 to 2 dps.\nAnswer: 2596.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2121 a factor of 15158787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2 and 33575321998.071.\nAnswer: 33575321996.071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of -p**6\/120 - 21*p**5\/10 + p**4\/24 + 21*p**3 - 10642*p**2. Factor q(b).\nAnswer: -(b - 1)*(b + 1)*(b + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.5  (b) -12375  (c) 12  (d) 5  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 537*z**2. Let b(n) = 2*n. Determine d(b(c)).\nAnswer: 2148*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/4*2\/((-10)\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 240 = -9*x + 8*x, 0 = -5*x + 3*h + 1164. Calculate the greatest common divisor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.586 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 22700  (b) -9.5  (c) -0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 484, 479, 470, 457, 440, 419, 394?\n\"Answer: -2*p**2 + p + 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/3)\/((o\/(o*o**(-2\/3)))\/o))\/(o**1)**5 assuming o is positive.\nAnswer: o**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 172947 is divided by 376?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 AM and 1:51 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1098557 is divided by 25.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58*x = -138*x + 57*x + 139. Suppose 0*p = -p + 3. Suppose 2*l + 13 = p*l. Solve 3*r + l = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**3 + 4*b**2 + 3*b - 4. Let a be x(4). Let m be ((-2)\/8)\/((-2)\/a). Let u = 173 - 172. What is the greatest common divisor of u and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58 - -62. Let b = 49 - 50. Let v(c) = -c**3 + c - 1. Let a(x) = 3*x**3 + 4*x**2 - 7*x + 4. Let r(d) = b*a(d) - 4*v(d). Determine r(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 4*y - 3*k - 26, -y - 1 = k. Suppose -2 = y*q + 2*u + u, -3*q + 4*u = -11. What is the derivative of -6 - 7 + 7*n - q - 1 wrt n?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4039 > -4045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the first derivative of b**7\/126 - b**6\/90 - 3*b + 1. Let u(c) be the first derivative of f(c). Factor u(y).\nAnswer: y**4*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 19. Let m = 74 - 65. Solve 2*x - 2*d = x - m, -3*x + y*d - 23 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-256)\/(-320))\/((-1)\/(-15*(-104)\/24))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 950739548?\nAnswer: 2, 11, 4231, 5107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -164 - -168. Is 10301 + 3*(f + (-80)\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3238346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 206 (base 9) to base 4\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 6\/1397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 38729073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, k: 6, o: 1, x: 3}. Give prob of picking 2 e.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2010221 + 0?\nAnswer: -2010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ghhh when four letters picked without replacement from {a: 3, h: 4, g: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*i + 9 - 33*i - 3 with respect to i.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 634, 2160, 4572, 7864, 12030?\nAnswer: 17064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.51 - 1.01. Let g = -22.83 - -1.83. Let w = -92 - -646\/7. Which is the fourth biggest value?  (a) 0.4  (b) g  (c) w  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 3:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 3*v + 80. Let r be (-543)\/21 + (-2 - 52\/(-28)). Let h be m(r). Factor -345*a**2 + 2*a**5 - 7*a**4 + 3*a**5 + 15*a**3 - 8*a**4 + 340*a**h.\nAnswer: 5*a**2*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 AM and 11:12 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and -505194855763?\nAnswer: 505194855758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.71182 - -143028.71182. Let p = u - 143027.900006. Let z = 0.9 + p. Round z to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2410916?\nAnswer: 2, 602729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -76\/6675 and 55\/712?\nAnswer: 53400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 375*p**2 + 10*p - 26097.\nAnswer: 750*p + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -1 - ((-1050)\/(-265) + (-18 - -14)).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.11123 to 2 decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 divided by 179486.\nAnswer: 9\/179486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2850512 to the nearest integer?\nAnswer: 1688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**4\/2 - 13679*v**3\/2 - 13681*v**2\/2 + 13679*v\/2 + 6840 = 0.\nAnswer: -1, 1, 13680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.26 - -60.\nAnswer: 60.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kukkukk?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 14 divided by -7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8128 + -8225 + -3 + 171.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 - 12*s - 30. Let x be m(-10). Is (-55388)\/x + (-15)\/(-75) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 122961 is divided by 40976?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {n: 3, e: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.8 + -0.2. What is the second biggest value in h, 13, -0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 2 - 4 = 0. Suppose i*o = 6*o - 60. What is the highest common divisor of o and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 2, d: 4, e: 1, s: 7}. Give prob of sequence dsr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 - -1. Let s = -351 - -348. What is the closest to 2 in 0.5, o, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-2))\/((-1)\/6). Let w(b) = -5*b**3 - 5*b**2 - 4*b - 3. Let k be w(y). Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*u - 134 + 25 = -9*c - u + 3*u, 45*c = -5*u + 470 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 265.\nAnswer: -4\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.8 - 1.8. Let f = -43\/7 - -6. Which is the biggest value?  (a) y  (b) -0.4  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + (sqrt(133) + sqrt(133)*-1)*5 + sqrt(133)*-1*6 + sqrt(133))\/(sqrt(847) + 2*(sqrt(847) - -1*sqrt(847))).\nAnswer: -4*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 11?  (a) -2\/19  (b) -0.4  (c) -8201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + (-26 + 21 - 23) - (7 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 5*d = 1250, 3*c - 6*d = -8*d + 3767. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 799 + -798. Put 21, 5, u, 3 in decreasing order.\nAnswer: 21, 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*l + 21 = 0, 2*h + 2*l - 2 = 10. Suppose k - 2*p - 21 = p, 47 = h*k - p. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-141)\/(-90) + 30\/(-225)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2538*t - 3. Let l be o(1). Let c = -607 - l. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 2*l**3 - 2*l**2 + 3338*l + 6691. Give q(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3335*r**3 + 569*r + 18*r**4 + 16*r**2 + 3336*r**3 + 5248*r + 99*r**4 wrt r?\nAnswer: 1404*r**2 + 6*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*y**4 - 19*y**2 + 5*y**2 + 2*y**3 - 4*y**3 + 2 + 4*y**3 to the form a*y**3 + c*y**2 + r*y + k + j*y**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1556 - -1599. Which is the nearest to -1?  (a) 5  (b) -0.5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 146977039?\nAnswer: 11, 3547, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26 + 29.6. Let c = -58.4 - -58. Let h = c - u. What is the closest to 4\/7 in h, -3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -3*y**6\/5 + 6*y**5\/25 + 7*y**4\/5 - 4*y**3\/15 - y**2 - 2*y\/5 + 16. What is p in o(p) = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -14\/505 and -17\/707.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 12.8676445.\nAnswer: 25.735289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 312176269 to the power of 1\/2, to the nearest integer?\nAnswer: 17669","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 23000952050 rounded to the nearest one million?\nAnswer: 23001000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.128731 and 18.1?\nAnswer: 18.228731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 2*n = -18. Let q be (2 + 14\/n)*-15. Let w = -4 + 7. Solve -w*p + q = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8277, -8281, -8283, -8283, -8281, -8277, -8271?\nAnswer: -8263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-23)\/((-621)\/126)*3*3\/(-6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7085 + 7087. Solve 4*a - c*q = 8, 2*a + 5*q + 14 = 6*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/1243 and 53\/10538.\nAnswer: 1190794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 = 4*v - 5*q, 1352 = -4*v + 4*q + 1344 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 40*y - 3*c + 151, 35*y - 36*y + 19 = -5*y - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 416 is divided by 69.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.94 + -0.94. Which is the nearest to -1\/3?  (a) 8  (b) 4\/5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 464645973 to the nearest integer?\nAnswer: 21556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + -2 + 53 - 3\/(-3). Let q = 49 - i. Which is the third biggest value?  (a) 18  (b) 3\/4  (c) q  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 - 65. Let l = -4 - s. Suppose l = g - 3. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*n + 77*n = -64*n + 1188 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/((1\/(-2))\/((-9)\/(-180))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 16\/(-12)*3\/10*(-15)\/8. Which is the closest to 2\/9?  (a) x  (b) 0.5  (c) -9  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -3*p + 15, -8*p - h = -5*p - 7. Suppose 10 = 5*g, g - 3 = -o + p. Solve -4*x - 8 = o*c, 0 = -4*x - c - 1 + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 793748915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1cb5a9 - 75?\nAnswer: 1cb534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -35468 > -442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of 106 + 0*d**2 + 0*d - 10\/3*d**3. Let p(w) = w**2. Give p(f(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 154\/(-63) + 5\/(-45)*-4. Let q be j\/((-7)\/(-14) + 0). Put -7, q, 5 in decreasing order.\nAnswer: 5, q, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -0.3  (c) -8.0127  (d) -15  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-19 - 255\/(-15))\/(2\/(-6)*2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**2 + 13. What is the remainder when 34 is divided by w(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -105 + 170. What is the remainder when n is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -674\/117 + 229\/39. Let i(h) be the second derivative of 18*h + 1\/27*h**4 - 1\/45*h**6 - 1\/45*h**5 + r*h**3 + 1\/9*h**2 - 1\/189*h**7 + 0. Solve i(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2106 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 9*t**2 - 10 - 5*t**2 + 13 - 2*t. Let y be f(2). Let w = -15 + y. Solve w = d + 3*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*w + 23 = 14*w. Which is greater: 21\/25 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -14*q + 1. Let x be o(1). Let m be (675\/10)\/5 - 1\/2. Let f = 0 - m. Do f and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2016 from 8.3.\nAnswer: 2024.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-10)\/(-15))\/(2\/15). Let x be m*(4 + 69\/(-15)). Let p be (-5 - -2) + x + 7. Solve -4*h = 3 + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 4*o - 12 = 0, 4*o - 119 = 3*s - 117 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2582\/3  (b) 2\/3  (c) 5  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238 = 9*y + 256. Which is the third smallest value?  (a) 4.7  (b) 2\/5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 46 - 46. Suppose -5*g + 2*s + 3484 = a, -3*g + 5*s = 2*g - 3475. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = m + 2*m + 3*c, -2*m + 2*c = -10. Let b = 4 - -1. Suppose 0 = -b*f - p + 9, m*f + 2*p + 3*p - 5 = 0. What is the remainder when 5 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3917\/232 - 756449\/45240. What is the common denominator of (-12)\/(-2) + (2028312\/1456)\/(-197) and w?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2716, -2709, -2702, -2695?\nAnswer: -2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from bxxxbbxbxx?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 117 and -0.5.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the second derivative of -a**4\/12 + 3*a**3\/2 + 10*a. Let j be k(9). Let l(g) = g**2 + g + 51. Is l(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/5)*o)\/(o**(2\/9)\/o*o)*(o*o\/(o*o*o*o\/o**(-2\/7)))\/(o\/o**(1\/5)) assuming o is positive.\nAnswer: o**(-538\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11453936647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -447*m = -470*m + 2484. Calculate the remainder when 862 is divided by m.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -o**3 - 5*o**2 + 4*o - 8. Let j be f(-6). Suppose 5*l - 8 = -2*h, 2*h + 6 = j*l + 14. Let u = 48 + -28. Solve l*r + 4*r = -u, 5*y + 2*r = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 8 = -3*j, -3*j - z + 2 = -2*z. Suppose j = -15*n + 16 - 1. Which is smaller: n or -3\/86?\nAnswer: -3\/86","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 13  (b) -25  (c) 1\/5  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 14 = -4*w, 6*w + 4*j - 32 = 2*w. Suppose -p = -w + 4. Is (-4719)\/(-6) + p\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/2 + 0)\/3. Let d(m) = -1. Let k(v) = -2*v**2 + 4*v - 7. Let b(a) = s*k(a) - 5*d(a). Factor b(l).\nAnswer: -2*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + -9 - 21) + 0 + -3 + 44 + -44?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: -0.0809 times 3304.3\nAnswer: -267.31787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 343 + -220. Which is the fourth biggest value?  (a) l  (b) 2  (c) -0.4  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*k - 19*k + 5. Sort 3, k, 0, -8 in descending order.\nAnswer: k, 3, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*s - 1095 = -172*s - 5799 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 8*g**2. Let s = -11 + 13. Let h(m) = -2*m - s + 2 + 0. Calculate f(h(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-48)\/10)\/(72\/240). Calculate the common denominator of 0 + 93*2\/r and (0\/(-1))\/1 + (-468)\/(-84).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7635 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4380 and 17586795?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 5*t - 1145, 2*t + t + 1141 = -5*i. Let o = i - -430. Let v = o - 76. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1900)*2 - sqrt(1900))**2 + 1)*5.\nAnswer: 9505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -39 - -87. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2*((-14)\/(-12) - 1). Let i = 13 - 18. Let z = i + 5.4. Which is the nearest to x?  (a) 0  (b) -4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3\/(-15) - 172\/(-10). Suppose 4*i = 4*g - 4, -i = 4*g - d - 2. What is the third derivative of 3*c**2 - 2*c**4 + c**2 - i*c**2 wrt c?\nAnswer: -48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5377\/846 + -23\/94. Let k be ((-5305)\/(-40))\/(18\/1976). Let m = -14554 + k. What is the common denominator of f and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) be the third derivative of -4\/3*w**4 + 0*w - 1\/84*w**8 + 3\/10*w**6 - 2\/15*w**5 - 16*w**2 + 4\/105*w**7 + 0*w**3 - 2. Find q such that r(q) = 0.\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*g + 0 = -13 - 0. Does g = -8\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 6*x = x - 20, 5*z - 3*x - 796 = -800 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 8*u**2 - 30*u - 28. Let a be c(11). Suppose -30*w + 35*w - 50000 = a*j, -4*j = -3*w + 30000. What is w rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112973486 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 are the prime factors of 113117931?\nAnswer: 3, 4189553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.34 - 0.06. Let t be (15\/13 - 1) + 1250\/4550. Let s = 0.3 - 0.1. Sort t, i, s in increasing order.\nAnswer: i, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7.6 - 12.6. What is the biggest value in 14, 3, o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -48, 59, 352, 867, 1640?\nAnswer: 2707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 - 2*v - 1. Let g be i(2). What is p in -3*p**2 + p**2 - p + g*p**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -b - 129550*b**3 - 129459*b**3 + 4*b + 258736*b**3 - b.\nAnswer: -273*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**2 - 5*d + 4. Let f be j(-4). Let g = -45 - -85. Suppose 0 = -4*n + g - f. Calculate the least common multiple of 4 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79750 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3. Let q(i) = -i**3 - i**2 - i + 2. Let t be q(0). What is the lowest common multiple of n(t) and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) be the second derivative of b**3\/2 + 17*b. Let g(c) = -8*c. Determine o(g(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(3\/25)\/b)\/((b\/(b\/(b\/(((b*(b\/b**(-13)*b)\/b)\/b)\/b))))\/b))**(-3\/28) assuming b is positive.\nAnswer: b**(-909\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -43 - -45. Let w = 8 - 12. Which is the third biggest value?  (a) -2\/3  (b) i  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from tirhlrrrlilrrilrti.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 24244*h**6 + 107*h**4 - 7*h**3 - 65*h**2 + 87081*h.\nAnswer: 2909280*h**3 + 2568*h - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -82175935.3 to the nearest 10000.\nAnswer: -82180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.035 - 0.035. Sort 1\/10, 3\/2, i, 1 in decreasing order.\nAnswer: i, 3\/2, 1, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = 2*c - 14, -874*c + 876*c - 8 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 355.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 12*a - 45. Let j be u(4). Let v(s) = -3*s**3 + 6*s**j - 3*s**2 + 2*s + 7*s**2 - 2 - 2*s**3. What is v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.730974 rounded to one decimal place?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*(sqrt(80) - (2*sqrt(80) + sqrt(80))) - sqrt(80))**2 + ((-2 + sqrt(80))*-5)**2.\nAnswer: -400*sqrt(5) + 4098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 89029 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, o: 2, m: 3, w: 3, d: 1}. Give prob of picking 1 h and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 201112202121 (base 3) to base 9.\nAnswer: 645677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -705 - -38071\/54. Let z(g) be the second derivative of 0 - k*g**4 + 1\/9*g**2 + g + 0*g**3. Let z(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -2*x**2 - 123*x - 280. Let m be h(-31). Which is smaller: -1\/87 or m?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9923\/5680 + -73\/80. Let b = u - 6\/71. Do -1 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 20, -2*j + v = 3*v - 160. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13128.454 times -0.2\nAnswer: 2625.6908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 361642248 to the nearest integer?\nAnswer: 19017","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14 by 18.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73 = -8*h - 641. Let w = -67 - h. Solve 0 = 5*a - w*a + 3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (24*f - 4*f - 3 + 3 + 9*f)*(-105 - 14*f**2 + 105).\nAnswer: -406*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -23177 (base 8) in base 2?\nAnswer: -10011001111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4813162 is divided by 362.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2213302 + 1?\nAnswer: 2213303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 - 97 = -5*q. Let t(z) = 33*z**2 + z - 1. What is the remainder when t(1) is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w + 32 = -3*w. Suppose -i = -f + 3, -4*f + 13 = -0*f - 3*i. Let z(o) = -2*o - 6. Let n be z(-4). Solve -2*b + w = -f*j, -n*b + 2 = -3*j - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-19)\/57)\/(266\/267 - 1). Let n = m - 62. What is the greatest common factor of 27 and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 9 + 9 = 3*f, -f + 1 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t - t - 20. Let i be ((-44)\/(-60) + 8\/(-20))\/((-49)\/294). Let w(b) = -b**2 + 6*b. Let q(m) = -3*m. Give i*w(v) + t*q(v).\nAnswer: 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = 5*s - 570, -2*u = 3*u - 4*s + 573. Find the common denominator of (u\/(-60))\/((-12)\/(-5)) and 71\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/8 or -1.0684?\nAnswer: -1.0684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 16379711 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2674829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -465  (b) 2\/11  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -89\/1740 and -47\/1331013.\nAnswer: 26620260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2019704, 4039384, 6059060, 8078732?\nAnswer: 10098400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1848 = -3*b + 3*s, 3*s + 58 - 46 = 0. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8*49\/56*2\/7. Solve 4*c + b*g + 22 = 0, -5 = -3*c - 5*g - 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.05 - 0.05. Let m = -29 - -61. Let j be m\/(-14) - (-6 - -4). Sort s, j, -5.\nAnswer: -5, j, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1120112222122 (base 3) to base 15.\nAnswer: -1182ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i - 3*i + 2*i)*(5*i**2 - 6*i**2 + 0*i**2) - i**3 - 22*i**3 - i**3 to the form r*i**2 + o*i**3 + x*i + b and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxhxxhxxhx. Give prob of sequence xxx.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 2*i + 14 = -0*i, -64 = -4*w - 18*i + 26*i for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 - 1)*(14*t + 13*t - 11*t).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 = 5*n + 4*z + 5, 2*n = 2*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26554 - 16686. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g + 2*v + 170 = 0, 3364*v + 255 = -20*g + 3361*v for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15753 + -1149967\/73. Let x be (-2 - (-4 + 1)) + -1. Is x less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2451, 10608, 24471, 44040?\n\"Answer: 2853*f**2 - 402*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 62 in -5, -3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from {f: 3, v: 1, g: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 424012 (base 5) to base 7\nAnswer: 56365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from {k: 3, g: 2, x: 1, i: 5, r: 6}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5258, -4890, -3722, -1352, 2622?\nAnswer: 8602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -33 - -56. Let v = -23 + g. Solve k + k + 2 = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*a**3*h**2*z**3 - a**3*h**2 + 5*a**2*h**2*z**2 + 2*a**2*h*z**3 - 7*a**2*h*z**2 - 2*a*h*z**3 wrt a.\nAnswer: -144*h**2*z**3 - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.072, -4\/5, -0.4, -11, -15, 1\/2, -3\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*v - 420 = 1711*k - 1709*k, 15 = 4*k - 3*v - 75 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -93, -183, -285, -405, -549, -723, -933?\n\"Answer: -o**3 - 83*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 + 295*s - 598*s + 4 + 304*s + 8*s**2. Determine u(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 5*l. Suppose l = 5*h - h. Suppose 5*z - 39000000 = -h*z. Round z to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -48107720 to the nearest one million.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(7260) - sqrt(7260)) + -1*sqrt(2160))\/(((sqrt(108) - sqrt(108)*-2)*-3)\/(sqrt(180)\/sqrt(5))).\nAnswer: 56*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 10777 (base 9) to base 10\nAnswer: 7198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/2, -28624, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12197*d*h**3 - 946*d*h**2*n**2 + 10525*h**3*n**2 + 112*h**3*n + 35*h**3 with respect to d.\nAnswer: 12197*h**3 - 946*h**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 12423424 (base 5) to base 12\nAnswer: 5b652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 56784429 minus -6655?\nAnswer: 56791084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6160, 13012, 20504, 28642, 37432?\n\"Answer: g**3 + 314*g**2 + 5903*g - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 608 + 1783 = 0. Suppose 24 - 200*z + 250*z**2 + 41 - j*z**2 = 0. Calculate z.\nAnswer: 1\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 22*w + 3. Let d(n) = -65*n - 23. Calculate -2*d(t) - 7*q(t).\nAnswer: -24*t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (24\/(-33))\/4 - (-48276)\/44 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3104 is divided by 282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 22 and 22 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = l**2 + l - 6. Let k be j(-3). Solve 3*m - 2*m + 3 = k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 864 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111111 + -10000001111?\nAnswer: -10001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168810 and 2567?\nAnswer: 25490310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 43500 to the power of 1\/2, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -387 + 395. Let o be 4\/(n + (-80)\/12). Find d such that o*d + 0 - 3\/2*d**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 99 a factor of 18810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 147310135*b + 6698750?\nAnswer: 147310135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22039422 is divided by 324109?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s - 4*q = -s - 22, -4*s + 2*q = -28. Calculate the common denominator of 13\/9 and (-3)\/(-576)*-519 - s\/(-2).\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c + 5. Let v be i(4). Suppose -4*d + z = -7, 3*d - 2*d - z - v = 0. Find the first derivative of -m**2 - 6 - 4 + d + 4*m**2 wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 100653016 to the nearest integer?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1119718949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.1 + 2.1. Let q = -113 + 123. Let t = 156.7 + -156.2. Sort t, v, q, -1\/3 in decreasing order.\nAnswer: q, v, t, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -5.184.\nAnswer: -25.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17 - 18. Let c(r) = -6*r**2 + 2*r + 1. Calculate c(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:53 PM and 1:23 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of 2*h**2 + 0*h - 192 - 4\/3*h**3. Let n(j) = j. Calculate n(r(q)).\nAnswer: -4*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 92959668 to the power of 1\/2, to the nearest integer?\nAnswer: 9642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 - 27*o**2 - 15*o + 14. Let w be d(14). Suppose -5*b + 6*u - 8*u - 50549990 = w, -40440015 = 4*b - 3*u. Round b to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the second derivative of -z**4\/12 - 24*z. Let w(o) = 4*o**2 + 1. Let b(i) = 1. Let r(x) = -b(x) + w(x). Give k(r(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o. Let h(k) = -k**3 + 5*k**2 + 6*k - 4. Let c(x) = 4 + 0*x + 0 - 2 - 4*x. Let z be c(-1). Let r be h(z). Give v(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**4 + 7*d**3 + d**2 - 2*d. Let l(t) = -5*t**5 - 50*t**4 - 156*t**3 - 38*t**2 + 28*t. Let j(i) = -9*b(i) - l(i). Suppose j(x) = 0. Calculate x.\nAnswer: -10, -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-68)\/(-374))\/((-9)\/693)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/1 - (-174)\/29. Suppose -2*b + 8 = -0. Suppose -9 = 3*a, 4*w - b*a = -w + 12. Solve w = r - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 15*i - 46. Determine s(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -11*j + 1. Let g(z) = 3*z. Determine g(a(q)).\nAnswer: -33*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1468440374 to the nearest integer?\nAnswer: 1137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 12 = 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.31 + 0.11. Let f = -1.3 - s. Put 0.11, -5, f in ascending order.\nAnswer: -5, f, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 40\/(-25)*2\/(-4). Let q = 2.7 + -3. Let n = q + 0.2. Sort n, v, -4 in decreasing order.\nAnswer: v, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-8))**(-2\/7)\/(v**(-5)\/(((v*v*(v\/v**14)\/v*v)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -128, 2, 3 in descending order.\nAnswer: 3, 2, 0, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2574154717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32*i**2 + 3*i + 40*i**2 - 28 - 89.\nAnswer: 8*i**2 + 3*i - 117","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 731437539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3321, 3324, 3329, 3336, 3345?\n\"Answer: i**2 + 3320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*sqrt(27)*-2 - (-5 + sqrt(432)))*5)**2*5.\nAnswer: 15000*sqrt(3) + 57125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 1.16. Let g = l - 2.56. Let n = -0.4 - g. Which is smaller: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*q + 1539309 + 475658 = -407348. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 62203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2263217*f**3 + 2263218*f**3 - 2*f - 4526442*f**3 + 2*f.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/19 or 3?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -88 + 102. Let q(d) = -4 - z*d + 5*d - 14*d**3 - 2*d**2 + 3 + 7*d. What is q(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214 = -6*r - 16. Suppose r*i + 424 = 37*i. Let k = -64 + i. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 7*w + 18 - 26 + 13. Let t = 0 - -5. Let u(o) = -8*o - 6. Let j(b) = t*u(b) + 6*z(b). Let s(m) = -4*m. Determine j(s(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -11182207 divided by 1399\nAnswer: -7993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 596, 698, 802, 908, 1016, 1126, 1238?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12, 2, -3, 958, -1, 3 in increasing order.\nAnswer: -12, -3, -1, 2, 3, 958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(6\/3)*(-11 + 5). Let z(d) = d**3 - 5*d**2 - d - 8. Determine z(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/q**6*q**(-2)\/q)\/(q**2*q**2\/q)*((q**(-2\/7)\/q)\/(q\/q**0))\/((q**(-1)\/q*q)\/(q\/(q\/(q*q\/q**(-3\/4)*q)))) assuming q is positive.\nAnswer: q**(-239\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5867401 is divided by 1955767.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 367992*k**2*u**3 - 54*k*u**3 - 7*k - u**3 wrt k?\nAnswer: 735984*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)*2*2)\/(2*sqrt(80)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-5)*a*(a*a\/((a\/a**(-2\/5))\/a*a*a))\/a*(a\/a**(-2\/5)*a*a)**(1\/2))**(-6) assuming a is positive.\nAnswer: a**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -20 - -40 - (17 + -6 - 5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1427 + 1427 + 1808*m)*(-1 - 3 + 1) to j + t*m and give t.\nAnswer: -5424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36173*b**2*l**3 - 273*b**2*l - 2050*b**2 + l**5 + 115*l**2 wrt l?\nAnswer: 217038*b**2*l + 20*l**3 + 230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 2*l**2 - 2*l**3)*(2*l - l + 0*l) + 15642*l**4 + 6 + 2*l - 24 - 15645*l**4.\nAnswer: -5*l**4 + 2*l - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + y + 2. Let c = 5199 + -5195. Calculate l(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -22*q**2 - 3*q + 34. Calculate p(-5).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2214 and 6015684?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 8*j - 15. Let m be p(7). Sort 1, m, 0 in descending order.\nAnswer: 1, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -5*l**5 - 50*l**4 - 170*l**3 - 180*l**2 + 135*l + 270 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 10*f = 9*f - 11150, -f + 16715 = 3*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pew when three letters picked without replacement from epewpepwppweewppwmm.\nAnswer: 175\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/(-3)*6\/(-120))\/((-4)\/(-10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -123, -0.5, 1, -2\/3, 6 in descending order.\nAnswer: 6, 1, -0.5, -2\/3, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 AM and 7:05 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35700 divided by -8925.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 2 m, and 1 k when four letters picked without replacement from {k: 1, m: 9, f: 5, v: 5}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -34 in -86419, 3\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 + -15756?\nAnswer: -15762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -a (base 16) to base 4.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 7 * 0.304489\nAnswer: 2.131423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -97*v + 20 = -102*v, 3*p - v - 31570 = 0. Is p at most as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*l + 17 = -68. Which is the closest to -2?  (a) -3\/2  (b) -2  (c) l  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 906680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1*(0 - -17 - 3). Let n be 2\/(-4) - i\/28. Suppose n = 3*o + 117145 - 24145. Round o to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 172018 >= 172209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 290395856?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -2, 3, 0.01 in decreasing order.\nAnswer: 3, 0.3, 0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9902 - 9902.0004453. Round j to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s - 12. Let c(q) = 5479*q - 7. Give c(r(m)).\nAnswer: 5479*m - 65755","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/8373 or -1?\nAnswer: 4\/8373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16313*n + 8158*n + 44 = -8157*n + 8*t, 3*t + 3 - 96 = 3*n for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2060 is divided by 1014?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-3\/4)\/d**(-1\/14))**(-1\/6)\/((d**(-1\/4)*d)**(-1\/2)\/(d**(-2\/3)\/d*d*(d*d**(-5\/2)*d*d)\/d*d)) assuming d is positive.\nAnswer: d**(9\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*t = 117*t + 77 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 7*u**2 - 10 + 11 - 1. Let h(r) = -240*r + 64. Let b(i) = 37*i - 10. Let l(w) = -32*b(w) - 5*h(w). Determine l(x(a)).\nAnswer: 112*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -2*s - 4. Let q be z(-12). What is the third derivative of -3*w**6 - 12 + 10*w**5 - 41*w**5 + q*w**5 - 3*w**2 wrt w?\nAnswer: -360*w**3 - 660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 560 + 4\/((-8)\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 3*s. Let u(n) = 3*n - 1. Give 3*r(l) - 4*u(l).\nAnswer: -3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 631?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*g + 26 = 13*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11011211022101 (base 3) in base 12?\nAnswer: -8b11b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14484067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 259296.1 to the nearest ten thousand.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 4:14 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + 5*w = 4*w - 979, 1949 = -2*m - 5*w. Which is the third biggest value?  (a) 0.2  (b) -5  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**3 - 3*m**2 + m + 2. Let v be t(2). Let l = -3509.1 - -3495.1. Which is the closest to 2\/7?  (a) v  (b) -3\/2  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 499364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the third derivative of 0*u**3 + 0*u**4 - 1\/5*u**5 - 17\/40*u**6 + 0 + 8*u**2 - 2\/35*u**7 + 0*u. Factor f(i).\nAnswer: -3*i**2*(i + 4)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2934*c - 431*c - 20780425 + 20780425)*(0*c + 0*c - 2*c).\nAnswer: 6730*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*q + 18*q - 36*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*d**4 + 0*d**4 + d**4 + 2*d**4 - d**4 - 2*d**4 + (-2 - 1 + 4)*(19*d**4 + 15*d**4 + 54*d**4).\nAnswer: 88*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 94559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 14.15086823 rounded to 1 dp?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 7*x. Let j(a) = a - 25. Give p(j(y)).\nAnswer: 7*y - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/9)\/((-4)\/(-6)). Suppose g = -g + 2*o - 10, o - b = -g. Let c = 4 + g. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.2, -2\/23, -64.9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 86196 and 38274942?\nAnswer: 3918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.00632 + -0.20632. Let g be (-2)\/6 + (-4)\/(-24). Let z = 0.93 + 0.07. What is the closest to z in y, g, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30803, -30866, -30987, -31172, -31427, -31758?\nAnswer: -32171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y. Let q(x) = x**2 - 5*x + 14. Let l(f) = 5*a(f) + q(f). Differentiate l(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = 11 - 15. Let s be -3 + 76*y\/4. Suppose 1 = 4*z - s. Solve 0 = -3*u + z + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 175 - 16 = 0. Let w = -35 - i. What is the least common multiple of (0 - -1)\/((-3)\/(-6)) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + q, 0 = 3*n + 5*q. Let p be 4\/1 - (-8)\/(-32)*-4. Solve h - p*l - 25 = n, -4 = -4*l - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (2 + -2 + -1 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/105405 and 21\/4251335?\nAnswer: 12754005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 11*j + 29. Let t be (-1*52\/(-24) + 14\/(-21))*-2. Give g(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 3 - 5, -2*z = -i + 446. Suppose -3*l - 4*y + 1323 = 0, -2*y - i = -l - 3*y. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(891) - (-5*1*sqrt(891) - sqrt(891))) - (sqrt(891) + sqrt(891)*2*6 + -4*(1 + sqrt(891))))**2 + -3.\nAnswer: -2160*sqrt(11) + 801913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 - 8502\/(-286)) + -2*6\/(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3524618 by -6.\nAnswer: 1762309\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2467294*r**2 + 2468693*r**2 - 4934685*r**2.\nAnswer: 1302*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -248, -1\/9, -0.1, -3\/40?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 minus 1420?\nAnswer: -1420.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*g**3 + 1034*c - 2*g**3 - 6424*g**2 - 2 wrt g.\nAnswer: 6*c*g**2 - 6*g**2 - 12848*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 7 + -2 + -2 - -2. Let k(n) = 5*n - 24. Let p be k(y). Is -2\/125 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74\/9 + 1210\/63. Find k, given that -32\/7 + 240\/7*k**3 + d*k - 368\/7*k**2 - 50\/7*k**4 = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/3, -0.1, -5, -0.3 in decreasing order.\nAnswer: -0.1, -0.3, -0.4, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 0 - (10 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 143953951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the first derivative of p**4\/4 - p**3 + 2*p**2 - 6*p + 22. Let u be l(4). Let t = 164 + -34. What is the highest common divisor of u and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-33)\/3 - (49 - 63). Solve 0*s + j*s - c = 13, s - 2*c = 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 + 6. Let a = 1.64 - -0.36. What is the nearest to f in -2, a, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1008 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1662 - 1162. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 645, 682, 727, 786, 865, 970, 1107?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3*(460\/90)\/(10\/45))\/(4\/4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101019 is divided by 549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 9, 25, 49, 81, 121, 169?\nAnswer: 225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - -26. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/11 at least -11685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18898039 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 minutes before 8:50 PM?\nAnswer: 12:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.9 + 3. Let g = -1 - -28. Let k = -25 + g. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*19*(-2)\/(-10)*10. Suppose 0 = 2*r + o - a, -5*o + 10*o + 80 = 5*r. Calculate the remainder when 213 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 11*c - 82. What is the tens digit of j(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*g + g - 18*g - 4*g.\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -14125, -28186, -42247, -56308, -70369?\n\"Answer: -14061*l - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 46 and 492138.\nAnswer: 11319174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*-2*(-3816)\/(-6192)*43?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 43718740*k*n**3 + 2*k*n - 90383*k - n**5 + 275*n wrt n.\nAnswer: 262312440*k*n - 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:04 AM and 10:16 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*h, -26 = 2*s - s + 4*h. Let p = -2 - s. Let m = 5.5 + -6.5. Which is the closest to -2\/5?  (a) -0.5  (b) p  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 times -10477\nAnswer: -6286.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u**3 + 0*u**3 + 6*u**3 + (-u**3 + 1 - 1)*(3 - 1 + 3))*(-u - 3*u + 2*u).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(2\/7))**18\/(y**0)**48 assuming y is positive.\nAnswer: y**(162\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1847 - -1842. What is the nearest to -1 in x, 2, -22?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*t = -74*t + 2610. Let n(d) = 20*d - 267 + 787 - t - 259. Let j(a) = 0*a**2 + 2*a**2 + a**2. Give n(j(k)).\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 27*v**2 + v. Let b(z) = 163*z**2 + 5*z. Give -6*b(s) + 34*f(s).\nAnswer: -60*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert b97 (base 12) to base 8.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4260.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/2, 2\/9, 230, 3, -4?\nAnswer: 230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m - 2 + 2)*(0*m + 0*m - m) + (-m + 2*m - 3*m)*(-3*m + 1 - 1) + 2*m**2 - 3 + 3.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 16) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-160333 + 160333 + 246*j**2)*(0*j + j + 0*j) + 0 + 0 + 2*j**3.\nAnswer: 248*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -11771.3429 rounded to one dp?\nAnswer: -11771.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.138*-0.4.\nAnswer: -0.0552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -127 + 135. Let q be ((-2)\/y)\/((-3)\/4)*1. Find i such that -2\/3*i + q*i**2 + 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31443*l - 31425*l - 144 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**8\/q**(4\/5) assuming q is positive.\nAnswer: q**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -187\/2925300 and 99\/19900?\nAnswer: 2925300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {x: 1, r: 3, v: 1, y: 2, p: 1, b: 4}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, q: 1, t: 6, o: 2}. What is prob of picking 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 + 2*v**2 - 5*v - 10. Let d be g(-4). Let u = d + 25. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t*t**(-9)*t*t**3*(t**(-2\/19)*t)\/((t**(-4\/13)*t)\/t) assuming t is positive.\nAnswer: t**(-444\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j**3*z**2 - 322731127*j*z**2 + 385178*z**2 + 147*z with respect to j.\nAnswer: -3*j**2*z**2 - 322731127*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -12*v + 15 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**5\/q**(-4\/5))\/((q\/q**(2\/5))\/q*q)**(1\/3)*q**(-4)*(q*q*q**(1\/6)*q*q)\/q*((q*q**0)\/q)**31 assuming q is positive.\nAnswer: q**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 3*c - 3*c)*((c**2 + c**2 + 3*c**2)*(-492 - 75 + 28) + c - c**2 - c + (1 - 3 + 0)*(-c**2 + 4 - 4) + 2*c + c**2 - 2*c).\nAnswer: 5386*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -5*g**2 + 5 - 3*g**3 + 5*g - 5. Let y = 16 + -8. Let x(d) = -5*d**3 - 8*d**2 + 8*d. Suppose -19*m + 15 = -22*m. Give m*x(o) + y*i(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + 5.2. Suppose -4*l - 3*v + 61 = 15, -14 = -l - 2*v. Let n be 24\/l*(-1)\/4. Which is the biggest value?  (a) -0.4  (b) n  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -16033\/280 at least as big as -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 61493, 122901, 184283, 245633, 306945?\nAnswer: 368213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25615 divided by -545.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**3 + 29*b**2 - 36*b + 93. What are the prime factors of c(-29)?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, 0.4, 0.5, 1\/22, 0.1.\nAnswer: -5, 1\/22, 0.1, 0.4, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 5. Let n(l) = 3*l - 1. Let v be n(2). Suppose x*z - 48 = 5*p, v*z - p = 2*z + 36. Calculate the highest common factor of z and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11166847721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 7 + (-76 - -27)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 2*v - 192 = 3*v, -5*x + 5*v = -435. What is the highest common factor of x and 891?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 286 + -285. Is 2\/8 + (-1905)\/(-12) + v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((68\/5)\/4)\/(1189\/11890)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**2 + 1. Let w(c) = -4*c**2 + c - 7. Calculate 6*q(k) + 2*w(k).\nAnswer: -2*k**2 + 2*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/3292 and 81\/2.\nAnswer: 3292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 AM and 2:49 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -84a4c (base 16) in base 14?\nAnswer: -101dda","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 48, 89, 124, 153, 176, 193?\n\"Answer: -3*s**2 + 50*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 113223 and 4161.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 73969716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 - 3*y**2 + 4*y. Let t be a(-4). Suppose -4*g - 50 = -3*b - t*g, -5*b - 3*g = -64. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/340352 and -85\/3744.\nAnswer: 39821184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 933\/21 + (71 - 17000\/238)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 10*q**2 - 1005*q - 9118. What is l(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 16391 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34433 - 3?\nAnswer: 34430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -3*d**2 - 43*d + 22. Calculate o(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5954 by -1.\nAnswer: 5954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(-3))\/(v**(-1\/2)\/v))\/(v**7*v*v**(2\/9)) assuming v is positive.\nAnswer: v**(-157\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -212*n**6*s**2*u + 2*n**3*s**2*u - 2*n**2*s**2 - 2*n**2*u + 122*s**2 wrt n.\nAnswer: -25440*n**3*s**2*u + 12*s**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f + f**2 + 0*f - f + 2*f**2 as c*f**2 + l*f + p and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 298*b. Let c(u) = -3*u. Give h(c(k)).\nAnswer: -894*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 16632 in -0.5, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6857 is divided by 309?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 2*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of 0*h + 0*h**3 + 0 - 1\/120*h**4 + 1\/600*h**6 - h**2 + 0*h**5. Suppose u(j) = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 258*w**2 - 2*w - 6. What is the thousands digit of o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 181 divide 591508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 + 45*y**2 - 87*y + 43. Let a be r(43). Solve 156*d - 149*d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i = -65 + 58 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -46  (c) -4045  (d) -2\/9  (e) -3  (f) 1  (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -2*j**3 - 17*j**2 - 44*j - 69. What is the remainder when 262 is divided by a(-7)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ukk when three letters picked without replacement from {u: 6, k: 4}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 14, w: 5}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.831 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -998 - -991. Let z(t) be the second derivative of -t**5\/20 - 2*t**4\/3 - 4*t**3\/3 - 3*t**2 + t. What is z(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -7607, -15235, -22853, -30455, -38035, -45587?\nAnswer: -53105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 - -73.7. Which is the third biggest value?  (a) m  (b) -4  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 4:56 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 5  (b) 92\/145  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-105 - (0 + (3 - 3))) + 9159 + -9139?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 92 + -84. Solve 4*w - 21 = -n, g*w - 4*n - 11 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*x + 2*x - 3*x)*(-2 + 1 + 2) + 14429 - 525*x - 14429)*((0*x + 0*x + x)*(2*x - 2*x - x**2) + 0*x**3 - x**3 - x**3).\nAnswer: 1578*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = l + 4*j, -3*l = 4*j - 174 - 238. Let u be 7\/4 - (-1032)\/32. What is the highest common divisor of l and u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 387 - 387. Suppose -4*w + 28 = -4*q, 0 = 2*w + 2*q - j*q - 6. Solve 0 = i, -w = 5*c - i - 2*i for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 591819795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -429118032*q**4 + 728*q**2 + 6*q + 6737 wrt q?\nAnswer: -10298832768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -195, -919, -2475, -5157, -9259?\nAnswer: -15075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 54  (b) 4  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 222324102 (base 5) in base 3?\nAnswer: 1211210011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -5*m - 49. Calculate q(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -21.5218136 - -0.0307136. What is a rounded to 1 dp?\nAnswer: -21.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.62 + -0.22. Let v = l - 2.1. Which is the nearest to -1?  (a) -2  (b) 10  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100000 - -1010011?\nAnswer: 110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7160823298 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -344 + 523. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/2*(-738)\/(-1107))\/((-170)\/(-12)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 3 = 5*b. Suppose -b = 3*c + 15. Does 7 divide (-34)\/((-4)\/c*-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -220*h + 2151. Calculate v(10).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -75 (base 8) in base 16?\nAnswer: -3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 210 and 75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -2*l - 4. Let w be b(0). Sort -5, w, 5, 0.\nAnswer: -5, w, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.2 - 2. Let a = -2 + 0. Suppose 4 = -c + 35*g - 34*g, -c - 3*g = 4. What is the closest to 0.1 in f, a, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -1610*k - 1614*k - 1615*k + 4838*k. Let n(b) = -50*b. Determine r(n(i)).\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -419, -764, -1111, -1460, -1811, -2164, -2519?\n\"Answer: -t**2 - 342*t - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g + 5*r - 3, 0 = -5*g - 183111*r + 183106*r + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, 5, -1658471 in descending order.\nAnswer: 5, -21, -1658471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 46  (b) -3\/4  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -43346*i**4 - 7921*i**2 + 82824*i**4 - 43728*i**4 wrt i.\nAnswer: -102000*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -15. Let f = 1 - 1. Sort t, -5, f in decreasing order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 5:35 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -13740000 rounded to the nearest one hundred thousand?\nAnswer: -13700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 55*f**3 - 20*f**2 - 4*f + 13. Let g be m(7). Let u = 26764 - g. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 + 4 = 7*t. Suppose t*r - 2*r = 10652. Suppose -f - r = -4*a, -2*a + 2*f - 5*f + 1349 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7608, 32, -2, 0 in descending order.\nAnswer: 7608, 32, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*c + 1133 + 2008 = 1409 - 3208 for c.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.336405911 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -2*c. Let b(u) be the first derivative of 23*u**3\/3 - 224. Determine b(w(q)).\nAnswer: 92*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (b + 6098 + 2*b - 6089)*(4*b - 1 + 6*b - 2*b).\nAnswer: 24*b**2 + 69*b - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w + 5. Let t = -7 - -9. Let b = t - 6. Let j(h) be the third derivative of -h**4\/24 - 2*h**3\/3 - h**2. What is b*j(k) - 3*i(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 208 = -0*r + r. Let v be (-4 + 9)*(-1 + r\/10). Suppose 0 = 5*t - v - 136. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qfpqnndqnqdqdqqqqn. Give prob of sequence dnq.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 g, and 2 p when four letters picked without replacement from dddpppdppdgddpdpdgdd?\nAnswer: 154\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 20*v + 48. Suppose -4*h - 13 - 39 = -4*f, -5*h = 5*f - 15. What is the tens digit of p(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -n - 0*n. Let v be -1 + 2 + 2 + 4. Let u = v - 6. What is the smallest common multiple of u and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10016 is divided by 264.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 52\/(-8)*(-4)\/1. Suppose -z - 10 = -4*a. Let w(s) = 3*s - a + 9 + 2*s**2. Calculate w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -101 - -2222?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**3 + 23*y**2 - 112*y + 6. Give d(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -8, -9309743 in decreasing order.\nAnswer: 2, -8, -9309743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3332)\/504)\/119*18. Let i = -2\/317 + 341\/3804. Which is the fourth smallest value?  (a) 0  (b) i  (c) 45  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176072872, -176072873, -176072874, -176072875, -176072876, -176072877?\nAnswer: -176072878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 2*x = -21. Suppose -4*b + 11 = -x. Suppose 0 = b*o - 28 - 4. Solve 0 = -2*v + o*m - 2, m + 3*m - 4 = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 2. Suppose 20 = d*f - 0*f. Let v(j) = -j**3 + 6*j**2 + j + 6. Is v(f) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58230?\nAnswer: 2, 3, 5, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 - 3)*(2 + 3*z - 2) + 2*z + z - z + (-15 + 6 + 2)*(2*z + 3*z - 4*z))*(2*z + 2*z - 6*z).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-23)\/((-143)\/198 + (-2)\/(-9)). Let t be (-9)\/15 - n\/(-10). Let o = -3 + 5. Calculate the highest common divisor of o and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -162 - -187. Solve -5*o = f - 30, -o + 3*o = -3*f + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-1\/18))**(-16\/9) assuming n is positive.\nAnswer: n**(8\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-639)\/12)\/((-2)\/32). Suppose 5*l + 1458 = -z. Let i = -907\/2 - l. Calculate the common denominator of -71\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u - 138 = -26*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001101010111 (base 2) to base 15.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.25036 rounded to one decimal place?\nAnswer: 16.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32667865 is divided by 1064?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = h - 6, -1 + 5 = z - h for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1863090113596695.00000055 - -1863089993123535. Let k = 120473164 + g. Let l = k - 4. Round l to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 94*q**3\/3 - 3*q**2\/2 + 10*q - 16. Find the second derivative of w(r) wrt r.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -31072*c**2 + 62100*c**2 + 2*c**3 - 31028*c**2. Let p be (-11 + 1)*(-4)\/8. Let h(o) = -3*o**3. What is p*r(k) + 3*h(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 + 8*r - 35. Suppose -2*k - 5*o - 1 = -29, 0 = 3*o - 12. What is the remainder when l(-12) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -53*z - 20. Determine d(-2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -7\/1782 + 4295\/110484. Find the common denominator of a and -45\/44.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -38152*x**2 + 113256*x.\nAnswer: -76304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(-4)*(-5)\/(5\/2). Let o(q) = -13*q**3 - 1. Is o(a) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.043055 times 5\nAnswer: 0.215275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-3505)\/15)\/((-26)\/12 + 2)?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 5  (b) -201\/2  (c) -1  (d) 0  (e) -3  (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-15)\/6*-1*2. Differentiate -g**2 - m + g**2 - 3*g**3 + 2 with respect to g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 2 + 8901*h + 0 - 1. Suppose -3*v - 7 = -2*y, -3*v = -3*y + 2*y + 8. Let n be f(y). What is n rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5937?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.046114 * -1.51.\nAnswer: -0.06963214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192426?\nAnswer: 2, 3, 13, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 25681050.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/70 and -61\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7194315 and 16320.\nAnswer: 460436160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710367693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26 - -13. Let t = -19 - o. Let m be t\/(-8)*(-2)\/3. Is m <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 232 and 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fivzififffffvfivvv. Give prob of picking 1 v and 1 z.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**4 + y**2 - 6*y**3 + 152 - 5*y - 85 + y**3 - 69 as j*y**4 + f*y**2 + s + q*y**3 + x*y and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/4  (b) 718  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-3\/8))**(-19\/4) assuming g is positive.\nAnswer: g**(57\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*m - 5*m - j - 155 = 0, 2*m - 3*j = 101. Suppose -2*w - 12 = 5*s, 2*w - m*s - 12 = -51*s. Factor -4\/3*f**3 + 0*f**2 + 8\/3 + w*f.\nAnswer: -4*(f - 2)*(f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2\/5 + 416205261*j\/5.\nAnswer: -3*j*(j - 138735087)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.09, -1\/2, 11.386, 2 in ascending order.\nAnswer: -1\/2, 0.09, 2, 11.386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 629419023 to the power of 1\/2, to the nearest integer?\nAnswer: 25088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -3332231 (base 4) to base 10\nAnswer: -16301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g*p*z**2 - 113*g*p - 7*g*z**2 + g - 204*p*z**2 + p*z wrt z.\nAnswer: 2*g*p - 14*g - 408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 24*q + 10*q + 865 + 14*q - 57*q + 10*q as k + p*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/5*60\/(-8)*2\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0.55  (c) 5\/3  (d) -1\/3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 83 divide 81423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 22*l - 1951. Give w(53).\nAnswer: -785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 311*d = 900*d - 326*d + 898*d + 47601 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, s: 10}. Give prob of sequence sis.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.11233 * 0.4.\nAnswer: -0.044932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 6650*t. Let j(d) = 2*d. Give j(o(a)).\nAnswer: 13300*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 AM and 5:32 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.099464 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*a = -27*a - 2370. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand p + p - 4*p + (-2 + 3 - 2)*(0 + 2*p + 0) + (5*p - p - 2*p)*(2 - 1 + 1)*(-1 - 1 + 1).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 + -65.841. Let f = k - -6.841. What is the smallest value in 4\/7, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 227531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -k**3 - 4*k**2 - k + 3 - 2*k - 5 - 2*k = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45191920 and 400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3337 + 3333. Put t, 2\/385, 2 in descending order.\nAnswer: 2, 2\/385, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**2 + 2*y - 7. Let j = -21 + 26. Let n be r(j). Suppose -f - 96 = -5*f - u, -n = -3*f + 4*u. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -581, -582, -583, -584?\n\"Answer: -k - 580","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 299 - 94. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 8:33 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 924\/1843 + -5\/3686. Determine s so that 0 - 1\/3*s + 3\/2*s**3 + 1\/6*s**4 + 1\/2*s**2 - o*s**5 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -2*d**3 + 2*d - 1. Let f(v) = -33*v**4 - 4*v**3 + 8*v + 785. Let i(p) = f(p) - 4*l(p). What is the derivative of i(b) wrt b?\nAnswer: -132*b**3 + 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -2*x - 0*x + 6, 0 = -4*x + 4*h - 28. Let i be x\/5 + 1 - (-2)\/(-5). Solve 4*r - 5*g - 25 = i, -r - r - 3*g - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -0.017, -1, -12, 1\/5 in ascending order.\nAnswer: -12, -3, -1, -0.017, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*o - 3*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 3*n - 13 - 50 = 0, 2*y + 4*n = -18. Let g = -52 + 89. Let q = y + g. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -99\/16 and -59\/2616.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1842637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10708375?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 8:16 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = 3*x - 411, -4*q + 3*x - 6*x = -831. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9270680 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: Factor 3*v**2 + 0*v - 1\/4*v**4 + v**3 + 0.\nAnswer: -v**2*(v - 6)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7341832100 to the nearest one million.\nAnswer: -7342000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -9\/5  (b) -1\/6  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 59864 - 59868.1139. What is r rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*a + 12 = -142. Suppose a*v = 5*v + 96. What is the least common multiple of 20 and v?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.91173mm to meters.\nAnswer: 0.00491173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*q - 2*q - 78881 + 78933 - 2*q.\nAnswer: -2*q + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 111 + -2212?\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -563791*b**3 + 594268 wrt b.\nAnswer: -1691373*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -7*x**2 - 4*x. Let w(j) = -15*j**2 - 9*j. Let o be 12\/9*(-2 - 1). What is o*w(n) + 9*v(n)?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sryuxsroroouoss. Give prob of sequence yu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 - 1616\/806) + 0. Let i = 21752\/2015 - m. Find the common denominator of -69\/10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3443608622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (13\/(-204113))\/((-38)\/4684). Let y = v + -44790849239\/3159198210. Let j = -6\/1765 - y. What is the common denominator of j and -14\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-228)\/2850)\/((-2)\/5)*2\/6*1095?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {q: 4, u: 2, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -5, 0.2, -48, 57, -4, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -102*t**2 - 182*t**2 + 7*t**2 + (t + 2*t - 4*t)*(2*t + 5 - 5).\nAnswer: -279*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 0*z**2 + 1\/3*z**3 - 3 + 0*z. Let f(a) = -2*a + 13*a + a. Calculate f(p(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 52052 less than 52050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - m + 388 = -448, 0 = -4*q - 5*m + 1672. Calculate the highest common divisor of q and 2318.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -672*y + 310 = -610*y. Let a = -3 + 1. Sort 2, a, -5, y in descending order.\nAnswer: y, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - 0. Let v = -100 + 103. Suppose -3*x + 6*x - v = 0. Which is the third biggest value?  (a) x  (b) 2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ippkkkkkii. What is prob of sequence piip?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of 1\/2*h**2 + 3\/5*h**5 + 0*h + 0*h**4 - 1 + 0*h**3. Find the second derivative of b(s) wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21 (base 4) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 4 + 5, 5*a = -3*m + 651. What is the remainder when m is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (39 + -40)\/(1\/(-15)). What is the greatest common divisor of v and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -67.5 minus 920426.3677?\nAnswer: -920493.8677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32, 79, 158, 269, 412?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 246149\/7234320 - -23\/7010. What is the common denominator of x and 85\/12?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318793 is divided by 2578?\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -34 - -53. Let c(u) = 2*u**2 - 1. Let f(r) = r**3 - 9*r**2 + 7*r + 7. Let w be f(8). Let n be c(w). Solve t = 5*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33 - -38. What is the closest to 0.1 in t, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 5*t**2\/2 - 8*t + 93. Let f(h) = -2*h**2. Calculate k(f(c)).\nAnswer: -10*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-20)*30\/(-13680)*-20.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 3*s + 99, -4*x + 29 = -s - 5*x. Let m = s - -202. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) 69192  (c) 0.4  (d) 2\/17  (e) -0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-128)\/(-44)*-2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*q = 30, -l + 7 = 3*q - q. Let u(g) = -4*g + 2. Let p(f) = -2*f + 1. Let v = -322 + 320. Give l*p(i) + v*u(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6036 and 10248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 + 17. Let z = 100 + -96. Suppose z*u + f = 3*d, 5*u + 20 = d - 9. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -356 - -506. Calculate the remainder when s is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6, 21, 66, 129, 210, 309?\n\"Answer: 9*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 5 and -1253.\nAnswer: -6265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from nibnib?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 41275433.\nAnswer: 123826299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 57558283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*2*sqrt(2057) + -5 + -1 + sqrt(2057) + 4)**2.\nAnswer: -572*sqrt(17) + 347637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) 1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -8*f**2 - 2234*f - 22050. Determine h(-269).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + sqrt(99) + sqrt(11) + (sqrt(66) - sqrt(66)*-6)\/sqrt(6) + sqrt(11) + -2.\nAnswer: -7 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 113782 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: Calculate the common denominator of (-2428)\/276 - (0 - 8) and 155\/2622.\nAnswer: 2622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 405 = -5*k - 5*l, 4*k - 3*l + 317 = -0*l. Let y = -5 - k. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 258688390 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 7*q**2 + q. What is the remainder when ((-45)\/4 - -4)\/(23\/(-92)) is divided by l(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(4\/7)\/h*h*h\/(h**(2\/25)*h*h)*h*h)\/(h\/(h*h**(-20\/3))*(h\/h**(-2))\/h*h*h) assuming h is positive.\nAnswer: h**(-4817\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -404 by 19.\nAnswer: -404\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 2)\/1 - -1. Suppose y + 24 = j*y. What is the third derivative of -y*i**2 - 10*i**3 - 4*i**2 + 6*i**2 - 4*i**2 wrt i?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 182, 5, 3 in ascending order.\nAnswer: 3, 5, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, 0.4, 1\/2, -0.032 in decreasing order.\nAnswer: 3, 1\/2, 0.4, -0.032, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 3*r. Let y(v) be the second derivative of -2*v**4\/3 - 9*v. Calculate y(g(q)).\nAnswer: -72*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, u: 3}. What is prob of sequence uur?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 5 = -1. Let k(q) = q**2 + 3*q - 5. List the prime factors of k(g).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n - 411*n**3 - 73*n**3 - 3*n - 241*n**3 - 119*n**3.\nAnswer: -844*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -96 - -166. Let t = l - 47. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -582 (base 13) in base 3?\nAnswer: -1022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44090349\/7 or -6298621?\nAnswer: -6298621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j - 11. Suppose y + 4 = -5. What is the least common multiple of 4 and o(y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 + 9*t**2 - 39*t - 136. What is the remainder when 967 is divided by u(-11)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000067875942 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 30*k + 2. Let d be o(-3). Let t = -90 - d. Let u(r) = -r**2 - 3*r - 3. Let i be u(t). Let f(v) = -5*v**2 + 2*v + 1. What is f(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.9 + -1.8. Let q = 0.278 + 22.722. Which is the nearest to -0.1?  (a) -1  (b) l  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17\/(-10))\/(-17)*2*5\/(-155)*-5.\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -6*o**3*y**3 + 14*o**3*y**2 + 16*o*y**3 + 4*y**2 wrt y?\nAnswer: -36*o**3 + 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j + 8. Let a be k(-9). Let f(b) be the second derivative of b**4\/6 + b**3\/6 - b**2\/2 - 13*b. Let x(v) = -v**2 + v + 1. What is a*x(z) - f(z)?\nAnswer: -z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.9855588 to 4 dps.\nAnswer: -0.9856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 404301, -5, 1\/2?\nAnswer: 404301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 13457 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 195.\nAnswer: -17.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1164466900 to the nearest 1000000.\nAnswer: -1164000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(8\/3)*h)\/(h**(-10)\/h*h)*h**2*h*h*h**(3\/13) assuming h is positive.\nAnswer: h**(776\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 43593  (b) 0.4  (c) -68  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 9) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -22 - 177*p**2 - 20 - 6 - 15 + 32 with respect to p.\nAnswer: -354*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -714*w = -413*w - 102*w - 7363 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*553 + (2 - 1). Let z be u\/17 - (-10)\/(-85). Suppose -3*v - 2*q = 2*v - z, -q - 26 = -2*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -741197\/46 + 16113. Which is the closest to 2?  (a) -1\/5  (b) i  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**2. Let u(i) = 114*i + 2. Give o(u(p)).\nAnswer: 12996*p**2 + 456*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29302 + 7313 + 7312 + 7325 + 7352 - 32*x**2.\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -54 in 0.4, -2\/9, -2\/13, 2\/15?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -j**2 - 7*j - 6. Suppose -5*n = 34 - 9. Let b be g(n). Suppose k = -13*d + 8*d + 7, 14 = 5*k + 4*d. Put -5, k, b in descending order.\nAnswer: b, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/5 + 36\/10. Suppose -4*l - 2 = 2*y, 2*y + 7 + 7 = 2*l. Suppose l*b + 2*b = 20. Solve -6*f = -f - z*p + 7, -b*p + 15 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 4 = -2*l. Let s = -0.41 - -0.01. Which is the closest to l?  (a) s  (b) 3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26107 is divided by 1820?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 21*i**2 - 40*i - 23. Let l be f(-19). Let w(q) = -40 + l + 3 - 10*q. Let v be w(-3). Calculate the greatest common divisor of 64 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in 0.3, -5, 37, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 23*d**2 + 29*d + 4. Is x(22) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r**3 + 66165*r**2 - 218658600*r - 1533854000 = 0. What is r?\nAnswer: -7, 6620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8198*-6\nAnswer: 49188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7690006*s**4 - 25270331.\nAnswer: -30760024*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 42 = 20*a. Solve 4*f - 4*t + a = 9, 10 = -2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5598, 5798, 5998?\n\"Answer: 200*c + 5398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*j - 5674 + 5674.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -43\/3 - -175\/12. Let s(t) be the second derivative of -7*t + 0 + l*t**4 + 3\/2*t**2 + 5\/6*t**3 + 1\/20*t**5. Calculate s(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(14)\/(-3*sqrt(50) + sqrt(50)).\nAnswer: -sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3, -7, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 - -1*(1 - 1). Let w(m) = m**2 - 4*m - 4. Let n(d) = -4*d**2 + 11*d + 12. Let b(l) = -2*n(l) - 7*w(l). Determine b(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a week in hours?\nAnswer: 1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 42970820?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 331 - 227. Calculate the remainder when 25 is divided by (c\/(-20))\/(12\/(-30)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199306*s**4*u**2 - 11*s**4 - 1085730*s**2 - s*u**2 wrt s.\nAnswer: 4783344*s*u**2 - 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4617 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5306787 is divided by 132669?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 109*c - 96. What is x(3)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -114454 (base 7) to base 14\nAnswer: -782b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10111 - -322?\nAnswer: -3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/(30\/(-34)) - (-5)\/15 and -145\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 725 = -5*y + 2725. Does 100 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.9865951 centuries?\nAnswer: 98.65951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 + 11*q - 20. Is 2 a factor of v(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 - l + 1 + (0 - 2 + 0)*(341 - 341 + 11*l)*(1 - 2 + 2) as f + h*l and give h.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence za when two letters picked without replacement from hhzhhazhhah.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (24\/84 - 4\/14)\/(-2). List the prime factors of 114*((-31)\/(-3) - p).\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 158 = 2*t - 10. Suppose 2*k + 5*k - t = 0. Suppose 4*p = -4*c + k, 0 = 5*p + 2*c - 0*c - 6. Solve 4*o + p*o = -4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2*((sqrt(208)\/sqrt(4))\/sqrt(4) + -4) + 2)**2.\nAnswer: -40*sqrt(13) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 2001?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1013301 - -3133?\nAnswer: 1023100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43958 and 3173484?\nAnswer: 1418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 267824198 to the nearest integer?\nAnswer: 16365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 52 = -2*g, g = 3*g - z - 49. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1006\/119 + 60\/7. Which is the nearest to -6?  (a) 0.4  (b) 2  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1485 divided by 297.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 676 + -675.8. What is the biggest value in 1, -1\/3, z, 3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5724\/2226)\/((-54)\/(-798)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5609 - 89*u + 5189 - 15*u - 4*u**2.\nAnswer: -4*(u + 5)*(u + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5753 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -11*o**2 + 9*o + 9. Let v(w) = -5*w**2 + 4*w + 4. Let q(n) = -4*d(n) + 9*v(n). Let t(l) be the first derivative of -7*l**2\/2 + 8. What is t(q(m))?\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -7*t**2 - 2*t + 1. Let n be w(1). Find the common denominator of -17\/11 and (-2 + 2\/n)\/1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -47 + 164. Let g(y) = -13 + 118*y + 3 - c*y + y**2. Determine g(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10*-2*(-2)\/1. Suppose 13*k - 12*k = -g + 1, -9 = -4*g - 5*k. Let b be (140\/56)\/((-2)\/g). What is the greatest common divisor of b and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8495 and 0.1?\nAnswer: 849.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -80*w - 9 + 80*w - 23*w**3 + 22*w**3.\nAnswer: -w**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -236*i**2. Let b(g) = 5557*g. What is c(b(q))?\nAnswer: -7287738764*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -17726872 - 1.305703.\nAnswer: -17726873.305703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nhaahhpnpfphfhpch. Give prob of sequence nfaa.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**2 + 18*u - 17. Let g be t(-19). Differentiate 3 + 65*j**2 - 44*j**g - 4 with respect to j.\nAnswer: 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*p - 9. Let m(u) = -u**2 + 1 + 3*u + 2*u**2 - p - 2. Calculate m(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in -1.7, 3, -2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2140)\/3424*(-3)\/75?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/11 or 45?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 2. Suppose -5*p - n + 181 + 122 = 0, -246 = -r*p + n. Calculate the remainder when p is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 0*x = 2. Let s be 1360\/(-18) - (1 - x). Let z = s - -14285\/198. What is the common denominator of 29\/14 and z?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -11, 2, 19, 40, 65, 94?\n\"Answer: 2*i**2 + 7*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 5*k**2\/3 + 3480*k + 5425180\/3 = 0.\nAnswer: -1114, -974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.73 rounded to one decimal place?\nAnswer: 9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1149 is divided by 22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 624 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 553, 564, 577, 592, 609, 628, 649?\n\"Answer: p**2 + 8*p + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 24, 38, 52, 66, 80?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 3*f - 60, -2*f + 62 = 2*w - 54. Suppose -191 = -4*p + w. Let v = p - 52. Calculate the lowest common multiple of 118 and v.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 95 - -13095753408.\nAnswer: 13095753503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.058, -0.28, 4, -3, -5\/13?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -203 = -9*k + 22. Calculate the remainder when 223 is divided by k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290405 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 97237400+-3\nAnswer: 97237397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12 + 5. Suppose 0 = j - 2*v - 91, -2*v - 1 - 5 = 0. Calculate the highest common factor of u and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 7. Let h be f(0). Suppose -19 + h = -3*c. Suppose -20 = c*x, -x - 8 = -r + 6. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 164\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = 19*q + 80 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -284, 5, 3 in decreasing order.\nAnswer: 5, 3, 0, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*m + 3*c - 3, 4*c + 433 = 147*m + 8*c for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 103\/141 + -3\/47. Let y = 2 + 4. Let p = 6.2 - y. What is the closest to p in -4, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*b - 100 = 10*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 2 c when four letters picked without replacement from {c: 2, m: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 216.9718 tonnes?\nAnswer: 216971800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 3 - 4)*(-3*q**3 - 2*q**3 + 6*q**3) + 3*q**3 - 25*q**2 + 25*q**2 as d*q + p + u*q**2 + k*q**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*m + y - 5*y + 0*y = -2, -36*y - 13*y = 2*y - 139 + 37 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**3 - 66386819*m**2 + 437477*m - 58 wrt m?\nAnswer: 6*m - 132773638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of l**5\/5 - 2*l**2 - 11*l - 13. Let r(u) be the first derivative of y(u). Differentiate r(g) with respect to g.\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -15314.5 + 15314. Which is the nearest to -0.12?  (a) -10  (b) -1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 239*m - 8. Let a(g) = 6*g + 1. Determine z(a(h)).\nAnswer: 1434*h + 231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -543*l + 1238*l**2 + 845*l - 1240*l**2 - 302*l + 10.\nAnswer: -2*l**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of -g**4\/24 - 28*g**2 - 2. Let i(y) = 4*y**2 - 2. Let t(s) = 99*s**2 - 51. Let l(a) = 153*i(a) - 6*t(a). What is l(m(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes after 11:44 PM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2921597 is divided by 1100.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 287 and 408401?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 3*u**2 + 3*u - 3. Suppose -32 + 16 = -4*b. Suppose 5*a = -7*o + 4*o + 9, -4*o + 12 = -b*a. Determine z(o).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 7, s: 6}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -79571 rounded to the nearest 100?\nAnswer: -79600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5  (b) -3\/2  (c) -3  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 272911?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 476 divided by -43193\nAnswer: -476\/43193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**3 + x**2 - 2*x - 5. Let b be a(0). What is the remainder when (-33 - 2)\/(5\/b) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*c - 29 + 10*c + 29)*(c**3 - 17*c**3 - 2*c**3) to the form q*c**3 + j*c + v*c**2 + w + f*c**4 and give f.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (13\/((-234)\/(-24)))\/((-4)\/(24\/14)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/2*-3*5\/3. Suppose 3*j - 10 = -5*u + 21, -q*j = 4*u - 30. Solve -2*w - 2*k + 2 = 3*k, -u*w = 4*k - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*f - 12. Let l = -722 + 755. Calculate the highest common factor of l and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44.56697821 rounded to 3 dps?\nAnswer: -44.567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -22*v - 39 + 44 - 16. Let g = 5 + -19. Let u be n(g). Calculate the greatest common factor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-56)\/(-21)*(-246)\/(-4). Suppose 3*k = -2 + q. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 13) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -635, -1220, -1805, -2390, -2975?\nAnswer: -3560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 2*w = 36, -5*u + 23*w - 22*w + 52 = 0. Which is the second biggest value?  (a) -2\/3  (b) u  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (0 + 2 - 5) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(-21)*f*f)\/f*f)\/f**(-1\/28))\/((f**(-24)\/f)\/f*f*f\/f**(-30)) assuming f is positive.\nAnswer: f**(-671\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(3) - (1*sqrt(18))\/sqrt(6) - -1*sqrt(432).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51 = -15*s + 54 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 0 = 5. Let g = 7 - 11. List the prime factors of (19\/g)\/(w\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 - 1) + 345\/18. Let u = h - 16. Which is the nearest to 0.2?  (a) -4  (b) -1\/2  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 17 - 17. Which is the closest to o?  (a) -3\/2  (b) 0.5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 7*x + 6. Put x, 9, 3 in increasing order.\nAnswer: x, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1038241 is divided by 466.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 290802545.\nAnswer: 5, 11, 41, 128959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 2*b + 3. Let l be v(-2). Let i(g) = g**3 + g**2 + 2*g. Let r be i(-2). Let d = l - r. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*j - 146*j + 1337 = -112*j - 6840 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (68 + 0)*(-1218)\/(-1624) - 1\/(1\/(-4))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 69*x - 76*x + 2 - 2.\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7*(-1)\/35 + (-49)\/(-5). Let l be (-14)\/35 + -1 + 34\/o. Suppose 3*q + 12 = 0, 2*t + t - 85 = -l*q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*l**5 - 18*l**3*n**2 - 282*l**3*n + 3317*l**2*n**2 + 6*l**2*n wrt l?\nAnswer: -180*l**2 - 108*n**2 - 1692*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 + -18*(-35)\/56 + 1243\/452)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -1932*g**2 + 789*g - 789*g - 2207*g**2. Let n(b) = -2*b**2. Determine n(z(k)).\nAnswer: -34262642*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w\/w**(-2)))**(-1\/24)*(w**(1\/6))**(2\/61) assuming w is positive.\nAnswer: w**(65\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (280 - -12)*(195\/10 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 72\/88 + 4\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4071321*o**2 + 57*o + 20672 wrt o.\nAnswer: -8142642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 110 = -g. Suppose 0 = -0*p - 5*p + g. Does 5 divide 4\/22 - (-493)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 10. Let q be (-2)\/((-2)\/1) + (-46101)\/1287. Let u = q - -104\/3. Which is the biggest value?  (a) 1\/7  (b) u  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2750966003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-330)\/(-77) + 2\/(-7). Let j be k\/(8\/6) + -29. Is j greater than or equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -0.06913  (b) -0.16  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31998?\nAnswer: 2, 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -5, -0.4, 4\/7, 0.9, -2\/7, 5, -788?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 569 = -575 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1631102 divided by 22.\nAnswer: -74141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = s - 4, -96*r = -101*r + 4*s - 16. What is the biggest value in 1\/2, 8, r?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 518 + -318. Calculate the greatest common divisor of 50 and t.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000616 rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-164)\/(-12) + (-4)\/6. Suppose 0 = 4*z - 2*v - 22, -2*z + n = 4*v - 3. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6 + (5 + -2)*-1. Solve 2*i - o = 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -3  (b) -3\/2  (c) -1\/9  (d) 1  (e) -2317\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -202?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2405, 2377, 2347, 2315, 2281, 2245, 2207?\n\"Answer: -f**2 - 25*f + 2431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 475918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 74197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**4*w**2 + 5*a*w**2 - 79*a*w + 173*w**2 wrt a?\nAnswer: 4*a**3*w**2 + 5*w**2 - 79*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15091 - -15090.973276. What is k rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*g**3*j**3*z + g**3*j*z**2 - 92*g*j**2 - g*j*z**2 + 7*j**3*z**2 + 2*j**3 + 2*j*z**2 wrt j?\nAnswer: -84*g**3*z + 42*z**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242 is divided by 224.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**4\/4 + 3375*r**3\/2 + 216340*r**2 - 892440*r = 0 for r.\nAnswer: -1206, -148, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9400 and 11044060?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47*248.\nAnswer: 11656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1121045423 to the nearest integer?\nAnswer: 33482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 180585474?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 + -32. Which is the biggest value?  (a) -12  (b) -4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (17 - (-14 + (7 - -21))).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 62*s - 690. Determine w(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-174)\/84*-2 + 1\/(-7). Suppose 0 = -h - 3*y + 137, 4*h - 593 = v*y - 7*y. Is 18 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j - 7. Let k be f(0). Let u(w) = -3*w**3 - 7*w**2 - 8*w - 6. Let v be u(k). Suppose -3*c = 4*r - 587, -5*r + 0*r = 3*c - v. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 - -12.6. Let q = -1.34 - -0.39. Let g = f - q. What is g rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 291*c**3*h**2 + 2*c**3*h + 60*c**2*h - 2*c**2 + c*h**2 - 101*c - 211042*h**2 + 345*h wrt h.\nAnswer: 582*c**3 + 2*c - 422084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6*m. What is the units digit of w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 22*q + 18, 4*q - 341*j - 20 = -343*j for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 80 = 5*f - 4*l, -42 = -3*f + 49*l - 47*l for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {m: 5, h: 2, s: 3, g: 5, j: 4}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21 + -11. Calculate the remainder when 27 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 24*s - 24960. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/((-640)\/36))\/(3\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 6*r = -3*y + 192, 0 = 5*y - r - 320. Let g = 159 + y. Let q = -153 + g. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -327887?\nAnswer: 3\/327887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -3\/8  (b) 0.4  (c) 11  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most 334588\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (22\/55)\/((-24)\/(-75)). Sort -2\/7, 5, x in ascending order.\nAnswer: -2\/7, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-99)\/(-15) - 4\/(-10). Let r be 0*(-2)\/6 + -28. Let w = r + 56. Calculate the greatest common factor of x and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2\/2 - 7791234*p - 10117221207126.\nAnswer: -3*(p + 2597078)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/(100\/(-465)))\/((-1)\/4). Let u = -87 - r. Let n(o) = -o**3 + 4*o**2 + 4*o + 7. Calculate the remainder when u is divided by n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 241973639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 75 and 18135.\nAnswer: 90675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(190)*-3)\/sqrt(10) - -6*(sqrt(304))**2)*-2.\nAnswer: -3648 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*k**2 + 115*k**3 - 124*k**3 - 2*k**2.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -679*q - 176*q - 1422*q.\nAnswer: -2277*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*n - 262*n**3 + 3*n**3 - 8650 - 408*n**3 + 70*n**3 wrt n?\nAnswer: -1791*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*h*h**22)\/h**(2\/7))\/(h*h**(-3\/11)\/h*h**(1\/2)\/h))**(-34) assuming h is positive.\nAnswer: h**(-64107\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 726 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 13*b**3 - 34*b**2 + 7*b - 147. Does 18 divide j(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 863353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 897073516?\nAnswer: 2, 101, 2220479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2996*j**5 - j**4 - 51*j**3 + 635*j**2 + 396.\nAnswer: 179760*j**2 - 24*j - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1635705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2891, -5784, -8677, -11570, -14463, -17356?\n\"Answer: -2893*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -611611 rounded to the nearest one thousand?\nAnswer: -612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5429 is divided by 1754.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 16*m**2 - 8*m + 1. Calculate the remainder when c(3) is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is ((-446)\/3)\/(12\/(-54)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qkfk when four letters picked without replacement from {q: 4, o: 2, d: 2, f: 2, k: 3}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l**3 + 2771 + l**3 - 24*l - 10*l + 34*l + l**3 - 2764.\nAnswer: 2*l**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 31 = 4*j - 11, 0 = -j + 4*h + 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hacac. What is prob of sequence cah?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2162810, 4325618, 6488426, 8651234, 10814042, 12976850?\n\"Answer: 2162808*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 247, 245, 243, 241, 239, 237?\n\"Answer: -2*m + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2043.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*y + 16*y + 15*y + 16*y - 8*y.\nAnswer: 27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -2, -6607 in increasing order.\nAnswer: -6607, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 224 = -5*z + 67, 0 = -5*z + 15. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 118381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -423206 divided by -11438?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 10) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -aa?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(6 - (-39)\/(-6)). Suppose -3*a + n*d + 32 = 0, 4*d - 62 = -7*a + 4*a. Suppose -y + 11 = -7. Calculate the smallest common multiple of a and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 + -7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*b + 6 = -10*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the first derivative of n**6\/45 + 22*n**5\/25 - n**4\/30 - 22*n**3\/15 - 1388. Determine g so that w(g) = 0.\nAnswer: -33, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2\/3)\/((-106)\/3816)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**3 + 6*l**2 - l - 1. Let j(k) = 3669*k**3 + 56*k**2 - 4*k - 20. Let t(o) = -4*c(o) + j(o). What is the third derivative of t(n) wrt n?\nAnswer: 21966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3130 (base 4) to base 6.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - c - 1)*(-357 - 3266 - 6756).\nAnswer: 10379*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -10288456.4\nAnswer: 10288456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 4, m: 2, c: 3}. What is prob of picking 2 m?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33699*k**3 - 2*k - 101083*k**3 + 33691*k**3 + 33685*k**3.\nAnswer: -8*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/281 and -31\/5?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 6\/5  (b) -3\/5  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 1:16 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7\/33 + 97\/165. What is the closest to 1 in -5, -1.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 300766 or 300764?\nAnswer: 300764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -7*i**2 + i + 7. What is g(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**4 + n**2 - 4*n**2 + n**3 + 2*n + 0*n**4 - 2*n**3 to q*n**2 + d*n**4 + x*n + a + h*n**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4272 + 26061 = 29*h - 22059. What is the highest common factor of h and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3 + 2\/(6\/27). Suppose 0 = -2*m - m + k. Let f(t) = m - 1 - 2*t - 1. Let q(v) = v. What is q(f(n))?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 506 is divided by 106?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (0\/10)\/(((-2)\/(-1))\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 19, -21, -81, -155, -237, -321, -401, -471?\n\"Answer: a**3 - 16*a**2 + a + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -473*v + 88*v + 1155 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that w**2 - 3648*w + 101360 = 0.\nAnswer: 28, 3620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 230*z - 35 = 232*z, -y = -4*z - 47. Solve -22 = 12*i - y*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-4)*(-6)\/(-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 12, -5*o = 5*s - 0*o + 30. Let d be ((-6)\/(-18))\/(1\/s). What are the prime factors of (-58*(1 + 2))\/(d\/2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -4*z**2 - 5*z + 14. Let r be p(-2). Solve 4*q + 8 = -r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 0*x - 5 = 0. Suppose -5 = -k - x*m, -2*k + 3*k - 3*m - 5 = 0. Let h(i) = 2*i**3 - i**2 - 5. Let n(v) = -1. Determine k*n(q) - h(q).\nAnswer: -2*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 15, -1, 337 in ascending order.\nAnswer: -1, 2, 15, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31969 + -31970. Which is smaller: h or -1\/11859?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*1*sqrt(91) - sqrt(91))\/(sqrt(112)*-3)*5.\nAnswer: -5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 8*s + 9. Let b(n) = -12*n - 12. Let r(m) = 2*m + 2. Let j(p) = -6*b(p) - 34*r(p). Determine -7*j(q) + 3*y(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/i**(-3\/8)))\/i*i*((i*i**(1\/5)*i)\/i)\/i*((i*i*(i**(-13)*i)\/i)\/i)\/(i\/(i\/((i\/((i*i\/i**(1\/7)*i)\/i)*i*i)\/i))))**(-23) assuming i is positive.\nAnswer: i**(79327\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 179936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + x + 2*x = 6, -15 = -5*z + 3*x. Suppose -2*i + 0*i - 167 = -5*u, -u + 15 = -5*i. Let p = 31 - u. Sort 4, z, p in increasing order.\nAnswer: p, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18198377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of u**6\/45 - 4*u**5\/75 + u**4\/30 - 234. Determine r, given that l(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in three sixteenths of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -12\/7  (b) -1\/2  (c) 1445  (d) 0.3  (e) -2  (f) -0.4  (g) 8\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 14) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the third derivative of 1021*a**6\/120 - a**4\/4 + 83*a**3\/6 + 1152*a**2. What is the second derivative of s(m) wrt m?\nAnswer: 6126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23460 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.6331 and 66.\nAnswer: -41.7846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 35\/(-14)*(-4)\/2. Let k be 2 - (-4 - -17) - 0\/1. Let q = 16 + k. Solve -5*t - 4*s + 6 = 0, -q*t + 0*s + 5 = f*s for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 708023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1450978 to the power of 1\/2, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3\/5, 0.1, -346, -4\/5, 4, 2\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -20\/3, 5, 1, 151 in descending order.\nAnswer: 151, 5, 1, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of w**6\/12 - 9*w**4\/8 - 985*w**3\/6 - 3024*w**2. Differentiate d(v) wrt v.\nAnswer: 30*v**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -134 (base 8) in base 2?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -5*j + 210, 2*v = -2*j + 32 + 58. Let y be (-8)\/12*36\/(-3). What is the greatest common divisor of j and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24603563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.199304 decades to months.\nAnswer: 743.91648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 24420 + 3?\nAnswer: 24423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l**3 + 4*l**2 - 22*l + 36. Give t(2).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -1. Let n = 1 + w. Let m(q) be the second derivative of -q**5\/10 + 2*q. What is m(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-4)\/(-168) + 927\/189.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 176 + -874?\nAnswer: -6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -136 + -311. Let z be -2 + 0 - (n + 4). Suppose 3*i - z = -4*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142206441.\nAnswer: 3, 13, 3646319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 m, and 1 h when three letters picked without replacement from mmmghmmhmmmmmmmgmh.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -115*u**3 - 3*u**2 - u**2 + u + 41*u**3 + 5*u**2 + 3*u as x*u**2 + j + k*u**3 + p*u and give k.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -15*n**3 + 55*n**2 - 25*n - 15 = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + p. Suppose p*w = -5*z + 2*w + 180, 36 = z - w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 4 - 3*p - 3*p + 2*p + 3*p. What is w(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s - 102 = -123. Let a(y) = y**2 - 2*y - 1. Let g(o) = o**2 - 3*o - 1. Determine s*a(u) + 2*g(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, x: 1, b: 6, d: 5}. What is prob of picking 2 u, 1 x, and 1 b?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21323713877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - s**2 + s + 38. Let n be x(0). Suppose 5*y + 23 = 3*p, 0 = -0*p + 4*p - 3*y - n. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*f**4 + 6225*f*t - 466*t + 62 wrt f?\nAnswer: 32*f**3 + 6225*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*u - 5*u - 2*u + 4*u to the form y*u + w and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 4, l: 2, s: 3, m: 1, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000367385645 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 3*s. Let z(h) = -2*h - 111. Calculate z(d(g)).\nAnswer: -6*g - 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2981462 (base 10) to base 12.\nAnswer: bb9472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - a + 5*a)*(-a**2 - a**2 + 3*a**2)*(0 - 2 - 1)*(-1 + 0 + 2)*(-2 + 2 - 1)*(-107 - 5 - 73).\nAnswer: -1110*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v + 2*v - 72 = i, -5*v + 5*i = 90. Let r be (15 + 1)*v\/(-180)*-9. Suppose 0 = f - 0 + 5. Which is the closest to 1\/3?  (a) f  (b) r  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -789242*g - 736410?\nAnswer: -789242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(119) + sqrt(119) + sqrt(119)*1)*4 - sqrt(119) - sqrt(119)))\/(sqrt(49)\/(1*sqrt(7)*-1)).\nAnswer: 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 170 - 14*r - 170 as a*r + b and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6678630 plus 0?\nAnswer: 6678630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 - 8*n - 5. Let q = -2 + 6. Suppose 0 = -q*c + 3*c - 3, 3*m + 15 = 2*c. Let a be p(m). Solve -2*z - 3*k = -4, -4 = -z + 2*k - a for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 10:25 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (364\/70 + -4)\/(3*(-42)\/20).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 6*d - 199. Calculate t(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.23?  (a) -0.2  (b) 0  (c) 1\/5  (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*p + 82*p = 780. Let k(n) = -9*n**3 + 13*n - 13. Let a(l) = -2*l**3 + 3*l - 3. Determine p*a(f) - 6*k(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-5) + 17\/5. Suppose 4 + 2 = -a*d. Let u = -4 + 3. Which is smaller: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -477221 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -4*b - 197, f + 255 = -5*b + 6*f. Let k = 84 - 18. Let p = b + k. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -4*o - 35, -4*a + 7 = -5*o - 38. Suppose -z - m + 1 = 4, -a*z + m = -15. Let n(r) = 61*r - 4194. Let p be n(69). Solve 0 = f + z*f - p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-18)\/27)\/((-1)\/(-9)). Put a, 3, 2, -2 in descending order.\nAnswer: 3, 2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 52 - 52. Sort -5, -0.2, n.\nAnswer: -5, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7289259 and 32301.\nAnswer: 21867777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) be the first derivative of 137*o**3\/3 - 15*o**2\/2 + 2*o + 176. Find the second derivative of u(x) wrt x.\nAnswer: 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**6*z*z)\/z**(-5))**(-10\/11))**36 assuming z is positive.\nAnswer: z**(-4680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-1 + 1 - 0) - 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 27*s - 571. Give l(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 58 + -51. Suppose l - 4*q + 15 = 0, -3*l - 17 = 2*q - b*q. Is -3 + 7 + 1146 + l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1745417 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000784646224 rounded to 7 decimal places?\nAnswer: -0.0000785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 107 - 592. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -450 + 450.00589. What is c rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -201*g - 22103. Determine k(-110).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sssssszsssszzss. What is prob of picking 1 s and 1 z?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6 and 31.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.5  (b) -2\/41  (c) 92  (d) -4\/7  (e) 1\/166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2165 = -2*p - 5*u, -2*p + 2150 = -4*p - 2*u. Round p to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 9.7041 and -0.14.\nAnswer: -1.358574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 20*x**2 + 60*x + 50. What is s(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 11*h - 48 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14037*p + 4*h - 96 = -14033*p, 105*p = -2*h - 273 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (2755456\/(-5440))\/(-22) + 8\/(-340)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 115*j - 142 - 69 + 96. Solve r + j = -5*y, -41*y + 40*y + 4*r = 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/216 and -101\/6106158.\nAnswer: 24424632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z - z + 0*z)*(-206*z + 83*z - 309*z).\nAnswer: -1728*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q + 4*c = -148, -3*q + 5*c + 81 = 0. Calculate the highest common divisor of q and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from yklkrrknnk?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -e729 (base 15) to base 7.\nAnswer: -262314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 284 divided by 2125?\nAnswer: 284\/2125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -127 - -130. Suppose -g + 2*s = -221, 2*s - b*s = 2*g - 417. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30.09 - 29.52. What is the second biggest value in -3\/5, -0.4, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.16 + -0.14. Let r = v - -0.02. Let t = r + -3.04. What is the nearest to -1 in -1, t, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 + v + 1. Let h be k(-5). Let q be (-154)\/h + (-4)\/(-3). Is (-68)\/q*(-2 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = m - 4*m. Let b be (m - -48) + (-2 - 1). What is the remainder when 11 is divided by (-8)\/(-40) - b\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5.43 times -11\nAnswer: -59.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31453, 62904, 94355, 125806?\nAnswer: 157257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - z)*(3*z + 0*z - z) + 2 - z**2 - 2)*(6 + 15 - 6)*(0*z + 3*z - z).\nAnswer: -90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 1 + 5)*(-m**3 + 4 - 4) - 5 + 5*m**3 - 2 + m**2 - 6*m**3.\nAnswer: m**3 + m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -20*r + 2. Let w be (-7)\/(-35) + (-1)\/5. Suppose w = 3*s - 4*s - 5. List the prime factors of g(s).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 172 (base 8) to base 4\nAnswer: 1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 20852*x**2 + 17*x. Let u(z) = -z**2. Calculate d(u(q)).\nAnswer: 20852*q**4 - 17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*u**2 + 16*u**2 + 204 - 242 - 847.\nAnswer: 16*u**2 - 885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 5*m**3 + 9*m**2 + 7*m + 285. Let b(c) = -3*c**3 - 5*c**2 - 4*c - 142. Let d(q) = 7*b(q) + 4*j(q). What is the hundreds digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*q - 6*q + 11*q to o + f*q and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - 1)\/((20\/25)\/((-200)\/(-375)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1711016?\nAnswer: 2, 17, 23, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/6)\/(140\/(-60)*(-6)\/63)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -31.3 + 787.3. Let q = -756.05 + j. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2*o - 6. Let j be o - -1 - (11 + -10). Let b be 2 + (0 - j)*1. Solve -5*l + l + 15 = -x, -l + 4*x = b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 74*m - 18*m**3 + 20 + 30*m + 56*m**2 - 257*m + 95*m = 0.\nAnswer: 1, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-1)*(-48)\/216\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57\/95)\/(((-2)\/(-3))\/(10\/24)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, 4, 30, 10.5, 3\/5 in increasing order.\nAnswer: -2\/11, 3\/5, 4, 10.5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -170 divided by 162\nAnswer: -85\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of v**4\/4 + 16*v**3\/3 - 29*v**2\/2 - 101*v + 222. Is n(-17) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-32032)\/2574 + (-24)\/(-2)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**0*m*m**(3\/7))\/((((m*m*m*m**(-1\/2))\/m)\/m*m)\/m*m**(-2\/13))*(m*m**(2\/7)*m)**(-36)\/((m\/m**(1\/3))\/(m**4\/m)) assuming m is positive.\nAnswer: m**(-42517\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/13 in -0.4, 19, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1833166302.\nAnswer: 2, 3, 11, 27775247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -176571524 + 3?\nAnswer: -176571521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q - 3. Let n(v) = -2*v - 1 + 6 + 1 - 4. Let k be n(3). What is the units digit of r(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 7235 = -7243 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 2, -10, 22, -2 in ascending order.\nAnswer: -10, -2, 2, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1263 + -1280 - (-100)\/6 - ((-47)\/(-3) - 0)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 6. Let k(q) be the first derivative of -d*q + 1 + 0*q**3 + 3\/2*q**2 - 1\/4*q**4. Factor k(p).\nAnswer: -(p - 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vsk when three letters picked without replacement from rsvvsvvdsrkvvd.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + (4 - 1 - (29 + 0 - 20)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 92*s - 279*s + 95*s + 91*s. Let j(g) = 7*g**2 - 5. Calculate j(n(o)).\nAnswer: 7*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8064545 to the nearest integer?\nAnswer: 2840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 2\/7, -159, -84026?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8257080 divided by -8710?\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 9*o**2 - 11*o + 13. Let z(m) = 4*m**2 - 6*m + 7. Let a = -751 - -757. Determine a*b(y) - 11*z(y).\nAnswer: 10*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of 7*r**4\/4 - 2*r**3\/3 + r**2 + r + 7. Is y(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**2 - d. Let i(u) = -3*u**2 + 4*u - 7. Let f(a) = -6*a**2 + 9*a - 13. Let q(g) = -3*f(g) + 5*i(g). Let z(y) = -2*o(y) + q(y). Determine z(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5060099177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -42 times 4891?\nAnswer: -205422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of 23*k**4\/24 - 89*k**3\/3 - 2*k**2 - 1144. Calculate p(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z = 5*y + 15, -1074*y - 13 = z - 1071*y for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {w: 1, f: 1, z: 2, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-5))\/((-64)\/20 + 2). What is the nearest to l in 4, -0.4, -45?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 6*y + 4, -x + 2860 = -4*y. Suppose -6*l - x = -10*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -13*h + 159. Let w be f(7). Calculate the greatest common divisor of w and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5 - -4. Which is the nearest to 2?  (a) 3  (b) 3\/2  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*r - 3. Let g be (-19)\/798 + (-4038)\/(-252). Solve 2*t = -3*d + 7*d - g, -r*d + 9 = -3*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**16*d*d**(-27)*d*d assuming d is positive.\nAnswer: d**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d - 3*z + 2896, -38*d - 2*z - 8655 = -41*d. Suppose -3 = -s, -5347 = -5*u + 4*s + 6281. Suppose u + d = 5*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1372 + c?\nAnswer: -1363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + 7 + -1 + 0 + -166 + 165.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (2196\/60)\/3?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - q + 18. Let v = 291\/10 + -128\/5. Calculate the common denominator of v and -3 - 1\/q*31.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**31\/s**(-41))\/(s**46\/s)**(-10\/7) assuming s is positive.\nAnswer: s**(954\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 4*r - 264 = -o, 330 = 5*o - 2*r. Suppose -u + 7*u - o = 0. Suppose k - 24 = u. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1451909 to the power of 1\/2, to the nearest integer?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2*i**2 + 7*i + 8. Determine q(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(117)*-4)\/(sqrt(108)\/((sqrt(12) - (sqrt(12) + (sqrt(432) - sqrt(12))) - sqrt(12))*2)).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 591 divide 126845148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -2*u**2 - 20*u + 25. Let i be q(-11). Suppose v = -z + i, 4*z - z - 16 = 4*v. Suppose -2*f + 0 = -8. Calculate the highest common divisor of f and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n + 3. Let x = -1\/2 - -11\/6. Which is the biggest value?  (a) -1  (b) n  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 654 - 212 = 2*z, -z = -x + 103. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 11*y. Let m(c) = -2*c. Suppose 1 = -2*r + 13. Suppose 0 = -3*v - r. Determine v*d(j) - 10*m(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and -12.9.\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**5\/16 + 5*r**4\/48 - 5*r**3\/12 + 14*r. Factor y(l).\nAnswer: 5*l*(l - 1)*(l + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33101 and 6704?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -24, -204, -702, -1680, -3300, -5724?\n\"Answer: -27*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-160)\/(-432160))\/(77\/5698)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 2\/647  (b) -3  (c) 9  (d) 4\/11  (e) -5  (f) 4  (g) 0.22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -205*y**3 - 5*y + 203*y**3 - 3*y + 8*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 47 = 2*q, 0*f + 5*q = -3*f + 196. Let n be f\/9 - (-1)\/(-3). Solve -2*i + 2 = n for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 - -16.2. Let v = -65 - -31. Let y = -43 - v. Which is bigger: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = i, 3*a - 370*i + 13 = -372*i for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0263 times 0.515?\nAnswer: -0.0135445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - 2*q - 1. Let d be z(5). Let n be d - 11 - -191*1. Round n to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -3, -5, -1, 2 in decreasing order.\nAnswer: 2, 1, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -392 divided by -196.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88 + 141 = -52*u - 395 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/471 and 77\/96.\nAnswer: 15072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -211.924946 rounded to 1 decimal place?\nAnswer: -211.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/72*-33 - (-2)\/(-8)*1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 12, -4.6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*z**2 - 3*z**2 - 67 + 253 - 116 - 70.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 8*s**5\/25 + 51*s**4\/20 + 38*s**3\/5 + 10*s**2 + 24*s\/5 - 912. Solve l(i) = 0.\nAnswer: -2, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/15, 9, -86.\nAnswer: -86, -2\/15, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (49\/(-21) - -4)\/((-5)\/(-6)). Put -3, 0, i, -5 in ascending order.\nAnswer: -5, -3, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2176\/102)\/32)\/((10\/(-75))\/(3\/5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 27363 = -2*p - 20429, 5*p = y - 23916. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a millisecond in microseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 142920 and 6520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2 + 10\/(-4) - (-42)\/12. Suppose x*l = -0 + 6. Sort l, -2, 3, 0.\nAnswer: -2, 0, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**2 - 7*s + 4. Calculate the remainder when 7 is divided by l(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h - 9*h - 4*h + 2*h + 1. What is y(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 108, 127, 146?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d + 3*d - 3 - 4*d - 3*d - 3*d + 4*d + 3*d - 3*d + 2*d + (0*d + 3*d - d)*(-2 + 3 + 1) + 3*d - 7*d + 3*d - 66*d - 56*d - 19*d.\nAnswer: -140*d - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -16 and -26445541?\nAnswer: 423128656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 28116, 28118, 28120, 28122, 28124?\n\"Answer: 2*o + 28114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5865182443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3 - -0.5. Let n = j - 0.80025. Round n to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/21*(10 - 876\/180). Is p <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of i**6\/120 - i**5\/6 - 7*i**4\/24 + 5*i**3\/2 - 2*i**2 + 1. Let q(c) be the second derivative of j(c). Is q(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 813 divided by -3\nAnswer: -271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 897 and 1483638.\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 2*q**2 - q)*(-4 + 2*q**2 + 4)*(-19 + 19 + 19*q) + (8*q**3 + 5*q**3 - 9*q**3)*(-2*q - 2*q**2 + 2*q).\nAnswer: -84*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -99*v**3*w**2 - 2*v**3 - 2225*v**2*w + 3*v**2 + 624*v - 79 wrt w?\nAnswer: -198*v**3*w - 2225*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/(-168) + (-2)\/8. Is 0 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 72 - -4828?\nAnswer: 489a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515 is divided by 132.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in -673, 1\/3, 3\/2, 5, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/147069 and 74\/213.\nAnswer: 10441899","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of -h**3\/3 - 5*h**2\/2 - 2*h + 3. Let f(d) = d**3 - 6*d**2 - 11*d - 45. Let x be f(8). Give v(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41625 (base 9) to base 5.\nAnswer: -1334412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2)\/i)**(-32))**(1\/33) assuming i is positive.\nAnswer: i**(32\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/(-1*(-3)\/15). Let v be (2 - 0) + w + 50003. What is v rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11788 - -11820. Solve h*d = 28*d - 3*i + 15, -i = -d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -16. Suppose 5*t - x*t - 63 = 0. Let u = 21 - t. Solve -d = -u*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 790, 1574, 2358, 3142, 3926?\n\"Answer: 784*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*q = -64*q + 3. Solve -q*a + 7 = -5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 14091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 72 and 2724?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-4 - (5 - 3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*t**2 - 23*t + 34*t + 29*t wrt t.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1530 - -1525. Let y be ((-6)\/(-9))\/((-2)\/(-3)). What is the nearest to y in 0.4, 1\/3, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g + 4*g + 20*g**2 - 5*g to x*g + u + r*g**2 and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*o = 33*o - 7104. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 153 + -149. Suppose 98 = 5*q - 3*s, 60 = 3*q - q + 4*s. Solve t - p*k = -q, 4*k = -2*t + 2*k + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m + 2. Let z(i) = -1. Let g(l) = l**2 + 5*l - 3. Let q be g(-6). What is q*z(j) + a(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -6*y + 3. Calculate the least common multiple of 3 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 2*l - 1. Let z be u(-3). Suppose -3*t = -5*f + 48, 3*f + 2549*t = 2545*t - 35. Solve -5*x = z + f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 + -786.2?\nAnswer: -757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of 13*w**2\/2 - 19*w - 3786. What is f(4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 109 + 8 - 3594*b + 0 - 117 as n + r*b and give r.\nAnswer: -3594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 79 + 25 = 0. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.3 and 1?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0757 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6831 divided by 297.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 102*p**2 - 1534*p + 67. Calculate h(15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 11*s**2 + 4*s - 2. Let b(j) = 2*j**2 - 1. What is 4*b(z) - c(z)?\nAnswer: -3*z**2 - 4*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -5*n + 28030, 2*u - n + 22424 = 6*u. Let c = 78537\/14 - u. Find the common denominator of c and -53\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46725535 and 230.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 415 + 151 - 2986 + r**2 - 2*r**2.\nAnswer: -r**2 - 2420","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1291807032 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4  (b) 0.09  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1960 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -3*b**2 + 73*b - 6. Give g(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-4 - -5 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -0*z - 45. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 a factor of 61729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 1. Let v(i) = i**3 - 8*i**2 + 6*i + 5. Let p be v(7). What is h(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -4*u + 91. Suppose -18*q + u*q = -4607. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + -2. Let s = 0.49 + -2.49. Which is the second smallest value?  (a) 2  (b) w  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13152*s*y**4 - s - 337 wrt y.\nAnswer: 52608*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 226451322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 10*n. Let c(u) = 28*u - 1. Determine 6*c(y) - 21*p(y).\nAnswer: -42*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q + 123 = 97. Let u be (-9)\/18*(-8)\/(-34). What is the second smallest value in -0.3, u, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4\/25 - 1\/150. Let s(t) = 9*t + 57. Let k be s(-7). Let d be 2\/k*1 + 28\/156. What is the second biggest value in 6\/7, d, y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8\/48381 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 2*p = -18, 5*s + 4 = -5*p - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -14*v**3 + 8*v**2 + 352*v + 2035. Give m(-6).\nAnswer: 3235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*w**4 - 6*w**2 + 6*w**3 - 80 - 7*w**3 + 7*w**2 wrt w?\nAnswer: 96*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 311.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 383\/5 + -77. Let w = 17 + -19. What is the smallest value in o, w, 0.11, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -204, -387, -556, -711, -852, -979?\nAnswer: -1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -141, -3, -87, -18 in descending order.\nAnswer: -3, -18, -87, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 87 a factor of 11306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 + -0.7. Let x = -0.44 - -0.5. Let h = x + -0.06. What is the third smallest value in v, h, -1\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, 0.2, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is (9 + -8)\/(1\/113) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -2657\/229?\nAnswer: -2657\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - y + 1. Let r(k) = -8*k**2 + 5*k - 23. Let l(g) = 3*n(g) - r(g). Let j be -3 - (0 - 3) - -13. Is l(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 - 70. Let q = c + 25. What is the biggest value in q, -1, 0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2)*-2 + -4)**2 + (-4 + (sqrt(2) - (-1 + sqrt(2))))**2.\nAnswer: 16*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 4*l + 6674349*o - 6674351*o, -9*l + o = -277 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02795627 less than -5?\nAnswer: -5.02795627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 6:36 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (382*o**2 + 277*o**2 - 142*o**2)*(-1 - 4 + 2) in the form t + u*o + v*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3627983066 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -4*c + 679 + 3261, -3*k = 5*c - 4915. Calculate the highest common factor of c and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.141 * 65\nAnswer: 74.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 2*x - 42 = 0, -4*x = 2*i + 3*i - 46. Let t = -39 + 66. What is the remainder when t is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -2*x + 38*h - 34*h, -3*h = 2*x + 10 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.217961551 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 3 h when four letters picked without replacement from {h: 7, n: 4, b: 4}.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.54  (b) 1  (c) 0.3  (d) -58.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 3*o - 960, -3*l - 2*o = -8*l - 1193. Let h = 399 + l. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 40*i - 78. Let k be h(2). Which is the nearest to -2\/5?  (a) 0.8  (b) -1\/2  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1164 = 261*x - 56*x + 1501 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from zaazaaammaaaammm.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5739 + 4427.8.\nAnswer: -1311.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 40d9c (base 14) in base 11?\nAnswer: a7517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 + (-100 - 154) - -12?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lltttddtlltttllltt. What is prob of sequence tltd?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lylxxkzxzlsllzz. What is prob of picking 3 x and 1 z?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76*s - 1105 - 1935 = 0 for s.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -83, -85, -87?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8238455 + 14*j**3 + 8238455 + j.\nAnswer: 14*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -176 (base 10) to base 13\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 3*a**4\/4 - 3*a - 3. What is the first derivative of f(l) wrt l?\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -22 + 28 - 31*n + 92 + 20*n. What are the prime factors of o(-14)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 13. Solve -a*q = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 3*n = -3853, 25*l + 3*n = 22*l + 5832. List the prime factors of l.\nAnswer: 13, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.79678 and -771.\nAnswer: -773.79678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58 - 54 - 69 - 11*w)*(w + w - 4*w).\nAnswer: 22*w**2 + 130*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -378159, -378032, -377903, -377772?\nAnswer: -377639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.56 and 3.\nAnswer: -1.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 144788 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/8 + 4\/8. Suppose -4*f = -x + 17, -2*x - 2*x + q*f + 68 = 0. Calculate the remainder when 48 - (24\/(-6) + 3) is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49*v**3*z**3 - 223*v**3*z + 75*v**2*z - 621*v*z - 2472403*z**3 wrt z.\nAnswer: -294*v**3*z - 14834418*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(343) - sqrt(343)*1)**2 + 1 - (-2 + sqrt(343))*-1).\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27846856231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes before 5:07 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 8:14 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18767 and 1568.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.0672 and -1?\nAnswer: 0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4115 - 60?\nAnswer: -4205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10582818 less than or equal to 10582814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 31\/3, 2\/13, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/67  (b) 8154  (c) 3  (d) -2  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/2484 and -87\/83168.\nAnswer: 2245536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 207424*s - 1037126. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l + 10 = -l. Suppose 3*p + 5 = -4, -l*s - 5*p = -201. What is the greatest common divisor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 178 divide 1090980690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 3  (b) 4  (c) 2\/15  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 352*l - 55. Let s(r) = 8*r + 1. Let m be s(-7). Let a(x) = 13*x - 2. Let i(g) = m*a(g) + 2*j(g). Let c(t) = -2*t**2. What is c(i(v))?\nAnswer: -242*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -1467505*o + 40. Let i be v(8). What is i rounded to the nearest 100000?\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 996?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (1*(-4 + 6*(sqrt(2299) + -5)) + -2)**2*-5.\nAnswer: -420296 + 23760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46500)\/180*(-12)\/100?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.287 - 0.713. Which is the smallest value?  (a) -0.6  (b) 6  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -295890 rounded to the nearest 1000?\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 7*d**3 - 15*d**2 + 4*d - 4. Let a(u) = -20*u**3 + 44*u**2 - 13*u + 12. Let k(w) = -6*a(w) - 17*c(w). What is the tens digit of k(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1285599*m**4 + 1012*m**2 - 2*m - 174 wrt m?\nAnswer: -30854376*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7446*k**2 - 3922*k**2 - 3529*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 7*w - 110 = 0. Let v = -131 + w. Let m be 14\/v + 2 + (-395992)\/(-6). What is m rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 290185?\nAnswer: 5, 7, 8291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 389, 398, 423, 470, 545, 654, 803?\n\"Answer: b**3 + 2*b**2 - 4*b + 390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) -19\/3  (c) 6  (d) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 71879639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 289, 1730, 5329, 12064, 22913, 38854, 60865, 89924?\nAnswer: 127009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5ae9 + 3?\nAnswer: -5ae6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -2*r. Suppose -3*k + 24 = k. Let s = 0 + 18. Suppose -k*d + 0*d = s. Let y(h) = 2*h. Determine d*m(z) - 2*y(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5770 and 14060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -0.01*-19\nAnswer: 0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 5*x + 8. Let p be k(-2). Let t be 4*(p + 44\/16). Suppose 201 = 2*n + 5*j, 2*j - 35 = t*n - 384. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o + 3973 = 3984. Let g(d) = d**2 + 1. Let s(l) = -3*l**3 - 6*l**2 - 21. Determine o*s(m) + 6*g(m).\nAnswer: -3*m**3 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1878372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 166500 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - w - 16 = 5, n - 4*w = 16. Let g be 1\/(n\/(-32))*-1. Let v(m) be the first derivative of m**4\/4 + 3*m**3 + 7*m**2\/2 - m + 3. Give v(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 306967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 473190.\nAnswer: 2, 3, 5, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 321320111012121 + 11?\nAnswer: 321320111012132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 3*x**2 - 36*x + 29. Is 17 a factor of i(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 2*d**3 - d**2 - d - 2. Let y(x) = -15*x**2 - 4*x - 3. Let q be y(-3). Let i be 32\/14 + 36\/q. Give h(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134 = 5*t - 3*y, 2*t = -0*t + 2*y + 52. Calculate the remainder when 528\/t + 2\/14 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of 27*y**5\/20 + 13*y**4\/4 + 20*y**3\/9 + 2*y**2\/3 - y - 27. Factor h(w).\nAnswer: (w + 1)*(9*w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(45) + (sqrt(45) + -1 - sqrt(45)) + 0 - sqrt(5445)*-2) + (sqrt(45)*-2*-1 - sqrt(315)\/sqrt(63)))**2.\nAnswer: -888*sqrt(5) + 27416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*o + o - 3*o)*(0 - 3*o**2 + 0) - 40*o**3 - 60*o**2 + 60*o**2 + (3 - 2 - 8)*(0*o**3 + o**3 + o**3) - 3*o**3 + 2*o**3 - o**3.\nAnswer: -62*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2236*x**3 + 2*x - 989?\nAnswer: 13416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the second derivative of -f**4\/12 + f**3\/6 + f**2\/2 + 2*f + 6. Let v(p) = 5 - 3*p**2 - 9*p + 9*p + 0*p + 5*p. Give -20*m(d) + 4*v(d).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -1, 4\/5, -3\/13, 2 in descending order.\nAnswer: 2, 4\/5, -3\/13, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/17 in 5, -3\/4, -7, -3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -0.1373  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4\/3  (b) 3  (c) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -51f - c3cf?\nAnswer: -c8ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -4*y**3 + 908*y**2 - 51980*y + 51076 = 0.\nAnswer: 1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 61265?\nAnswer: 5, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 141 + -140.8. What is the smallest value in -2\/61, 0.5, d?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**2*r**3*z**2 + 2*h**2*r*z**2 - 28*h**2*z - 27*h*r**3 + h*r + 2*r**2*z**2 wrt h?\nAnswer: 4*r**3*z**2 + 4*r*z**2 - 56*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53590 is divided by 154.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -29\/3*b**3 + 0*b**2 + 0*b + 114. Let s(q) = 5*q. Calculate s(y(z)).\nAnswer: -145*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3 + -2)\/((-8)\/(-2168)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*0.1137.\nAnswer: 0.3411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-304)\/(-38) - (-4 - 632\/(-52))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003967025 rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 304*v - 8. Let i be z(0). Let h(t) = t**3 + 8*t**2 + 21. Determine h(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 + 16. Which is greater: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + 0\/1 - 1. Suppose 15*s - 31*s = -80. Put z, s, 2 in ascending order.\nAnswer: z, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 559?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 10033732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 7:02 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r**2 - r + 4. Let p be b(0). Suppose 0 = -u + 4, 2*u - 12 = -2*n + p*u. Calculate the least common multiple of n and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 + 40. Calculate the remainder when 55 is divided by l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 29614 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + -7)\/((-70)\/54425)*(-12)\/(-10) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 77526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {m: 3, i: 2, p: 2, o: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 182 a factor of 10568852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -4*i - 2. Let v(z) = -5*z - 1. Let u(w) = -3*o(w) + 2*v(w). Let x(k) = -4*k - 7. Let r = 128 - 131. Calculate r*x(c) - 5*u(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 494221 divided by -601?\nAnswer: -494221\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -5188 (base 14) to base 12\nAnswer: -8158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z + 3 = -5*j, 121*z + j = 123*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-18)*-131*(-12)\/2 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2761*t - 48867 - 131373 - 101382 for t.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 72189 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 57603 - 5?\nAnswer: 57576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(3) + 0 + -5 + sqrt(3) + -2 + ((sqrt(270) - sqrt(30))\/sqrt(10) - sqrt(15)\/(sqrt(25)\/sqrt(5))))**2.\nAnswer: -36*sqrt(3) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/3*1*12. Let a be (6*-1)\/(b - 6). Let y(f) be the second derivative of -f**3\/6 + 3*f**2 + 160*f. What is y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 120*w - 2384 = -344. Let i(q) = -19*q + 43. Let m be i(-4). Calculate the greatest common factor of m and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3 - 11. Suppose 0 = -2*f - z + 49, f + 3*f + u*z - 108 = 0. Find b such that 2*b**2 + 2 - 20*b**3 + f*b**3 - 2*b - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1422409\/7 - 203201. Suppose 3*p - 2*k - 1 = 7, -4*k - 16 = 4*p. Which is the closest to v?  (a) -2\/49  (b) 0.5  (c) -0.5  (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5\/(-6) + 3\/(-18))\/(-4). Which is bigger: p or -5\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzp when three letters picked without replacement from {i: 2, t: 7, p: 3, z: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t**2 + 2*t**2 + 0*t**2 + (2*t - 4*t + t)*(3*t - t - 4*t))*((-3*t + t + 0*t)*(3 - 2 - 2) - t + 1 - 1).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 1. Let n = l - -6. Determine f, given that -f**3 + f**2 + f**2 + 17*f**n - 4*f + 10*f**4 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 996502.2 meters in kilometers?\nAnswer: 996.5022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -7*o**2 - 8. Let g(q) = -5*q**2 - 6. Let n(x) = 4*g(x) - 3*j(x). Let w(r) = 2*r**2. Determine -14*n(l) + 6*w(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**2 + 82182*u - 18985539.\nAnswer: -3*(u - 27161)*(u - 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -42564590 times 0.4?\nAnswer: -17025836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 - 8. Which is the second smallest value?  (a) 5  (b) -0.4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/(-57)*(5496 - 5268).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 178086 and 29681.\nAnswer: 178086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 15 = v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, -0.4, 347616, -2, 9?\nAnswer: 347616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 19202 less than -10401080.6?\nAnswer: -10420282.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -269 - -822. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d + 2. Let s be g(-3). Let n = s - 1. Let m be (1*n)\/(10\/(-35)). Calculate the greatest common divisor of 28 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zvmzvvcvcvvvvvrrvvvl. What is prob of sequence zlcv?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -6175 divided by -73\nAnswer: 6175\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7289856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 47054377 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2625)\/(-6) + (-1)\/2. Let i = -7427\/17 + n. Which is the closest to -4?  (a) 2\/11  (b) i  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 o when three letters picked without replacement from {j: 1, k: 1, o: 7, p: 2, r: 5, b: 4}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 55 + 17. Let c be ((-78)\/g)\/((-2)\/136). Suppose 5*r - 3*l - c - 601 = 0, 5*r + 5*l = 790. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 6*c**2 + 6. Let y(k) = k**2 - 1. Let d(w) = -l(w) - 6*y(w). Suppose -47*v + 46*v = 2. Calculate d(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 7:19 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 f when three letters picked without replacement from rrppfrpr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 116332 and 1016.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 7, b: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.31, -52, 1, -3\/2 in descending order.\nAnswer: 1, -0.31, -3\/2, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 18 + -15. Let c be 97\/z + (-7)\/21. What is the tens digit of (-3 - -4)*-2 + c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2000402 - 4?\nAnswer: 2000343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 185310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 125, 237, 335, 413, 465, 485, 467, 405?\n\"Answer: -u**3 - u**2 + 122*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 810.907t?\nAnswer: 810907000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -96*n + 189 + 99*n - 210.\nAnswer: 3*n - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -0*f + f. Let d = f + 30. Suppose 0 = 2*b - 0*b - d. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -58*o + 157*o - 23*o + 4028 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41 (base 11) to base 16.\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -61*g. Let x(y) = -30*y - 1. Let l(i) = 3*b(i) - 7*x(i). Let d(w) = 14*w + 4. Calculate -7*d(j) + 4*l(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2873720271.\nAnswer: 3, 3581, 267497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 + 36\/5. Let x = 514 + -513.78. Let p = x + 2.78. What is the nearest to 0.1 in p, k, 17?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*z**3 + 237*z + 792?\nAnswer: -6*z**2 + 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(110)\/((1*sqrt(10) + sqrt(10))*2) - sqrt(33)\/(4*sqrt(15)\/sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 9136.12 years?\nAnswer: 91.3612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3281, -1, 1, 117, 0 in ascending order.\nAnswer: -1, 0, 1, 117, 3281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 1:03 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 6*a - 21. Let s be i(-9). Suppose b - 3 = -4*m + 11, -s = -4*m - 5*b. Is 38\/m*-1*-22 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13241\/9 + -1471. Suppose b*j**2 - 2\/9*j + 0 = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1141097 or -4\/9?\nAnswer: -1141097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 85.504 micrometers to millimeters.\nAnswer: 0.085504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q + 10. Let s be j(-7). Let o be (-1)\/s + 71\/4. Let g = o + -10. What is the remainder when 14 is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 85, 119, 163, 217, 281, 355, 439?\n\"Answer: 5*v**2 + 19*v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of -u**3\/3 - u**2 + 9*u - 17. Let r be m(0). Solve r = 4*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.11 in -0.102, -7, 3, -3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1100 + 172762?\nAnswer: 171662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 656.86322 - 0.0254246.\nAnswer: 656.8377954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1, 222, 827, 2008, 3957, 6866?\n\"Answer: 32*z**3 - 3*z - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/6579375 and -5\/754.\nAnswer: 171063750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/(-50))\/((-1)\/4 + (-78)\/(-120)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 601 or 3376?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*i**3*n*r + 29*i**3*n + 2*i**3*r**2 - i**2*r**2 - 4*n*r**2 - 5*n wrt i.\nAnswer: 18*n*r + 174*n + 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**(-7\/3)*k)\/k)\/k**(-21))**(2\/97) assuming k is positive.\nAnswer: k**(112\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -1949*j - 4. Let o(l) = 3890*l + 7. Calculate 6*o(x) + 11*y(x).\nAnswer: 1901*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 250 and 275?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + -7. Let z = 1 - o. Find the third derivative of -4*s**2 + 3*s**3 + 3*s**5 - 3*s**z - s**5 wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(26*h + 0*h + 17*h + 27*h).\nAnswer: 140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3.6 + -7.6. Let r = -2.9 - -2.6. Let g = -13 + 8. What is the biggest value in t, g, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1747690000?\nAnswer: 2, 5, 7, 24967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*w + 727 = -146 - 159 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one fifths of a decade in years?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/9 + (-64)\/36. Let i be (3 + (-39)\/6)*w. Solve 3*l - 12 = i*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - y - 35 = -39, 0 = 3*d - 2*y + 8. Solve -s - 5*h - 19 = d, 2*s + 2*h + 0 = -6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 90  (b) -1  (c) 0.5  (d) -5  (e) 126\/95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/sqrt(5))**2*1*1 + (3*sqrt(441) - sqrt(49))\/sqrt(7).\nAnswer: 7 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 15 in -2, 6, -4, 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -61178893 at least -428252254\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (2583\/(-585) - -1) + 36\/20?\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.41 + 0.39. Let q = b + -3.4. Let v = 2\/9 - -1\/9. Sort 4, v, q.\nAnswer: v, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -20102, -20103, -20104, -20105?\n\"Answer: -n - 20101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6, -20, -34?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -x**4\/6 - 39*x**3 + 24083*x**2\/6 - 35382*x - 1677680\/3 = 0.\nAnswer: -313, -8, 20, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0364954 to 4 dps.\nAnswer: 0.0365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 37171587 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**5\/13 - 606*y**4\/13 + 44988*y**3\/13 + 138620*y**2\/13 + 139842*y\/13 + 46818\/13.\nAnswer: 2*(y - 153)**2*(y + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*g**2 + 60*g**2 + 23*g**2 + (2 + g - 2)*(g - g - g) - 2*g**2 - g**2 + 5*g**2)*(3*g**2 - 3*g**2 - g**2).\nAnswer: -31*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -19*q**2. Let i(g) be the second derivative of -g**7\/1260 + 11*g**4\/12 + 3*g. Let f(t) be the third derivative of i(t). Give f(h(z)).\nAnswer: -722*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*x + 9*x**2 - 18*x**2 + 5*x as p*x + m*x**2 + i and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 3 + 33*c**2 - 2 + c + 28*c**2 - 33*c**2 - 29*c**2. Let k(g) = 3*g**2 - 3*g - 2. Give -4*i(v) - k(v).\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -108 or -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 304  (b) 7906  (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 16838 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.5658703 times 0.3\nAnswer: -0.16976109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0062502561 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/14930380 and 37\/92905?\nAnswer: 253816460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 320778504?\nAnswer: 2, 3, 61, 73037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -187.5206 take away -4?\nAnswer: -183.5206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + (-2 - (0 + -2)). Let h = n - -10. Calculate the remainder when 18 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 5:12 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1154\/11 + 105. What is the closest to 2\/7 in 0.2, h, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/60)\/(5*(-13)\/2730)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 60 = -3*z, 4*n - z - 48 = 2*z. Let p(l) = 6*l + 21. Let g be p(3). Suppose g = 5*j - 111. Calculate the remainder when j is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/9 in -4, -10\/9, 0, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 6*z = -10. Let v = 10 + z. Suppose -v*k + k = -24800. What is k rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**2\/2 + 75*q - 441\/2 = 0.\nAnswer: 3, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 5*y + 20, 3*r - 4*y + 17 = 2. Is r - -26 - (-14 - -17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(5\/2)\/h)*h*h**(3\/5)*h)**(1\/10) assuming h is positive.\nAnswer: h**(21\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -38*f - 1056. Let r be w(-33). What is the greatest common divisor of 2475 and r?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*y = 23*y + 22*y + 924 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/146 and -35\/1292.\nAnswer: 94316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {o: 10, g: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5 = 5*x - 0*x, -3*z - 3*x = -3. Suppose 33*w - 981 - 504 = z. Solve -14*d + 5*d = -w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = o**3 - 5*o**2 + o + 4. Let k be 1\/(4\/40 + 0). Let y = k - 6. Give b(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1  (b) 3\/16  (c) 2  (d) -0.3  (e) -1456\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -6*f. Let v be 12597\/19 + -1 + (1 - 0). Let i be (-3)\/12*(-56)\/7. Let s(n) = 663 - v - n**i. Calculate s(u(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i**4 + 4444*i**3 - 2544138*i**2 + 80436056*i + 3048744248 = 0. What is i?\nAnswer: -22, 58, 1093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12 and 34558563.\nAnswer: 138234252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 99765577?\nAnswer: 99765577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*g - 9*g. Let x be 80 + (4 - g) - 3. Let s = x - 81. Solve 2*d - d + 1 = s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h. Let r be 13\/(-2) - (-16)\/32. Let m be w(r). Let b be 4*(-4)\/(-32)*m. Solve 3*f - 9 = -3*u, -b*f - 5*u + 6 + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 - 2*i - 7. Suppose 8 = -2*v, -3*m = -39*v + 41*v - 10. Calculate f(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -531*f + 18077. Give z(33).\nAnswer: 554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -390.538803 and -10.59?\nAnswer: 379.948803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 55  (b) -4  (c) -3  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65198214 is divided by 21732731?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -344 + 508 + 199 + 773*t**2.\nAnswer: 773*t**2 + 363","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u + 9. Suppose 0 = -3*v + v. Calculate q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -1 + 4*o + o**2 - 12*o**2 - 3. Let d(u) = -154*u**2 + 55*u - 55. Let a = 756 + -752. Let g(n) = a*d(n) - 55*h(n). Let i(w) = w**2. What is g(i(v))?\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -781662 < -781934?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 140760818\/789 - 178404. Calculate the common denominator of 125\/6 and c.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 + z + 6. Let n be a(2). Let q(i) be the first derivative of i**2 + 18*i + 3. Let m be q(-8). Solve m*s + n*v = 2, -4*s + v + 10 = 6*v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 minutes after 10:02 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r - 4. Let w be o(0). Let v = w - -7. Which is the second smallest value?  (a) 5  (b) v  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 576508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 4*a + 211 + 17, 104 = k + 3*a. Let y = k - 70. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((-14)\/4*(-10)\/35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -4*r**2 - 3*r - 3. Suppose 0 = -12*v + 66*v - 162. Let s(u) = -3*u**2 - 2*u - 3. Calculate v*s(f) - 2*c(f).\nAnswer: -f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*n + 0*n - n + 9*n**4 wrt n.\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -30292.5 and -787.\nAnswer: -31079.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1776 and 2812.\nAnswer: 33744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2278*x + 67. Let o be -71 + (-18*(-8)\/216)\/(1\/6). Let p(k) = 69*k + 2. Calculate o*p(n) + 2*q(n).\nAnswer: -67*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - 996\/(-84) - -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + v - 28 = 0. Let j = 23 + -8. Suppose u = k + 5, 3*k = -5*u - 2*k - j. Put -1, -2, u, v in decreasing order.\nAnswer: v, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x = 18*x - 78. Let g(v) = 11*v - 32. Let y(q) = 4*q - 11. Let j(s) = 3*g(s) - 8*y(s). What is the units digit of j(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-2)*(-29)\/2. Let s = 61 + j. Suppose 3*x - 5*x = s*x. Solve -4*n - 4*q - 28 = x, -4*q - 2 = -2*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -109*n - 16*n - 82 - 418 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 242 - 476 + 133*g**2 + 45*g**2 + 234. Let m(w) = -5*w. What is m(a(p))?\nAnswer: -890*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -930701, -7445510, -25128573, -59564018, -116335973, -201028566, -319225925, -476512178?\nAnswer: -678471453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of (-1785)\/(-14)*188\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20583 - 20580. Sort -321, -1, 4, 0, v in increasing order.\nAnswer: -321, -1, 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4348 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 79*s - 186*s - 15 - 23 + 163*s in the form y + o*s and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -1681979 - 169*c**2 + 1681979 in the form w*c**2 + t + u*c and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-15)\/2*80\/(-50) - -1. Suppose -n = m - 2. Let h(s) = -4*s - 29. Let d be h(m). What is the greatest common divisor of d and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11*f**2 + f**4 + 11*f**2 + (2*f**3 - 8*f**2 + 5*f**2 - 6*f**3)*(-13*f + 9*f - 23*f).\nAnswer: 109*f**4 + 81*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -508 from 1.12802098.\nAnswer: 509.12802098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together -37 and 6568.\nAnswer: 6531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 25 = -a. Suppose -a*s + 3*y + 39 = 0, 3*y + 5 = s + y. Suppose o = 7 + s. What is the remainder when 45 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17 and 1377?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -865 + 869. Let x(q) be the first derivative of -5\/3*q**3 - 4*q + 1\/4*q**y + 9 + 4*q**2. Factor x(t).\nAnswer: (t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 133*p + 23 - 17 - 2207*p.\nAnswer: -2074*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 - z**2 + 3*z**2)*(3 + z - 3) + 2*z**3 + 4*z**2 - 4*z**2 + 24*z**2 - 2*z**3 - 24*z**2 + (-3 - z + 3)*(2*z**2 - z + z) - z**3 - 2*z**3 + 2*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is d73 - -3?\nAnswer: d76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**3 - 9*c**2 - 20*c + 24. Let t be j(6). Let i be (76\/t - 4)\/(9\/(-27)). Let a(h) = -h**2 - 7*h + 1. Give a(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 10 = 5*a, 0 = -10*a + 9*a - 4*t + 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w + 996857*w**2 + 1 - 996824*w**2 - 8)*(-1 - 1 + 3).\nAnswer: 33*w**2 - w - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 17 - 13. Suppose 0*n - 22 = 5*n + k*g, -4*n - 32 = -4*g. Let l = n - -11. Solve 0*a - l*a = -10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 221721?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18164555 + 11260755. What is a rounded to the nearest 10000?\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 138396, 276662, 414928?\n\"Answer: 138266*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 5. Let c(h) = -h**3 + 2*h**2. Let k(n) = -3*n**3 + 5*n**2. Let y(x) = b*k(x) - 13*c(x). Find the third derivative of y(g) wrt g.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 0 = -4*l + 4*t, -5*t = 5*l + 20. Suppose -2*i - h + 8 = -16, l = -5*i - h + 60. What is the remainder when i is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (28\/(-63))\/((-6)\/63). Let q(w) be the second derivative of 0 - w - 4*w**2 + 2\/3*w**6 - w**4 + n*w**3 - 7\/5*w**5. Suppose q(h) = 0. Calculate h.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -54*w**4 + 60*w**2. Let p(q) = 11*q**4 - 12*q**2. Let x(v) = 3*k(v) + 14*p(v). Find the third derivative of x(c) wrt c.\nAnswer: -192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 123, 4, 13 in descending order.\nAnswer: 123, 13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -4*a**2 - 57*a - 4. Let q be t(-14). Solve -30 = q*g - 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 8) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 439 - 441. Let r(d) = d**3 - 5*d**2 - 6*d + 5. Let k be r(6). Which is the second biggest value?  (a) k  (b) l  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 411864 and 1332008.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 3*p = 5. Let t be (-46)\/(-10) - (-3)\/p. Let d(x) = x**3 - 2*x**2 - 5*x - 3. Calculate d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4*u - 3. Let b(o) = o. Let q(m) = 3*b(m) - h(m). Suppose -11*w = 9*w. Give q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1852697 or -1852696?\nAnswer: -1852697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-8)\/(-1*(-3)\/(-9)). Suppose 119 = 5*p + g. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-21)\/3 + (11453 - 102) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11.392 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 2*f + 2 = -2*b + f + 1, -145*f + 234 = 12*b + 77*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.7 + -5. Let y = -11 - -10. Let t be -4*(27\/(-12) - y). Sort j, -0.5, t in decreasing order.\nAnswer: t, j, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = 2*o - 9808, 0 = -4*o + 2*f + 11026 + 8580. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15039 divided by -27\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4872431?\nAnswer: 4872431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + -d707?\nAnswer: -d709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1354050 and 20060?\nAnswer: 2708100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 161 - 134. Calculate the least common multiple of (12\/(-5))\/(3\/(-30)) and y.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 752957 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 55*s**3 + s**2. Let y be a(1). Let o be 10\/(-15) - (y\/6)\/(-2). Solve -i - o = -4*k, 14 = -k - 0*i + 4*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 56\/7 - -2 - 8. Solve -3*z + 2*l = -7 + 2, -2*l = i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18719*v + 18703*v + 2 - 2.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 306\/7, -2\/71, 8, 0.057 in descending order.\nAnswer: 306\/7, 8, 0.057, -2\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 - 3*o**2 + 7*o**2)*(-4 + o + 4) + (-2 + 2 + o)*(-o**2 + 3*o**2 - 4*o**2).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = 4*d - 6. Suppose -d*r - 14 = -5*l, 5*r - 11 - 4 = 0. Suppose 2*x = -2*c + l, x + 3*c - 5 = -x. Solve 20 = -5*h + 5*w, 0*w + w = -x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*w - 400 = 95*w - 1212. Let p(j) = 4*j. What is the least common multiple of p(7) and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -751, -77, 1 in decreasing order.\nAnswer: 1, -77, -751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8585722\/247 - 34760. Sort 3\/5, q, -0.1.\nAnswer: -0.1, q, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*w**4 - 101*w + 37 wrt w.\nAnswer: -8*w**3 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p*p**(6\/17))*p\/p**(-24))\/((p*p\/p**(3\/20))\/(p*p**11\/p)) assuming p is positive.\nAnswer: p**(11151\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-30)*r**(8\/7))\/((r*r**6)\/((((r**(-4)\/r)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-307\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -5*w + 2. Let c = -293 - -300. Suppose 0*l - 74 = -4*l + 2*u, 4*l = 5*u + 89. Suppose 3*r - c*r + l = 2*s, 3*r = -s + 10. Calculate d(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -22.57 at least 12782?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -80, -36, 246, 880, 1980?\n\"Answer: 19*s**3 + 5*s**2 - 104*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 135*u - 6. Let j(t) = 136*t - 7. Calculate 6*a(f) - 5*j(f).\nAnswer: 130*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11\/6 - -1\/3. Let m = -61 - -243\/4. Let h = -10 + 7. Which is the second biggest value?  (a) j  (b) m  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 0.5  (c) -1840260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + (-28 - -40) - (-2 - 3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -27*q + 109*q**2 - 2 - 110*q**2 - 10 + 4 + 6*q. Give g(-14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1758785.\nAnswer: 5, 7, 31, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 2*n**3 - n**3 - 14*n**2 + 6*n + 9*n**2 - 4. Let u be z(4). Solve 5*p + s + 3*s - 4 = 0, 0 = -4*p + u*s + 32 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2321*y - 2858*y - 710*y.\nAnswer: -1247*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - -2*(-1 - 0). Let m = 0.005 + -1.005. Which is the nearest to -1?  (a) d  (b) 2\/11  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 1883.\nAnswer: -5\/1883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-807 - -259)\/(32 - 36).\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1858 minus 6126969?\nAnswer: -6128827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -11*c - 34. Suppose -5*o + t - 31 = 0, 3*o + t = 7 - 24. Let i be m(o). Calculate the greatest common divisor of 96 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 4238460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 2*k. Let n(x) = 2*x - 7. Let m(j) = 5*j + 11. Let r(f) = -14*f - 32. Let b(a) = 17*m(a) + 6*r(a). Let l(h) = -7*b(h) + 5*n(h). Calculate y(l(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, r: 2, a: 1}. What is prob of picking 1 a and 2 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**5*i**(1\/9))\/(i**(-3\/4)*i*i**(1\/7)*i)*((i**3)**(-12\/11))**(1\/23) assuming i is positive.\nAnswer: i**(227989\/63756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -102*x**2 + 293 - 92*x**2 + 0*x**2 wrt x?\nAnswer: -388*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 21\/63*-2*2\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1684646880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2732+-207983\nAnswer: -210715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1 + (-1*(-4 + 1 + sqrt(153)) - 1*(-2*sqrt(153) + sqrt(153) + -2 + sqrt(153))))**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 5*z**2 - z. Let f(c) = c**2 + 6*c + 2. Let k be f(-4). Let s = k + 5. Give b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - (-1 - -1 - (-4 + 0))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9273 and 1683?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 + 8*v**2 - 9*v + 2. Let n be h(-9). Let d(j) = 10 + 5*j**3 - 4*j**3 + 14 + 12*j - 11*j**2 - 2*j**n. What are the prime factors of d(12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7\/3?  (a) -0.2  (b) 4\/3  (c) -0.4  (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 n when four letters picked without replacement from {m: 5, v: 3, l: 4, n: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8c (base 14) to base 5.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*j + 15817656 = -10085520. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 886456?\nAnswer: 2, 110807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m + 263 + 127 = 0. Let q be (13\/(m\/15))\/(-3). Let o = -0.4 + -0.1. Which is the third biggest value?  (a) 6  (b) o  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -52\/224303 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 129, 244, 315, 336, 301, 204?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + (-13 - (-12 + 8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -4.2 and -0.024294?\nAnswer: 0.1020348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 118891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -23490\/23623?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-26)\/6)\/((-12)\/36). Find the second derivative of -69*b + k*b**3 - b**2 + b**2 + 61*b wrt b.\nAnswer: 78*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -21. Let q = s + 79. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 2\/9 of a hour?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 9 = -5*r + 2*t, 5*t + 21 = -2*r. Suppose 3*d - 8 - 7 = 0. Let f(s) = 3*s**2 - 2*s**2 + 1 + 0*s**2 + s - d. Give f(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 + 8825*s**2 + 8812*s - 105888.\nAnswer: (s - 3)*(s + 4)*(s + 8824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5032402 to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n**2 + 88*n + 137. What is r(-41)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a litre in millilitres?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 - 10. Suppose -o = i*v - 18, -5*v + 0*o = -4*o - 28. Put v, -1, -0.1 in descending order.\nAnswer: v, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-114)\/33 - -4)\/(-1 - 0).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 11*l + 8. Let s be y(6). Suppose -n - 3*g = -46, 3*g = 5*n - 84 - s. Calculate the highest common factor of n and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**26)\/w*(w*w*(w\/((w\/(w**(-12)*w))\/w))\/w)\/w*w)\/(w**(-43))**(-3))**(-37) assuming w is positive.\nAnswer: w**6068","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -85, -80, -75, -70, -65, -60?\n\"Answer: 5*a - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2943.5 - 3423.69. Round b to the nearest 10.\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/5  (b) 4\/9  (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-1) + 54\/144*-8. Does o = 3\/52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**2 + 20*s + 47. Determine x(22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = -4*y + 43, 0 = h - 3*y - 0 + 13. Suppose -4*x + 2*c + 56 = c, 63 = 5*x - 3*c. Let t = h + x. Calculate the lowest common multiple of 7 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3900, 3709, 3522, 3339, 3160, 2985?\nAnswer: 2814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/4 in 3, -4\/11, -32, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 22149918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 6, 5, 1.\nAnswer: 0, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 243 * -132.\nAnswer: -32076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - 2. Let j = -6 - m. Put -5, 4, j in descending order.\nAnswer: 4, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0*w + 1319 = 4*k, 2*k - 661 = -w. Let m = k - 190. Suppose 0 = q - 2*p - p - 43, -3*q + 4*p + m = 0. What is q rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the second derivative of -u**5\/20 + 7*u**4\/12 - u**3 - 7*u**2\/2 - 22*u. Give d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 43 = 4*i. What is the lowest common multiple of i and 13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1, -17, -21, -7, 31?\n\"Answer: c**3 - 23*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-93 + 195 - 102 + 51*n)*(-1 + 1 + 2) to the form q*n + s and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*1\/33*6. What is the fourth smallest value in 1\/2, h, 4, -78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.177 - 5.377. Which is the third biggest value?  (a) 5  (b) -5  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -153, -195, -233, -267, -297, -323, -345?\nAnswer: -363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*s - 38*s = 66 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 20 = 7*c. Calculate the highest common divisor of c and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (133 - (121 + -95)) + -6 + 20?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28 or 0.26?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of w**4\/12 + w**3\/2 + 11*w**2 + 770*w. Let r = -15 + 8. What is the remainder when b(r) is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*g**4 - 2*g**5 - 4*g**4 + 3*g**5 - 5*g**5 - g**5 + (0*g**3 - g**4 + 0*g**3)*(-g + 8*g - 3*g).\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 608477.\nAnswer: 619, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6784360*r**5 - 2497*r**2 - 217*r.\nAnswer: 407061600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 141001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) be the second derivative of p**2 - 1\/15*p**6 + 0 - 4\/5*p**5 + 0*p**4 + 75*p - 19\/6*p**3. Find the second derivative of w(v) wrt v.\nAnswer: -24*v**2 - 96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 5 = 5*o - 3, 4*p = -4*o + 40. Suppose s + 1 = 3. Let c(w) = -3*w**2 - w**2 - 6*w**3 + 7*w**3 - 2*w**s + 1. Calculate c(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25711132.\nAnswer: 2, 6427783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -r**3 + 3*r**2 + 3086*r - 6167. Give n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1378 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - -1014. Does 29 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4 and 94.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from rbeugrtrurrutrt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1193*c + 283*c + 571*c.\nAnswer: -339*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4 + 8. Let u(p) be the third derivative of -1\/56*p**8 - 11\/12*p**g - 13\/30*p**6 + p**2 + 0 + 2\/3*p**3 + 2\/15*p**7 + 0*p + 4\/5*p**5. Factor u(y).\nAnswer: -2*(y - 1)**4*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*t**2 + 3*t**2 - 5*t**2)*(-2 - 6 + 5 + (1 + 2 - 5)*(6 - 3 - 1) - 3 - 2 + 4 - 1 + 0 - 1) to k + l*t + d*t**2 and give d.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4b64 + 121?\nAnswer: -4a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.03 + -0.03. What is the smallest value in 1\/2, 3, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, -409, -2 in increasing order.\nAnswer: -409, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand -t**2 + 3*t**2 - t**2 + (-2*t - 2*t + 2*t)*(1 - 1 + t) - 3*t**2 + 0*t**2 + t**2 + 2*t**2 + 3*t**2 - 3 - 3*t**2 - t.\nAnswer: -t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 34 = 3*g - 83, 3*v = -5*g + 45. Let w be (-4)\/10 + v\/25. Let l = w + 15. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10.108*-0.27\nAnswer: -2.72916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 44, 180\/41, 0.\nAnswer: 0, 2, 180\/41, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1351 + 1302*p**4 + 203*p**4 + 166 - 100 wrt p?\nAnswer: 6020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*52.29.\nAnswer: -10.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.02 + -0.08. Let m = 0.1 + -0.3. Which is the closest to h?  (a) -2\/11  (b) m  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 9 = s, -3*s + 5*f + 81 = s. Suppose 0 = 3*x - 13 - s. What is the third derivative of -4*r**5 - x*r**4 + 9*r**4 + 8*r**2 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 878789 - 549606. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -355, -1478, -3367, -6028, -9467, -13690, -18703?\nAnswer: -24512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-126)\/(-7))\/18*16\/10)\/(264\/(-12))?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 7757735119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 8*v - 2*v)*(1 - 1 - 1)*(-4*v + 6*v - 10 - 3).\nAnswer: 18*v**2 - 117*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -10, -1\/5, -4.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-43)*t*t)\/(((t*t**(-8\/3))\/t)\/t)*(t**(-40)*t)**(-11\/6) assuming t is positive.\nAnswer: t**(727\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 5. Let p be s*((-9)\/6 - -1). Is p\/(-2)*(-2086)\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.028 greater than -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 - 2 - ((-21 - 0) + (6 - (-62 + 48))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2810708072.3094 and 0.8.\nAnswer: -2810708071.5094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 30*o + 146. What is the smallest common multiple of z(-4) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g + 12. Let n(t) = -2*t + 23. Let p(v) = 3*n(v) - 5*o(v). Determine p(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1184\/1221)\/16*-9*8\/(-6)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -1422\/2837?\nAnswer: -1422\/2837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10.2 - -9.47. Let i = -0.63 - r. Which is the closest to i?  (a) 5\/4  (b) -0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 79673 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(4*(sqrt(450) + sqrt(450)*-2) - sqrt(450) - sqrt(450))\/((sqrt(90) + sqrt(90) + -2*sqrt(90) - sqrt(90) - sqrt(90))\/sqrt(10)))**2 + 2.\nAnswer: 7202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 67*a + 43200 - 43200 - 64*a. Let f(n) = 17*n - 10. What is t(f(y))?\nAnswer: 51*y - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 207645?\nAnswer: 3, 5, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 6*i. Let o be j(5). Calculate the greatest common divisor of 5 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**2 - 13*i - 90. Let y be t(18). Suppose -3*o + 41 + 1 = y. What is the highest common divisor of 224 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 0*c - 47. Let w(y) = -y**3 - 5*y**2 - 6*y. Let t be w(-5). Let q = t - c. What is q rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*p + 117*p + 15 = -3*m, -4*m - 20 = -2*p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -4*b**3 - b**2 + 8*b + 4. Let p be o(-2). What are the prime factors of (1 + 1460\/p)*12?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -545022*x + 8 - 4 - 4.\nAnswer: -545022*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(35)\/(sqrt(252) + (3*sqrt(252) - sqrt(252)) + sqrt(252)) - -3*(sqrt(720) - (sqrt(720) + 2)).\nAnswer: -6 + sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 15 = 1. Let w(h) = -h**2 - 12*h - 5. Is 8 a factor of w(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u**2 + 4*u. Let l(o) = 2*o**2 - 3*o. Let v(r) = -4*l(r) - 3*w(r). Let g(k) = 7*k - 3 + 3*k - 6*k. Give g(v(i)).\nAnswer: 4*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**3\/(g*(g\/g**(1\/4))\/g*g))**(-15)\/(((g*g**(-2\/9))\/g)**(-3\/41))**(-1\/68) assuming g is positive.\nAnswer: g**(-156823\/8364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 237 and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/10*-1)\/((-531)\/39294)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - -1) + (-11275)\/(-451)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 41645782 to the nearest integer?\nAnswer: 6453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 248602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-3) - 1)\/((-6)\/36). Suppose 3\/4*v**3 + 3\/4*v**c + 0 + 0*v = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -122, -164, -190, -194, -170, -112?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30804889237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0*(-2)\/(-8)*2. Let j(b) = 5 - 3*b + 2*b - b**2 - 2. What is the units digit of j(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -5*b**2. Let y(u) = 11086158*u. Determine n(y(m)).\nAnswer: -614514496004820*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, 84569616, 5 in increasing order.\nAnswer: -5, 0, 5, 84569616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*m - 5*l = 5, 3*m - 13*l = -17*l - 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of 0*b + 7\/3*b**3 + 0 - 1\/12*b**4 - 17*b**2. Let f be t(5). Solve -2 = 2*s + f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5341 and 4312?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (48 + -32)\/(1\/9 + (-20)\/(-630)) is divided by 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**3 + 3*u**2 + u + 2. Let b be n(3). Suppose 24 = -2*c + b*c. Suppose -v - c = -25. Solve 5*s - 2*y = -10, -5*s = -5*y + v + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -1278 + 150.554\nAnswer: -1127.446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 4*z + 20. Suppose 5*r - 30 = -r. Let l be (-44)\/r + (-3)\/15. What is the units digit of f(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - ((0 - 4) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w = 3, -7 = 6*j - 10*j + 3*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 4, 49 in descending order.\nAnswer: 49, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the first derivative of 0*q**2 + 14 + 2\/5*q - 2\/15*q**3. Solve i(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/3*12966\/(-347921)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 430510637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -407 (base 13) to base 4.\nAnswer: -22223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/42  (b) -24  (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 1294?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - h = 76, -2*h - 59 = 3*w + 56. Let v = 91651\/2466 - -1\/1233. Let g = v + w. Which is the closest to -0.1?  (a) g  (b) 3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2515*z - 2511*z = -64 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 8 - 1)*(5*v**3 - 7*v**3 - v**3)*(v - v + 4*v) to the form y*v + p*v**2 + j + b*v**4 + w*v**3 and give b.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 259, -145, -5, -6, -2 in decreasing order.\nAnswer: 259, -2, -5, -6, -10, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 3*w**2 - 13*w + 63. Let n be h(9). Calculate the highest common factor of 63 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 6*m + 12 - m + 0*m + 4*m. Let l be c(5). Let f = l + -22. 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: Is 373517217143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiiieeii. What is prob of picking 2 i?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(20\/145) + (-7)\/(-35)*65.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -214324 by 6.\nAnswer: -107162\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 1466*a + 3 - 1456*a + 0 + 8*a**2 - a**3 - 2. Suppose -56 = -4*c + 5*x, -3*c - 2*c + 53 = -2*x. What is b(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -5*b**2 + 5*b - 6. Let w(c) = -c**2. Let a(y) = 5*h(y) - 30*w(y). Determine k, given that a(k) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3*(-10)\/18*(-1998)\/(-1110)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**3 + 2*s**2 - 2*s + 1. Let n be h(1). Let r(l) = -l**3 - 2*l + 3. Let j be r(0). Find the first derivative of -2*c**j + c**n - 1 + 2*c**3 wrt c.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/3 - 2\/12. Which is the third smallest value?  (a) -1  (b) 2  (c) -10  (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1686411*o**2 + 1973825?\nAnswer: 3372822*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjjvjvjjjj. What is prob of sequence jjv?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 158149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7769290 by 408910.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(931)*1*-6 + 3 + sqrt(931) + -1 + 5 + 2 + (sqrt(931) - (2*sqrt(931) + sqrt(931))))*4)**2 + 4.\nAnswer: -14112*sqrt(19) + 731204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102101323 - -133012?\nAnswer: 102301001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x = 5*y + 95, 2*x = -2*y - 54. Is 5434\/y*2\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -312823185 divided by -3.\nAnswer: 104274395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 plus -4.9671302?\nAnswer: -31.9671302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1012, -8474, -28836, -68548, -134060, -231822, -368284?\n\"Answer: -1075*u**3 + 63*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**3 + 41*s**2 + 104*s + 224. Calculate u(-37).\nAnswer: 1852","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 - 1. Suppose 88 = -5*y + 3. Let w(f) = 27*f**2 + 17*f + 5. Let q(g) = -9*g**2 - 6*g - 2. Let s(r) = y*q(r) - 6*w(r). Give -26*p(d) - 6*s(d).\nAnswer: 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 14*a**3 - 2*a**2 - 3*a + 1. Let l be y(3). What is the highest common factor of l and 1496?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -9 + 88. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = 2*t, 5*t - 6*p - 11 = -4*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the second derivative of -x**6\/600 - x**5\/150 - x**4\/120 + 7*x**2\/2 + 15*x. Let d(n) be the first derivative of a(n). Determine w so that d(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 22*j**2 - 18*j - 91. Let s be q(21). Let l(x) = x**3 + 27*x**2 - 39*x + 11. Calculate the remainder when l(s) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -100*t**3 - 2*t**2 - 2*t. Suppose 0 = -12*h + 13*h + 1. Is 20 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 645.55807908 and -15.\nAnswer: 630.55807908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 667, 2005, 4227, 7327, 11299?\n\"Answer: -i**3 + 448*i**2 + i + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 14410, 28821, 43232, 57643, 72054?\n\"Answer: 14411*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 26 = -5*d, 3*d + 2*d + 29 = 4*c. Let f = c - 9. Suppose 2*a - f*b = 30, 4*a - a = 4*b + 50. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 + -231011?\nAnswer: -231011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 0*a = -19. Let m be a - (-1 - -4)\/3. Let s = m + 30. Calculate the greatest common divisor of s and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes before 4:51 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 237244*-3.\nAnswer: -711732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 23\/7 + 1 + (-10)\/35?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 11686, 11704, 11748, 11830, 11962?\n\"Answer: 2*m**3 + m**2 + m + 11682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -75 + 72. Sort -4\/5, x, 5.\nAnswer: x, -4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 44*j + 35*j + 22 - 160*j.\nAnswer: -81*j + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 8*t - 160. Let q(y) = -15*y**2 - 1577*y - 122. What is the lowest common multiple of q(-105) and t?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/7 + (-17709)\/(-924). Let s = -75\/4 + q. Let o(t) = 2*t**2 - 16*t - 39. Let g be o(10). Which is greater: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -0 - 2. Put x, -9, 2 in decreasing order.\nAnswer: 2, x, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and (4 + 7 - 7) + 28?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a**2 + 42*a + 76 = 0.\nAnswer: -19, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 35 + -34 - (0 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 12851508, 25703006, 38554492, 51405960, 64257404, 77108818, 89960196?\nAnswer: 102811532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 78*p - 375. What is z(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20300.74 centuries to millennia.\nAnswer: 2030.074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -4*x + 96. Let v be p(24). Which is the nearest to v?  (a) -2\/23  (b) 2  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.99712km in nanometers?\nAnswer: 29997120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, -105 in descending order.\nAnswer: 4, 1, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 200856 and 41275908.\nAnswer: 82551816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 12) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 45208 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 12*o + 51*o + 0 + 6 + 2*o**2 to t + c*o**2 + l*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -7.1, 15, 127, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -365 + 363. Suppose -20 = -0*l - 4*l, -5*l - 15 = -4*d. Sort m, d, 2, 3 in increasing order.\nAnswer: m, 2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 0, -7*a + 2*l = -3*a + 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22193, -19675, -15469, -9569, -1969, 7337, 18355?\nAnswer: 31091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 7305, 14522, 21551, 28296, 34661, 40550, 45867?\n\"Answer: -16*h**3 + 2*h**2 + 7323*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 8) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + h - 2 = 0, 5*x = 4*h + 15 - 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 46 - 261*b - 89 - 188*b + 43 in the form o + t*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 2*h - 68. Calculate the remainder when 24 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6773.\nAnswer: 13, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 = 209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-1*(sqrt(7) + 1 + 2 - (4*sqrt(7) + -3))*6)**2 + 1)*-5.\nAnswer: -71300 + 25920*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29.2 + -29.9. Let d = 17\/65 - 6\/13. Is d > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (1\/1)\/(-1 + -2). Suppose 5*h - 13*h + 56 = 0. Let t be 2\/h*39\/26*-1. What is the nearest to b in t, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -121811*j + 122027*j - 23976 = 0 for j.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9 + -7. Suppose s*o - 12 = -4*g, -4*o - 5*g = -g - 16. Suppose -4*f - 22 = -w, o*f = -4*w + 7*f + 33. Solve 0 = 4*q - 3*i - i - 24, w*i + 9 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54 - 10 = 2*k + 5*p - 28, 8*k - 3*p + 80 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 2:40 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -a + 2*u + 81, 55 = -2*a - u. Let c = a + 21. What is the common denominator of -55\/4 and 2\/c + (-30)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p**(-5)\/p)\/p*p*(p*(p**3\/p*p)\/p)\/p)**(3\/2)\/((p**(-2\/3))**(-23))**(-2\/27) assuming p is positive.\nAnswer: p**(-545\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00355482 to four decimal places.\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -5*l**3\/6 + 2*l. Let m(f) = -3*f + 5. Let b(w) = 10*w - 16. Let k(x) = -5*b(x) - 16*m(x). What is k(q(j))?\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 + 18.86. Let n = t + 13.1. Round n to 1 decimal place.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*u + 20, 38 = 3*u - 0*u + 5*v. Which is smaller: u or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l + 38. Let d be q(16). Let b = -4 + d. Suppose 4*a**b + 2275*a**4 - a**3 + 0*a**5 - 2279*a**4 + a**5 = 0. Calculate a.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-766 - -792) + (13 - -1) + (18 - 13).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -12, -4 in ascending order.\nAnswer: -12, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(153) + sqrt(153) + -3)*2 + -3 + (4 + (sqrt(85)\/sqrt(5) - sqrt(17)) - sqrt(17))*1.\nAnswer: -5 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + u**2 + 4. Let s be j(0). Suppose r - 4*f + 0*f = 59, 2*f = -2*r + 98. Let o = r + -31. Solve o = n + s*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, h: 7}. What is prob of picking 3 h?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**2 + 7*m - 3. Let b(p) = -p**3 + 4*p**2 + 3*p - 6. Let c be b(4). Let g be r(c). Solve x = g*t, x + 0*t = -4*t + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000103294 rounded to 6 decimal places?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1940 and -0.014.\nAnswer: 27.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -66517 divided by -66517?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -1758, -3527, -5302, -7089, -8894, -10723, -12582, -14477?\n\"Answer: -f**3 + 3*f**2 - 1771*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 240516 - 128516. Round w to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**2 + 3*l**2 - l**2 + (701*l**2 - 335*l**2 - 267*l**2)*(-1 - 1 + 0).\nAnswer: -197*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = 4*o - 2*g, -3*o + 212 - 200 = 3*g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 213 + -57e6?\nAnswer: -55d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and 829158305134?\nAnswer: 829158305133.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -151 + 1056\/7. Which is the nearest to 2\/3?  (a) -0.3  (b) -0.5  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, -1, -163, 77, 1, 3 in ascending order.\nAnswer: -163, -1, 0, 1, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**2\/p)\/p*((p*(p\/(p\/(p*p**13*p*p*p)*p))\/p)\/p*p)\/p*((p\/p**(1\/2))\/p*p*p)**41)**(-38))**4 assuming p is positive.\nAnswer: p**(-11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 a factor of 39479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes before 1:35 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006487338 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(2 + 0)*244. Let m = -48 - g. Is 16 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.9 or 154?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**2\/(z\/(z*z**2)))**(-45) assuming z is positive.\nAnswer: z**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-704)\/66)\/16*9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*b + 466 - 91 = 0. Let w be 10\/b + 92\/20. Let y(s) = 3*s - 13. Let i be y(w). Solve i*d - 2*j - 10 = 0, -5*j = -2*d + d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c**3 + 71748 - 2*c**3 + 4*c + 2*c**2 - 8671.\nAnswer: -2*c**3 + 2*c**2 + 4*c + 63077","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**2 + 62*s + 5. Suppose -24*t = 2*t - 208. What is the units digit of j(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2103*z + 843*z + 2194*z + 1351*z - 1083*z as b + h*z and give h.\nAnswer: 5408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 942063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 4, s: 1, b: 4, u: 2}. What is prob of picking 1 g, 1 u, and 1 b?\nAnswer: 32\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55643.999938634 - -55644. What is a rounded to 7 dps?\nAnswer: 0.0000614","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -74187 - -148377\/2. Let 0*o + 3\/2 - 3*o**2 + 0*o**3 + n*o**4 = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -20 - 2 - 13 + 3 - 99*r. What is the hundreds digit of v(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4767 + -1429. Which is bigger: j or 3336?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from eeebeeebbeebbeebbbb. What is prob of sequence ebbb?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 954 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, l: 2, s: 1, a: 6}. What is prob of sequence awl?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -24 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of 7*i**6\/900 + i**5\/225 - 7*i**4\/180 - 2*i**3\/45 + 11*i**2. Determine n so that b(n) = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/298 and 53\/169264?\nAnswer: 169264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s**3 - 111*s**2 - 344*s - 4195. What is k(-53)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 3:06 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -4*t - 7*t + 6*t + 2*t + 2. What is b(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from ens?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 206086105.\nAnswer: 5, 41217221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/(-3))\/((60\/(-3))\/(-60)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 3*q - 4. Let x(d) = 4*d - 5. Let j(n) = 6*i(n) - 5*x(n). Let t be j(-11). Let u = 62 - t. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**4 - 1745*i**3 + 3487*i**2 - 1743*i.\nAnswer: i*(i - 1743)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 684*l - 35*l**2 + 47*l**2 - 2016 + 16*l**2 - 32*l**2 = 0. Calculate l.\nAnswer: 3, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -1. Let k(n) = -7*n + 5. Let u be k(4). Let m = 59 + u. Let l(t) be the first derivative of -3*t**2 - 36*t - 5017. Determine m*b(z) - l(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -755403 + -13?\nAnswer: -755416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 372?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.07 and -0.192904.\nAnswer: 0.01350328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1.969 - 0.031. What is the nearest to 1\/7 in s, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 4.13, 2\/11, -0.4, -6.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**3 - 2*s**2 + 2*s. Let q(z) = -5*z**2 + 4*z + 5. Let k be q(-1). Let t(c) = -39*c**3 + 27*c**2 - 27*c. Determine k*t(i) - 54*h(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13*u**5*z**3 + u**2*z**3 + 9*u**2*z**2 + 2*u**2*z wrt u?\nAnswer: 780*u**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 12*b - 13. Let r(q) = -23*q + 27. Let x(o) = 5*n(o) + 2*r(o). Let y = -83 - -66. Let c(v) = 5*v - 4. Let i(a) = y*c(a) + 6*x(a). Give i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + 7*r - 2. Suppose -h - 27 = 4*i - 6, 2*h + 3*i + 27 = 0. Is 8 a factor of x(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 98  (b) 2\/15  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-21))\/(-4) + (-966)\/(-49)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k**2. Let p(z) = 11*z**2 + 2*z - 2. Let l(m) = -418*m**2 - 77*m + 77. Let a(o) = 4*l(o) + 154*p(o). Give f(a(t)).\nAnswer: -968*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 377911789 to the power of 1\/3, to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1074.11 * 0.13\nAnswer: -139.6343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -2*j**6\/3 + 4*j**5 - 10*j**4 + 40*j**3\/3 - 10*j**2 + 4*j + 40. Solve h(u) = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 192 + -113. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1958 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-34)\/(-10) - 3) + (-312)\/(-20). Suppose 2*v = 4*v - s. What is the remainder when 38 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -132 - -69. Is ((-58)\/(-6))\/((-3)\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 2*k + 2*k + 35*p + 290 = 0, 3*p = -2*k - 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j - 3*j + 2*j)*(3*j - 17 + 17).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2003\/5 - -403. Let r(j) be the first derivative of 40\/3*j**3 + 6*j**4 - 2\/3*j**6 + 36*j - b*j**5 - 42*j**2 + 1. Factor r(f).\nAnswer: -4*(f - 1)**3*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6389 - 5b0?\nAnswer: -6979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*q + 2 = 38*q. Suppose 2*i - 3*i - q = 3*h, -2*h = 2. Solve 0 = 3*g - i + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*s + 22, o - 5*o = 3*s - 6. Suppose -o*c + 40 = 10. What is the remainder when 17 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 2 j, and 1 k when four letters picked without replacement from jjajjkjjjjj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 62 a factor of 2218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the second derivative of n**4\/96 - 13*n**3\/48 - 115*n + 1. Find t, given that k(t) = 0.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + -2144?\nAnswer: -2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 8*a**2 + 515*a - 447. What are the prime factors of s(-106)?\nAnswer: 3, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -7*s + 6*s. Suppose d + 0 = -s. Let l = d + 15. Solve 0 = l*i + 4*q - 14, 4 = -i - 4*q + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 7*l + 8. Calculate the remainder when 4 is divided by k(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 7*l + 8*l - 13 = 0, l = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123076358?\nAnswer: 2, 23, 823, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*q = -4*q - 15, -70 = 5*k - 4*q. Let x be (1 + 162\/(-12))\/(1\/k). What is the units digit of (x\/10)\/(-5)*-12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-u + 2*u - 2*u)*(0*u**2 + 0*u**2 - u**2) + 1640*u**3 + 71*u**3 + 2016*u**3 to the form j*u**2 + h + s*u**3 + m*u and give s.\nAnswer: 3728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00424949541 rounded to six decimal places?\nAnswer: -0.004249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 6 = -2. Suppose -u*s + 161 = -3*o, 3*o + 5*s + 163 = -o. Let j = -18 - o. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1167 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -59 + (3 - -8) + (-16 - -1) + 3?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 197264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 2*u + 5, -2*o - 5*u - 7 = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 147140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 2 = -2*b, -4*y - 2 = -54294*b + 54289*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/11 - 71328*x\/11 + 1271920896\/11.\nAnswer: (x - 35664)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3  (b) 3\/5  (c) -795975  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11816*b**2 + 11545*b**2 - 23365*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(3) - (-4 + (sqrt(3) - sqrt(21)\/sqrt(7))))*-2.\nAnswer: -40 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 321002 + -313?\nAnswer: 320023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 - 26. What is the closest to -2 in 0.4, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*c = -4*c - 1800. Let s be (-6)\/10*c\/30. Let k(x) = x**3 + 4*x**2 - 6*x - 3. Let n be k(-5). Sort -5, n, -1, s in decreasing order.\nAnswer: n, -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -2*m. Let v(o) = 77*o + 373. Let a be v(-5). Let l be (-9 - a) + -2 + 6\/(-2). Put l, m, 44 in descending order.\nAnswer: 44, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -310 = -6*b - 6*b - 10 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/9)\/t*t\/((t*(t\/(t\/t**8))\/t)\/t))\/(t**(-11)*t\/((t*t**(-6))\/t)) assuming t is positive.\nAnswer: t**(-25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/19 at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 480843*b - 5. What is i(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.9 + 34.9. What is the closest to q in 0.4, -5, -0.2, 0.08?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 39969244451 and 0.5.\nAnswer: 39969244451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -91 + 130. Suppose 3*k - 327 = 6. Suppose 0 = -5*m + k + l. Calculate the remainder when 59 is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 0*u - 1\/120*u**6 - 1\/120*u**5 - 13\/12*u**4 + 0*u**3 + 0 + 14*u**2. Let a(r) be the second derivative of h(r). What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 AM and 7:49 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 176710 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 9:54 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**2. Let r(h) = 2*h**2. Let b(w) = 5*q(w) - 2*r(w). Let x(j) = -7*j**2. What is b(x(s))?\nAnswer: 49*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 6*x - 2*x. Suppose -8*k + 35 = -53. Solve 0 = x*i - k - 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329414584 to the power of 1\/3, to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1107 + -1663. Let i = 395.6 + d. Round i to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -360934, -721861, -1082774, -1443667, -1804534, -2165369, -2526166, -2886919?\n\"Answer: x**3 + x**2 - 360937*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 140 - 125. Solve 2*c = r - 3*c - 3, -5*c - f = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**3 - 4*s**2 + 4*s - 2. Let a be m(-5). Let h(d) = 4 - 1 + d - a + 1. Let c(k) = -k + 5. Let l be c(4). What is h(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9851941*o*q**2*x**3 + 2*o*x**3 + 17170*q**2*x - 558*x**3 wrt o?\nAnswer: 9851941*q**2*x**3 + 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1804 - -5267. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4842 and 723072?\nAnswer: 2169216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3033213 - 13021?\nAnswer: -3112300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2, -4, -3, -1, 42 in decreasing order.\nAnswer: 42, 2, -1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 710*o + 4519 + 4462 = -5219 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/6, -5, -3, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21421, 85488, 192287, 341836, 534153, 769256, 1047163, 1367892?\n\"Answer: 3*v**3 + 21348*v**2 + 2*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 163.4 - 188. What is m rounded to 0 dps?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-86)\/(-3)*(63\/(-6))\/7. Which is smaller: -28 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, 66, -5, 0.5, -307.8 in ascending order.\nAnswer: -307.8, -5, 0.2, 0.5, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1532 is divided by 154?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -24629947970 to the nearest 1000000.\nAnswer: -24630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h\/(h\/((h\/((h\/(h*(h**3\/h)\/h*h))\/h))\/h)))**(3\/8))**19)**47)**38 assuming h is positive.\nAnswer: h**50901","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -13, -45, -119, -253, -465, -773?\n\"Answer: -3*p**3 - 3*p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39 - -67. Suppose -3*b = -q - 44. Is 24 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: c1c7 (base 16) to base 8\nAnswer: 140707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from {k: 4, t: 2, e: 1, o: 3, b: 9}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 27092 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -433 divided by 12?\nAnswer: -433\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*w + 3. Let b = 45 + -45. Suppose -y - 4 = -n, 2*n + 3*y = -n + 18. Solve -n*r - w = -b*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -2*m + 16. Let i(s) = 24*s**2 - 4*s + 3. What is the remainder when i(1) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*c = -3*w + 101, 4*c = -12. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -437 - -39?\nAnswer: -3cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -80 + 84. Calculate the least common multiple of 10 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 3*q. Let s(u) = 295580*u**2 - 2*u - 19. Give s(o(k)).\nAnswer: 2660220*k**2 - 6*k - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5 - 0*1\/(-3). Let r = i - -10. Suppose 2*u = 2*v + 4*u, 4*u = -r*v + 2. Solve 3 = -5*k + v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*h - 368 = -928 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.24?  (a) -80892  (b) 0.2  (c) 1  (d) -1\/4  (e) 2  (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/75*(-8775)\/(-702)*((-816)\/28)\/1?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 7627.\nAnswer: 3\/7627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**18*u\/(u\/u**13))**(-31) assuming u is positive.\nAnswer: u**(-961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1286 + 1357.9. Let j = 71.5 - d. What is the nearest to -0.1 in j, 1\/3, -4, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1840775837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 910.999999363 + -911. Round f to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 2*q**2 - q - 2. Let f(w) = 5*w**3 - 9*w**2 - 4*w - 11. Let o(c) = -6*d(c) + f(c). What is o(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7632?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/53350 and -14\/101365?\nAnswer: 1013650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 5352401?\nAnswer: 5352366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((2*sqrt(165))\/sqrt(5))\/(1*(sqrt(11)*2 - sqrt(11)))*4)**2.\nAnswer: 768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (3 - 4) - (6 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of 17*v**4\/4 - 2*v**3\/3 - v**2 - v - 22. What is n(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -4*c - 14. List the prime factors of j(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f + 3213*f**2 + 4*f - 5*f - 3199*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 4*d = 2*i - 10, 0 = 4*i - 3*d - 9. Let b be i\/(-9) - 4070\/(-15). Suppose -2*y - 2*y + 4*x = -236, 5*y + x - b = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 808 + -803. What is the smallest value in c, 3, -3, 2\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -384 + 2*f**2 - 91 - 1158.\nAnswer: 2*f**2 - 1633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(-6)*(10 + 0). Suppose -b*c - 75 = -225. What is the greatest common factor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 20\/3117 and -10\/3.\nAnswer: 3117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1482611047 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -54, -78, -104, -132, -162, -194, -228?\nAnswer: -264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 117348810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2 - 7*v + 60.\nAnswer: -(v - 5)*(v + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23467, 23465, 23457, 23443, 23423?\nAnswer: 23397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 18, -0.0103, -48, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -228474 + -160?\nAnswer: -228644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92*j + 29 + 50*j + 68*j + 78*j + 14 - 360*j.\nAnswer: -72*j + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -16, -12, -214, 0 in ascending order.\nAnswer: -214, -16, -12, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 316800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**2 + 4387*h**3 - h**2 - 5273*h**3.\nAnswer: -886*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 465622403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2294 - -2261)\/(11\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j. Let z(k) = -2*k - 7047. Give z(p(q)).\nAnswer: 2*q - 7047","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5673?\nAnswer: 3, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the third derivative of -z**4\/8 + z**2 + 17. Let u(q) = 76*q**2. What is t(u(p))?\nAnswer: -228*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 5*q - 381, -5*q - t + 4*t = -391. Let z = 4783 - 4861. Let y = z + q. Do y and 2\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + -3)\/((-4)\/(-2)). Let c be 1*(o - -1 - -5). Solve 3 + 17 = -c*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/21?  (a) 74  (b) 4  (c) 42  (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 21, 58, 131, 252, 433?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(2\/(4\/4)). Suppose -4*j + 4 = w, 0*j = 3*r - 2*j + 125. Let k = r + 96. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/2  (b) 302653  (c) 26  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*u - u + 0*u)*(9*u**2 - 8*u + 76 - 74 + u) to y*u**3 + m + w*u + g*u**2 and give y.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -58 + 59. Let g be 5*v + (-6)\/3*1. Suppose -5*a - 45 = -165. Solve g*q + 8*u = 5*u - 27, -4*q - u - a = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 234.3 - 341. Let k = 106.139 + b. Round k to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 - 1. Let t(c) be the second derivative of c**7\/360 - c**6\/720 - c**5\/120 + c**4\/3 + c. Let p(n) be the third derivative of t(n). What is p(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 20 - 30. Suppose -40 = -4*r + 5*g, 0*r + 3 = -r - i*g. Solve -k - 2*w + 1 = -0*w, 0 = 5*k - w - r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 + (-3 - 11) - 3) + (1 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, p: 1, d: 1, q: 2}. Give prob of picking 1 p and 3 m.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -356613 - 77*d**3 + 78*d**3 - 638*d - 830*d + 356617 to p*d**3 + r*d + u*d**2 + w and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 148*d - 86*d - 95*d + (0 - 3 + 2)*(37 - 26*d - 37) to i*d + x and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7.8 - 7.5. What is the fourth biggest value in 2, 0.4, b, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -204*p + 15612. Calculate h(76).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 96.72701m?\nAnswer: 96727010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 213 a factor of 4473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*c**2 - 163*c**2 - 61*c**2.\nAnswer: -153*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*z - p + 704 = -30*z + 8*z, -39*z - p - 330 = -21*z - 4*p for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/30 - (-2)\/1144*-107. Let b = 5\/52 + d. Calculate the common denominator of -151\/54 and b.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-40)\/(-50)*(-25)\/(-2). Suppose -4*s = -5*v + 5, 2*s + 5*v + 38 = 13. Sort 0, 4, s, a in increasing order.\nAnswer: s, 0, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-four fifths of a millisecond in microseconds?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of s**6\/120 + s**5\/5 - s**4\/6 - 2*s**3\/3 - 5*s**2. Let o be d(-12). Let z = o + -19. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -8023*w - 1203462. Determine i(-150).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891)*-4 + sqrt(176)\/sqrt(4).\nAnswer: -34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*u - 96038 = -103*u + 3*g, -4*u + 76860 = 5*g. What are the prime factors of u?\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5137.\nAnswer: 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 101\/140 + -9\/28. Let v = -6.92 + -0.08. Let f = 5 + v. Which is the nearest to -0.1?  (a) i  (b) 0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 327*y**3 + 439*y**2 wrt y?\nAnswer: 1962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(-2\/9))\/((s*s**(-3))\/s) assuming s is positive.\nAnswer: s**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 284267?\nAnswer: -284270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(77)\/(sqrt(70)\/(sqrt(10)*-1 - sqrt(10))))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-14)\/21)\/((-24)\/(-9))*-4. Let o be a*6\/(-4)*318\/(-9). Calculate the greatest common factor of 371 and o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w**(-2)*w))\/w)\/w*w*w\/(w\/w**(-1\/6))*w*(w**0)**(-2\/3)*((((w\/((w*w\/w**(-12))\/w))\/w)\/w)\/(w**2\/w))**(-33) assuming w is positive.\nAnswer: w**(2981\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -235\/335194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 + -24. Which is the nearest to h?  (a) -1\/3  (b) -2  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 3*u + 10 = -13, -3*i + 5*u = -10. Sort i, 26, -5, 3 in ascending order.\nAnswer: -5, 3, i, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 36300.\nAnswer: -1\/7260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -390 and 109.\nAnswer: -42510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 107*w. Let l(i) = -172320*i. Determine l(s(y)).\nAnswer: -18438240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 4*a - 6. Suppose g - a = 2. Suppose 3*t = g*d - 21 - 11, 0 = d + 4*t + 11. Solve -17 = 3*z - d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 + 30*x - 136. Let u be a(10). Let s(p) = -p**3 + 7*p**2 + 3*p - 2. Let v be s(5). Let g = u - v. Solve g = 4*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.91045 + -1.5.\nAnswer: -0.58955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 8 + 4 = 0. Suppose 4*s + 3*u = 19, 1 + 0 = u. Suppose 0 + s = j*b. Solve w = -4*v + 6*w, -5*v + b*w = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -31*a + 279. What is b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, n: 7}. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18884 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 + 22*a + 2. Determine w(20).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 558835 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 29 = 5*q. What is the second derivative of 28*n**5 + 0*n - q*n**5 - 19*n wrt n?\nAnswer: 520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 190\/(-8 - -27) - (-2 + 8). Solve v*m - 2*j - 16 = -3*j, -3*m = -j - 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -323 > -301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(44)\/sqrt(4) - (sqrt(11) + (sqrt(11) - -1*sqrt(22)\/sqrt(2))**2))*-2.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/8)\/(y**(-5)*y*y)*(y**(-1))**(4\/31) assuming y is positive.\nAnswer: y**(743\/248)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 4:44 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3053536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28818, 56858, 84898?\nAnswer: 112938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5.817 - 0.017. Let l = t - 6. What is the second biggest value in 4, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -2\/159, 8115, -12\/5 in increasing order.\nAnswer: -12\/5, -2\/159, 0.1, 8115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3724630 + 10?\nAnswer: 3724640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 924071, 1848122, 2772169, 3696206, 4620227, 5544226?\nAnswer: 6468197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 2*o. Let q(v) be the third derivative of -v**5\/30 - v**3\/6 - 2*v**2. Let s(k) be the first derivative of q(k). Determine s(l(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7 or 48\/11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0021 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7539 - -8179. Calculate the remainder when m is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.9953 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(84) - (sqrt(84)*-2 + sqrt(84)))*5)\/(-2*sqrt(768)).\nAnswer: -5*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 88553.9 + -1151765893?\nAnswer: -1151677339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2062470 is divided by 8217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 9:57 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3120 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:39 AM and 7:39 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 141 + -138. Suppose -10*i - a*i = -468. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 303 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -12 + -9c0?\nAnswer: -9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/390 and (3\/27)\/(2860\/1298).\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 - (-3432 + 0) - (70\/(-10) - -6) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -4*b**2 + b**2 - 9 - 2*b**2 + 3*b - b**3 + 1. Let s be j(-6). Suppose 87*i = 84*i + 4*l + 2, -44 = -4*i - 5*l. Solve i*q = q - s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 11, 343, 7, -4 in ascending order.\nAnswer: -4, 2, 7, 11, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26852148 and 26852148?\nAnswer: 26852148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12484 is divided by 1365?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes after 2:44 PM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -591*y + 597*y - 18 - 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 60 in 2.7, 27, 5?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5816894 = 81*g + 28*g. What are the prime factors of g?\nAnswer: 2, 26683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 119*a - 5853646 + 716535 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 336445312 by 7.\nAnswer: 48063616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -910*g + 10336. Calculate d(12).\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 191\/133 - 30\/19. Let n = -7 - -24. Suppose -2*k - 13 = -n. Which is the second smallest value?  (a) u  (b) k  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 119 + 129 = 0. Let q be 2*1 - 63\/28. Which is the third biggest value?  (a) q  (b) -3\/5  (c) u  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -15*l**2 + 7*l - 7. Let s(m) = -7*m**2 + 3*m - 3. Suppose 12*k - 280 = -6*k - 46. What is k*s(i) - 6*o(i)?\nAnswer: -i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.085 and -0.0572103.\nAnswer: 0.0277897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -2*o - 7. Give x(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 11*b - 7. Let g be h(1). Factor 44*m**2 + 14*m**4 + 3 - 26*m - 36*m**3 + 2*m**5 - g*m**5 + 3.\nAnswer: -2*(m - 3)*(m - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101 + 101011001101010011000110?\nAnswer: 101011001101010011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 152, 289, 440, 611, 808, 1037, 1304, 1615?\n\"Answer: a**3 + a**2 + 127*a + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 35814619*n**3 - 11463188*n wrt n?\nAnswer: 214887714*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 610 is divided by 21*(6800\/(-420))\/(-10)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 457353097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 356*x**2 + 1. Let k(v) be the third derivative of v**4\/8 - 931*v**2. Calculate b(k(n)).\nAnswer: 3204*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -c**4\/6 + 200*c**3\/27 + 284*c**2\/9 + 32*c - 3987. Determine w so that t(w) = 0.\nAnswer: -2, -2\/3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -364*f + 557*f - 490*f + 0 + 0 - 2*f**2. Let d(n) = 8*n. What is d(j(h))?\nAnswer: -16*h**2 - 2376*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 16, -0.5.\nAnswer: -0.5, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -4*p + 143. Let v = p - 24. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237130 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -586 + 259*m - 476 - 20*m + 483 wrt m.\nAnswer: 239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 + 3*b - 91. Calculate u(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -5*a - 2. Let b(o) = -7*o - 1. Let r(i) = -i. Let g(n) = b(n) - 3*r(n). Let s(y) = 4*g(y) - 3*t(y). Give s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6901316131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 67605683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ts when two letters picked without replacement from tqts?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.03, 25, -2\/11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 135360 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 7:34 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 19000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -1\/3, 2, 184, 0.1, -4\/51, 5\/3, 4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 - 204*s**2 + 208*s + 611. Let n be l(-205). Let p(u) = -u**3 + 4*u**2 + 4*u - 4. Let b be p(5). Sort n, 0, b in decreasing order.\nAnswer: 0, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -361 + -34?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**14*b**(-2\/39))\/((b*b*b**(-3\/10)*b)\/(b\/(b\/b**(-11\/2)))) assuming b is positive.\nAnswer: b**(1121\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 473732\nAnswer: 473738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 - 24990*a**2 + 100020*a - 100040.\nAnswer: -5*(a - 2)**2*(a + 5002)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2 = -5*i. Let c(o) be the second derivative of 0 - o + 1\/20*o**5 + 3\/2*o**2 - 1\/3*o**3 + 0*o**4. Give c(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*1288\/(-28)*3\/9?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1271125\/175 + 6\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 674100 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -934, -3349, -8746, -18619, -34462, -57769?\nAnswer: -90034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + o + 2 - 29 = 0, 0 = -4*v - 5*o + 103. Let h = 10 + -6. Let g be 32\/(-6)*(-6)\/h. Calculate the highest common divisor of g and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1601566 is divided by 4882?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**2 - 22*c - 1. Let u be b(7). Let n = -77 + u. Suppose n*g = 360 + 56. Calculate the highest common factor of g and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2630975 rounded to the nearest 10000?\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + -4 - 2204\/(-232))\/(45\/12 - -1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 3*j**2 - 87*j + 92. Let h be q(28). Let v be 10 + (-72)\/h + 4. Solve v*l - l = 0, 2*i + 8 = -5*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 3  (b) 5\/6  (c) -4  (d) 92  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -55448491 divided by 7\nAnswer: -7921213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -1190*u**2 - 863*u - 30. Let z(d) = 2381*d**2 + 1726*d + 65. Let s(w) = -13*g(w) - 6*z(w). What is the second derivative of s(i) wrt i?\nAnswer: 2368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 18 + -10. Let l be ((-14)\/2 - -4)*(5 - (-107)\/(-21)). What is the nearest to -2 in l, 1, g, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*k - 12*k - 43*k = -4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the second derivative of o**3\/6 - 5*o**2 - 2*o. Let r be g(10). What is x in 0*x + 4*x - 3*x**3 + r*x**4 - x**4 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -698 + 1529. List the prime factors of l.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/(-42))\/(1\/3)*(-28)\/(-12)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -26*w - 47. Calculate m(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4998\/(-272))\/21)\/((-3)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 196 + -115. Calculate the remainder when w is divided by 43.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -23 and 478.003558755.\nAnswer: 455.003558755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than -6420?\nAnswer: -6419.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -3*z + 5. Let m be n(-16). Suppose 0 = 58*a - m*a. Suppose a = -5*u - 2*b - 30, -5*u - b - 13 = -3*u. Sort u, 4, 5, 6 in descending order.\nAnswer: 6, 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yeecqycceceoyce. What is prob of picking 1 q and 1 o?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5686438, 5686440, 5686442?\n\"Answer: 2*v + 5686436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+-177461662\nAnswer: -177461662.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1073459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -43 - -58. Let c be (-6)\/(-3 - s\/(-10)). Suppose c*p = 3*p + 18. What is the remainder when p is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 2. Let i(j) = -j - u*j + 5*j + 12*j**2 - 2*j. Is i(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*k + 54 = 57*k. Calculate the highest common divisor of 81 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 3*q = 3, f = -4*q - 5 + 1. Let o(u) = 199*u - 999. Let i be o(5). Sort -19, f, -2, i.\nAnswer: -19, i, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9, 0, 23, 66, 135?\n\"Answer: g**3 + g**2 - g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 24\/5 + (-5)\/(-25). Suppose 30 - 32 = 2*n. Let b = n + 21. Solve 3 = -k*j - 4*a - b, 0 = 3*a + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 13*r - 3. Calculate j(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -15  (b) 0.3  (c) -1  (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3, -39, -135, -321, -627, -1083, -1719?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4960032 = 4*f - 4*y, 3*f - 2054052 = 4*y + 1665976. Suppose 4*h + 2*r - 2480004 = 0, -r - r + f = 2*h. Round h to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-2672)\/(-6) + -1 + 55\/33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n - 1. Let k be o(1). Let s(d) = d**2 - 6*d + 7. Let z be s(5). Let g(j) = -2*j**2 - 3*j - j - 2 + 0*j**z. Give g(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-2 + (sqrt(49) + 1*sqrt(784))\/((sqrt(84)*-1)\/sqrt(12)))**2.\nAnswer: 20*sqrt(7) + 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -5*x**2 - 8*x**2 - 3*x - 3*x - 15 + 14*x**2. Suppose 10 = -v - 2*g, -5*v = -3*g + 8 + 42. Is q(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 2821 = -0*x - 2*h, 2*x + 3*h = -1872. Let c = x + 1562. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2920\/414943?\nAnswer: 2920\/414943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -49757\/595, -1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5653539.9 - -10960.\nAnswer: -5642579.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5986.303g in milligrams?\nAnswer: 5986303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1507 - 1435. Calculate the remainder when 2302 is divided by g.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 20, -0.06, -14, -0.174?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 179 - 109. Is a a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85, 96, 115, 142, 177, 220?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3036*i**2*t**4 + 92*i**2*t**2 - 25*i**2 - 2*i*t**4 wrt t.\nAnswer: 72864*i**2*t - 48*i*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 3*z - 3. Let g(k) = -1597*k + 2 - 1615*k + 3209*k. Calculate -4*g(y) - 3*i(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f + 27 - 17 - 10 + 371*f + 2*f.\nAnswer: 372*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*x**3 + 0 + 2\/9*x**2 + 2\/9*x - 2\/9*x**4.\nAnswer: -2*x*(x - 1)*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 39, -1.14, -13, -2 in descending order.\nAnswer: 39, -1.14, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 380 + -380. Suppose 5*z - r + 2 = a, 2*z + z + 3*r - 6 = 0. Solve -w + 23 = -3*f + w, z = -3*w + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1 = 2*h - 4, 0 = 3*h - 5*s - 5. Let o = 2 - h. Suppose -5*k + k + 32 = 2*y, 0 = 4*k - 3*y - 42. What is the smallest common multiple of k and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3520.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 5*q - 0. Suppose -7 + 4 = -3*l, 5*l - 23 = q*s. Is 4 a factor of 4\/s + 28\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 15*x + 19. Let i be q(13). Let j(b) = -b**2 - 2*b - 2. Let f(v) = -v**2 - 3*v - 2. Let t(r) = 4*f(r) - 3*j(r). Give t(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/((-1 + 2)*1). Suppose 0 = 5*x - q - 10. Solve -v - 15 = x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -669*u - 12420*u + 6544*u.\nAnswer: -6545*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 1. Suppose 0 = -l - a, u + 2*l - 1 = l. Let s be u\/((-4)\/2)*-30. Round s to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 66*p**3 - 396*p**2 - 10*p + 74. What is w(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -126, -107, -64, 15, 142, 329?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 308e4?\nAnswer: 308e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-972)\/1190 - (1 + 45\/(-25)))\/((-9)\/63).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = g - 2*g. Let b(z) = z**2 - 4*z + 2. List the prime factors of b(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, g: 1, l: 5}. What is prob of sequence gllj?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 420 = 12*v. Find the first derivative of 16 - 23*x**2 + v*x**2 - 14*x**2 wrt x.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.07011 to one decimal place.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001894 to five dps.\nAnswer: 0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.424010875 + -0.606?\nAnswer: -1.030010875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 7*v**2 + 59*v + 250. Give k(-5).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the third derivative of -8*d**2 + 0*d**3 + 0 + 0*d + 1\/30*d**5 + 0*d**4. Let n(i) = -9*i. Determine z(n(l)).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8.6 - -9. Let z = u - 0.5. What is the biggest value in z, 3\/8, -0.5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 302567103 and 12?\nAnswer: 1210268412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 13860 and 1197?\nAnswer: 263340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -7\/2*l + 5\/3*l**2 - 1\/6*l**5 + 3\/2 + l**3 - 1\/2*l**4.\nAnswer: -(l - 1)**3*(l + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3 = -3*n, 17*n + 10 = 22*n. Which is the nearest to -1\/6?  (a) k  (b) 0.2  (c) 4  (d) 9\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + 3.8. Let n = a + -1. Let d = -0.5 - n. What is the nearest to -1 in d, -0.5, -3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, y: 1, t: 4}. Give prob of sequence jjtt.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 702, -753, -4694, -12363, -25002, -43853, -70158, -105159?\n\"Answer: -207*c**3 - c**2 - 3*c + 913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tflf when four letters picked without replacement from {l: 2, t: 1, q: 1, w: 1, f: 1, s: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.13220703 - -0.1322. Round n to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 242*o**4 + 1980*o**3 + 3258*o**2 + 544*o + 24 = 0?\nAnswer: -6, -2, -1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/5 of a hour in seconds?\nAnswer: 9360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lolttllglgtlgllxlx. Give prob of picking 1 g and 2 t.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**2*l*m**3 + 103*f**2*l*m**2 - 16*f*l*m**3 + l*m**3 - 2*l*m**2 wrt f?\nAnswer: 2*l*m**3 + 206*l*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53444*v - 1039*v + 8248*v.\nAnswer: 60653*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*v**3 + 2*v**3 + 3*v**3 + (4*v**2 - v**2 - 5*v**2)*(-5*v + 2*v + v) + (7*v**2 - 7*v**2 - 6*v**2)*(-2*v + 0*v + 0*v) - 7*v**3 - 39 + 8*v**3 - 76*v + 38.\nAnswer: 18*v**3 - 76*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 29803 (base 10) to base 14\nAnswer: ac0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*j*p**2*q**3 - 2*j*p**2*q + 2*j*p**2 + j*p*q**3 + 6*p**2*q**2 + 76*p*q**3 + 180*p + q**3 wrt q.\nAnswer: -12*j*p**2 + 6*j*p + 456*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 12739996351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -466538324 + -0.015681?\nAnswer: -466538324.015681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 12*u + 6. Let q be j(-3). Let d = q - -32. Put -3, -2, d in increasing order.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 109694 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(63)\/(sqrt(9)*-1) + -4.\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-5))\/((-6)\/(-480)*8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 3*r**2 - 2*r - 3. Let n be k(-1). What is the tens digit of -8*n\/4 + 1*15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 6) in base 4?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.04 - 9875749063\nAnswer: -9875749063.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p + 5*o - 551 + 491 = 0, 3*p - 29 = -2*o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the first derivative of 2*n**3\/3 + 2*n + 1. Differentiate x(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.4, 16723, -4\/9, -0.2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 369144.015803 and -2.54.\nAnswer: 369141.475803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 90, 159, 228, 297, 366?\n\"Answer: 69*p + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 4*m - 201, -w - 57 = -m + 2*w. What is the remainder when m is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 2*d + 18 = 0, -d = 4*s + 2*d - 19. Suppose 4*f - 53 = -3*p, -s*p + 105 = -5*f + 24. What is the first derivative of -5*j + p + 0*j - 6*j wrt j?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/12 + (-201)\/(-9). Is (f\/(-33))\/(2\/(-1869)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 114\/5, 4, -0.3, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**8\/14 + 13*r**7\/6 + r**6\/30 + 8*r**4\/3 + 17*r**2 - 5505*r. What is the third derivative of o(w) wrt w?\nAnswer: -480*w**3 + 5460*w**2 + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l - k - 28 + 8, l = -2*k + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -30 (base 6) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1916 a factor of 594937780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is (17\/(-34))\/((-2)\/1012) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - 28) + (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*o**4 - 1304687*o**3 - 5250506*o**2 - 132088*o = 0.\nAnswer: -16511, -4, -2\/79, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9935172 is divided by 1183?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from czcnlvx. Give prob of picking 1 x, 1 l, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**3 + 1. Let r(j) = 8*j**3 - 115*j**2 + 4*j - 4. Let y(k) = 3*g(k) + r(k). Find the second derivative of y(u) wrt u.\nAnswer: 12*u - 230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 12*l**3 - 2*l**2 + 5*l - 5. What is i(2)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 179 - 156. Suppose 38*c = g*c + 1785. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -32 - -7. Let k be (10\/n)\/((-2)\/(-30)). Let i = 16 + k. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*u - 0*z - 4*z, -z = 0. Suppose u*p - 1 = -p. Calculate the lowest common multiple of 5 and -1 - (p + 2 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kkjkeke. Give prob of picking 1 e and 1 k.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.749002 to 1 dp.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (1 - -1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1226*w**3*z**3 + 22*w**3*z + 1602*w**3 - 13*w**2 wrt z.\nAnswer: 3678*w**3*z**2 + 22*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-49)\/(16 - 9) + (-33)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 14056 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -12120221110002?\nAnswer: 12120221110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3225014 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - 5*k + 17, -12 = -5*k + 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8\/(-3)*27\/(-6). List the prime factors of (-2)\/(-1) + -11 + t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 not equal to -147\/701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 + 13. Suppose -2 = -r*p + 3. Solve -u + m = -6, 0 + p = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + r + 3*t - 12 = 0, r - t + 4 = 0. Suppose -x + r*o + o = -144, -5*x = -o - 704. What is the greatest common divisor of x and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0.26  (c) 0.4  (d) -281\/6  (e) 2\/27  (f) -5  (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express f**2 + 2*f**2 - 4*f**2 + 5 as n*f**2 + w + i*f and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 3781776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of c**3\/3 + 1. Let z(n) = -1 + 1 + 42040*n**2 - 42059*n**2 + 0. Give k(z(r)).\nAnswer: 361*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 j, and 2 n when four letters picked without replacement from jhjnjnnnnnnnnnn.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31025*d**2*x**3 - d**2*x**2 - 3*d**2*x + 2*d*x - 342*d - 16*x**3 + x + 2 wrt x?\nAnswer: -186150*d**2*x - 2*d**2 - 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1423 - -1405. Let c be -3*(-2 - (-41)\/1). Let w = i - c. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -2, -10, -22, -38, -58, -82, -110?\n\"Answer: -2*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 2)*(-1 - 1 - 9)*(7 - 13 - 2)*(-g + 2*g - 4*g) to x*g + f and give x.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 956 - 322. List the prime factors of n.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/13662 and 137\/218592.\nAnswer: 218592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the third derivative of 2*w**2 + 0*w - 1\/2*w**3 - 1\/8*w**4 + 0. Differentiate c(i) with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 13 = -3*s. Put s, 0.08, -4 in descending order.\nAnswer: s, 0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10026 (base 9) to base 12\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1669292 divided by -1\nAnswer: 1669292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 3 = j. Let r = -13 - j. Suppose r*a - 19 = -m - 2*m, -2*m + 16 = 5*a. Solve 0 = -a*x + 5*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b\/(b\/(b**(-14\/9)*b)))\/b*b*b\/(b**1\/b))\/(b**13)**(-27))**26 assuming b is positive.\nAnswer: b**(82238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -164*j**3 + 127*j + 64*j + 2 + 324*j**3 - 161*j**3 to the form z*j**3 + q + p*j + w*j**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -143997, 9, 161, 4 in descending order.\nAnswer: 161, 9, 4, -143997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -335 or -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 67, 66, 65, 64, 63?\n\"Answer: -w + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 33265 + -4594?\nAnswer: 28671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1055 (base 12) to base 4\nAnswer: 130001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*z**3 + 63*z**2 - 32*z**2 - 30*z**2 - 2*z + 2 + 2*z**4 to t*z**4 + b*z**2 + d + n*z**3 + q*z and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 145*49\nAnswer: 7105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*q = 4230 - 924 for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 - 4*y**2 - 3891*y**3 + y**2 + 3949*y**3 + 6*y**2.\nAnswer: 58*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rhr when three letters picked without replacement from {r: 4, h: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*j - 27*j + 8 = 0. Suppose 0 = 2*a - 0*a - m - 6, -8 = -4*a + j*m. What are the prime factors of ((-46)\/(-5))\/(-4*a\/(-40))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-49)*(-21)\/18?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - -1. Let j = -3.9 + 7.9. What is the closest to 1\/2 in -1\/6, j, g?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 - c**2 + c + 10. Let l be w(0). Let i(d) = 2*d**3 + 31*d**2 + 105*d + 5. Let s be i(-10). Calculate the highest common factor of l and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4\/13 - 2048*d**3\/13 - 511856*d**2\/13 + 6365184*d\/13 - 19319328\/13.\nAnswer: -2*(d - 6)**2*(d + 518)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 12479 (base 15) in base 10?\nAnswer: 58389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -1)\/(96\/144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*s - 21*s - 52 = -2*d, 4*s + 16*d - 356 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqveeqqqeeqq. What is prob of sequence vqq?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(1\/3))**(-18)\/(((a**(-4\/9)\/a)\/a)\/(a**(-6)*a)))**(-2\/31) assuming a is positive.\nAnswer: a**(478\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50 and 2001275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -930.70446 to 1 decimal place.\nAnswer: -930.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -m**2*w**2 - 2*m**2 + 12*w**2 + 2590*w - 7151796 wrt w?\nAnswer: -2*m**2*w + 24*w + 2590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that p**3 - 21458*p**2 - 42919*p - 21460 = 0.\nAnswer: -1, 21460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*i - i + 36 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 6:25 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -72*y**2 + 198*y - 12. Determine s(3).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -658.4339526 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10245735?\nAnswer: 3, 5, 223, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(198)\/(sqrt(216) + sqrt(216)*-3 - sqrt(6)))\/(3*(4*sqrt(275) - sqrt(275))).\nAnswer: -sqrt(3)\/585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1877842357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 2. Let t(g) = -2. Suppose -5*r - 19 = -2*o, 2*o + 24 = -2*r + 22. Give r*l(x) - 4*t(x).\nAnswer: -3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 3*x = 4*k - 23, 3*x + 15 = 0. Suppose 903 = k*i - 243. What is the hundreds digit of (50\/15 + -4)*i\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 6*v - 3*s + 4 = 0, -2*v + 16 = -3*s. Calculate the least common multiple of 50 and v.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 10*m**2 + 11*m + 11. Is j(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 16410, 65660, 147748, 262674, 410438?\n\"Answer: 16419*m**2 - 7*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - 4 + 16 = 0. Let l(g) be the first derivative of 7\/10*g**2 - 4\/5*g**u + 1\/5*g - 1 + 8\/15*g**3. Factor l(k).\nAnswer: -(k - 1)*(4*k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 + (17 - 70 - -58)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-15) + (-42)\/(-10). Let x = -4 + p. Solve 6*b - b + 5*j - 5 = x, -5*b + 2*j = 2 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 0)\/((-11)\/(-605)). Let u = d - -52. Is (-104)\/24*u*9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5958 divided by -3\nAnswer: 1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 456 a factor of 34710264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.03 in 4, -0.3, 3615, -1\/4, 11, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000045477 to 6 dps.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -67 + 64 - (0 - (2 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -2513, -5230, -8079, -11126, -14437, -18078?\n\"Answer: -11*c**3 - 2640*c + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -68.57867 times 74\nAnswer: -5074.82158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-18)\/(x\/(x\/x**(-1\/7))))\/(((x*((x*x**(-7))\/x)\/x)\/x)\/(x*x*(x**(-23)\/x)\/x)) assuming x is positive.\nAnswer: x**(-230\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -11 and 1368.\nAnswer: -15048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*d - 122*d + 48*d - 224 + 32*d.\nAnswer: 3*d - 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Are -2075\/57862 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 618431, 618436, 618441?\n\"Answer: 5*h + 618426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 161 divide 108935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 904 = 5*h, -f - 273 = -3*h - h. Let i = -91 - f. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1208, 1206, 1204, 1202, 1200?\n\"Answer: -2*x + 1210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 42 in 4, 5, 7, 6.179?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17155 is divided by 429?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l - 12. Let u be i(7). Suppose -5 = -w, 3*m - 7*w + 2*w + 49 = 0. Let p = m + 5. What is the third biggest value in u, p, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 10, p: 10}. What is prob of picking 3 q?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 1\/7  (c) -2\/21  (d) -0.74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/7)\/r)**(-14))**(-1\/24)*(r**5*r)\/r*r**6*r*r**(1\/2)*r*r\/r**(-2\/3)*r assuming r is positive.\nAnswer: r**(185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 18*v + 762912. Suppose v = 10*n - 8128. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -6*t - 115 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 58 = 5*l. Let u = l - 26. Let w(k) = k**2 - 2*k + 2. What is w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2139*d**2 - 1408*d**2 - 375*d**2 to the form v*d**2 + s + b*d and give v.\nAnswer: -3922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70146 and 23382.\nAnswer: 70146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-8)\/16 + 17\/2. Suppose 6*g = 8*g - s. Suppose -g*v + 3 + 17 = 0. What is the lowest common multiple of v and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**5\/13 + 2468*g**4\/13 - 394996*g**3\/13 - 1328*g**2 + 2750262*g\/13 + 2370060\/13 = 0 for g.\nAnswer: -2, -1, 3, 189, 1045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 1 = 2*n. Let v(d) = -2*d + 25*d**2 + 3*d**2 - 5*d**2 + 1. Is v(n) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 8) to base 14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.889707 rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 140*y**2 - 1072*y\/3 - 704\/3.\nAnswer: -(y + 44)*(3*y + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 367176.9 minutes?\nAnswer: 22030614000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 81697638?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 144958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -14*y**3 - 6*y**2 + 10*y + 3. Let a(h) = -39*h**3 - 17*h**2 + 31*h + 9. Determine -4*a(k) + 11*u(k).\nAnswer: 2*k**3 + 2*k**2 - 14*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - p**4 - 1 + (-2*p + 6*p - 2*p)*(2*p**3 - 3 + 3) - 5*p**4 - 5*p**4 - 3*p**4 - 2*p**4 - 6*p + 6*p.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20 + 20.58. Let q = f + -0.38. Sort -5, q, -4, 4 in decreasing order.\nAnswer: 4, q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 344  (b) -0.5  (c) 0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.9157 + 1.956. What is h rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2964.015 days to milliseconds.\nAnswer: 256090896000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rrkkkyyrr. Give prob of picking 1 y and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 10*b**2 + 11*b + 6. Let k be h(-11). What is the first derivative of -3*f - 3 - f - k wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 309, 409, 675, 1191, 2041?\nAnswer: 3309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 3*t**2 + 4*t + 4. Let k be x(4). Suppose -k*c + 14 = 2. Solve 0 = -f + 2 + c for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69*v + 69*v + 21*v**2)*(-2*v**2 + 3*v**2 + 0*v**2) + (4*v + 2*v - 4*v)*(8*v**3 - 7*v**2 - 2*v**2 + 5*v**2).\nAnswer: 37*v**4 - 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w + 1. Let c(z) = -6*z - 5. Let x be -2*1\/2 - 0. Let m(r) = x*c(r) - 5*j(r). Let d(o) = -2*o. What is d(m(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(11) + -1)**2 - (sqrt(176) + 0))*-4.\nAnswer: -48 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5460328158?\nAnswer: 2, 3, 17, 31, 1726859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -76*g*p**3 - 29*g*p + p**3 + 540*p**2 wrt g.\nAnswer: -76*p**3 - 29*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3\/5, -0.1, 3, 25033, -2, -5?\nAnswer: 25033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2270*m**2 + 1128*m**2 + 1138*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 455608.5 weeks?\nAnswer: 275552020800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -9 - -8. Suppose -9 = -3*y - 0. Calculate the smallest common multiple of (3\/(-2))\/(o\/6) and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11)\/(-22)*1*2\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 18269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/15, -1\/21, -1\/3, -4\/11, 3, -6, 5?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1216 and 128.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 49181.3275 rounded to the nearest one hundred?\nAnswer: 49200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9834 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 82530 is divided by 7498.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -210.\nAnswer: -1\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 260 - 183. Calculate the remainder when w is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 266 - 77 = 0. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 211775864.\nAnswer: 2, 29, 37, 24671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, 48, -3212 in decreasing order.\nAnswer: 48, 1\/3, -3212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 9*l**3 - 14*l**2 - 14. Let s(y) = -6*y**3 + 9*y**2 + 9. Let w(x) = x**3 - 17*x**2 - x + 9. Let j be w(17). Calculate j*s(r) - 5*z(r).\nAnswer: 3*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 63895064 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/17484 and 61\/705?\nAnswer: 87420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s**2 - 149*s - 55. Calculate g(38).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 23*r - 69 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5*g + 21 = 0, 17*s = 12*s - 2*g + 125. Solve 3*u + s = -2*b, 4*u - 2*b + 6*b + 36 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 18*q**2 + 3*q + 42. What is b(18)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 1383\/49933 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.16, -104514, 1\/3, -0.4.\nAnswer: -104514, -0.4, 0.16, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -m**2 + 12*m + 3. Let k be u(8). Let i = 24 - 27. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -58 + 61. Suppose -h*d - 8 = d. What is the tens digit of (-1542)\/(-42) + (d\/7)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -640*q + 564*q = -1353*q - 832*q + 33744 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1, 486, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2234307*b**2\/2 + 1356636*b + 411864.\nAnswer: 3*(863*b + 524)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x and 2 h when four letters picked without replacement from xhyxohmohhahhooymxx.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(1\/11)*b*b)\/((b**(-5)\/b)\/b)*(b*b*b\/((b*b*b*(b\/b**5)\/b)\/b)*b)\/b**(-6) assuming b is positive.\nAnswer: b**(254\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2 + (sqrt(275) - (1 + sqrt(275) - sqrt(275))) + sqrt(275)) + 2 - ((-3*(sqrt(44)*2 - sqrt(44) - sqrt(44)) - sqrt(44)) + sqrt(484)\/sqrt(176))**2*-6.\nAnswer: 30*sqrt(11) + 307\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2 - 203*w - 29498.\nAnswer: (w - 301)*(w + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 10:24 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 0*q + 3 + 20*q - 47*q + 2.\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11976647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, e: 8}. What is prob of sequence aeae?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3890 - 81?\nAnswer: -3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.02 - 1.02. Which is the closest to 0.1?  (a) 4  (b) m  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -5*i. Suppose 23 = 4*w - 5*o, 18 = 3*w - 0*w - 4*o. Let t(g) = 0 - g**2 + 4*g**w + 0. What is t(d(p))?\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 less than 0.2?\nAnswer: -43.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 351 (base 12) to base 5\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -15 + 12. Let u = -93 + 648\/7. Which is the third smallest value?  (a) u  (b) -0.2  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3477252.93 + 16.81\nAnswer: -3477236.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 144 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 35 minutes after 11:09 PM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-321)\/(-214))\/((-9)\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**3 - 7*y**2 + 4*y + 5. Let g be v(6). Let k = g - 2. Is 166\/18 - (-2)\/k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 a factor of 1301100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {z: 5, y: 1, p: 1, d: 3, k: 5}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p - 25. Let d be c(13). List the prime factors of d*71*(6 - 3).\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8060883.\nAnswer: 3, 19, 103, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.288434 and 928.\nAnswer: -267.666752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*p**4 - p**3 + 4*p**5 + 11*p**4 - 3*p**2 + 17*p**3 = 0. What is p?\nAnswer: 0, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 + 0)*(-s + 0 + 0) + 775*s - 25267 + 25267.\nAnswer: 774*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -5*k**5 + 207075*k**4 - 2859291400*k**3 + 13171793779000*k**2 - 118354670245200*k + 184045036392560 = 0?\nAnswer: 2, 7, 13802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 2*h + 184 - 734 = 0, 4*h - 520 = 5*b. What are the prime factors of ((-2)\/9)\/(-1) + (-22980)\/b?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 278. Let q = -1 - -1. Suppose q = 3*k + h - 161, -3*k = -8*k - h + l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 355*g**2 - 1523*g + 13. Let x be c(6). Calculate the greatest common factor of 85 and x.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5976305090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.91637596822 and 0.\nAnswer: 0.91637596822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iuuuiiiuriuriiii. What is prob of picking 2 r and 1 i?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -1\/3  (c) -19  (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -16  (b) 20  (c) 1.333\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 990 = h, 3*z - 4*z - 4*h = 502. Let i = z - -494. Let j = -2 + 2.01. Is j at most i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u - 104 = -u. Suppose 0 = -5*r + w + u, -2*w - 14 + 3 = -5*r. Which is the third smallest value?  (a) r  (b) -1  (c) -0.04  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23116*l**3 - 22742*l**3 + 4*l**2 - 5*l - 7*l**2 - 8*l**2 wrt l?\nAnswer: 2244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 36414?  (a) -11\/6  (b) -0.1  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -y + 24. Let v be (-9)\/(3 + y) + 144. Suppose 0 = -0*i - 3*i + v. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-6 - -6)*(-1)\/(-3). Sort 61, 5, -1, n in decreasing order.\nAnswer: 61, 5, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -7*d + 5*d. Let m be (2 + d)*2\/(-2). Suppose -u + 5*u - 24 = m. What is the lowest common multiple of u and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -94017 at most as big as -94018?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -32 - 12 - 23 - 902*f - 34. Is k(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*-1*(-1 + sqrt(1539) + -5))**2 + 0.\nAnswer: -1728*sqrt(19) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2224*b*i**2 + 2824*b - 56115*i**2 + 207*i with respect to b.\nAnswer: 2224*i**2 + 2824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -j**3 + 2*j**2 - 64 wrt j?\nAnswer: -3*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 289 = 231*i + 1197 + 478 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 21*j**2 - 46563*j + 13302.\nAnswer: 3*(j - 2217)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*u - 36 + 36 in the form f*u + p and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**3\/5 + 3931883*a**2\/5 - 3864927947363*a\/5 + 3864924015481\/5 = 0.\nAnswer: 1, 1965941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 248690 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 446\/7 equal to 63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2622*m**3 - 1593*m**3 - 1027*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-3))\/((-12)\/54). Suppose 7*r = -m*r + 1521. Let a = r - 105. What is the smallest common multiple of a and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 111582619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5 + sqrt(76)*-3) - ((3 + sqrt(475))**2 - (sqrt(38)\/(sqrt(6)\/sqrt(3)))**2).\nAnswer: -470 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 28349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 121*h**3 + 2*h**2 + 30*h wrt h?\nAnswer: 726*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 60, -12, -90 in ascending order.\nAnswer: -90, -12, -1, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2377*p**2 - 1641*p**2 + 799*p**2 as a + t*p**2 + m*p and give t.\nAnswer: -3219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4302111785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 861744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 179 divide 25078079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (112\/(-12))\/(-4) + -1.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 548809.6 tonnes?\nAnswer: 548809600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 360*l = 363*l - 30 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 62 - 111500?\nAnswer: -111405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -40, -99, -202, -367, -612, -955?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 82826772 and 3370857.\nAnswer: 579787404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -15*o**3 + 33*o**2 + 33*o + 33. Let f(i) = i**3 - 2*i**2 - 2*i - 2. Suppose 46*w - 48*w = 4. Determine w*z(l) - 33*f(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -152)*(-7)\/7. Suppose -q = 2*m - 409. Suppose -4*b + m + 187 = 0. Calculate the remainder when b is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1121002 (base 3) to base 9.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h and 1 k when three letters picked without replacement from kkkhkkhhkk.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 18*h**2 + 4*h + 19. Calculate g(0).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.049909 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -2923, 9, -109?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*f**0)\/f**(-1\/13))\/(f*f**(1\/5)*f**(6\/11)))**(-2\/13))**(10\/9) assuming f is positive.\nAnswer: f**(1912\/16731)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (322\/28 - 13)*(-28)\/6. Let b be (-626)\/(-6) - 8\/(-12). Calculate the highest common factor of b and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c8d05 (base 14) to base 10\nAnswer: -485497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2815 + 2814.9. Which is the nearest to h?  (a) -1  (b) -2  (c) -0.157  (d) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, h: 3, o: 1, v: 9, j: 1}. What is prob of picking 2 h?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = -v + 571, -4*v + 8*v - 2276 = 4*m. Suppose 20*c = 17*c + v. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/2*(-10)\/(-4). Suppose -5*z = r - 4, p*z + 59 = -4*r - 0*z. Let t be (8\/3)\/((-14)\/r). Solve -4*h + 4 = -h - 5*q, t*q - 1 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (4 - (0 - -3))\/((-2)\/916). Let k = 925 + i. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12039347*f*r - 6595291*r + 1 wrt f.\nAnswer: -12039347*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*s**5\/3 + 64360*s**4\/3 + 1353395*s**3\/3 + 4772330*s**2\/3 - 8252000*s + 6188640 = 0. Calculate s.\nAnswer: -12, 1, 2, 12893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*p**3 + 27*p**3 - 34*p**3 - 28*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -2*z**4\/15 - 2*z**3\/3 - 4*z**2\/5 + 8*z\/15 + 16\/15 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2755, 2739, 2709, 2665, 2607, 2535?\nAnswer: 2449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cmcv when four letters picked without replacement from lvcvlkvkkvlvvcmclv?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -2*o - 6*o**2 + o**3 + 1 + 3*o**2 + 2. Let w = -467 + 381. Let z = w + 89. Give t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 3 + 0*z + 0*z**2 - 2\/3*z**3. Let u(d) = -11*d. Calculate u(j(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**7*y**(-2))\/(y*y*y**(-1\/5))**(-1\/10))**36 assuming y is positive.\nAnswer: y**(4662\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 578, 20, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-86 - -22 - -35) + 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 65\/6766014 and -46\/1127669.\nAnswer: 6766014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 126 + 33da52?\nAnswer: 33db78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/7))**(-47)*(y*y\/(y*y**(-7))*y)\/(y*y**(-2\/25)) assuming y is positive.\nAnswer: y**(-936\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -624 - 296 = -4*y. What is the smallest common multiple of 35 and y?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (30\/(-25))\/(2\/(-150))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + r = 10*p - 88, -10*p + 60 = -2*r - 9*p for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -28.4282 to zero decimal places.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 217 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 3, -1 in descending order.\nAnswer: 3, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of c**3\/3 + c + 1. Let r(x) = x + 4. Let w be r(-4). Suppose -2 = 2*u + 2*d, w = -2*d - 3*d - 10. Give a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/(-6))\/((-3)\/24). Let p = 10.3 + -10. Which is the smallest value?  (a) p  (b) d  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = -3*s - 88850, -a - 2*s = 27118 - 4908. Let z = 11084 + a. Let o = -155889\/14 - z. What is the common denominator of 69\/2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -7*a + 3*a - 105, -a - 3*g - 15 = 0. What is the tens digit of 2*(4\/(-6) + (-9440)\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 (base 9) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xooq when four letters picked without replacement from {x: 9, q: 2, o: 5}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187930 is divided by 428?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add -4077962268201 and -0.5.\nAnswer: -4077962268201.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -2*f - 4 - 10, -2*f - 3*q - 9 = 0. Let a = 0 - 5. Let b(u) = -u - 3. Let z be b(a). Calculate the highest common factor of f and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, b: 2, x: 6}. What is prob of sequence xg?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/6)\/(18\/81). Suppose -20 = -2*c + 4*y, -4*y + 8*y = 3*c - 22. Suppose t - 6 = -m*d, -2*d + 7*d = c*t - 34. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -0.4  (b) -1\/7  (c) -1.1  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -7, -45, -107, -193?\n\"Answer: -12*v**2 - 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50 and 6 + -2 + 71 - (-5)\/1.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 821084 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -184 + 98. Let x = -85.32 - w. Is x at least 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b3 (base 15) in base 4?\nAnswer: -21222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-242)\/33)\/(18\/27)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003046 to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*g + 6 = 138 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*o + 66 = g, -5*o = -g + 14. Suppose 15 = p - g. Suppose -p = -4*l + 3*h - 4*h, 0 = 3*l - 2*h - 32. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 222587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 373670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -1125 > 50783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 0.2, -290?\nAnswer: -290","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 109 - 127 = -l, -4*c - 14 = l. Solve x = 6*x + l*b - 17, -5*b - 1 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6451.8 micrometers to meters.\nAnswer: 0.0064518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 980048746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 15093 and 626037?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60575*d = 60780*d + 8610 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the first derivative of 233*h**5\/5 + 25*h**2\/2 + 55. What is the second derivative of s(u) wrt u?\nAnswer: 2796*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 33866560?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.612 - -2. Let v = 0.4 - j. Let q = v - -0.0054. Round q to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 432655.65 hours to weeks.\nAnswer: 2575.33125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 30356773.6 rounded to the nearest 10000?\nAnswer: 30360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -42*x - 430. Calculate a(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3123469663 to 3 decimal places.\nAnswer: -0.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 875\/(-42) - (-2)\/4 and 51\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -614543 * -0.282\nAnswer: 173301.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 35\/1*80\/50. Suppose -38*o + z = -31*o. Solve -9*b = -5*b - o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 758945 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 76675 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(245)*-1 + sqrt(245))**2 + 5 + -5 - (sqrt(720) + sqrt(720)*3*3 - ((-1*sqrt(720) - sqrt(720)) + -3))**2.\nAnswer: -103680 - 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 927422 is divided by 46371.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -418 * -5740.\nAnswer: 2399320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -80, -10, 2 in descending order.\nAnswer: 2, -10, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z + 0*z - 5*z + (-1 + 1 + 2*z)*(0 - 1 + 0) + (2 - 2 + 2)*(16*z + 6*z - 2*z + (0*z - 2*z + 0*z)*(-1 + 2 - 2)))*(-3*z + 0*z + 5*z).\nAnswer: 82*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 30111 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -234*g + 222*g = -24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9221793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 511 = -2*c + 1463, 4*s - 2403 = -5*c. Suppose -f - 2*f = -3237. Let t = c - f. Round t to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 99, 92, 79, 60?\n\"Answer: -3*p**2 + 2*p + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12.88 + -15.080064. Let x = -2.2 - r. What is x rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or -43\/7?\nAnswer: -43\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 738aa5 (base 13) to base 8\nAnswer: 12241407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u**2 - 8*u - 8. Determine a(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*(-9)\/6)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3212 - 781?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 d, and 2 k when four letters picked without replacement from {d: 8, a: 2, l: 5, k: 3, v: 1}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 90*d + 184*d - d**3 - 79*d to the form n*d**3 + h + g*d**2 + t*d and give t.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l*p*s**3 + 143*l*p - 1107*l*s**3 - 2*l*s + 95*p*s**3 - 2*p*s**2 + 54*p*s + 2*p + 5*s**3 - 2 wrt s.\nAnswer: 6*l*p - 6642*l + 570*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 186912 - 186919. Let s = -26\/55 - -4\/55. What is the third smallest value in 3, c, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 180*f**3 - 33*f**2 + 102*f - 40. Let q = 256 - 222. Let h be g(q). What is h rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2812658.\nAnswer: 2, 277, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x - 2*p + 35 = -55, -x - 3*p = -25. Suppose 0 = 4*v - 2 + x. Let f(n) be the first derivative of n**3\/3 + 7*n**2\/2 + 5*n + 8. Give f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42)\/(-560)*-8*4\/(-42)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of ((-68)\/6)\/(4*(-7)\/1218)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 - 1 + 1)*(-2*t**2 - 9*t**2 - 2*t**2) - 16*t**4 + 3 - 3.\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -5, 19, 5, -0.07, -4, 2\/481, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1.9*-0.059\nAnswer: -0.1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 215571258 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 6:16 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1185*r**3 - 618*r**3 - 634*r**3.\nAnswer: -67*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -d + 3, 16*b = 20*b + 2*d - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 70 = 4*v + 48, -12 = -3*v for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 - 43*1*-2. Let v be d\/14 + 2\/(-7). Let c = 28 + -24. Solve 0 = -s + v - 4, -2*l - 5*s = -c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**3 - 6*y**3 - y**3)*(2*y + 1 - 1) + 10*y**4 - 37*y**4 - 14*y**4.\nAnswer: -47*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 14\/45 and -43\/400820.\nAnswer: 3607380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30 + -26. Let h = -1525 - -1529. Is l > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 785772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7056 and 8912?\nAnswer: 3930192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 4*k**2. Let d(s) = -175*s - 39*s - 50*s - 38*s + 57*s. Determine p(d(t)).\nAnswer: 240100*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -391 times -0.1041?\nAnswer: 40.7031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.229775 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j + 8 + 7. Suppose -j*r + 6 + 3 = -2*g, 0 = -4*g + 3*r - 9. Let l = -1 + 6. Sort l, -1\/4, g in decreasing order.\nAnswer: l, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*q**2 - 515837 + 1030327 - 514490.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -469 + 462. What is the closest to 1 in 14, -1\/24, t?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2880)\/6 - (-1 - (1 - 2)). Is (((-1)\/(-2))\/1)\/((-8)\/l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-11844)\/(-48))\/(-21) - -4*(-1 - -4). Find h such that h**4 - 3\/4*h + 0 + 1\/2*h**3 - h**2 + z*h**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11186, 43584, 97608, 173264, 270558?\nAnswer: 389496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 736.7166 rounded to one dp?\nAnswer: 736.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h - 35*h = -1200. Suppose h = 3*g - 2*b, -2*g + 0 + 42 = 3*b. What is the least common multiple of g and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 78 in descending order.\nAnswer: 78, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 + (-12)\/(-8) + -1)*4. Let p be (j - 93\/(-9))*12\/10. Let u be 1\/3 - (-239)\/3. What is the highest common divisor of u and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -100*g + 21619. Calculate q(216).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 206043?\nAnswer: 3, 173, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6*j**2 + 21*j - 9. Let y be z(-4). Solve 4*a = 3*a + y for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/(h*h**(-4)*h)))\/(h\/(h\/(h**6*h*h)*h))*((h**(-1)\/h)\/h)**36 assuming h is positive.\nAnswer: h**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1463890 is divided by 292777?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1450 = 27*s - 295*s - 3910 for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 44711730?\nAnswer: 44711730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(3600))\/(6*(sqrt(12) - (sqrt(48) + sqrt(12)))).\nAnswer: 5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 6 = 2*c - 24, 0 = -5*c + 4*y + 32. Calculate the smallest common multiple of c and 244.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 46.2 + -42. Let n = -1.9 - 2.1. Let j = s + n. Which is the closest to j?  (a) 4  (b) 2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7708 (base 13) in base 16?\nAnswer: -40ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 116111 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (-49 + -47 + 74)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -4\/7  (c) -57067  (d) -2  (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(198)*2 + sqrt(198))\/sqrt(11))\/(1*sqrt(600)))**2 + -1.\nAnswer: -73\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5 + (264\/(-10))\/(-3))*5. What is the greatest common factor of f and 646?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1784 - -1793. What is the remainder when 224 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 127, 710, 2299, 5398, 10511, 18142, 28795?\n\"Answer: 84*i**3 - i**2 - 2*i + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1150036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-52)\/39*(2 - (-11)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 575664 and 266928.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 243 is divided by 3 - (-12 + 2)*(-182)\/(-112)*8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4114 divided by 22.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of -2 + 0*a**6 + 0*a**2 + 32*a + 0*a**5 + 0*a**3 + 25\/42*a**7 + 67\/12*a**4. What is the third derivative of y(j) wrt j?\nAnswer: 1500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 80 + -53. Does 21 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5 = 4. Let l be z + (-2 - -2) - -1. Let c be 5\/3*(2 - -1). Solve l*k - c + 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(2*sqrt(504) - sqrt(504)) + sqrt(504) - (sqrt(504) - (2*sqrt(504) - sqrt(504)))*6)\/(3*(sqrt(512)*2 - sqrt(512))*-3).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 15500 by 4.\nAnswer: 3875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -311\/135 - 4\/135. Let c = -2 - b. Solve c + 2\/3*y + 1\/3*y**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 0.321, 407?\nAnswer: 407","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134574 is divided by 16808.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*-2*(-3)\/(-63). Let d(n) = -n**3 - 3*n**2 + 4. Let q be d(-3). What is the nearest to 2\/7 in -1, q, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 3, 2\/3, 5 in increasing order.\nAnswer: -1\/6, 2\/3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, d: 12, k: 2, v: 1, u: 3}. Give prob of picking 2 d.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 7*s - 2*s - 150, p - 59 = -2*s. Let h be ((-1)\/s)\/(2\/4). Let z = 20\/27 + h. Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-50)\/125 - (-82)\/5. Let n(u) = 232*u - 155. Is n(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(280) + sqrt(280)*-2)\/sqrt(5) + sqrt(56))\/(2*sqrt(56)\/sqrt(7))*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 + 15 - 8)*(-2*r + 0*r + r).\nAnswer: -13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -62951, -125866, -188793, -251738, -314707, -377706?\nAnswer: -440741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (-1)\/((-3)\/30). Let a be (-19)\/(-7) - (-8)\/28. Let c = s + a. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -120*k**2 - 35*k. Let b(x) = 10*x**2 + 3*x. Let n(m) = -35*b(m) - 3*v(m). Let g(i) = i**2 - 6*i**2 + 8*i**2 - 4*i**2. Give g(n(t)).\nAnswer: -100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wpe when three letters picked without replacement from euspw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-46)\/3)\/((-4)\/138) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 70182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y**4 + 3 - 3)*(-34*y + 8*y + 14*y) + (-30*y**3 + 5*y**3 + 6*y**3)*(-y**2 + 3*y**2 - 3*y**2) + (-3*y**2 + 0*y**2 + y**2)*(y**2 - y**2 - y**3).\nAnswer: 9*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5049 + 56 = -2945*m + 25720 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 23 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 165, 383, 749, 1263, 1925, 2735, 3693?\n\"Answer: 74*i**2 - 4*i + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-72))\/(8\/120).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 4*n - 2. Let z(x) = 11*x + 7*x**2 + 11 - 3*x**2 - n*x**2. What are the prime factors of z(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.01 + -0.09. Let h = 4.8 - 0.8. Which is the second smallest value?  (a) y  (b) h  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 658 - 653. Solve 0 = 4*w + t + x, 15 = 2*w - 5*t + 2*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -4*s - 9. Let o be f(-5). Suppose 0 = 5*n - o - 14. Suppose 0*m + 3\/4*m**3 - 1\/4*m**2 - 3\/4*m**4 + 1\/4*m**n + 0 = 0. What is m?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -23 - -53. What is the greatest common factor of 20 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -15.37 + 2.37. Let z = h + 12.9. Let q = 8 + -8.5. Which is the closest to z?  (a) q  (b) -1\/6  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9815100 to the nearest integer?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, c: 11, f: 3, o: 2}. Give prob of picking 2 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 10471649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*a + 12 = 97*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 10, k: 7, x: 1}. What is prob of picking 3 k and 1 l?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 279995344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6008552*f**2 - 3004274*f**2 - 3004280*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 250 + -250. Solve -10 = -j*w + 5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*k - 27*k - 36*k)*(4*k - 6*k + 4*k + (5*k - k - 2*k)*(-3 + 5 - 1) + 2*k + 0*k + 0*k + 0*k + 6*k - 4*k).\nAnswer: -352*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22 - -24334234202?\nAnswer: 24334234130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 108, 29, -1, -0.12, 0, 0.2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10 - 10. Let d = 0 + 4. Suppose p = -5*y - 20, d*y = 2*q - 15 - 21. What is the smallest common multiple of 2 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the third derivative of -s**5\/180 - s**4\/12 - 4*s**3\/9 - 4*s**2 - 25. Factor j(d).\nAnswer: -(d + 2)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66320628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 5445.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/3, -2\/13, -13\/6, -4, 8\/5, 4?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -116 divided by 29\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 11 = q + 6, 14 = 4*q + 6*f. Put 4\/7, 18, 2\/9, q, -0.03 in descending order.\nAnswer: 18, 4\/7, 2\/9, -0.03, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/(-2)*10\/(-5). Let o = -4 - l. Factor o - 3 + 3*k - 5*k**2 - 4*k**2.\nAnswer: -3*k*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -4*t**2 - 3*t + 4*t + 3*t**2 - 5 + 0. Suppose 7*b = 10*b + 9. Let m be 5\/15 + b\/9. What is u(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -12 + 6. Suppose -2*y = -8, 3*p + 3*y - 3 = 57. Suppose p = j - n. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2 and 1407343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 4. Let u = -0.4 - -0.5. Let t be (-5 + -7)\/(-60) - 8\/15. What is the nearest to t in 2\/3, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -41 or -1283?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 645 is divided by 28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**4 + 128*i**3 - 1908*i**2 - 4752*i + 6534.\nAnswer: -2*(i - 33)**2*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, 1, -6, -25, -62, -123?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 646*l - 39194 = -31819 + 39783 for l.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -2*n**3 + n + 1. Let t be 0 + (-39)\/6 + (-1)\/2. Let i(q) = 4*q**3 - 2*q - 3. Determine t*z(b) - 4*i(b).\nAnswer: -2*b**3 + b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1983846391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 5*g**2 - 3*g + 1. Let n(u) = -u**2 + u + 1. Let f = 3 - 0. Let l be n(f). Is j(l) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -29.1 - -5.1. Let g = -14 - a. Let s = g + -10. What is the closest to 1\/4 in 4, -0.3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 93 - 33 - 26 - 34 - 7506*f in the form m + n*f and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -38 - -42. Let g be 4\/6 - x\/(-3) - 37202. What is g rounded to the nearest 1000?\nAnswer: -37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-18)\/21)\/(5\/28). Let u = -26\/5 - j. Sort u, -0.2, -4 in decreasing order.\nAnswer: -0.2, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 6 = 38*p - 35*p, 2*o - 10 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) 22\/9  (c) -0.1  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 4*y**2 - 15*y - 9. Suppose 37*t - 220 = -72. Calculate p(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53 - -41. Let y = 14 + s. What is the tens digit of ((-597)\/(-12) - 3) + y\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*d**4*u - 877*d**3*u**2 + 8*d**2*u**2 + 87*d**2 wrt d.\nAnswer: 96*d*u - 5262*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 5:04 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2023 and -7.\nAnswer: -14161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*9 - 0\/3. Let o be -2*c\/6 - 3. Differentiate -2 - 2 + 3*q**4 + o wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w = 111*w + 1185 + 1527 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/(-9))\/((-2)\/6). Let k(o) be the third derivative of 0*o - 227*o**2 - 1\/30*o**5 + 0 + 1\/12*o**4 - 1\/3*o**3. Calculate k(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 789316674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 9 - 0. Let v = -40 - -40. Let s = 173 - 175. Put v, q, 2, s in descending order.\nAnswer: q, 2, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -2, 4167768 in ascending order.\nAnswer: -2, 11, 4167768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3465 by 9866.\nAnswer: -3465\/9866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 145 = -2*j, -5*h + j - 160 = -0*h. Let x(o) = -4*o**2 + 5. Let u be x(4). Let c = h - u. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**2 - 8. Let s(d) = 9*d. Determine s(g(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 25910 or 233203\/9?\nAnswer: 233203\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1156*d**4 - 1 - 1588*d**4 + 2)*(-1 + 0 - 1).\nAnswer: 5488*d**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**4 + 236*s**3 - 5206*s**2.\nAnswer: 2*s**2*(s - 19)*(s + 137)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2490198.\nAnswer: 2, 3, 181, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - 3*w + 6, 4*l - l = -5*w + 10. Let b be (1 - 0)\/((-14)\/(-10)). Are b and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25897755 to the power of 1\/2, to the nearest integer?\nAnswer: 5089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 7, j: 2, g: 1}. Give prob of sequence gh.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -148 + 1?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 596707591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + 5d0?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t**(-12)*t)\/(t\/(t**(1\/5)\/t)))\/(t*t*t**(-17))**(-11))**(-4) assuming t is positive.\nAnswer: t**(3556\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 32202432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 + 10*g**2 - 2*g - 2. Let f(w) = -w**2 + 3*w. Suppose -4*p + 10 = -10. Let x be f(p). What is the units digit of b(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1946 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 40730.00026607 - 40730. Round o to 6 decimal places.\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.29  (b) 0.4  (c) -1262.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3963 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, t: 1, r: 1, z: 2}. Give prob of sequence tr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, u: 14, v: 5}. What is prob of sequence muu?\nAnswer: 91\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-13)\/(39\/(-6)) - 2*1. Sort p, -1, 1 in decreasing order.\nAnswer: 1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102201 (base 3) to base 7.\nAnswer: -631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**2 + 41*z + 1. Is l(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 14347140, 28694285, 43041430?\n\"Answer: 14347145*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 4*g = -2709, 4*d + 4*g = -0*d + 3640. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -49*g - 109. Calculate w(-4).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(36\/20 - 3). Let m = 12 + v. Let k(g) = -7*g - 8. Let s(r) = -6*r - 7. Let n(l) = m*s(l) - 5*k(l). What is the first derivative of n(t) wrt t?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3272 or 233203?\nAnswer: 233203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 108 - 23. Suppose 0 = -m + z + 3. What is the greatest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2646*f**3 - 2806*f**3 + 5559*f**3 - f + 6*f**4 - 2*f**2 to o*f**4 + h*f**3 + v*f**2 + u + k*f and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -513.49346 rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ctccsdtc. What is prob of picking 1 c and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -561*t**2 - 85*t. Let p(z) = 20*z**2 + 3*z. Give -3*a(o) - 85*p(o).\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 253 + 257 = 0. Put 495, v, 0 in increasing order.\nAnswer: v, 0, 495","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 12:37 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 + 42*v - 71. Let g be i(-23). Suppose 20*w - 3*x = g*w - 6142, -5*x + 12279 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10030837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5 + 1. Let k(g) = g**3 - 6*g**2 - g + 8. Let n be k(o). Suppose u - 15 = -n*t, -5*u = -2*u + 5*t - 43. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*w + w - f + 486, 2*f = -w + 90. Let u = -290\/3 + w. What is the common denominator of u and 85\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 6*k + 4*a = -54, -9 = 3*a. Let l be 6720004\/k + (-2)\/7. Suppose 0*u - l = -u. Round u to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/7, -0.2, -418, -1, 0.1?\nAnswer: -418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6200 - 6199.1. What is the biggest value in k, 6\/11, -0.02?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.182 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-9)\/4 + (-4)\/(-16). Let q = 2 - d. Suppose -q = -5*j + 46. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12858 is divided by 338.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the first derivative of 19*g**6\/6 + g**3\/3 - 5*g**2\/2 - 18*g - 67. Find the second derivative of t(a) wrt a.\nAnswer: 380*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1022397227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(2*sqrt(13) + -1 - sqrt(13)) + 4.\nAnswer: 3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - 3\/(-6))*20. Let k be v\/5 - (-48)\/(-22). Which is the closest to -1?  (a) -5  (b) k  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-30)\/25)\/(14\/1645). Is 88 a factor of (a\/(-6))\/((-3)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**2 + 68346*w - 1167793929 = 0. What is w?\nAnswer: 34173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5645 + -5545. Which is the third biggest value?  (a) 3\/2  (b) 0.2  (c) -1  (d) s  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0229 + -202.0229. Let c = l + 201.9909. What is c rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1723, 3244, 4763, 6280, 7795, 9308?\nAnswer: 10819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/3417 and 31\/2533.\nAnswer: 509133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-g + g + g**2)*(-6*g**2 + 3*g**2 + 4*g**2)*(-11 + 1 - 4) + 6*g**4 - 4*g**4 + 0*g**4 in the form z*g**2 + b*g**3 + p + h*g + c*g**4 and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -50, -80, -114, -146, -170?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 283179 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -3*v - 2*v + 6 - 3*v - 4 + v**2. Suppose -y = -16*c + 15*c + 5, 3*y - 57 = -5*c. Calculate the remainder when 30 is divided by l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -a**2 + 3*a - 3*a + (-5 + 5 + a)*(-2*a - a + 2*a) + 9*a**2 - 3*a**2 + 8*a**2 + 0*a**2 + 2*a**2 + 5*a**2 to the form z + j*a + x*a**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 16, 0.016, -4\/401?\nAnswer: -4\/401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -419 - 607 + 2*k - 213 - 302.\nAnswer: 2*k - 1541","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -689 + 342. Let l = 346.999752 + u. Round l to 5 dps.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 17 = r. Is -16 less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 72e12 (base 16) in base 15?\nAnswer: 9464b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*l**2 - 4*l + 0*l - 24*l**2.\nAnswer: -2*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (7 + -5)\/((-5235)\/1310 + 4) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 246069470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 9 = 2*u. Suppose -a + 21 = -4*a. Let g be (0 - a)*-1 - -3. Put u, 5, g in decreasing order.\nAnswer: 5, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6 + -2 - (-78 + 66)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 l when two letters picked without replacement from {l: 2, i: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p**2 + 6*p + 1. Let j be c(-3). What is the derivative of 25*y + 8*y - 7 - j - 9*y wrt y?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 23848 and 280.\nAnswer: 834680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5263 - -5266. Let y(b) = -b**3 - 2*b**2 + 3*b - 3. Suppose -3*u + 4 = -4*u. Let j be y(u). Solve -2*l + 6 = 0, -7 - j = s*c - 3*l for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 39*i**2 - 3*i**3 + 89*i - 242*i + 1 + 188.\nAnswer: -3*(i - 7)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((3 + (sqrt(300) - (sqrt(300) + -3))**2 - sqrt(300)) + sqrt(300) + -6*(sqrt(300) + 0 - sqrt(300))**2 - ((4*(sqrt(300) + -1) - sqrt(300)) + -1)*3).\nAnswer: -108 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -70*m**4\/3 + 18*m**3 - 3*m**2 - 2*m + 768. What is the second derivative of x(q) wrt q?\nAnswer: -560","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 29\/3 + (-2)\/(-6). Let c = u - -6. Let m = c + -1. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + (8 - (3 + 12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10111010 + 11?\nAnswer: 10111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - q = 15. Suppose -q*d = -7*d + 10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 9 + 11 + -14.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is b7 (base 16) in base 8?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tin when three letters picked without replacement from {a: 3, t: 1, b: 4, i: 2, n: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n - 161963 + 10088. Let k be (-3 - -35)*n\/6. What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = -6 + 2. Let n(c) be the first derivative of 3*c**2 + 8. Calculate n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -833 + 832. Sort a, 4, 2, -1\/9 in descending order.\nAnswer: 4, 2, -1\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1171 + 1687. What are the prime factors of i?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.065346 and -0.3.\nAnswer: 0.6196038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 - 2*m**3 + 2*m**2)*(m**2 - 5*m + 5*m) - 2*m**5 + 4*m**5 + 0*m**5 - m**5 + m**5 - m**5 + (-1 - 2 + 1)*(2*m**2 - 2*m**2 + m**5).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1450 is divided by 1438.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 66, 148, 248, 366?\n\"Answer: 9*c**2 + 55*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 124 - 127. Calculate the lowest common multiple of 6 and ((6 + 27)*2\/a)\/(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-1 + sqrt(1088) + (sqrt(1088) + 2 + 0)**2 + sqrt(1088) - ((sqrt(1088) + -1)*-1 + -1)**2).\nAnswer: 18 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the second derivative of -2*q**6 + 19*q**5\/4 - 5*q**4\/6 - 25*q**3\/6 + 2*q + 364. Factor y(n).\nAnswer: -5*n*(n - 1)**2*(12*n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0066 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -10 + -7 - (4 - 7 - (-2 - 1))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q**3 - q**2 - 5*q + 5. Determine h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -311*p - 278 = 810 - 5131. Solve -8*h - m = p, -3*h - 7 = -m - 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1710 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1242*m + 9905*m + 717*m + 10745*m.\nAnswer: 20125*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55789582?\nAnswer: 2, 23, 1212817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that 2*w**4\/11 - 16*w**3\/11 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -7*h**2 - 371*h - 3668. Determine d(-13).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9377661l to millilitres.\nAnswer: 937.7661","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 209\/38*(2 - (-42)\/(-22)). Sort h, 0.3, 0.156, 0.1 in descending order.\nAnswer: h, 0.3, 0.156, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -y**5\/120 + 5*y**4\/24 - 7*y**3\/3 + 8. Let x(a) be the third derivative of g(a). What is x(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 3*x + 23. Let s be w(-6). Let j be 2\/(-4) - (-40)\/16. Solve k = s*t - 19, 4*t - 26 = 5*k + j*t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*p + 17*p + 14*p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.3 and -0.16358.\nAnswer: 0.13642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4)\/(-10) - (-563)\/5. Suppose -43 = -3*v + f. Suppose -57*y + v*y + 20 = 0. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(1700) + -2 + 1 + sqrt(1700)) + (sqrt(1700)*-2 + 0 + -3)**2 + 4.\nAnswer: 220*sqrt(17) + 6808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**2 + 28*p - 90. Determine u(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 1\/3, 96\/23, 1, -34, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -42*m - m**4 - 6*m**2 + 27*m - 3*m**2 - 9*m**3 + 7*m**2 to the form s*m + z*m**3 + o*m**2 + j + w*m**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8570.425ml?\nAnswer: 8.570425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -4*p**3\/3 - 350*p**2 - 1384*p - 7147. Factor g(l).\nAnswer: -4*(l + 2)*(l + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*f**3\/5 - 26*f**2 + 272*f\/5 + 608\/5 = 0 for f.\nAnswer: -4\/3, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - 2*j - 13. Suppose -5*y = 2*s - 35, -2*y + 82 - j = 3*s. Suppose -m - 5 = 4*x - s, -5*x + 3*m = -42. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 27*b**2 - 25 + 62*b**3 + 58*b**3 + 0*b - 29*b - 119*b**3. Let w be o(-28). Solve -q + w*n - 8 = 0, q - 5 = -3*n + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = c**3 - 3*c**2 + c + 1. Let s be q(2). Let i(w) = -3*w - 2. Let m(x) = x. Let p(j) = j**3 - 10*j**2 + 8*j + 7. Let l be p(9). What is l*m(o) + s*i(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 940 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 82 + -47. Let p = -32 + q. Differentiate -58*i**p + 2 - 11*i**4 + 58*i**3 with respect to i.\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and 120.65.\nAnswer: -361.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (180\/(-14))\/(50\/(-840)). Solve 50*x - h - 34 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157500 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3.8 + -1.2. Let z = u + 5.3. Let h = -1638\/11 - -149. Which is the third smallest value?  (a) z  (b) h  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 19954, -1, -2, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 163 by -3.\nAnswer: -163\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -30, -131, -290, -495, -734, -995?\n\"Answer: 2*t**3 - 41*t**2 + 8*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 30577 + -30573. Solve 4*h = x + 13, h + 0*h = t for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -160260*m*n**3 + 2*m*n**2 + 13*m*n - 5*n**3 + 13*n**2 - 365*n - 8 wrt m.\nAnswer: -160260*n**3 + 2*n**2 + 13*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*a*n**3 + 31*a*n + 325*n**3 + 5*n**2 - 3 wrt n?\nAnswer: -12*a + 1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989144847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 178707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -150 + 1020*w**3 + 35*w**5 + 145*w + 20*w**2 + 340*w**4 + 506*w**2 + 484*w**2 = 0. Calculate w.\nAnswer: -5, -3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 37 and 2017462.\nAnswer: 2017462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13718, 13733, 13748, 13763, 13778?\nAnswer: 13793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + d + 5 = 3*m, -m = -2*d - 10. Suppose -9*p + 11*p - 54 = m. What is the greatest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 7*p**2 - 3*p - 8. Let r be t(-7). Suppose -q - 21 = -3*d, 6 = -d - 5*q + r. Let k(m) = 2*m**3 - 6*m**2 - 9*m + 2. Is k(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(468) + 6*2*sqrt(468))*5)**2*6 + 2.\nAnswer: 11863802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -509*q**4\/4 - 4*q**3 + 5*q**2 + q - 6. Let x be r(-9). What is x rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 731343887602.4 - 10?\nAnswer: 731343887592.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 95812233 to the nearest integer?\nAnswer: 9788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-99)*3 + 0. Let k = 59 - 85. Let s = -22 - k. Which is the second smallest value?  (a) 3  (b) s  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1707590071 to the power of 1\/2, to the nearest integer?\nAnswer: 41323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vtlmvvdmludldld. Give prob of sequence tdl.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-14)\/4)\/((-8400)\/900).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 350 - -1.864?\nAnswer: 351.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 70.2 - 70. Let d = 0.3 - 0.7. What is the closest to 0 in b, 4, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -2*l - p - 21, -5*p - 50 = 5*l. Let g = l - -9. What are the prime factors of -13*(-4*1 - g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z + 3*z. Calculate the remainder when (26 - 4) + z\/(-1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x - 3*x = -24. Let c(n) = 5*n**2 + 11*n + 10. Let q(y) = -y**2 - y - 1. Let r(z) = x*q(z) - c(z). Let f be r(6). Which is smaller: f or 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from buuuuuueuuuuu.\nAnswer: 11\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 108286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 3*g + 7. Let y be 92\/(-5)*45\/(-18). Let t(q) = -86*q + 44*q + 8 + y*q. What is -6*c(b) + 5*t(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s*s*(s\/(s*s**0))\/s)\/s)**(2\/7))**(-2\/5)*(s\/s**(-3\/7))\/s*(s*s\/s**(-2\/7))\/s*s\/((s\/(s*s**(2\/17)))\/s)*s*s**3\/s assuming s is positive.\nAnswer: s**(571\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (5\/(-4))\/(2\/16 - (-2806)\/(-1840)) and -57\/112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 + i + 24. Determine n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 (base 5) in base 9?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301028146?\nAnswer: 2, 17, 223, 39703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 32*z**2 + 9*z - 4. What is the remainder when p(4) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z = -8*r - 211 - 455, 5*z - 2*z + 3*r = -258 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -11*r**2 + r. Let k be c(1). Is 20 a factor of k*(0 - (-6)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*a**2 + 2*a**3 - 441*a**4 + 887*a**4 - 1 - 467*a**4 in the form o*a**2 + d*a**3 + r*a**4 + z + s*a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*p + 43*p - 2. Let n = -13\/20 + 9\/10. Put n, 1\/2, p, 0.3 in decreasing order.\nAnswer: p, 1\/2, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange c + 0*c**4 + 2*c**4 - 3*c**2 + 4*c**2 - 3*c**3 to h*c + o + x*c**4 + v*c**3 + a*c**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -25*k + 153. Let g be t(-6). Suppose 285 = s - 4*b, -7*b - g = -s - 9*b. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {e: 5, x: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) -2  (c) 5\/4  (d) 2\/15  (e) 0.2  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1782 + 1751 = -5*i, i = 2*p + 8. Let a = 141 + -75. Calculate the highest common factor of i and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.186476 to 1 decimal place.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -78, -0.1, 2\/147, 1\/28 in ascending order.\nAnswer: -78, -0.1, 2\/147, 1\/28, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16238*a = 16246*a - 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 27 - 28. Let p(g) = -12*g - 1. Let o be p(k). What is the greatest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 459125 to the nearest integer?\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17.293332 milliseconds?\nAnswer: 0.0002882222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wbwwjwwwwwwwwww. What is prob of sequence wj?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -4*y**2 - 6*y - 6. Suppose 0 = -9*i + 11*i - 12. Let r(m) = 11*m**2 + 17*m + 17. Let q(l) = i*r(l) + 17*h(l). Let k(c) = -2*c**2. Give k(q(t)).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*0\/(2\/((-4)\/2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d - 3629 = -5*f - 7*d, -4*f = d - 2903. Calculate the least common multiple of f and 18.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156007 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c\/(c*c*(c\/(c**(-36)*c))\/c))\/c*c*c**(-24))\/(c\/(c**(-23)*c))**(2\/115) assuming c is positive.\nAnswer: c**(-297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5728793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 18+65626948858\nAnswer: 65626948876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -w**4\/4 - 7*w**3\/2 - 61*w**2\/4 - 21*w - 9 = 0. What is w?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4070 and 1381580.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.587 times 344270?\nAnswer: 202086.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3788 + -3788. Which is the third biggest value?  (a) t  (b) 1.9  (c) 0.07  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4119072 and 3208?\nAnswer: 4119072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 956 = -5*a - 3*a + 1228 for a.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 747*p**3\/5 - 29904*p**2\/5 + 26313*p = 0. Calculate p.\nAnswer: 0, 1253\/249, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 5:00 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*c - 489 + 489 + (-2*c + 3*c - 3*c)*(-1 - 2 + 2))*(-19 + 57 + 2 + 74 + 3).\nAnswer: -1053*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 4*m**3 + 3*m**3 - 1 - 2*m**2 - 4*m**3 - m**3. Find the second derivative of q(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -28 + 30 + -1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m - 13*h = -5*m + 17*m - 245, -2*h = 9*m - 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 41843996, 41844011, 41844042, 41844095, 41844176, 41844291, 41844446?\n\"Answer: g**3 + 2*g**2 + 2*g + 41843991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 803801.2 millilitres in litres?\nAnswer: 803.8012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 4:31 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -10081009 plus 0.3?\nAnswer: -10081008.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = d. Suppose 0 = -3*r + 4*w + 10, 0*r - r + 3*w + 5 = d. What is the units digit of (26\/(-4))\/((-1)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ajjaauaujaauuaazazza. What is prob of sequence zaza?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 2*f = -2, f = 2*z - 3*z - 2. Let o be 1 - (-1)\/(z\/2). Suppose -1 = -h, -42 = -3*a + 6*h - o*h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 118*d + 87*d + 153*d + 81*d - 360*d.\nAnswer: 79*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 2*h - 4*h - 85, -3*m - h = -62. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 151 and 65383?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z = -4*v + 48, 0 = -8*z - 5960 + 5888 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -575*t + 24145. Give h(42).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 146.697 hours?\nAnswer: 6.112375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 21\/827422 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 + 2*k**2 + 2*k**2 + k**3 - 1 as p*k**2 + t*k**3 + j*k + b and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-52 + 6*f + 52)*(4*f + 2*f - 4*f)*(-3 - 1 - 1) in the form n*f + m + d*f**2 and give d.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, 15\/136, 5.1 in descending order.\nAnswer: 5.1, 15\/136, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 11\/29, 13, -0.1, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 1276.\nAnswer: 382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27535.\nAnswer: 5, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: ((-42)\/3*21\/56*-4)\/6\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2150 divided by -25.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p**3 - 6*p**2 + 4*p + 5. Let y be v(5). Let u be (-39)\/((-653562)\/(-83714)) - (-3 - (-2)\/(-1)). Which is smaller: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 741 + -730. Suppose -x*c + 147 = 38*c. Solve -4*j + 20 = 0, 0 = -2*k + c*k + 3*j - 17 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 278226260?\nAnswer: 2, 5, 13, 587, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 255\/25*1480\/444?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide ((-35)\/7)\/((-10)\/4) - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (88\/40 - 1)\/(4\/170). Suppose 3*q + c - 204 = -d, -2*c - 6 = 0. Is 13 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102746821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 15\/(-55)*(-462)\/63. Solve 4*j + 4 = r*a + 26, -a + 17 = 5*j for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 5, m: 9}. Give prob of sequence mwmm.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - 2*z + 5. Let k be l(0). Suppose -4*t - 5*v + 249 + 11 = 0, -5*t + 325 = -3*v. Calculate the greatest common factor of t and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5047\/9465 - 42\/631. Let g(b) be the second derivative of -1\/50*b**5 + y*b**3 + 0*b**4 - 31*b + 0 + 6\/5*b**2. Factor g(a).\nAnswer: -2*(a - 3)*(a + 1)*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -6*d. Let w be (13 - 2) + -1*11. Let o(a) be the first derivative of 6 + 1\/2*a**2 + w*a. Calculate s(o(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**3 + 74*x**2 + 460*x - 59. Give d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -143*((-112359)\/(-1419) - 79).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -368 > -367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35, -37, -53, -89, -151, -245?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 232416 and 2672784?\nAnswer: 5345568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(112) + -4 + (sqrt(7) - (-1 + sqrt(448))))**2*1 + ((sqrt(56) + sqrt(168)\/sqrt(3))\/sqrt(2))\/(2*sqrt(16)).\nAnswer: 37*sqrt(7)\/2 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*m**2 + 3*m**2 - m**2)*(-m + 2*m + 0*m) + 3*m**3 - 2*m**3 + 3*m**3 + 3*m**3 + 42*m**3 - 13*m**3 to the form d*m**2 + c + u*m**3 + x*m and give u.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 6. Suppose n - 12 = -3*h, n + 6 = 3*h - l*h. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*l - 14*l - 2*i = -119556, 2*l + 4*i = 79696. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 0 - 1)*(2*v - 2 - 3*v + 1) + (4 - 2 - 1)*(0*v + 3*v - 2*v))*(-7026*v**4 + 650*v**4 - 5547*v**4).\nAnswer: -35769*v**5 - 23846*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-2*sqrt(684) + sqrt(684).\nAnswer: -54*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**2 + 12*g - 14. What is w(10)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 2*x + 3*x. Suppose 0 = 5*i + 3*p - 0*p + 5, -4*i - 5*p - x = 0. Let k = -7909.8 - -7910. Which is the nearest to i?  (a) -0.5  (b) k  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 170280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**2 - x + 1. Let z(u) be the first derivative of u**4\/6 - u**2\/2 + 32*u + 11. Let a(s) be the first derivative of z(s). Determine -a(b) + o(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -4*o**2 + o + 230. Give h(15).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/414 and -131\/198?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 + -22. Suppose a = 2*j - 62 + 22. Suppose 3*b - 2*p + 35 = -2*b, 0 = -5*b - p - j. What is the closest to -0.1 in 2, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 - (15 + (-4 - 17)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -344003 + 324?\nAnswer: -343124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 3 - 3*x - 5 + 10*x.\nAnswer: 7*x + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 - 20. Let d = -10 - r. Let t = 46 + -46.1. What is the third biggest value in d, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 - -84. Suppose 80 = 3*t - s. Suppose 2*y = 5*y - t. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 4) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 514 minutes before 5:00 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) 0.2  (c) -0.3  (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -5 - a + a + 5*a - 3*a**2. Let s(n) = -5*n - 2*n**3 - 1 - 4*n**2 + 3*n**3 - 1. Let y be s(5). Let f(q) = -q**2 + 2*q - 2. Give y*j(r) + 5*f(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 737.6946 nanoseconds?\nAnswer: 0.0007376946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(2*-2))\/((-18)\/((-9000)\/(-25)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**2 + 0*u**2 - 3*u**2. Let r(b) = 11*b**2 - 24*b + 8. Let m(c) = -4*c**2 + 9*c - 3. Let g(t) = -8*m(t) - 3*r(t). Determine -4*g(w) + j(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -f + 2. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1015 and 19775?\nAnswer: 573475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -17 + -170a?\nAnswer: -1726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 16*n**2 - 31*n**2 + 50 - 18 + 17*n**2 + 126. Let l(x) = -x**2. Calculate h(l(q)).\nAnswer: 2*q**4 + 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 12286 divided by 2\nAnswer: 6143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) - (2 + (sqrt(475) - (sqrt(475)*1)**2 - sqrt(475))) - (-3 + (2*sqrt(475))**2)) + -2.\nAnswer: -1426 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from uqhtzzh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 26*u + 40 wrt u.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from uxwllwonn?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4660 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j - 3*j - 16 = 0. Let n(p) = p**3 - 4*p**2 + 3*p - 5. What are the prime factors of n(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:42 AM and 7:55 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1480 and 20.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1188 and 1188?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 4 = 0, s - 7*f = -2*f + 3824. Suppose -s = -2*o + m, -4*m + 9515 = -0*o + 5*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -125000*r. Let l be (-1 + 1)\/(-3 + 4). Suppose h - 5*g + 31 = l, -3*g = -2*h - 2*h - 39. Let v be x(h). Round v to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 - 5*k + 4. Let n(a) = a**2 + 6*a - 5. Let v be n(-6). Let s be t(v). Determine f so that 6*f**5 - 2*f**5 - f**5 + 3*f**s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-594)\/(-605) + 4\/(-22).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**4\/6 + 59*u**3 - 172*u**2\/3 - 531*u + 1059\/2 = 0.\nAnswer: -3, 1, 3, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -5*v - 4*u, 2*u = -3*v + 15 + 10. Suppose 5*r - v = 4. Suppose r*h + 59 = f, 0 = 3*f + 4*h - 3*h - 147. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -4*h**2 + 11*h - 17. Let q = 572 + -148. Let o = q + -411. Let k(b) = 2*b**2 - 5*b + 8. Give o*k(t) + 6*p(t).\nAnswer: 2*t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ksss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3480033 is divided by 29491?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 1886328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the third derivative of 0 + 0*i**3 + 1\/66*i**4 + i**2 + 0*i - 1\/330*i**5. Factor y(q).\nAnswer: -2*q*(q - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) -3\/11  (b) -3\/5  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -c**5 + 3*c**5 - c**3 - c**3 - 2*c**5 + 6*c**5 - 2*c**5 + (c**2 - 8*c**2 + 0*c**2)*(4*c**2 + c**3 - 4*c**2).\nAnswer: -3*c**5 - 2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 62 = -184. Let h = 57 + j. Which is smaller: h or -7\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 14*f - 30. Suppose 19*i + 104 = 21*i. Let d be i\/12 - -2 - 8\/(-12). Let z be m(d). What is the highest common divisor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 5, -8541 in descending order.\nAnswer: 5, -3, -5, -8541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 63 and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 8*o - 680. Suppose -q + o = 3*q. What are the prime factors of 3 - 1\/((-2)\/q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*u = -112*u - 403532. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of j**11\/55440 + j**10\/16800 - j**8\/6720 - j**5\/10 + 4*j**2. Let i(a) be the third derivative of t(a). Factor i(c).\nAnswer: 3*c**2*(c + 1)**2*(2*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -251, -503, -755?\nAnswer: -1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 4:42 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/1 + 4)\/2. Let i(u) = 9*u - 1. Determine i(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 2, f: 8, o: 6, x: 1, z: 1}. What is prob of sequence zfof?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1832820583.\nAnswer: 11, 1021, 163193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-3553)\/(-561)*8\/1862)\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(12 - 152\/16). Which is the smallest value?  (a) r  (b) -3\/4  (c) -2  (d) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -133\/4151190 and -61\/12.\nAnswer: 8302380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 801339413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2438992698?\nAnswer: 2, 3, 331, 769, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the third derivative of 0*o + 5*o**2 + 5\/3*o**3 + 0 - 7\/12*o**4. Find the first derivative of q(h) wrt h.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 + -3. Suppose 3*m + 4 = m, 0 = -5*d - s*m + 262. What is the remainder when d is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 124*p - 2876 = 5041 + 9977 - 4006 for p.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 10) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/4 + (-12114)\/88. Let o = r + 26437\/198. What is the common denominator of o and 73\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, g: 4, d: 2}. What is prob of sequence dd?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*r + 266 - 182 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 4*m**2. Let k(g) = g**2. Let d(o) = o**3 + 4*o**2 - 5*o - 5. Let i be d(-5). Let p(b) = -2*b**2. Let v(c) = i*k(c) - 3*p(c). Determine w(v(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(847) + 0 - (sqrt(14)\/(2*sqrt(2)) + -3 + sqrt(7)*1) - (sqrt(70) + 4*sqrt(70)*-1 + sqrt(70))\/(sqrt(30)\/(sqrt(12)\/sqrt(4))))**2.\nAnswer: 184*sqrt(7) + 3959\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-6)\/4*(-8)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/10 - (-3560817)\/(-130)*2\/(-6)?\nAnswer: 2, 5, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 + f. Let q(b) = b**2 + 7*b - 1. Let n(r) = q(r) - 5*z(r). Determine n(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 5*i - 3*i = 10, -2*l = i - 5. Let f(g) be the first derivative of g**2 - 1\/3*g**3 + l*g - 2. What is f(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -31*z**2 + 2*z + 16. Let n(t) = -3132*t**2 + 203*t + 1624. Let y(p) = 609*g(p) - 6*n(p). Let a(q) = q**2. Determine y(a(b)).\nAnswer: -87*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(4\/5))**(1\/7) assuming i is positive.\nAnswer: i**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*w - 58*w + 32*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 62 + -59. Suppose -t*l - 4*d = 3, 2*l - d = 6*l + 4. Let k = 1\/50 + 87\/650. Which is the nearest to -1?  (a) -0.1  (b) k  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4\/855105 and -1\/545.\nAnswer: 855105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*g - 5227 = -9749 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 599197707 to the power of 1\/2, to the nearest integer?\nAnswer: 24479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -98 + 101. Determine v so that 1\/3*v**t + 0 + 1\/3*v**2 - 1\/3*v**5 - 1\/3*v**4 + 0*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12369)\/(-456) - (-1 + 28).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4941 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 1 - 5. Let v be (0 - -8)\/(1\/z). What is the highest common divisor of 2 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 26*x + 55. Let d be r(24). Solve -16 = -2*j + 5*l, l + d = -5*j - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -395500 = 6304*a + 203380 for a.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13066 divided by -278.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of p**4\/4 - 20*p**3\/3 + 38*p**2 + 52*p + 46. List the prime factors of s(20).\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 57123 and 3821471?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 129\/27 - 6\/(-27). Suppose w = -a + 16. Calculate the highest common factor of w and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100022100221102110 + 12?\nAnswer: 100022100221102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 287 + -204. Let o = r - 80. Solve -o*u = c - 3*c - 18, u = 3*c + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (118*b - 47*b - 228*b - 208*b)*(-3*b**2 + 6*b**2 - b**2).\nAnswer: -730*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36987, -36975, -36941, -36873, -36759?\nAnswer: -36587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -3  (b) -1  (c) 74  (d) 0  (e) -26583\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 101010021102011 + 0?\nAnswer: 101010021102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**17\/a*a)\/a)**(-9\/4)\/(a*a*a\/(a\/a**(-40))*a*a*a*a\/(a*a**(1\/17))*a) assuming a is positive.\nAnswer: a**(-33\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28*(-9)\/(54\/(-12)) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 7 - 58*r**3 - 2 + 62*r**3 wrt r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 3*f**3 - f + 1. Let t be y(1). Let b = t + 2. Solve 0 = -3*m + b*m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + (-6)\/10)*1. Suppose 23*r + 35697 = 35674. Is r != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 1 - n**3 - n**3 + 3 + n**3 - 3*n**2. Let l be w(-3). Is (-1)\/l + (-195)\/(-12) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/q**(3\/5)))**(5\/21)*(q**(-3))**(-4\/9) assuming q is positive.\nAnswer: q**(31\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -54*k - 59. Suppose 0 = -4*i + 4*p - 56, p + p - 55 = 5*i. Is f(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**3 + 2904*k**2 + 5796*k + 2896 = 0. Calculate k.\nAnswer: -724, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 30.5 - 29. Let p = z - 5.5. Put -6, -3, 4\/7, p in decreasing order.\nAnswer: 4\/7, -3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*z + 24*z - 32. Let p be z\/(-12)*(-51)\/(-2). Suppose p*r - 22 = 15*r. Calculate the highest common factor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 89764*v**3 + v**2 - 107*v + 532615470 wrt v.\nAnswer: 269292*v**2 + 2*v - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(1700)*-2 - sqrt(1700))*-3 + -4 + 4)*-6)**2.\nAnswer: 13770000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 - 5*g. Let f be v(-5). What is the closest to f in -5, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 4, 1, -1, -2, 34 in increasing order.\nAnswer: -36, -2, -1, 1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -19*u**6 + 0*u**4 + 0*u**3 + 0*u**5 + 56 - 3*u + 21\/2*u**2. Find the second derivative of r(s) wrt s.\nAnswer: -2280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + ((sqrt(684) - sqrt(19))*4 - sqrt(931)*-4))**2.\nAnswer: 96*sqrt(19) + 43777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 71*h + 14 - 5 + 65*h. Is t(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -129122, -129116, -129110, -129104, -129098?\nAnswer: -129092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 2*q + 3*o + 39, -5*q = 2*o - 178. Calculate the smallest common multiple of q and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -268 - 265 = 6*l - 6*l + 13*l for l.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -208, -980, -2258, -4036, -6308, -9068, -12310, -16028?\n\"Answer: v**3 - 259*v**2 - 2*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/x**(-2\/7)))**(-3\/22))**(2\/83)*((x**1)**(-2\/27))**(10\/7) assuming x is positive.\nAnswer: x**(-18098\/172557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 284*c**3*l*v + 3*c**3*v - 82*c**3 + 15*c*l*v - c*v wrt l.\nAnswer: 284*c**3*v + 15*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 6*n - 14. Let y(p) = -2 + 11*p + 2 - 4. Does 20 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to 1\/10517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/(-1 + 2) - 3. Is 68 - (-4 - -3 - p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/6090 and 121\/91350.\nAnswer: 91350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*f**3 + f**3 - 4*f**3)*(3 - 3 + 1) + 14*f**3 + 0*f**2 + 0*f**2 - 2*f**3 + f**3 + 0*f**3 + (f - f + 2*f)*(-f**2 + 2*f - 2*f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 9) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 43 + -53. Calculate the remainder when (-2)\/(-5) - 56\/l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 45 = -3*l, -2*f + 2 = l + 2*f. Let h = 5 - l. Suppose 3*s - h = 48. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/804269 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -216, -407, -598, -789, -980?\nAnswer: -1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 175*o - 530*o + 172*o + 180*o. Let r(x) = 180*x**2. What is u(r(y))?\nAnswer: -540*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 80288 - 80258.9962. Let a = 28.3 + 0.7. Let n = p - a. What is n rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 282\/7, 2.\nAnswer: 2, 5, 282\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m + 277 - 258 = 3*x, -m = 3*x - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand h + h - h + (-22083 + 44155 - 22077 - 37*h)*(11 - 7 + 7).\nAnswer: -406*h - 55","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.034 + -3.066. Let o = -3 - h. Let z = o - 0.2. Which is smaller: -2\/3 or z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9014, 18017, 27020, 36023, 45026?\nAnswer: 54029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*(-10)\/(160\/6). Let s = -3 - 1. What is the nearest to -2 in s, 2\/11, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/(-2))\/((-6)\/48))\/(-9)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-4*2*sqrt(171) + sqrt(171))\/sqrt(9) + 0 + 1.\nAnswer: -7*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-5)\/2)\/((-1)\/2). What is b in -1 - o*b - 5 - 3*b**2 - 4*b = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 4*d - 2*c + 4, -2*d + 3*c - 8 = 0. Let v(g) be the first derivative of -3 - 1\/4*g**4 + 0*g**3 + 3\/2*g**2 + d*g. Factor v(f).\nAnswer: -(f - 2)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3831524 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -182 and -3.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**3\/9 + 808*u**2\/9 - 796*u\/9 - 536\/3.\nAnswer: -4*(u - 201)*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1379069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 315 - 313. Solve 0 = j*o - 1 + 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-19250)\/(-2695))\/((-4)\/14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 216469987?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -451310 - 2.1\nAnswer: -451312.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -12. Suppose 8*y - d*y - 5*c = 198, 0 = y + 4*c - 60. Let n = y + -50. Solve 0 = -3*f + 15, 0 = n*r + 3*f - 4 - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 8.71489157 - -0.9.\nAnswer: 9.61489157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3 - (-2)\/2). Sort -3, 0.2, g, 0.1.\nAnswer: -3, g, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003910 rounded to the nearest 10000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 6. Let k be y(0). Suppose k = -3*m + 15. Let l be (3 - 1)\/(-1) + m. Solve 2*n - l = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -32, -36, -38, -38, -36, -32?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -863 - 0.4?\nAnswer: -863.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 3*s**2 - 25*s. Let x(b) be the third derivative of 7*b**4\/24 - 1891*b**2. Give x(z(q)).\nAnswer: 21*q**2 - 175*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -4*k. Let d(v) = -527*v**2 - 1. Calculate d(n(w)).\nAnswer: -8432*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 z, and 1 v when four letters picked without replacement from iziivziizizvviviiizz?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 178892.2 kilograms in nanograms?\nAnswer: 178892200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -833*g + 60782 - 28310 = -24172 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a + 4*k - 24 = 56, -2*a + 28 = -2*k. Let d(o) = 2*o - 1. Let r be d(-5). Let z = r + a. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 1510*o**3 + 147*o - 1125. Let w(d) = -755*d**3 - 80*d + 562. Let b(z) = 6*p(z) + 11*w(z). Find the second derivative of b(c) wrt c.\nAnswer: 4530*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2964\/(-78)*(-7)\/(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = 24 - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -4*s + 25. Suppose 0 = s*k + 2*q - 0*q - 6, 2*k + 6 = -5*q. What is the lowest common multiple of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, z: 4}. What is prob of picking 2 c and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 74*h**2 + 8*h + 11. Is s(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2114)\/(-210) + -10 - (5852\/330 - 13).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 480 and 537120.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 6, x: 4}. What is prob of sequence pxpp?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 9109, 2\/53, -3\/8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11178 is divided by 112.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64295?\nAnswer: 5, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15.85 + -13.639. Let k = u + 0.789. Let j = -3\/7 + 36\/35. What is the fourth biggest value in 0.5, j, k, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195 = -23*k - 103. What is the third biggest value in 0.4, -10, 0.2, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -3*a**3 - 4*a**2 + a + 1. Let t be h(-3). Let o = t + -30. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 11, l: 2, s: 2}. Give prob of picking 2 l.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2 - r - 3 - r + 4. Let t be p(-2). Differentiate -2 + 15*n - t - 1 with respect to n.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*x**5 - 4*x**3 + 6155909*x**2 + 351632952*x.\nAnswer: -60*x**3 - 24*x + 12311818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 57*b**3 + 1098*b**2 + 284*b + 57. What is d(-19)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -427*c**2 + 478*c wrt c.\nAnswer: -854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/6 - (-22)\/(-4). Put 4, g, 1 in increasing order.\nAnswer: g, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes after 9:07 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 467095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the first derivative of -g**4\/4 + g**3 + g**2\/2 + g + 3. Let t(x) = -2*x**3 + 5*x**2 + x + 2. Calculate 5*m(y) - 3*t(y).\nAnswer: y**3 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181 is divided by 111?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1140\/4 - (-1 - 2). Let s = p + -2301\/8. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.3, -1\/8, 38 in decreasing order.\nAnswer: 38, 2.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 946, 995, 1164, 1525, 2150, 3111?\n\"Answer: 12*c**3 - 12*c**2 + c + 945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 12:57 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/81236836 or 0?\nAnswer: -5\/81236836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x - 2 - 2. Let g be (0 - 2)*(-5)\/x. Suppose 0 = 2*o + 3*o - g*z - 10, o + 2*z - 2 = 0. Solve -2 = -2*l + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/6)\/((h*h*h**(-5)*h)\/h))\/(h**(-14)*h*h**(-12)) assuming h is positive.\nAnswer: h**(167\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 AM and 10:18 AM?\nAnswer: 441","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-22)\/((d*d**(-3\/10))\/d) assuming d is positive.\nAnswer: d**(-217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + p = -13, 3*m - 8 = m + 2*p. Let t = m - -26. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 13*d + 33. Let x(y) = 6*y + 16. Let w(j) = 4*h(j) - 9*x(j). Let m be w(-9). Let u = 18 - m. 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 tens digit of 1330210454?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/((9\/4)\/(-3)). Suppose 4049*w = 4*u + 4053*w - 100, 0 = 4*u - 3*w - 93. Suppose 4*i - t = -3*t + 12, -5*i - 4*t = -9. Solve i*d + x = u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 18*w**3 + 3*w**2 - w. Suppose g = -10 + 12. What is the units digit of f(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/50*10\/(-8)*-2\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zlkzcmmt. Give prob of sequence mck.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that d**3 - 307*d**2\/4 - 24077*d\/4 - 1500 = 0.\nAnswer: -48, -1\/4, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1571, -71.\nAnswer: -71, 0, 1571","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 12:34 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jpvp when four letters picked without replacement from jvuuppujpxxxjjpujmpp.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 87 divide 10362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of s**3\/6 - 3*s**2\/2 - 4*s. Let l be z(9). What is the derivative of -l - 1 - n + 3 wrt n?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 174328 and 176.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -8  (b) 2  (c) 0.1  (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 2.7. Let t be (20\/25)\/(2\/60). Suppose 3*w = -3*g + t, -g = 5*w - 2*g - 46. Which is smaller: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42 + 45. Suppose -n = -5*n. Let c be n + 8 + (-3 - -3). Solve -q + y*q - c = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and 0.35284596084.\nAnswer: 0.75284596084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1123 + -122040?\nAnswer: -123213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 59121.26 rounded to the nearest 100?\nAnswer: 59100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(196)*1)\/sqrt(4))\/(sqrt(175)*-4).\nAnswer: -5 - sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21.661 + -0.661. Is -0.01 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -113, -193, -293, -419, -577?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - (1 - 2\/(-757)). Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2*13 + 12\/4. Let h = o + 26. Solve -9 = -0*j - h*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -19*p**4\/12 + 17*p**3\/6 + 319*p**2\/2 - 1270*p. Find the first derivative of b(o) wrt o.\nAnswer: -38*o + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 3*w + 1. Let g be i(-1). Let r(y) be the first derivative of 5*y**3 + 2*y**2 + 3*y - 6. Is 23 a factor of r(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 284 divided by -71?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -172 - -171.929. Let y = -1457109 + 1457108.9290053. Let i = y - u. What is i rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13341222 divided by -5\nAnswer: -13341222\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x**2. Let c be 2*(0 + 2 + 0). Let r(w) = -1175 + c*w**2 + 1175. Calculate n(r(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 149 + -146. Let a(z) = z**3 + 2*z**2 + 2. Let c be a(-2). Put c, -6, f in ascending order.\nAnswer: -6, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1416547 to the power of 1\/3, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1311*k - 1318*k = -3668. Is 524 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -731*r**4 + 27474*r**2*u**2 - 91955963*u**2 wrt r.\nAnswer: -2924*r**3 + 54948*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38 - -69. Suppose 5*i - 116 = -d. Let l be (1 - 11*-1) + 14 + -10. Which is bigger: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40524 and 7368.\nAnswer: 81048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 720 and 517440?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 540 + -540. Let s(n) be the third derivative of 1\/9*n**3 + y + 0*n + 1\/24*n**4 + 1\/180*n**5 - n**2. What is c in s(c) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v and 1 t when three letters picked without replacement from tvtevvooeveettoe?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1984 divided by 8?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4171 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -261a - -456?\nAnswer: -2174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**(1\/2))**14\/(d**(5\/4)*d**(-1\/5)\/d) assuming d is positive.\nAnswer: d**(699\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 19 + -56 + -25 + 14.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1588489843?\nAnswer: 17, 2551, 36629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11 + 5 - -17) + (-4 - -1 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -23076 + 27104. Is 35 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1114063 minus 0.151?\nAnswer: -0.2624063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4 + 4. Let o be (1 - 2) + 0 + s. Let i = 1 + o. Sort 3, -1, i in increasing order.\nAnswer: -1, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -2*y. Let b be c(4). Let a = 11 + b. Suppose 0 = -i + 5*i - q - 4, -4*q + 22 = a*i. Solve 0*z + 4*z - i = -2*d, 0 = -3*z + 3*d - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 107*l - 1792. Calculate the remainder when 257 is divided by u(17).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -12 + 4 - -24?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4 and 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/78880 and 139\/2322240.\nAnswer: 1144864320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 2*l = 3*l - 2, 4*l - 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -51, -152, -253, -354?\n\"Answer: -101*j + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-298)\/4470)\/(2*(-2)\/(-36)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that 5*p**2 - 70*p - 475 = 0.\nAnswer: -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 AM and 4:58 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = -o - 613 + 599, -3*u - 3*o - 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 241 (base 15) to base 13.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, -1.815, 1\/5, 0.11?\nAnswer: -1.815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 10819, 10798, 10765, 10720?\n\"Answer: -6*c**2 - 3*c + 10828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 15 = -4*x - 39, 3*r + 7*x - 10*x - 39 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p. Let w(i) be the third derivative of -43*i**5\/10 - i**4\/12 - 278*i**2 + 2*i. Calculate v(w(b)).\nAnswer: -258*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 - -56. Let i = o + -57. Let j = -0.3 - -1.3. Put j, -2, i in increasing order.\nAnswer: -2, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 2059.05 hours?\nAnswer: 7412580000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 89*-0.2\nAnswer: -17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 90 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.792 - 0.192. Let m = 12\/241 - -302\/3615. Which is the closest to 1\/4?  (a) m  (b) 4  (c) -9  (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -889*f + 49839 - 11796 = -1962 for f.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3762*g + 5*q + 15 = -3757*g, q + 1 = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.68 + -2.08. What is the smallest value in 6, -1\/2, d?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of z**4\/12 - 2*z**3\/3 - 3*z**2\/2 - 371*z. Let q be 78\/18 + (-22)\/(-6) + -4. Calculate f(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -36?  (a) -3\/2  (b) 0  (c) -2\/15  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -64 + 3 - (492 + -504)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2544 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x + 29. Let z be u(-12). Solve -3*q + 3 = 3*w - q, q = 2*w + z for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/4 + -1)*2828\/101.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 903862571, 903862573, 903862575?\n\"Answer: 2*h + 903862569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 180 + -184. Let j(g) = g + 16. Let u be j(-11). Which is the fourth smallest value?  (a) 0.3  (b) i  (c) u  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -329*w**3 - 180*w**2 + 133*w - 11. Let a(x) = -164*x**3 - 90*x**2 + 66*x - 6. Let q(c) = 10*a(c) - 4*s(c). Solve q(v) = 0 for v.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 PM and 6:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-2\/7)\/b)**6\/(b**5*b*b**5))\/((b**(-1))**(5\/14)*(b**(1\/2))**(-26)) assuming b is positive.\nAnswer: b**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**9\/3780 + c**5\/6 - 19*c**4\/24 + 18*c**2. Let i(q) be the second derivative of w(q). Differentiate i(n) wrt n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a. Suppose 4*c = 3*d + 6 + 5, d - 13 = -2*c. Let k(x) = -x + 1. Let v(y) = c*o(y) + 3*k(y). Give v(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 704 minutes before 12:43 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 11*f - 74. Let n be d(6). Let g be ((-1)\/(-2))\/((-4)\/n). Which is smaller: g or -6\/127?\nAnswer: -6\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x - 5. Let k be g(-5). Suppose 4*n + 1 = -2*y - n, -3*y + 3*n + 9 = 0. Factor -h**2 - 2*h + k*h**y + 3*h**2.\nAnswer: 2*h*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5005938229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 352\/4*(-233)\/932?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*f**3 + 0*f**3 + f**3)*(-496*f - 747*f - 195*f) + (f - 3*f + 3*f)*(2*f**3 - 4*f**3 + 0*f**3).\nAnswer: 4312*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-99)\/55)\/((-222)\/1850).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 93, -14, 1, 75.\nAnswer: -14, 1, 75, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -138*t + 25. Let c(a) = -415*a + 71. Calculate 6*c(l) - 17*r(l).\nAnswer: -144*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 22302 = 112907. List the prime factors of u.\nAnswer: 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 3, 1, -3411, 4, 39 in ascending order.\nAnswer: -3411, -1, 0, 1, 3, 4, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 416089742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1157 + 3021. What are the prime factors of y?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/4 in -4, -9, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-32)\/480)\/(((-2)\/18)\/(-1)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - 23. Let g = 2 - 1. Which is the nearest to y?  (a) g  (b) -1\/3  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 42 and 7.76.\nAnswer: 49.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w - 30*w**2 - 2*w.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q**3 + q**2 - q. Let x(m) = 3*m**3 - 2*m**2 + m. Let g(h) = -h**3 + 5*h + 3. Let y be g(-2). Determine y*x(t) + 2*p(t).\nAnswer: 5*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -132, -98, -64, -30, 4?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 62455633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1075, 1072, 1069?\nAnswer: 1066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/7  (b) 0.0209  (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000612989 to five decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 1140*g**2 + 135*g - 135. Let k(o) = -17*o**2 - 2*o + 2. Let r(v) = 135*k(v) + 2*t(v). Let a(s) = -2*s. What is r(a(q))?\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 31563450 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from euggulllulgallalau. What is prob of sequence ggl?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-84*o + 33*o + 166*o)*(0 - 4 + 2)*(9 + 2*o - 9 - 3*o**2).\nAnswer: 690*o**3 - 460*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d1c89 (base 14) in base 15?\nAnswer: 376e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (112*q - 53*q + 90*q)*(8 - 3 - 8).\nAnswer: -447*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*c = -0*c - 12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-44)\/(-12) - 4)*0. Suppose 21*n - 24*n - 2712 = g. Let t be n\/10*(-10)\/(-2) + 2. Round t to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-95)\/((-17765)\/8058) - 43?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 228469 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -509 + 546. Suppose -44*f + v*f = -868. Which is smaller: 123 or f?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 (base 9) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 43992 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 185 and 814?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**2 + 11*k + 1. Let o be j(-11). Suppose x - o - 1 = 0. Suppose 3*w - 5*m = 83, -x*w = 2*m + 1 - 35. What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3140.258mg to nanograms.\nAnswer: 3140258000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1554 equal to 2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1022132034 (base 5) to base 11.\nAnswer: -1236273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3744093?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/p**(-3\/7))\/p**(2\/3))\/(p\/p**1)**24 assuming p is positive.\nAnswer: p**(16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83*w**2 + 172*w**2 + 11*w**2.\nAnswer: 100*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 7 = 3. Suppose -v*p = 4*k + 8 - 32, 0 = 3*p - 3*k + 9. Suppose -2*o = 12 - p. What is the closest to o in -3, -0.5, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(3146) - (sqrt(26) - -6*(1*sqrt(26) - sqrt(26))))\/(sqrt(6)\/(sqrt(3) + sqrt(36)\/(sqrt(12) + sqrt(48)))).\nAnswer: -16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (6 - (19 + -11)) - -23?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 30 = -s. Let m be s\/2*(-5)\/30*-4. Are m and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6707 - -14255. Suppose 0*v + 4*t - p = -2*v, -3*v - 2*t = -31455. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 24*d**2 - 3*d - 72. What are the prime factors of x(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3a8140770 - 1?\nAnswer: -3a8140771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2483, 5036, 7587, 10136, 12683, 15228?\n\"Answer: -p**2 + 2556*p - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 485 - 535. Let i = g - -66. Solve -t = -1, -v + t = 2*v + i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 2)*(-3*y + 4*y + 0*y)*(-5 + 3 + 3)*(-1 + 5 - 26)*(-2 + 2 - y).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001616 to six dps.\nAnswer: -0.000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -40 not equal to -206\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -111101100111?\nAnswer: -111101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -11*s + 1. Let g(o) = -12*o**2 - 691*o - 12. Give g(x(u)).\nAnswer: -1452*u**2 + 7865*u - 715","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**3\/6 - 3629*x**2\/6 + 1301153*x\/2 - 437422245\/2 = 0. What is x?\nAnswer: 807, 2015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6455158 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-226780)\/8740 + 1*26\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes after 8:00 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 2. Suppose 2*x**4 - 2*x - 4*x**4 - 6*x**2 + 0*x**t - 6*x**3 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1524*m*o**3 - 2*m*o**2 + 5708*m*o + 5*m - 21*o**4 - o**2 wrt o.\nAnswer: -9144*m - 504*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes after 3:59 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 18*j**2 + 50*j - 18. Let f be (3 - 5)\/(3\/(-30)*1). Is 13 a factor of x(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + j = 5*q - 20, -5*q + 3*j + 32 = 0. Solve -5*h + 26 = -q*n, -3*h + n = -2 - 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a. Let h be v(0). Suppose 4*s + 2*s - 7*s = h. Suppose s = -10*q + 15*q - 450. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 81 + -86. Let j be (90\/8)\/(-3) - x. Factor -1\/2 - 1\/2*a**2 - j*a.\nAnswer: -(a + 2)*(2*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 78959 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5 and 23885.6043219?\nAnswer: 23890.6043219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4536 divided by 4.\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -68767 (base 9) in base 15?\nAnswer: -d8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 920 + -292. List the prime factors of v.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/624 and 103\/156.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 26*(-2)\/(-12)*-3. Let n = v + 7. Let l(y) = y + 7. Determine l(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1487, -2939, -4397, -5867, -7355?\n\"Answer: -a**3 + 3*a**2 - 1454*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of -h**4\/12 + 10*h + 24. Let v be (8 - 3) + -1*2. Let t(l) = 13*l - v + 3. Give t(j(r)).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 108436 - 122*s + 85*s - 108434.\nAnswer: -37*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the third derivative of 2\/135*f**5 - 1\/27*f**4 + 0 - 1\/540*f**6 + 5*f**2 + 0*f**3 + 0*f. Factor y(g).\nAnswer: -2*g*(g - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 19 and 292087?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 + -1337?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 14*f**2*z**3 - 7*f*z**3 - f - 2*z**3 wrt f.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7.047407s?\nAnswer: 7047407000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4*u - 60 = 0. Calculate the greatest common factor of 96 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/150 and -69\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -172283*p*v**3*z**2 - 7013*p*v**3*z - p*v**2*z - v**3*z + 4*v**3 - 2*v*z wrt z.\nAnswer: -344566*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -963 (base 13) in base 8?\nAnswer: -3102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (31\/(-93))\/((-2)\/(-24)). Let n be (4 + -2)\/(2\/5). Put 1, w, n in descending order.\nAnswer: n, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 2340?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 163 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*k + n + 7, 3*k = -3*n - 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(400)\/(sqrt(10) - -2*sqrt(10)))\/((-3*sqrt(96))\/sqrt(12) + sqrt(8)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y - 21. Let n be k(-7). Which is the nearest to n?  (a) -2\/9  (b) 0.5  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -3*x**2. Let v(o) be the second derivative of o**4\/3 + 31*o**3\/3 - o**2\/2 - 2262*o. What is v(w(n))?\nAnswer: 36*n**4 - 186*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001001110111001 (base 2) to base 10.\nAnswer: 37817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*r - 3*r + o - 14 = 0, 0 = -r + 5*o - 18. Solve -3*k + s + r*s = -12, 0 = -5*k - s + 26 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 877401?\nAnswer: 3, 7, 19, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g. Let k(b) = 3*b + 2. Let w(h) = -3*h - 3. Let d be (2 - 6)*3\/(-2)*1. Let p(y) = d*k(y) + 4*w(y). Determine 15*o(a) + 2*p(a).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*l**3 + 35*l**3 + 210*l**3 + 140*l**3.\nAnswer: 349*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 2*d**3 - d**2 - 5*d - 2. Let z be k(4). Suppose j - y - 17 = -j, -21 = -3*j + 3*y. Calculate the greatest common divisor of j and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 72*j - 7697. Determine y(61).\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-30)\/30)\/(3\/(-7173)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 516 and 70348.\nAnswer: 211044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -7*x - 26. Let j(f) = 46*f + 124. Let n(c) = 9*c + 25. Let h(z) = -2*j(z) + 11*n(z). Let a(u) = -6*h(u) - 7*k(u). List the prime factors of a(7).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*c + 2*c - 19*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*s**2 - 93270070*s + 186540160.\nAnswer: -5*(s - 2)*(s + 18654016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 - 10. Let f = i - 31. Let p = 32 - f. What are the prime factors of p?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/30305 and -53\/19709270.\nAnswer: 216801970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 55.548 - 0.048. What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46454 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 496218 = -16*c, -16 = 3*h - 1. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*t = -t. Which is the fourth biggest value?  (a) t  (b) -0.1  (c) -0.2  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {v: 1, m: 1, o: 2, c: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3\/13 + 14*d**2 + 2790*d\/13 + 11826\/13.\nAnswer: 2*(d + 9)**2*(d + 73)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 250597997?\nAnswer: 13, 19276769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - 9) + 14 + (3 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -652 + 652 - 1063*a**2 + 1022*a**2.\nAnswer: -41*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 2*m + 8 = 0, 2*y + 11*m = 10*m - 4. Let j(s) be the third derivative of -s**4\/24 + s**3\/2 + 7*s**2. Determine j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1 + -5 + 1 + 18. Let q(j) = 9*j**2 + j + 1. Let t be q(-2). Let w = t - u. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.4 in 0.4, -4\/3, -114?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 7*p**2 + 2*p - 26. Determine m(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 5 = 5. Let b(x) = 0*x - 2*x + 5*x + x**f + 0 - 7. Calculate b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 7*p**2 + 8*p + 16. Let t(o) = o**3 - 13*o**2 - 46*o - 8. Calculate the remainder when t(16) is divided by c(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 233953894 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71731832, 71731833, 71731834?\nAnswer: 71731835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvl when four letters picked without replacement from lavvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from wppwpzzpmzz.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/23992725 and 34\/78225.\nAnswer: 167949075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Are 780 and 780 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l**5\/9 - 2770*l**4\/3 - 251042*l**3\/9 - 26970*l**2 = 0 for l.\nAnswer: -29, -1, 0, 4185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -h + 2 - 2 + (h + 3*h - 2*h)*(-2 + 4 - 1) + 3*h + h - 2*h - 2*h + h - 4*h + 5*h + 12*h - 6*h + 2*h - 6*h + 3*h as o*h + l and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2811040 divided by -562208?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 60\/(-990) - (-194)\/(-66)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 39*x - 6. List the prime factors of j(3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 53*l + 50. Calculate c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*1*sqrt(78)*1*-2)\/(1*sqrt(96) + 1*sqrt(150) + sqrt(6)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 334 divide 6282540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 7 = 39. List the prime factors of 3\/(-12) - (-426)\/j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, -5, -51 in descending order.\nAnswer: -5, -51, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v + 2*v - 27*v)*(-1 + 2 - 2) + 5*v - 2*v - 2*v + (10 + 2 - 5)*(0*v + 0*v - 6*v) + 5*v - 4*v - 2*v.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 14, 28, 48, 74, 106?\n\"Answer: 3*x**2 + 5*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 901 - 865. Calculate the remainder when f is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(2\/10)\/(-1)*14020\/(-22432)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8\/47  (b) 0.1  (c) 0.02  (d) -61536\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -5*s**3 + 317*s**2 - 127*s + 314. Give c(63).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1030 + 421410201?\nAnswer: 421411231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9 - 0.8. Let m = -0.02 + -0.08. Let t = 1 - 1. What is the biggest value in m, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 241 is divided by 64.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i - 10 = -10*i + 5*g, 3*i + 5*g = -30 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3102 and 2712.\nAnswer: 1402104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29588, 59227, 88922, 118673, 148480, 178343?\nAnswer: 208262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -3*d. Let h = -12 - -11. Let y be m(h). Suppose -l + 4 = y*l. Calculate the highest common divisor of l and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 312 and 82655157.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 49 and 7862197.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*w - 5 + 4 + 184*w + 9*w.\nAnswer: 182*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 760435 is divided by 132.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 179301 is divided by 13746.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6.1 - -6. Let z = -1467 - -1469. Which is the nearest to w?  (a) z  (b) 7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 205 + 56. Suppose 3*s - q = -0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24264434?\nAnswer: 2, 12132217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 79119, 79332, 79641, 80046, 80547, 81144?\n\"Answer: 48*l**2 + 69*l + 79002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**2 - 2*b**3 - 3*b**2 - 30*b**3 - 41*b**3 + 131*b**3 + (3*b - 3*b**2 - 3*b)*(-b + 5*b - 5*b) to p*b**2 + t*b**3 + i + z*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes after 2:14 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -6. Let b = -56.2 + 56.7. Sort 4, b, h, 1 in decreasing order.\nAnswer: 4, 1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-2\/13)\/l*l*(l*l**3)\/l assuming l is positive.\nAnswer: l**(37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f - 9836 - 85779 = 0. What are the prime factors of f?\nAnswer: 5, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + -3 - 1)\/(-3). Let g = 5 + -3. Let o = g + -1. Which is bigger: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -283*u - 3542 = -532*u - 22649 - 7536 for u.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 219 + -210 + (-15 - -3) + 85 + (-2 - -3).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.97*-51.3.\nAnswer: 254.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -k**4*u**3 + 142*k**4*u**2 + 44*k**2*u**3 - 3*k**2*u - 4*u**3 wrt k?\nAnswer: -24*k*u**3 + 3408*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -10. Suppose -6 - 18 = -i*l. Suppose 9*d - 9 = l*d. Calculate the remainder when d is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 302290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b + 384 - 5*b - 382 - b**2. Let o be 60\/(-6) - (-1)\/1. Let j be -6 - (o - 0)\/3. Calculate m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Convert 2011 (base 3) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3\/122 + 253\/366. Factor -y + 10\/3*p - 8\/3*p**2.\nAnswer: -2*(p - 1)*(4*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1547.\nAnswer: 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 0.03  (c) 2\/11  (d) 18\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11739951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 4*v - 28 = 0, 2*g + 26 = 6*g + 2*v. Suppose s = 2*s - g. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48517, 48514, 48511, 48508, 48505?\nAnswer: 48502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of 11137 and 6901.\nAnswer: 18038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -100 - -100.147. Let v = k - -0.273. Round v to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -2768272799 take away 0.4?\nAnswer: -2768272799.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 6 = t. Find the second derivative of -5*p**t + 3*p + 7*p**2 - 2*p**2 + 12*p**4 wrt p.\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2457682 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -19*i**7\/42 - 67*i**6\/30 - i**4\/6 - 26*i**3\/3 + 2*i**2 + 15*i - 53. What is the third derivative of v(l) wrt l?\nAnswer: -1140*l**2 - 1608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -20*o - 3*o**2 + 20*o + 7*o**2. Let m(x) = 0*x - 2*x + x. Give m(v(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -22, 24 in decreasing order.\nAnswer: 24, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:19 PM and 12:44 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2 - 10)\/(((-3)\/18)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 8) + -1 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 40 is divided by 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 23, 1\/2, 0.4, -3\/2, -1\/8, -1.84?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 144.82 - 143.82. Sort -781, 0, 2, i in descending order.\nAnswer: 2, i, 0, -781","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1317 or -1062?\nAnswer: -1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*w - 257 = -330. Let c = 0 + 0.2. What is the third smallest value in c, w, -0.9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3218*f**2*g**4 - 108661*f**2 + 856*f*g**5 - 3*f*g + 3*g wrt g.\nAnswer: 38616*f**2*g**2 + 17120*f*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.07 + 5.8. Let i = -3.63 + y. Let o = i + 4. What is the second biggest value in -1, -5, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4013470 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**2 - n - 27. Give a(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/9 - (-48)\/1188.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 37.29723 years?\nAnswer: 447.56676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.040555 and -0.006?\nAnswer: 1.046555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m**4 + 81*m**3 + 982*m**2 + 2988*m + 2680 = 0. Calculate m.\nAnswer: -67, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 14*i + 42 - 42 + (1 - 1 + 1)*(-5*i + 0*i + 4*i) + 0 + 0 - 2*i - 4*i + 3*i - 2*i to the form n + p*i and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vk when two letters picked without replacement from uuuuvvuxkuuuu.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3436 + -4bc7?\nAnswer: -1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-10))\/4*75\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (-13 + 1) - 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -44\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*s - 3*s. Suppose 3*u = 5*f - 0*u - 39, -4*f + 30 = -s*u. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/17, 1, -4, 15.1, 84.8 in decreasing order.\nAnswer: 84.8, 15.1, 1, -1\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1202971, 2405941, 3608911?\n\"Answer: 1202970*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (2736\/(-36))\/(1*(-2)\/4) and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*y - 2*y + 6*y)*(-1 - 2 + 2) - y - 1 + 1 + (2 + 2 - 2)*(2*y + 3 - 3) + (-4 - 4 + 3)*(-14 - 23*y + 14) to r + o*y and give o.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -g - 4*k, -k = -0*g + 2*g - 60. Suppose -6*b + g - 7 = 0. Does 42 divide 2\/b + 2680\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-16))\/(7*(-1)\/21*6)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -6\/17  (b) 2  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.427 - -15.573. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*12*(-5)\/40.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*h + 12. Suppose -2*n = z - 4*z - 101, 0 = z - h. Let c = n + -25. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62 and 2325.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3586908461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of t**6\/24 + t**5\/15 + 5*t**4\/24 - 3*t**3\/2 + 12*t**2. Let d(a) = -a**3 - a**2 - a + 2. Determine 9*d(x) + 2*k(x).\nAnswer: x**3 - x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 166567224*u**2 + 1 - 166567230*u**2 - 1.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -197819436 rounded to the nearest one hundred thousand?\nAnswer: -197800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 4*f**4 - 284597*f**3 + 59943661*f**2 - 74556048*f + 14896980 = 0.\nAnswer: 1\/4, 1, 210, 70938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 3*n = 79 - 5, -5*s + 3*n + 106 = 0. Suppose -2*q = 3*q + s. Sort q, 5, -3 in descending order.\nAnswer: 5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 648*y**2. Let f(v) = v. Let u(r) = -8*r**2 + 24*r. Let p(s) = 24*f(s) - u(s). Determine a(p(b)).\nAnswer: 41472*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 + 33\/4. Which is the biggest value?  (a) 2\/5  (b) w  (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -10135*b + 3003. Is i(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6775)\/325 + 37 - (-32)\/(-2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 11:49 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 - t**2 - 3. Let g be a(-3). Suppose -3*z + g = 3. Is 4 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -15*y**2 - 2972*y - 25545. Give k(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 5:13 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15787 - 15784. What is the second biggest value in h, 5, -127, -2\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 - n**2 - 2*n + 8. Calculate o(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -13*((-128)\/(-1152))\/(8\/360)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, u: 3}. What is prob of picking 2 u and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 451595203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from blblblbllbbblbllbl. What is prob of sequence lbb?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 66 + -104. Let d = o - -57. Suppose w = 6*w - 15. Solve d = -3*c - 3*b - b, -c - w*b - 8 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minutes before 3:44 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 + 0 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1222201110000 (base 3) to base 5.\nAnswer: 232313444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17536 and 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -182*b**2 - 3*b - 144. Suppose 11*j + 2 = 35. Let z(h) = 910*h**2 + 14*h + 720. Let m(f) = j*z(f) + 14*t(f). Differentiate m(u) wrt u.\nAnswer: 364*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -763 < -763?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*z - 1 = 1, 5*k + 4*z + 50 = 0. Let p(i) = i + 10. Let j be p(k). Suppose q - j*x + 3*x - 8 = 0, 3*x + 3 = 0. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that 2*a**4\/9 - 320*a**3\/9 + 1698*a**2 - 172660*a\/9 - 2072000\/9 = 0.\nAnswer: -7, 37, 50, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2304.43477 rounded to 0 dps?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -127*r*u - 9*r - 62218*u**4 + 324587 wrt u?\nAnswer: -127*r - 248872*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 - 5. Calculate the remainder when l is divided by -3*(-7)\/((-84)\/(-44)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, f: 5, l: 3, q: 1}. Give prob of sequence ll.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -242232 (base 11) to base 4\nAnswer: -1131221311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**2 + 5*m - 4. Let o be h(5). Let n be -368 - -381 - 2*4. Suppose -r - 4*a = 8, 0*a = -5*r + 3*a + 29. Put r, o, n in ascending order.\nAnswer: o, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - a = 10. Suppose 4*k + a*x = 141, -3*x = -7*x + 20. Calculate the smallest common multiple of 8 and k.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n**3 + n + 82. Let k be m(0). Suppose u - k = -0*u. Suppose -3*c + 8 = -3*q - 31, u = 4*c + 2*q. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*s**3 + 24*s**2 + 44*s + 24.\nAnswer: 4*(s + 1)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2. Suppose -4 = -18*f + 22*f. Let v(g) = 9*g**2 - 6*g - 6. Let i(b) = -b - 1. Let m(t) = f*v(t) + 6*i(t). Determine h(m(o)).\nAnswer: -162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*q**4 - 266*q**2 + q - 11454 wrt q?\nAnswer: 804*q**2 - 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - -0.8. Let w = -130 + 127. Which is the closest to s?  (a) -4  (b) 7\/4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u - 181 + 181 + (6*u - 4*u - 4*u)*(62 + 25 + 88).\nAnswer: -347*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 28 = -3*y, -6*m + 2*y - 4 = -3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2. Let f(t) = -t. Let p(k) = 11*k + 9. Let q(x) = -1 - 5*x + 1 - 4. Let r(h) = 4*p(h) + 9*q(h). Let a(n) = f(n) - 2*r(n). What is a(s(i))?\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.05  (b) -2  (c) 1  (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t**(-12)*t*t*t\/t**9*t assuming t is positive.\nAnswer: t**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -991 + 447 = -32*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16 + 6. Let t(y) = -2*y**2 - 4*y - 10. Let w be t(x). Is (w\/8)\/((-3)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -18*t + 3. Suppose 4*z - 5*i + 25 = -z, 2*z + 4*i + 4 = 0. List the prime factors of r(z).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:39 PM and 1:04 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 0*c + 1131 = 3*c, -4*s + c = -1508. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-44)\/(-7) + (-6)\/21. Let p(b) = b - 16. Let w be p(v). Let j(z) = -z**2 - 13*z + 6. What is the tens digit of j(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*b + 40 = -2*b. Find the third derivative of 924*z + 34*z**b + 28*z**2 - 924*z wrt z.\nAnswer: 2040*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -583, -1160, -1737, -2314, -2891, -3468?\n\"Answer: -577*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 26 in -0.05, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -25, -3, 6, -1\/20, 44\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9301 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 15505423345 + -4?\nAnswer: 15505423341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 58 = 4*b + 10. Let k(q) = -q**2 + 28*q - 156. Let y be k(18). Let c = y - b. Calculate the remainder when 46 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -14.7 + 21.7. Let m = -3 - 2. Sort -4\/5, j, m, 0.4.\nAnswer: m, -4\/5, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 minutes after 9:10 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 317711800 and 1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12080091 + -28980091. What is v rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 635503806 by 2569.\nAnswer: 247374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 + 52 = 2*i. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/1)\/(-3)*-9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.26 * 333\nAnswer: -86.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -7*q**2. Let y(z) = -3*z**2 + 2*z**2 + 2*z**2. Give y(x(p)).\nAnswer: 49*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from mrmmmrmrmlyjrrlmmmmj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 118 = -2*w + 2*a, 3*w = 4*a + 176. Calculate the greatest common factor of w and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.26 + 0.04. Let t = -3.091 + 2.091. Which is the nearest to -11?  (a) m  (b) -0.2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6541.5904 rounded to the nearest 10?\nAnswer: -6540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 34, 76, 138, 214, 298, 384, 466?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2994045 divided by -998015?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:29 AM and 3:03 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 189, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2496170147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1263\/8 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 - (-11 + -7 + (12 - 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -10*a**3 - 51*a - 50. Let r be h(-1). Solve 0 = -r*z + 14*z + 3*u - 21, 4*z - 4*u = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 821, 0.1, -300\/7, -0.1 in descending order.\nAnswer: 821, 0.1, -0.1, -300\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.976 plus 6042?\nAnswer: 6042.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -746764660*d*k + 1357496170*d wrt k?\nAnswer: -746764660*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -23578.8771 rounded to the nearest 10?\nAnswer: -23580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*-1*sqrt(119))\/sqrt(7))**2*-1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -23785.649 - -23798. What is y rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 15bb1?\nAnswer: -15bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 4292 - 4323 = 4*i, -5*b - 5*i = -4*b - 6*b - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -5*d**3 + 2*d**2 + 12. Let a be z(4). Let x = 296 + a. What is the greatest common divisor of x and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 6*r**3 - 3)*(-5 + 1 - 10)*(-250*r + 143*r + 170*r).\nAnswer: 5292*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(-1\/11)*o*o\/o**(2\/13)*o**(-1)*o**(1\/2))\/(o\/(o*(o\/((o*o**(3\/11))\/o))\/o)*o**(-2\/9)*o)**50 assuming o is positive.\nAnswer: o**(-128927\/2574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 + (2 + -7 + -4 - 13).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) 52840  (b) 0.3  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*l = -0 - 4, 4*p - 2*l = -14. Let y = p + -4. Let f = 12 + y. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 1 - (9 + -19 + 1 - -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 956220441 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + 0 - (-208 + 209)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 16004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 455063 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n + 50 - 50 - 24*n.\nAnswer: -27*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 714730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002713 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 175 - -22?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -h**2 - h**2 + 4*h**2 + (3*h - 2*h + 0*h)*(-h - h + 3*h) + 7*h**2 + 4*h**2 - 2*h**2 as v*h**2 + o + c*h and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + (15 - 9) + (-27 - -36) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 501162822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 23614 + -23331.69. Round j to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -252\/781 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*r**2 + 2*r**2 + 6*r**2)*(-3*r**2 - 2*r**2 + 4*r**2) - 889*r**2 + 862*r**4 + 889*r**2.\nAnswer: 859*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15481 - -15481. Which is the closest to 0?  (a) i  (b) -0.5  (c) -2.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + -5 + sqrt(17)*2.\nAnswer: -6 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 - 7 = -4*b. Let y = -411 + 417. Solve n + b = y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u = 36 - 4. Put -0.3, -4\/5, u in descending order.\nAnswer: u, -0.3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -4*s + 2233*s**2 + 15 - 6*s + 13*s + s. Let o(f) = -6*f + 15. Let i be o(3). Let n be g(i). Round n to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1763 + -1764. What is the nearest to 8 in 0, 2\/5, s?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + r - 331. Give d(-19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -39, -0.4, 4, -2, -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (4 - 7 + 2 + (0 + 0 - 2)*(-4 + 2 + 1))*(10 + 50*k - 10) in the form i*k + o and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10861.\nAnswer: 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 - 32\/(-14)) + ((-5424)\/(-224) - 21). Let j(h) be the first derivative of 21 + 5\/3*h**3 + 3*h - l*h**2 - 1\/4*h**4. Solve j(i) = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -377400 to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 38012279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 208 = -4*x. Let s be (-575)\/(-65) - ((-12)\/x)\/(-3). Let z(t) = 11*t - 21. Does 6 divide z(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the second derivative of 0*i**3 + 1\/3*i**2 - 1\/18*i**4 - 7*i + 0. Let g(o) = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 8*z + 57. Let q(x) = 4*x + 29. Give 6*p(o) - 13*q(o).\nAnswer: -4*o - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 142.3293 microseconds to seconds.\nAnswer: 0.0001423293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.046 in 3, -0.3, 2\/5, 0, -9\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 102.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*f + 1605 - 1225 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17\/3 or -5?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 31*l + 12656. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -2*d + 1. Let j(l) = -3*l + 2. Let p(g) = -4*j(g) + 7*x(g). Let u be (48\/(-40))\/((-3)\/10). Calculate p(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 213*5.\nAnswer: 1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -b0d (base 14) to base 6\nAnswer: -14013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -2*d - 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -11182, -11203, -11224, -11245, -11266?\n\"Answer: -21*r - 11161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p*p**0\/p)*p*p)**34*(p*p*p**0)\/p*p*p\/p**1 assuming p is positive.\nAnswer: p**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -7. Let d be 833\/77 + -8 + 4\/22. Solve d*m - 5*p = -0*m - 19, -1 = -m - w*p for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 48\/119 + -2\/17. What is the second smallest value in a, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a - 3*a + 10*a)*(0*a + 0*a + a**2 + a**2 + 5 - 5 + (a + 3*a - 3*a)*(6*a - 3*a - a))*(2 + 1 - 1) to t + j*a + f*a**3 + p*a**2 and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjsff. Give prob of sequence jj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -170*w - 727 - 293 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -5*z**2 + 4*z + 9. Let b(u) = 2*u**2 - 2*u - 5. Determine -5*b(c) - 3*x(c).\nAnswer: 5*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.7784 and 1?\nAnswer: -2.7784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 428, 435, 434, 425, 408, 383?\n\"Answer: -4*v**2 + 19*v + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w - 30 = -2*j, 2*w + 11 = 3*j + 3*w. Solve -4*t = 5*y + 4, 2*t + j*y = -0*t - 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-990)\/(-15))\/11)\/(3\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -241, -609, -1217, -2065, -3153?\nAnswer: -4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 36 = -5*l + 2*f, l - 3*f = 0. Calculate the highest common divisor of 99 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 28  (b) 3592  (c) -4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + d**3 + 29 + 14*d**3.\nAnswer: 15*d**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 83427395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = 230*c - 223*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-2*2\/(-8)*-2). Is (2\/((-2)\/u))\/((-4)\/636) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -5*r. Let q be x(-1). Suppose -17 = -4*z + 3*z + b, q*b = 2*z - 28. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -90.2 + 112. Let x = -22 + w. What is the closest to 2 in -4, x, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*q + 3. Suppose -q*l - 2*l + 205 = 0. What is the remainder when l is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d**3 - 29*d**2 + 24*d + 42. Is y(20) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 2782*m. Let r(j) = -15*j**2 - 13*j - 13. Let z(o) = -7*o**2 - 6*o - 6. Let i(q) = -6*r(q) + 13*z(q). Give k(i(a)).\nAnswer: -2782*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.1 - 0.1. Let m = 2.52 + 0.78. Let n = -3.2 + m. Sort n, i, -4.\nAnswer: -4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (784\/70)\/((-16)\/20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -9*k**2 - 363*k + 6. Let p(l) = 7*l**2 + 365*l - 4. What is 4*p(g) + 3*q(g)?\nAnswer: g**2 + 371*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 232929044073147?\nAnswer: 232929044073146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = 16*i - 640. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.4 - 0.9. Let r = -0.511 + 0.411. What is the third biggest value in f, -0.3, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 PM and 12:34 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6443\/1137 + (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -5  (b) -0.5  (c) -3  (d) 1\/4  (e) 0  (f) -4  (g) 9\/257\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 3*c**2 - 24*c + 110. Let h = -37 + 123. Suppose -2*a = -z - 0*z + 26, -5*z - a = -h. Calculate the remainder when v(7) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20*d**3*p**3*u + 4*d**3*p - 4*d**2*p**3*u - d**2*p**3 - 3*d*p*u + p**3*u wrt d?\nAnswer: -120*p**3*u + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 5*u + 16, -2*q + 3 = -4*u - 9. Suppose -902 = -3*s - q*k, -4*s + 3*k + 1200 = 5*k. List the prime factors of s.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of g**3\/3 - g**2\/2 - g - 5. Let y(m) = 7*m**2 - 5*m - 5. Calculate -5*v(h) + y(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 605*b*j*w**2 - b*j*w + 8709140*b*j - 10*j*w + 807721*w**2 wrt w.\nAnswer: 1210*b*j + 1615442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 171763 is divided by 35.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.0649 - 21807.9351. Let p = a + 21788.009. Let r = p - -20. Round r to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*q - q**3 + 11*q**2 - 11*q to o*q + p*q**3 + l*q**2 + x and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (7 - 12) + (-1 - 15\/(-2)). What is the third biggest value in -3, g, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 55 + 61 = -5*i, -t + 4*i + 3 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 6. Let i be b(-6). Let o(x) = -x**2 - 9*x - 19. Let q be o(-6). Let u be i\/(-1 - 2\/q). Which is greater: -4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1, 5, -592.\nAnswer: -592, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80)\/60*2\/(-4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the third derivative of 0*f**3 + 0*f + 1\/6*f**4 + 0 + 6*f**2 + 1\/10*f**5 + 1\/120*f**6. Determine t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -154928 + 154928.72993. Round h to 2 decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, -13, -49, -107, -187?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0053886 to 4 dps.\nAnswer: -0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23932878 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 577913?\nAnswer: 7, 82559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + 11*q**2 - 16*q - 49. What is c(9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7263 and 108.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 257977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from aayaaeaiayefiaaeaaaa?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + g + 11 = 0, -3*q - 3*g + 34 = -8*g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 5:39 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -58\/519 and -27\/8.\nAnswer: 4152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, 3\/5, 1, 0.1, 1\/22, -291, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 657649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 - 88. Let z = -53 - b. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*f**2 + 4*f - 30*f**2 + 2*f**3 + 1284.\nAnswer: 2*f**3 + 4*f + 1284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 990 divided by -22.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 315067?\nAnswer: 315067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 11753*x + 11. Calculate b(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -81, -344, -847, -1644, -2789, -4336?\n\"Answer: -9*l**3 - 66*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (6\/2)\/((-519)\/4498)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -2*h. Let s(m) = -15*m**2 - 18*m + 13*m**2 + 5*m**2. What is b(s(r))?\nAnswer: -6*r**2 + 36*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/(-70)*0*2\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14600, 14598, 14596, 14594, 14592?\nAnswer: 14590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 - 24.71. Let n = -0.241 - -0.051. Let i = c + n. Is i at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-1\/9)*m**(4\/5) assuming m is positive.\nAnswer: m**(31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 230764569 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2 - 1320576*i + 217990121472.\nAnswer: 2*(i - 330144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from {q: 1, g: 1, l: 2, s: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2619*o + 829*o = -84302 + 11894 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - u = 9. Let i(y) = 3*y + 8*y**2 + 2*y**u + y**3 - 12 - 3*y**3 - y**3. What is the tens digit of i(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 221, 410, 863, 1712, 3089?\n\"Answer: 22*u**3 + 35*u + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.36 - 28.36. Let w = 25.941 + 0.059. Let s = w + z. What is the nearest to -2\/7 in 1, -2\/5, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 less than or equal to -1295855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/2534517 - -10784368043\/1135463616. Let i = f + -201\/64. Calculate the common denominator of i and 33\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8 - 7. Suppose -u = -5*o - 18 - c, 4*u + 3*o = 99. Solve -4 = -5*t - u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 9*g - 32. Solve -g = 8*h - 4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in 2\/13, 2\/91, -1, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -51*v + 19. Is r(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n + 13. Suppose 3*h + 3*b = 2*b + 28, -10 = 5*b. Let k be d(h). Suppose 92 = k*w - 175. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, 237, -1\/7, 9\/22, -3, 1\/7?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + 3. Suppose -14 - 20 = -a*s - 5*o, -4*o = -5*s + 32. Let u = s - 4. Does 3 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 2, 0.5, -4\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*n = n - 180. Suppose 0 = -9*j + 487 + 215. Calculate the greatest common divisor of j and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 98895 and 7731160.\nAnswer: 1735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 + (2 + 2 - 1). Suppose -7*d + 3*d = v. Suppose d = 7*j - 626 - 1012. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4449333 divided by -58?\nAnswer: -4449333\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1373 - 1062. List the prime factors of y.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4 = -19. What is f rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -16*j - 10*j + 27*j + 1 + 0. Let c be w(-1). Find the second derivative of 40*x**5 + c*x - 4*x - 18*x**5 + 17*x wrt x.\nAnswer: 440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -5*w + 1. Let i be (-12)\/(-32)*4*6. Let q = i - 8. Let o(l) = 5*l + 3. Let p(s) = -11*s - 7. Let t(z) = 9*o(z) + 4*p(z). Calculate q*k(u) + 3*t(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 337 divide 479210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44 - -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of v**5\/20 + 17*v**4\/12 + 17*v**3\/6 + 37*v**2\/2 - 26*v - 2. What is the remainder when 145 is divided by u(-16)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.3, 4, -3, 1.5, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (18 - -3 - 28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -12902440437 and -14?\nAnswer: 12902440423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1018*r*s - 18769*r - 5*s**3 wrt s.\nAnswer: -1018*r - 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + 3*i**2 + 3*i + 12. Let y be n(-3). Solve a = y*a - 4*q - 20, 3*a = 3*q + 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 5, d: 1, c: 2, o: 1, x: 1}. What is prob of sequence oacc?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 114773111 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - t + 233 = 0, 4*o - 2*t = -o + 239. What is the third derivative of 3*s**3 + 16*s**5 + 70*s - 12*s**5 - s**2 - 3*s**3 + o*s**5 wrt s?\nAnswer: 3060*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 0.6, 50, -3\/5, 3.\nAnswer: -3\/5, 1\/2, 0.6, 3, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**3 - 4*i**3 + 2*i**3 + (-2 + 3 + 0)*(-i**2 + i**2 - i**3) - i**3 + 5*i - 5*i + (2*i**2 - 2*i**2 - 2*i**2)*(-21 - 20*i + 21).\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/5, 4, 45, 1\/3 in increasing order.\nAnswer: 1\/3, 2\/5, 2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the third derivative of r**5\/60 + r**4\/4 - 3*r**3\/2 - 2*r**2. Let q be h(-7). Is 61 - (0 - (q + 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150899.\nAnswer: 7, 21557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.09 + -10.638911?\nAnswer: -18.728911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, v: 2, i: 3, l: 1, m: 2, d: 3}. Give prob of picking 3 d and 1 m.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 5*d, 0 = 6*j - 9*j - d - 4. Let h(i) = j*i**3 + 26*i - 9*i**3 - 23*i. Let s(w) = w. What is -h(o) + 3*s(o)?\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**2 + 3*o - 18. Let u be z(0). Let v(l) = -23*l**2 - 8*l - 92. Let k be v(u). Round k to the nearest 100.\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - -1*(4 - -889). Let 2*o**2 + t*o - 892*o + 2*o**3 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1435394 and -6.\nAnswer: 8612364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 7626.32 weeks?\nAnswer: 4612398336000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -5*t**3 + 5*t**2 - 9*t + 12. What is s(3)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.021 + 0.021. What is the closest to 2\/3 in -2, -0.1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 3  (b) -5\/4  (c) -67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-132699)\/(-18) - 155\/(-186). Let s = 17592 - p. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11862690 to the nearest 100000.\nAnswer: 11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-6)\/(-6))\/((-2)\/(-10)). Suppose 5*g + 6 = -5*y + 16, -5 = l*y. Factor b + 0 + 7\/4*b**g - 4*b**2.\nAnswer: b*(b - 2)*(7*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = w - 8*o - 30, 7*w - 5*w - o - 55 = 7*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**2 + a - a + a**3 + (0 + 4 + 6)*(114*a**3 - 42*a**3 - 134*a**3).\nAnswer: -619*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 1013*b**4 - 5*b + 365. Let p(m) = 507*m**4 - 2*m + 184. Let l(j) = 5*p(j) - 2*q(j). What is the derivative of l(n) wrt n?\nAnswer: 2036*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -2*l**2. Let i(p) = 3*p + 9. Let v = 18 + -18. Let q(k) = k - 4 + v*k - 2*k. Let g(c) = -4*i(c) - 9*q(c). What is g(y(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -346\/1661 - -4\/151. Let p = 11 - 7. Let s = -1.2 - -1. Which is the second biggest value?  (a) p  (b) f  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 42 - 75. Let i = p - -33. Let v = 1 + -0.8. Which is the second biggest value?  (a) 0.5  (b) v  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8 - 0. Suppose 0*i - 2*i = -x - 4, 4*i + 3*x + 12 = 0. Suppose i = 6*k - k. Solve 4*c + k = o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 674 = k. Suppose 4*x - 2*j = j + 1384, x - k = 3*j. Suppose -49 + x = 5*l. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**3 - 6*a**2 - 5*a. Let w be g(-5). Suppose 31 + 33 = 3*q + 4*s, w = s + 2. Calculate the highest common divisor of 48 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 838147 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -165 + 352. Let j = b + 525. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 10:46 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) 2  (b) -14  (c) 0.1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 - 4 = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 184 and 446246?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2336 and 19783.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 2, 1 in increasing order.\nAnswer: 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, y: 3, k: 1, w: 10, q: 5}. Give prob of picking 1 y, 1 w, 1 k, and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lt when two letters picked without replacement from {k: 2, l: 3, t: 8, n: 7}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 19*m**2 + 4*m - 35. Determine h(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 5042186974 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3947600 rounded to the nearest one hundred thousand?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) 12\/19  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 3*r**3 + 1 - 2 - 4*r**3. Let v(o) = o - 1. Let h be v(3). Let m(d) = 2*d + 30*d**3 - 2 + 25*d**3 - 56*d**3. What is h*b(k) - m(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*v + 2*v. Suppose -5 = 7*w - 19. Calculate the greatest common divisor of v and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14400168 and 32400378.\nAnswer: 129601512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * 54.38\nAnswer: -16.314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 7. Let f = q - 2. Suppose 0 = -3*z - s + 38, 0 = f*s - 6 - 4. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1 and -431493.\nAnswer: -431493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 2*b**2 - 39*b + 84. Let g be p(17). Which is greater: g or -2\/155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 9:05 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/3 + 904*g.\nAnswer: 2*g*(g + 1356)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + (-10 - 2) + -1 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**2 - 3*u + 1. Let d be j(2). Is d greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4b05271 - -1?\nAnswer: -4b05270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1030 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 26245618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 1171*p - 7021. Let b be q(6). Solve 2*j = 3*o - b, 3*j - 8*j = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 265 + 6762020?\nAnswer: 6762285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*f = -63*f + 4614. Let w = 2026 - f. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 + 14. Solve -9 = 3*l - b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*a**3 - 136*a + 22*a**3 + 7*a**3 - 62 + 135*a wrt a?\nAnswer: 135*a**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 63795884 a multiple of 650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 56788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0*33\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*-1)\/(7\/(84\/6))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31533*v + 20499*v + 18197*v.\nAnswer: 70229*v","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the first derivative of g**7\/3360 + g**3\/3 + 2. Let y(m) be the third derivative of h(m). What is x in y(x) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51086912?\nAnswer: 2, 53, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -400 - -286. Which is smaller: -112 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 2*s + 20. Let i(u) = 63 - 34 - u**2 - 28 + u + 3*u - 3*u. What is 2*i(w) - n(w)?\nAnswer: -2*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2\/21  (b) 4\/7  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*o = 6*o + 4, -5*o = 3*m - 184220. Suppose 5*w - 2*f = 7*w + 61400, 0 = -2*w - f - m. What is w rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*-1 + (-15)\/5. Let a = 3 + l. Is (0 + -1)\/(a\/38) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1 - -3)\/(-25882))\/(-1). Let r = j - -685843\/388230. Find the common denominator of r and 55\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051665 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1229354*f**3*u**2 - 260*f**3 + 178*f**2*u - 10 wrt u?\nAnswer: -2458708*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1350 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of n**7\/2520 + n**6\/720 - n**4\/8 - 2*n**2. Let x(y) be the second derivative of d(y). Find the second derivative of x(q) wrt q.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 177\/103 - 251\/206. What is the biggest value in -0.04, -6, v, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -0*z - 5*z. Let w(u) = -1 + z - 2*u + 9. Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 6 + 2)*(197585 + 554*z - 197585 + 1063*z) as d*z + w and give d.\nAnswer: -11319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**7*i)**(3\/5) assuming i is positive.\nAnswer: i**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-31)\/p*p**(-1\/11) assuming p is positive.\nAnswer: p**(-353\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (4\/12*90\/680)\/(10\/40)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12 * 29.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of b**4\/12 + b**3\/6 + b**2\/2 + 22*b + 2. Let n(q) be the first derivative of a(q). Calculate n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 134 + 170. Let j = 845 - f. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -32. Let b = -172 - -179. Suppose -8*j + i = -b*j. List the prime factors of j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53, 113, 185, 275, 389?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2*a**2. Suppose -4*k = 4*k - 160. Let i(g) = -k*g**2 + 52*g**2 + 2 - 2. Calculate t(i(u)).\nAnswer: -2048*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2936 + -2935. Let f = 3 - 3.5. Let u = 26.6 + -26. Which is the second biggest value?  (a) f  (b) h  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -2\/3  (b) -0.5  (c) -4\/25  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 2292880644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 2, 12, -16 in decreasing order.\nAnswer: 12, 3, 2, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 8000 (base 16) to base 14\nAnswer: bd28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (47*d**2 - 5*d**2 + 13*d**2)*(96 - 28 + 28).\nAnswer: 5280*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -15  (b) 5  (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13 + 35. Suppose 174 + 86 = 5*p. Suppose -p = -2*m + 2*u - 6*u, m + 5*u - 35 = 0. What is the lowest common multiple of m and w?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -2*b**2. Let k(m) = 2494*m - 4715*m + 2836*m. Give k(f(w)).\nAnswer: -1230*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from jjllqlxjmxjllojojljj.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*3*(-1 + sqrt(63)) + -2*(sqrt(1008) - (0 + 2*sqrt(1008))))**2.\nAnswer: -918*sqrt(7) + 18288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18532180300 rounded to the nearest one million?\nAnswer: -18532000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w - 5*y + 21, 3*w + y + 31 = 0. Is w smaller than -1\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 1:18 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15 - 9*f - 19*f - 45 + 106*f to p + r*f and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (-1 + -9 + 5 + -1 + 17).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3065 (base 7) to base 9.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c - 5*c + 42 = -2*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*l = -4*d + 4815, -3618 = -3*d + 3*l. Let k = d + -13242\/11. Suppose 0*g + 4*g - 15 = 5*a, 0 = -g + 2*a + 6. Is g less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2269 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1078 by 14.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 l, and 2 s when four letters picked without replacement from {r: 2, s: 9, l: 2}.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(4 + 2*sqrt(108) - sqrt(108)))**2 - (sqrt(15)\/sqrt(5) + -5 + 3 + sqrt(363))**2.\nAnswer: 680 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.0867 and 418341.\nAnswer: 36270.1647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1530\/2101357 or 1?\nAnswer: -1530\/2101357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/5*20\/(-6). Let d be l\/(-6)*(3 - 6). Suppose -6*s - 19 = -j - 3*s, -2*j - d*s + 14 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + s + 14, -2*h - 2 - 4 = -s. Let o = 4 + h. Let n be (-7)\/o + (-2)\/1. Solve -j + 5*p + 19 = 0, 4*p = -n*j + 6*p + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*y - 2*y - 2*y + (-4332 + 4332 - 124*y)*(-1 + 2 - 2) to the form b*y + x and give b.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -55 + 161. Let u = 164 - i. Let d = 58.00000067 - u. Round d to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1805723 + 2?\nAnswer: 1805725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4805.5 + 4806. What is the nearest to -1\/10 in 1\/28, -1, b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -29607, -29652, -29743, -29886, -30087, -30352, -30687?\nAnswer: -31098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4\/5 - 18287*u**3\/5 - 83466271*u**2\/5 + 251222403*u.\nAnswer: -u*(u - 15)*(u + 9151)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 170, 159, 144, 125, 102, 75?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*s**3 - s**3 + 4*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**3 + 4*k**2 + 1. Let l(o) = 28896*o**3 - 105952*o**2 - 26488. Calculate -158928*g(f) - 6*l(f).\nAnswer: -14448*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 649883076?\nAnswer: 2, 3, 54156923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nlbsllnbbl. What is prob of sequence bln?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/258 and 41\/220?\nAnswer: 28380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3476883 + 65*r**2 + 3476883.\nAnswer: 65*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7\/28*(-1 - -13) - -216. Suppose 4*n + m = -q, -q + 3 = -2. Let o = n - -194. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2575 or -18603?\nAnswer: -2575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -2*m**2 + 19*m - 18. Let i be z(8). Let g(y) be the second derivative of 0 - 5*y + 1\/2*y**4 - 1\/20*y**5 - y**2 + 1\/6*y**3. What is g(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 51, -122, -373, -654, -917, -1114, -1197?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*m**2 + 229*m**2 + 132*m**2 + 240*m**2 to v + c*m + n*m**2 and give n.\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(245)*-4 - sqrt(245))*-5 - 1*sqrt(245)*3*2)*3*6.\nAnswer: 4914*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 55296 divided by -2?\nAnswer: -27648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/12 and 85\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.009659095 to five dps.\nAnswer: -0.00966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5987*m + 891702 - 209184 = 0 for m.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 8*d - 5*d = -20, 5*u = -234*d + 359*d + 980 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 172951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1858 + 1887 + (-30 - -1) - (2 + 69)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 - 8*i - 2. Let j be d(9). Suppose j*h = 6*h + 70. Suppose w + 107 = 3*t, 0 = -2*t + 2*w - 4 + h. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33244500\/43 - -134987892301\/174580. Let r = k + 5\/812. Let a = 88 - r. Which is bigger: 1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 60885?\nAnswer: -1\/60885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 155450 * 1.4\nAnswer: 217630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -183.5 + 183.6. What is the closest to 19 in k, 4\/7, -4, -3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 72*g - 12. Let w(l) = -4*l + 1. Give -p(k) - 8*w(k).\nAnswer: -40*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 2*b)*(-1 + 1 + 1)*(2 + 0 - 4)*(2 - 4 + 1)*(3 - 3 - 5*b) as v + k*b + n*b**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 13 + 13 - 4*m + m + 2*m + (4*m - 4*m - 2*m)*(1 + 3 - 3))*(5 - 4 - 3)*(-6 + 0 + 0)*(m - 2*m + 5*m).\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-12 - 0 - (155 + -168))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 98305 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2431 a factor of 5423079662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -291 + 412. Let b(o) = -9*o - 42. Let l be b(9). What is the remainder when z is divided by 2\/(2\/l)*9\/(-27)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2 - 7*t**4 - 17*t**2 + 17*t**2 wrt t?\nAnswer: -28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.039 - 177.039. Let i = 176.9594 + d. Round i to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2c + a8855c?\nAnswer: a8858b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11111318 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*u + 276 = 180 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of -k**9\/52920 - k**8\/23520 + k**7\/8820 + k**6\/2520 + 5*k**4\/12 - 5*k. Let r(u) be the third derivative of q(u). Factor r(x).\nAnswer: -2*x*(x - 1)*(x + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 5710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 30481 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-20 + 4) - (-63 - -51).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 5*u**5 + 102*u**4 + 305*u**3 + 276*u**2 + 68*u = 0.\nAnswer: -17, -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 12\/5*r**2 - 36\/5 - 6\/5*r**3 + 6*r.\nAnswer: -6*(r - 3)*(r - 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12250000 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together -780901640 and -24.4.\nAnswer: -780901664.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -d139 (base 14) in base 4?\nAnswer: -20301033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -32\/177 + -9\/59. Which is the fifth smallest value?  (a) 0.01  (b) -1\/6  (c) -3\/2  (d) 1\/3  (e) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 702 and 351?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 155 + -155. Let n be 0 - 2 - 12\/(-2). Suppose -z - 3*h - 2 = 7, r = -z + n*h + 19. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-3)*x*x**(2\/3)*x*(x**(-1\/4))**(12\/5))**(2\/49) assuming x is positive.\nAnswer: x**(2\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 62*o**2 + 68*o - 313. Let q be x(63). Find v, given that 1\/2*v - 5\/2*v**3 + 3\/2*v**4 + 0 + 1\/2*v**q = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/400 and 23\/96?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -c + 6. Let h be (-32)\/14 + 4\/14. Let m(i) = 13 + 4 - 14. Calculate h*k(x) + 5*m(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 375078, 750187, 1125308, 1500447, 1875610, 2250803?\n\"Answer: x**3 + 375102*x - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 79c?\nAnswer: -797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 177*j**3 + 4*j**2 - 2*j + 60 wrt j?\nAnswer: 1062*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 6*g + 1. Determine o(-6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 75.19, -1, -3 in descending order.\nAnswer: 75.19, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 17, 4, 4375 in increasing order.\nAnswer: 3, 4, 17, 4375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 64692, 0.1, 4, 7 in ascending order.\nAnswer: -2\/3, 0.1, 4, 7, 64692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2427446, 4854894, 7282342?\nAnswer: 9709790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108 and 192?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1942124\/47 greater than -41322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2 + 2*i**4 + 2*i**4 + 0*i**4 wrt i?\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 834 = 104. Calculate the remainder when 95 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 522*n**5 - 2*n**2 - 121706 wrt n?\nAnswer: 31320*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/9*0)\/3. Let x(g) = -g + 25. Does 19 divide x(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -160*u + 12. List the prime factors of a(-2).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/735096 and -5\/9156?\nAnswer: 5145672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*u + 30*u + 248 - 1778 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22200012 = 4*c - 3*c + 2*a, 4*c - 2*a = 88800028. Suppose 2*t + 2*r - c = 0, -4*t + 28680658 + 15719350 = 2*r. Round t to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*m**2 - 13*m + 28*m - 13*m - 2*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23 - 17. Suppose -140 = o*q - 10*q. Calculate the remainder when (-2849)\/(-28) - (-1)\/4 is divided by q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 13 = 3*m + 17, 4*z + m = 94. What is the greatest common factor of z and 5784?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 300*f - 7574. Let w be j(26). Solve 2*h = -w + 218 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddzzdzdzdz. Give prob of sequence ddd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -10. Let g(z) = -23*z + z**2 - 16 + 22*z - 15*z. Let y be g(17). Which is the biggest value?  (a) y  (b) 2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1626 divided by 2294.\nAnswer: -813\/1147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 14*b + 28. Let o be s(-16). Let t(q) = -2*q**3 + 2*q**2 + 4*q + 3. Let n(p) = p**3 - p - 1. Calculate o*n(y) - t(y).\nAnswer: -2*y**3 - 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**5*l + 40*a**5 + a**2*l + a**2 + 13*l wrt a?\nAnswer: 120*a**2*l + 2400*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 168 and 1851600?\nAnswer: 12961200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 (base 3) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 4, -5, -17.\nAnswer: -17, -7, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -1922.\nAnswer: -1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 + (-32)\/(-12))*2\/(-8). Put 6, -0.3, -2.1, l in increasing order.\nAnswer: -2.1, -0.3, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, z: 4, p: 1, f: 1, i: 2}. Give prob of sequence pf.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -4810182 divided by -57954\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -21*j. Let z(s) = 20*s**2 + 1026*s + 4. What is z(p(a))?\nAnswer: 8820*a**2 - 21546*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*(5\/(-2) - -1). Suppose 2*p + 2*w - 4 = j*p, 3*p - 4*w = -10. Let v(m) = m**2 + 2. What is the least common multiple of 2 and v(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (62*u**2 - 63*u**2 - 1 - 10*u + 2)*(u**2 - 5*u + 5*u) in the form y*u**2 + l*u + v*u**4 + h*u**3 + o and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*o**2 + 16*o + 21*o**2 - 4*o**2 + 24 - 10*o**2.\nAnswer: 2*(o + 2)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most 1\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 27948*o - 1145973. What is n(41)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 6. Let s be y(-4). Suppose 0*p + p = v - 5, -2*v + s = 5*p. Solve -5*o - 4*l + v = 0, 3*l = 5*o - 2*l - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -704 (base 11) to base 16.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 175 and 78127.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -16 + -1012?\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -6617*r - 1733647. Give u(-262).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 54*c**4 - 603*c**3 + 83*c**2 - 1370308*c - 30.\nAnswer: 648*c**2 - 3618*c + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -x + 5*d, -2*d + 37 - 9 = 4*x. Suppose 0 = -18*q + x*q + 30. Suppose 2*u + 4 = 6*u, 3*v + u = 1. Solve 12 = -q*o - v*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 61. What is the tens digit of t(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 245017.9, -2\/27.\nAnswer: -2\/27, 3, 245017.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -53\/39 - -438\/13. Let h = -32 + z. Factor 2\/3*k**4 + 2\/3*k**3 + 1\/6*k**5 - 1\/3 - 5\/6*k - h*k**2.\nAnswer: (k - 1)*(k + 1)**3*(k + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -32*s + 24728, 6*j - 4*s + 24868 = 7*j. List the prime factors of j.\nAnswer: 2, 3, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1311, 2343, 3081, 3519, 3651?\nAnswer: 3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rxvrrjvlxalrarlavvvr. Give prob of picking 1 j, 1 v, 1 r, and 1 x.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 3) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29 or -89\/3?\nAnswer: -89\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 67 = -x + 3*m, 5*x - 145 = 3*m. What is the remainder when x is divided by ((-2)\/(-4))\/(1\/18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 261 - 234. Let u(l) = l**3 - 4*l**2 + 2*l + 1. Let s be u(4). What is the highest common factor of s and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 500, -101.\nAnswer: -101, 3, 500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22 - 13 + 49*g + 202*g.\nAnswer: 251*g + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate r**2*t**2 + 22*r**2 + 1126*r + 31498*t - 3 with respect to t.\nAnswer: 2*r**2*t + 31498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -9*v**3 - 15*v**2 + 33*v + 9. Let s(k) = -5*k**3 - 7*k**2 + 17*k + 4. Let f(x) = -6*d(x) + 11*s(x). Let m be f(12). Solve m*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 4.274466 months?\nAnswer: 0.3562055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/210860 and -89\/3089910?\nAnswer: 80337660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 4*v**2 - 4*v. Let a be n(-4). Suppose -b - 4*f = 0, 7*b - 4*f - a = 4*b. Suppose b*m - m - 141 = 0. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*b - 5*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22272)\/(-8352)*(-7)\/(-12)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6.9 - -4.5. Let k = 2.5 + m. Which is the second smallest value?  (a) -3\/5  (b) k  (c) -2\/15  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h**2 + 27*h - 23. Let c(a) = a**3 - 5*a**2 + a + 13. Let y be c(0). Give v(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-3\/8)\/w*w**(-5)*w)\/(w**(2\/9)\/(w**(-8\/3)\/w)))**(-35) assuming w is positive.\nAnswer: w**(23345\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35dd9e (base 15) to base 7.\nAnswer: 30625421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 11*q + 29*q - 7 - 3. Let a be w(7). Let u = a + -171. What is the highest common divisor of u and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 4*m + 1535, 3*n = 5*m - 7*m + 943. Suppose 5*r = 4*u + n, 4*u = -13*r + 8*r + 319. Which is greater: r or 62?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 9*g**2 - 10*g + 11. Let v be f(8). Let p = 4 - 1. Let r = p + -2. Which is the biggest value?  (a) r  (b) v  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 11 = -4*i, 3*g - i = 4*g - 3. Let a(q) = q**3 - 5*q + 9*q**2 + g - 3*q**2 + 3 - 8*q**2. What is a(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1788*m**3 - 7*m**2 - 85*m wrt m.\nAnswer: 10728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -96 - -100. Suppose -j*o + 0*o = 3*r - 26, -5*r + 5 = -o. Solve 0*d - 4*d - 13 = -s, 3*s - 5 = -o*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*v**2)*(2 - 2 + 1)*(-v**2 + 2 - 2) - 2*v**4 + 2*v**4 - v**4 + (3 + v - 3)*(-4*v**3 + 7*v - 7*v).\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 8*w**2 + 20*w - 7. Determine s(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 596834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 5*i**3 + 2*i**2 - 1. Does 7 divide g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 7*g**3 + 7*g**3 - g**3 - 11*g**3 to the form x*g + w*g**3 + c + k*g**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*z - 2088 = 107*z - 19*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2023230330 (base 4) in base 8?\nAnswer: 2135474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 89467497599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 157 and 1883017337.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000 (base 3) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.6 - 0.1. Let r = -1.97 + -0.03. Which is the nearest to -1?  (a) r  (b) p  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/(4 + (-3)\/1) - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**5*l\/(l*l\/l**(1\/7))*l*l**(-3\/2)\/(l\/l**(6\/5)) assuming l is positive.\nAnswer: l**(269\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 20*o + 141*o - 38*o)*(44*o**3 - 116*o**3 - 36*o**3) to the form c*o**3 + g*o**2 + a + r*o + j*o**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4850\/5441 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1389428mg to grams.\nAnswer: 0.0001389428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-25)\/(-15) - 1\/6. Which is the nearest to 1?  (a) l  (b) 3\/4  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4395 in 0, -1, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 15*j + 55. Let o(n) = 2*n + 8. Let x(t) = 20*o(t) - 3*p(t). Let y(c) = 14*c + 16. Let u(s) = 11*x(s) + 4*y(s). Give u(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 4*a + 5*i + 29 = 0, -a = -5*i - 17. Let n(d) = 5 + 11*d**2 + 9*d**2 - 24*d**2 - 20*d + 6*d**2 + 66*d. Let u be n(-23). Sort u, a, 3.\nAnswer: a, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7158006083 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (0 - 1) + -18 + (21 - 7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 2. Let u be y(-1). Suppose u*r = -5*o + 79, -r - 2*r + 51 = o. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.5  (b) -21  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -32 + 34. Solve z + 4 + 4 = 5*d, 0 = -j*d + 5*z + 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v. Suppose -4*n = -5*d + 29 - 11, 0 = -n + 3. Let l(k) = 2*k**3 - 2*k. Calculate d*g(f) + 3*l(f).\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 536359980 a multiple of 5312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13792.4 + 13792. Which is the nearest to 93?  (a) -3  (b) 1\/9  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-3)\/1)\/(-3)*5. Let y = 20 - 3. Let w = -12 + y. Is q equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -424*b**2 - 19*b. Let m(f) = 421*f**2 + 17*f. Calculate 6*c(p) + 7*m(p).\nAnswer: 403*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -101\/1197  (c) 0.3  (d) 0.1  (e) 0.08  (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-118)*96\/(-15360)*80?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110024849?\nAnswer: 11, 10002259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 5:45 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 3*i - i + 3124, -4*a - 2*i = 3118. Let v = -1246\/45 + 99\/5. Calculate the common denominator of ((-10)\/(-6))\/((-13)\/(a\/(-8))) and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 8*g + 11. Let q be a(-9). Suppose -2*t = -6*t + 12. Solve 4 + 6 = t*o - 5*v, 15 = -q*o - v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, g: 1, f: 18}. Give prob of picking 1 g and 3 f.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 0. Let s(c) = -6*c + 5. Let f(h) = 5*h - 4. Give b*f(o) - 2*s(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1279852*t - 639958*t - 639899*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + 0*l + 0*l - 3*l)*(-l**3 + l**3 - 2*l**3).\nAnswer: -6*l**5 + 6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 28\/15 and ((-5)\/90*7)\/1.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r**3 + 38*r + 5. Let t(i) be the first derivative of i**4\/2 + 19*i**2\/2 + 3*i - 4476. What is -3*o(y) + 5*t(y)?\nAnswer: -2*y**3 - 19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**2\/3 + 132*m - 397\/3.\nAnswer: (m - 1)*(m + 397)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (-1 + 5 - 1) - 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(2\/5))\/f)**(3\/10))**(1\/13) assuming f is positive.\nAnswer: f**(-3\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 100 = 108 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3\/(-3))\/((-1)\/10). Suppose -5*b - 3*n + o = -9, n = b - 7. Let k(m) = 4*m**3 + 3*m - 9. Let y(c) = -2*c**3 - c + 4. What is b*y(t) + 2*k(t)?\nAnswer: -2*t**3 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -913*a + 17565. Give b(19).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 1 = -l + 16, -5*l - 4*v + 33 = 0. Suppose -l*t - 5*q = -45, 0*q = -t + 4*q + 29. Suppose t*k - 44 = 12*k. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 3*g - 4180 = -4141, 0 = j + 2*g - 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -315 - -46604124?\nAnswer: 46603506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) 0.1  (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -202\/5, 2, -44, -7\/4, -0.3?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1463 * 0.2\nAnswer: -292.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 11, s: 2}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (512\/80)\/(17\/15 - 1). Let g = s + -45. Solve 17 + g = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 9*j + 1. Let n be ((-1)\/(-2))\/(1\/10). Let i = n + -4. List the prime factors of t(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15662304.\nAnswer: 2, 3, 7, 17, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6 - -7. Suppose 4*i = -3*j + 83, 0*i - 4*i = -j + 49. Let r = j + y. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 719462213 a multiple of 507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144 and 24?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + 2 + (sqrt(18) + -4 + sqrt(18))**2 + sqrt(2) - (sqrt(24)\/(sqrt(6)\/sqrt(2)))\/(1*sqrt(484)).\nAnswer: -485*sqrt(2)\/11 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**(-19))**44 assuming w is positive.\nAnswer: w**(-836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2247 + 9?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 424 - -122?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32*u + 81*u - 39*u - 5 - 5*u**2.\nAnswer: -5*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1)\/(o**5\/o)*o**(-1\/7)\/(o*o**8\/o))**38 assuming o is positive.\nAnswer: o**(-3496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.029 in 0, -0.0763, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (-2)\/(1 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from {z: 3, k: 3, m: 9, i: 5}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 q when two letters picked without replacement from {q: 2, i: 2, t: 1, a: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 24 + -14. Suppose -4*i = i - l. Suppose i*j = 3*s - 20090, -2*s - 2*s - j = -26805. What is s rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23082 is divided by 5770.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0469253336 + -23.\nAnswer: -23.0469253336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 4 = -0*t + 2*t, -4*t + 4*f + 20 = 0. Suppose t*z + 0*z = 3*o + 15, 3*z + 5*o - 55 = 0. Suppose 147 = z*n - 123. Solve -5*j + n = 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 3 - 3 + 19*d - 8*d. Let p(b) = -2*b. Give i(p(o)).\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -1320430 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38*w - 174 - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30815455 is divided by 66?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -6. Suppose -j = -5*u - 5, -752*j + 2*u + 9 = -753*j. Sort o, -1, j in ascending order.\nAnswer: j, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*v - 3 + 3)*(1 - 2 + 2)*(6 - 3 - 2)*(12*v**2 - 28*v**2 - 18*v**2) as w*v**3 + b*v**2 + x + a*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -194 + 197. Is 14 a factor of 1562\/14 - -9*q\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 116*z**3 - 120*z**3 + 0*z**2 + 0*z**2.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*p - 7*o + 1471 - 11028 = -2*o, 2*o = 2*p + p - 175 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwwclpwwcwlpsp. Give prob of picking 1 p and 1 c.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1126*i + 196*i = -702 + 2024. Let h(q) = -9*q - 1. Let k be h(1). Sort k, i, -7 in increasing order.\nAnswer: k, -7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 111*g**3 - 37*g**3 + 23*g**3.\nAnswer: 97*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - (-45 + 33 + (-2 - -8 - 1)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 2*t - t)*(4*t + 3*t - 6*t) + 6*t - 6*t + 21*t**2 + (14*t - 34*t + t)*(-11 - 5*t + 11).\nAnswer: 118*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 7 + 10 + 2*w)*(8 + 7 + 4 + (-2 + 3 - 2)*(2 - 7 + 2)).\nAnswer: 44*w - 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22 - 28784a?\nAnswer: -28786c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -3. Let i(v) = -3*v - 2. Let b be i(-2). Solve 0 = b*g - q*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**3*s*s\/s**7*s*s)\/(s**(-1\/2))**40 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 352091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26948701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 215 + 397 = 68*t. Suppose -3*b = 5*r + 34, -2*r - 1 = -b + 6. Put 2, t, b in descending order.\nAnswer: t, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 4*o - 10. What is d(8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-32)\/(-6) - (-1 + 3) and 1*(1 - 0) + (-4950)\/440.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*(sqrt(8) - (sqrt(8) + 3*sqrt(8) + sqrt(8) + sqrt(8))) + (sqrt(8) - sqrt(96)\/(sqrt(12) + sqrt(192))))\/((5*sqrt(24)\/sqrt(3))\/(-2*sqrt(2)*6)).\nAnswer: 3888*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + k - 3*k)*(465*k + 336*k - 1035*k + 463*k).\nAnswer: -1145*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/339 or -1?\nAnswer: 1\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/5  (b) -4  (c) 11\/10  (d) -0.4  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10857\/52 + 2711\/13. Which is the second smallest value?  (a) 4  (b) 2  (c) -5.26  (d) g  (e) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 684 - 691. Let m(x) be the second derivative of 2*x**3\/3 + 8*x**2 - x - 4. What is m(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.537 - -12.013. What is g rounded to zero dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3994515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -47743, -95228, -142699, -190150, -237575, -284968, -332323, -379634?\n\"Answer: j**3 + j**2 - 47495*j - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/26 + 89\/13. Suppose 4*a = 5*l - 8, -4*a = a - 2*l - u. Suppose -3*b + 2*c = -b, a*c - 6 = 0. Solve 20 = -b*j + 4*j - 3*r, 0 = 4*j - 5*r - 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) - (0 + sqrt(432)))*-4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1188 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: Let k = 1942413 - 486393. Let o be 4\/(-26) - (k\/(-13))\/10. Round o to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-18)\/(-3) - (-48)\/24. Solve 0 = -3*d - 4*a + 19, -x*a = 5*d - 4*a - 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7233.\nAnswer: 3, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (579 - 558) + -1*22. Let b be (2*4\/8)\/((-1)\/4). Let n be 0 + 1 + -5 - -2. Put b, n, o, 9 in decreasing order.\nAnswer: 9, o, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/(-8) + (-104)\/(-208)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -4. Suppose -4*t = v + 43, 5*v + 55 = 13*t - 17*t. Let g be -1*15\/t*-2. Do a and g have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v = 38*v + 39*v - 594944. Does 166 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -1. Does t = 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/2))**(-31)\/(x**(1\/7)*x*x\/((x\/(x**(-6)*x*x*x*x))\/x))*((x\/(x*x**0*x*x*x))\/(x*((x\/(x*x\/x**1))\/x)\/x))**(-9\/5) assuming x is positive.\nAnswer: x**(-843\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -1 + 0 + 12 + -13?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (18\/12)\/((-6)\/(-8)). Let g be i\/(-4)*(-547 + 3). Is 2\/(-4)*g\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -88874, -88871, -88858, -88829, -88778, -88699, -88586?\n\"Answer: q**3 - q**2 - q - 88873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*m - 102, 204 = 4*m - 15*c + 10*c. Which is greater: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 107 minutes after 9:09 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 156 divide 59340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 31 = 5*r + 11, -m - 4*r + 7 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0066182 to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 23 - (24 + 23) - -27. Solve -s = 3*l - 10, -h*l - 173*s + 18 = -176*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144*v = 123*v - 193*v + 962 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 101342110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -5) + -9 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 65\/116 + -25\/174. Let o(j) be the first derivative of -j**3 - d*j**4 - 1\/15*j**5 + 36 - 7\/6*j**2 - 2\/3*j. Determine w so that o(w) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 732694480*g**3 - 12934945 with respect to g.\nAnswer: 2198083440*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((3*c + 0*c - 5*c)*(-5 + 1 - 1) - 3*c - 2*c + 7*c)*(-2*c + 4*c + 0*c) as x + s*c**2 + p*c and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4\/6)\/(6\/54). Solve -m = 3*p + 12, 3*p - m + r = -12 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-36*b - 51*b + 21*b)*(4*b**3 - 2*b**3 - b**3) + 3*b**3 + 3*b**4 - 3*b**3 as v + d*b**4 + l*b + i*b**2 + z*b**3 and give d.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.0973 + -1.5973. Which is the third smallest value?  (a) -2  (b) 0  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3903.5897 plus -0.3?\nAnswer: 3903.2897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p + 1. Let s(x) = -x. Determine -2*g(q) + 3*s(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-112)\/35)\/(592\/2220)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 94*q + 11013. Is v(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -5*d*g*m**2 + 428*d*g + 264*d*m**2 - 2*g*m**2 + 14*m**2 wrt g?\nAnswer: -5*d*m**2 + 428*d - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3*g - 52 = 0, 7 = -b - 4*g + 39. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 3*c)*(-111*c + 298*c - 2275 - c**2 + 2276) in the form i + m*c**2 + v*c + n*c**3 and give m.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 497, 2046, 4555, 8024?\n\"Answer: 480*h**2 + 109*h - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*c**3 - 91714*c + 91714*c - 22*c**3 - 4*c**3.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 7*l - 11. Let b(j) = 10*j - 16. Let t(h) = 5*b(h) - 7*w(h). Let f be t(5). What is the units digit of f*2\/(-6)*-21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 45677?\nAnswer: 456770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 16*z**3 - 2*z**2 - 852539*z - 27596235.\nAnswer: 48*z**2 - 4*z - 852539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0  (b) 1\/77  (c) -99  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k + 21. Suppose 5*f = -c + 47, -5 - 2 = -f - c. Let o be y(f). Is -20 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 172*a**2*v**5 - 191732*a**2*v**3 - 24246*a**2*v + 6*a*v**2 + 3*a + 64 wrt v?\nAnswer: 10320*a**2*v**2 - 1150392*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llgux?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -369979 - -29?\nAnswer: -369950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/6 - (-4)\/12. Suppose b = -2*h - 2 + 10. Suppose -h*l + 77 = 1. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(96)*1*-6)\/(sqrt(48) - 6*sqrt(144)\/sqrt(3)) + 1.\nAnswer: 1 + 24*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -98?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-44)\/(-174)) + (-299)\/(-3289).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -18148, -18385, -18770, -19303?\n\"Answer: -74*d**2 - 15*d - 18059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**4 - 113362*j**3 + 3338389861*j**2 - 7122200042100*j + 3947238211702500 = 0 for j.\nAnswer: 1131, 55550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 26*n**2 - 17*n + 22. Let q = 283 - 270. Is v(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h\/(h*h*h\/(h\/(h*h**(-4)*h))*h*h)*h\/(h\/(h\/(((h*(h**7\/h)\/h)\/h)\/h))))\/(h**(-5)*(h*h**4)\/h) assuming h is positive.\nAnswer: 1\/h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 76880 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10111001 (base 2) to base 7.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 1533 + 399 = -48*g. Calculate the remainder when 4702 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m + 43*m**2 - m**3 - 55 + 68*m**4 - 45*m**2 - 66*m**4 in the form h*m**4 + a*m + w*m**2 + o + q*m**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*s + 20 = 0. Suppose 21 = 3*h - 15. Suppose 6*g = 48 - h. Calculate the remainder when s is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -351032000 rounded to the nearest 1000000?\nAnswer: -351000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/2)\/((26\/2)\/(46\/138)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/(-4) - ((-5)\/(-4) + 1). Let w be (-1)\/t*(-8)\/(-2) + -3. Let y(p) = -p**2 - p - 2. Let f(o) = -o + 1. Let h(x) = w*f(x) + y(x). Give h(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.05 or -2821.53?\nAnswer: -2821.53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2242768 divided by -176.\nAnswer: 12743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1053 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i**5 + 9*i**4 - 13*i**3 - 29*i**2 + 12*i + 20 = 0. Calculate i.\nAnswer: -10, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -18*l - 2*l**3 + 323 - 19*l + 8*l**2 + 4*l**3 + 35*l - 314. Let o(v) = v**3 + 3*v**2 - v + 3. Give -3*b(n) + 8*o(n).\nAnswer: 2*n**3 - 2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -451, -892, -1331, -1768, -2203, -2636?\nAnswer: -3067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*y = -4*t - 44*y + 12, y = -5*t + 15. Suppose 5*v = -t*o + 11, -o - 4*o = 3*v - 13. Let q(m) = -4*m**2 + 3*m - 1. Calculate q(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1.819, 5, -2, 1.3 in decreasing order.\nAnswer: 5, 1.819, 1.3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 614 - 612. Solve -4*c - p + k = 0, c + 4*c + 5*p = -5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37012838 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*n - 58*n = t - 9, 12 = -2*t + 2*n for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 2.5, -5, -2\/245?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12677*m**2 + 12676*m**2 - 25355*m**2 + 531.\nAnswer: -2*m**2 + 531","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -121a + -a349?\nAnswer: -10568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10229 = -2*l + 10239 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-210)\/(-91))\/(-2)*(-1)\/(-5)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484*v**2\/3 + 569848*v\/3 + 70620 = 0. Calculate v.\nAnswer: -1177, -45\/121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 220, 0, -8 in decreasing order.\nAnswer: 220, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 148022 and 3924?\nAnswer: 2664396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3398)\/(-10) - 21\/(-105). Suppose -2*y - j = -f, -3*f + 6*f + 5*y = 1009. Is f a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -422601, 5, -3.\nAnswer: -422601, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 3*x + 247, -2*p - 44 = -4*x - 148. Suppose -z = -c - 14, c - 3 = -4*z + 38. Solve -z*u = -u + p for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1093 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1156897168 to the power of 1\/5, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -698*c - 375. Is z(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 l when two letters picked without replacement from fxxxuxxffxll?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 55*k + 890 - 890. Let v be y(1). What is the highest common factor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/7*(-21 - (-9288)\/432)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*a - 3*a + 6*a)*(-4*a**2 + 3*a**2 + 2*a**2).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-2))\/(3075\/9225)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3115 and -7.626.\nAnswer: 2.375499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 125 - 168. Let j = b + 58. Suppose 26 = d - 19. Calculate the highest common factor of j and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 3 - 2)*(8 - 8 + 5*h) + 2*h + 3*h + 0*h + (4 + h - 4)*(-1 - 3 + 5) + (-10 - 7 + 1)*(0*h - 2*h + 3*h) to b*h + v and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-108)\/(-15))\/(52\/(-234)*9\/10)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1\/6, 1.3, -0.1, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 91.85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.62  (b) 0.5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 605 and 240295?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*z = -21*z - 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(475) + -2 + sqrt(475))*-5)**2 - ((sqrt(19) + sqrt(19) + 0 + -3)*-1)**2.\nAnswer: -988*sqrt(19) + 47515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 420.4041 and -191352.01.\nAnswer: -190931.6059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -99, -207, -345, -513, -711, -939?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*d**2\/3 + 11495*d\/9 - 479\/9.\nAnswer: (d + 479)*(24*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -742a35 - -5?\nAnswer: -742a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35505 = -4*i + 3*k, 4*i - 4*k - 22705 = 12795. Round i to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 8*w**2 - 3 + 6 + 6*w - w**3 + 3*w. Let f be z(9). Let s be (0\/f)\/(0 + 2). Solve s = -5*p - 25, 2*o + p = -o - 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31837?\nAnswer: 13, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 2*q - 4. Calculate the lowest common multiple of (2\/(-1) + 13)*2 and a(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 AM and 7:40 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010191 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 - -5. Suppose -2 = -c*r + 4. Suppose -p = w - 12699998, -5*w + 3*p + r*p + 63500010 = 0. Round w to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 + -33. Which is bigger: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (7 - 10) + (-3 - -9) + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000122553 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 70 divide 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**3 + h - 3*h**2 - 4*h**2 + h**3 + 1 - 6*h**3 + 2*h**2 to b*h**2 + o*h**3 + g + p*h and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**2 + 3. Suppose -10 + 8 = -g. Let f(k) = -61 - 2*k**g + 3*k**2 + 68 + 4*k**2. Suppose -20 - 25 = 5*o. Calculate o*d(b) + 4*f(b).\nAnswer: 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*n + 20*n - 90558. Is 27 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.214*2625.\nAnswer: -561.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8027917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14.3 - -2.94. Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q. Let s(k) = 5352*k + 21. Let b(l) = -1071*l - 4. Let c(u) = 21*b(u) + 4*s(u). Determine o(c(x)).\nAnswer: 1083*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 149 minutes before 10:36 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 229*p + 6*p - 3995 = 0 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g + 1058*o - 1056*o + 176228, -5*g = -2*o - 220286. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5135*s**4 - 2*s**2 + 45*s - 3810168 wrt s.\nAnswer: -20540*s**3 - 4*s + 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from {r: 10, g: 9}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 301160.832 and 0.3?\nAnswer: 90348.2496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 83589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t + 17. Let o be m(-11). Suppose -17*n + o = -14*n. List the prime factors of -3 + (1 + n - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -190 = 9*p - 811. Suppose 73*o = p*o + 1900. What are the prime factors of o?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.4 bigger than 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24137 - 24140 + 48277 + 3*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {w: 7, n: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -286.9998635 - -287. Round v to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-18)*-4)\/((-100)\/(-3) + -189 + 199)?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (3 + -56 - 28).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-2 - 0)*2. Let b(s) = -16*s + 74. Calculate b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26557229 + -10248.\nAnswer: -26567477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*g - 20*g + 108*g = 3949120. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -222*u = -219*u + 108. What is the units digit of ((-5736)\/u)\/(4\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 690, 3, -5, 46.\nAnswer: -5, 3, 46, 690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5401, -21466, -47955, -84634, -131269, -187626, -253471, -328570?\nAnswer: -412689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxcfaxafxxeexxxfx. Give prob of picking 1 f and 1 e.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 954558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21678865 >= 21678865?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 9:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -130*x**4 + 285*x + 1 - 419*x + 142*x + 2 in the form d*x**2 + t*x**4 + o*x**3 + z*x + a and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**3 - 2*m**3 + 2*m**3 + 0*m + 0*m + m**3 + (0*m + 4*m + 0*m)*(-3 + m**2 + 3) - m**3 + 2*m**3 - 2*m**3 + (2*m**3 + 0*m + 0*m)*(1 - 3 + 4).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q + 5. Give y(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2559 + -603. Let i = l + 3182.31. Round i to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 2\/3*w**4 - 11\/5*w**5 + 2 + 30*w - 4*w**2 + 22\/3*w**3. Factor x(o).\nAnswer: -4*(o - 1)*(o + 1)*(11*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7 - -12)*(0 - -1). Suppose -n*p - 5 = -55. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 475 a factor of 246341460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 14875329815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) + -1 + -3 + sqrt(171)\/(sqrt(27)\/sqrt(3)) - (((-2*sqrt(228))\/sqrt(12))**2 + sqrt(2736) + 0)*-3.\nAnswer: 38*sqrt(19) + 224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i + 4*w - 158, 5*w - 6*w = -2*i + 109. Let h be (18\/i)\/((-1)\/3). Suppose -3*q + 61 - 154 = 0. Is q not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fsx when three letters picked without replacement from pxpfffspsf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, o: 2}. What is prob of picking 1 l and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.06?  (a) 1551  (b) 9  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -1868*l - 32484. What is q(-17)?\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45325*m + 45324*m + 9*m**2 + 5*m**2 - 10 - 90649*m.\nAnswer: 14*m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + p = -23, -2*x + 3*p + 14 = -6*x. Let j = 21 + x. Let g(l) = -l**2 + 17*l - 13. Let s be g(j). Solve s*t + 10 = -5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mpmmmmmppmmpp. Give prob of sequence mpm.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 454 - 139. Suppose -3*o - 2*o + l = 0. What is the units digit of (-3)\/4 + o\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of -o**4\/12 + 7*o**3\/6 - 3*o**2 + 2*o. Let i be q(7). What is the units digit of (-6)\/4 - 63\/i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 297578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2\/9 - 32*n\/9 = 0. Calculate n.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 113809*u**2 - 705646.\nAnswer: 227618*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2330 (base 4) to base 10.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.1 minus 66?\nAnswer: -68.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 88347?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of q**5\/20 + 7*q**4\/12 - q**3\/3 - 9*q**2\/2 - 5*q. Let m be o(-6). Let x = -3 + m. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6698547 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**2. Let k be z(-1). Let b(c) = 0 + k - 2 - 5*c. What are the prime factors of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 88.9038mm to micrometers.\nAnswer: 88903.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -5 + 1*(1 + 6). Suppose -m - 22468 = -4*u, 4*u - a*m - 33215 = -10751. Suppose -3*d + s = -d - u, 8417 = 3*d + s. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2387*o + 8 + 2388*o)*(0*o + 0*o + 3*o**2) as s*o + z*o**3 + k*o**2 + y and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54757559 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 56079058 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4 - (0 + (-1 - 2 - -8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -5*d**2. Let r(u) = -3*u - 4. Determine o(r(v)).\nAnswer: -45*v**2 - 120*v - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*i**4 + 96 + i**3 - i**2 - 96 + i as b*i**3 + g*i + o*i**4 + q*i**2 + c and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9072 and 17692752?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 9:04 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9 + -12.5. Let o = h - 1.5. Which is the second biggest value?  (a) -0.1  (b) -3  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 20*r**3 + 7*r**2 - 16*r + 7. Calculate the remainder when 1847 is divided by t(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 2, x: 3, s: 3, f: 1, g: 1, k: 3}. Give prob of sequence fsx.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + -1)\/((-20)\/(-140)). Let u(w) = -2*w. Let b be u(-3). Calculate the common denominator of (1*87\/b)\/c and -93\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62511904918 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 9:22 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -1. Let i be (-18)\/(-4)*(1660\/(-1440)*-12 + -14). What is the nearest to s in -5, 1\/4, -3\/8, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = -3*g - g + 10, -25 = -4*g + b. Suppose 0 = g*i + 2*n - 181, -2*n - 28 = -i + 1. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1348 + 42*z - 43*z + 1348.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 5*w = 0, -4*j - 4*w = -2448. Is j a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 8*m**2 - 2*m - 5. Let o(l) = 23*l**2 - 6*l - 14. Suppose -b - 4*b = -45. Suppose 22 + 131 = b*w. Give w*i(q) - 6*o(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3*w**5 - 6729*w**4 + 80478*w**3 - 361746*w**2 + 723087*w - 542133 = 0.\nAnswer: 3, 2231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -51?  (a) -10710  (b) -1  (c) -20  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3364730, 6729496, 10094262, 13459028, 16823794, 20188560?\n\"Answer: 3364766*f - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b - 3. Let c be a(6). Let n be (-6)\/(c\/1 - 5). Solve n = -5*w + 3*m, -3*m = 3*w - 4*m + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n + 12 = n. Suppose 0 = d + 4*l - 32, 0 = -l - 2*l + n. Calculate the remainder when d is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5839584 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 411250677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3407, -3460, -3523, -3590, -3655?\n\"Answer: o**3 - 11*o**2 - 27*o - 3370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-48)\/(-72))\/(((-16)\/2)\/2)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 1655200015?\nAnswer: 1655200016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that q**2 - 6*q = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 254516541 to the power of 1\/4, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -54, -74, -62, -18, 58, 166, 306?\n\"Answer: 16*c**2 - 68*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 AM and 7:17 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 189*g - 9*g**2 - 365*g + 187*g - 1 - g**3 - 3*g**2. What is k(-13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 4*d - 4. Let p be w(2). Suppose -20 + 4 = -p*k. Solve -l = k*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.20023124 to 3 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12 + 67 - -12) + (15 + -17 - 8).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.204942mm in micrometers?\nAnswer: 204.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7}. Give prob of sequence xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -61 - -65. Let b = v + 49. Let z = b + 45. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 286343251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-3))**(-2\/3)*(i**3\/i)**(-29) assuming i is positive.\nAnswer: i**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67713 is divided by 589.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -46\/5 - -9. Let v = 103546 + -103548. Which is the nearest to v?  (a) f  (b) 1\/10  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l - l**2 - 5 - 6*l + 8 + 3*l. What is x(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 - -10. Suppose -5*r + 3*c = -152, x = 4*r - 4*c - 95 - 25. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 1:18 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 m when three letters picked without replacement from {f: 2, v: 4, p: 1, m: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 67580299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 63071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5746638605.\nAnswer: 5, 17, 233, 290161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -3*p**2. Let f(i) = 1913*i**2. What is f(d(o))?\nAnswer: 17217*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 247*h + 252*h - 156*h to the form b*h + v and give b.\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**2 + 9*m - 3. Let l be y(7). Let d = l + -15. Which is the closest to 1?  (a) 1  (b) 3  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -327 - 0?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (8\/6 - 2) + (-37233)\/(-81). Let i = j + -253. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 28 or 26?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2049199\/10049176 - 2\/66113. Calculate the common denominator of 13\/114 and t.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 2*i = -7*i - 12, -5*d + i + 30 = 0. Suppose 56 = -2*j + d*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 143\/238 + -12\/119. Let u(t) be the first derivative of 0*t**4 - 7 + 0*t**5 + t**2 + 0*t - d*t**6 + 0*t**3. What is the second derivative of u(x) wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/(-25))\/((-203)\/14210)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-18)*(2 - (45 + -7 - 2)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, u: 5, p: 6, h: 1, w: 1, b: 4}. What is prob of picking 3 l and 1 h?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6038 + -3709. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4836494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - 3*m = -4*v + 122, -m = -v + 31. What are the prime factors of v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b = -5*g + 215 - 221, -3*b - g = 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**1)**(-1\/12))**(-25)*((p*p\/((p**(-1\/2)*p)\/p))**31)**(1\/24) assuming p is positive.\nAnswer: p**(85\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*j + 107*j + 336*j**3.\nAnswer: 336*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1236 and 14469234.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 15*h**2 - 2*h - 21. Let q be z(-15). Suppose 0 = 2*o + 5*a - 61, 2*o - 32 - q = -a. Suppose t = -5*t + o. Solve -f - t = -0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -312, -327, -348, -369, -384, -387, -372?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84450 and 2769960?\nAnswer: 13849800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 2 x, and 1 v when four letters picked without replacement from vxxeixivhx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 87807 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: Sort -819, -5, -407 in descending order.\nAnswer: -5, -407, -819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 5*r. Suppose r = 5*n - 23 + 3. Suppose 5*z = -y - n, 2*y + z = 3*z + 40. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 + 9*m**2 + 11*m. Let t(s) = 4*s + 1. Let a be t(8). Suppose 7 = 4*w - a. Let v be d(w). What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -12.5. Let l = -3 + -2. Which is the biggest value?  (a) l  (b) -2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 7*t. Let u be n(8). Let a(h) = 3*h**2 + 3*h - 5. Is a(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = -7*x + 30. Let y be (-3)\/(-6)*(-8)\/x. Is y at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r = r - 68. Suppose r = x, -3*x - x + 9 = j. Let f(o) = o**3 + 6*o**2 - 10*o - 9. What is f(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 5. Let b = k - 4. Let r = -13 + 8. What is the nearest to b in 3\/5, 4, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -16495, -16393, -16289, -16183, -16075?\n\"Answer: f**2 + 99*f - 16595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 165150 and 990.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 1)*(-3*d + 6*d - 2*d)*(0 - 4 + 3) in the form z*d + t and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 + -6. Let c = 18 + b. Let p = 43 - c. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6312654, -6312653, -6312652, -6312651, -6312650, -6312649?\nAnswer: -6312648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3088493?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*b - 13*b + 4*b)*(b + 18 - 18)*(-14 + 4 - 42) in the form s + x*b + p*b**2 and give p.\nAnswer: 1040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((-2*sqrt(170) + sqrt(170) - sqrt(170)) + sqrt(170))*1 - sqrt(170) - 3*1*sqrt(170))\/(sqrt(30)\/sqrt(3)*6 - 2*sqrt(160)).\nAnswer: 3 + 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 4*c**2 + 2*c - 5. Let a be f(4). Suppose -23*i + 20*i - 25 = -g, -2*i + 10 = 2*g. Solve w = a*w + g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -534*m - 231 = 105*m - 14289 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 181138327?\nAnswer: 5279, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*i**2*s**3 - i**2*s**2 + 51*i**2*u**2 + i*s**3*u**2 + 70*i*s**2*u**2 wrt i?\nAnswer: -24*s**3 - 2*s**2 + 102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13\/((-468)\/(-27)))\/((-7659)\/(-184)).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 82836*w + 4638842. Calculate k(-56).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**3 - 178*m**2 + 183*m - 572. Determine t(88).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -2*h + 478, 4*h - 506 = -4*r + 414. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 5*j**2 + j. Let k be s(-1). Suppose -w = -k*w. Sort 3, w, -1 in ascending order.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 107 is divided by 18*(6\/(-8))\/(18\/(-8)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = -2*s + 6, 2*i + 3 = 3*s - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 45?  (a) 4  (b) -0.2  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 + (55 - 63) + 11 + -6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of 0*r**5 + 3\/10*r**6 + 0*r**3 + 0*r**4 + 0 + r**2 + 12*r. Differentiate d(o) wrt o.\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10*(-7)\/(-84))\/((-3)\/(-18)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(180) - -5*((sqrt(180) - (sqrt(180)*-5 - sqrt(180)) - sqrt(180)) + sqrt(180)))\/sqrt(4))\/(sqrt(81)\/((sqrt(9)*5 - sqrt(9))*2)))**2.\nAnswer: 414720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0 - (8 + -7 + -46). Calculate the highest common divisor of 27 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**0*t*t)**(-2\/47)*((t\/(t*t**(-2)))\/t)**(32\/7))\/((t*t*(t**(3\/2)\/t)\/t*t)**30)**40 assuming t is positive.\nAnswer: t**(-985524\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that 3\/2*w**4 + 0*w + 290400*w**2 + 0 - 1320*w**3 = 0.\nAnswer: 0, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 2*o = 0. Suppose -4*c = -13 - 7. Suppose o*y - y - m = -2, y = -c*m - 2. Calculate the lowest common multiple of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 88.9 - 89. Is -21 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 81 and -152.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -3129*u + 1566*u + u**2 + 1558*u. Let f(t) = 2*t. Give b(f(w)).\nAnswer: 4*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15767479 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -11844005.3 to the nearest one thousand.\nAnswer: -11844000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Is 11211984 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f - 894 - 24 = 0. Suppose 412*u = 418*u - f. Does 2 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 2166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.055 + 51.945. Let w = u + -47. What is the nearest to 1.8 in -0.3, w, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b. Let m be j(1). Let a(g) = 28*g**3 + g**2 + 2*g - 1. Let h be a(m). Suppose 11*o - 14*o = -h. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*2\/5*-2?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/19378 and 49\/8?\nAnswer: 77512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(5) + -1 + sqrt(5))**2 + sqrt(5) - (sqrt(5) + 3*sqrt(15)\/sqrt(3))) + 0.\nAnswer: -7*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -6*j**3 + j**2 + 215*j - 891. Calculate f(4).\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-2) - 1)*24*(-20)\/(-7800)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4958 + 4954.939. Let g = o - -0.061. Which is the fourth biggest value?  (a) g  (b) -1\/6  (c) 4  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - (409590\/259)\/(-54).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2163181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-33)\/(-132))\/(845\/260).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6678782.\nAnswer: 2, 11, 303581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 11, -9, 0 in ascending order.\nAnswer: -9, -2, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*q = -3*q - 4*h + 14, -q = h - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -12, 6, -3, -2, 1, -1771 in increasing order.\nAnswer: -1771, -12, -3, -2, -1, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**4\/3 + 58*y**3\/3 - 124*y**2\/3 = 0. What is y?\nAnswer: -31, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13343321 (base 6) to base 3.\nAnswer: -211211011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2241 - 0?\nAnswer: 2241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -b**3 + 17*b**2 - 5*b + 58. Determine p(17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -269 - -534. Let c(f) = s - 265 - f. Let k be c(-5). Solve k*a - 5*n = 30, -4*a + 6 = 4*n - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1708 is divided by 139?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*y - 4*b - 9 = -15*y, -4*y - 2 = -3*b for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -94 bigger than -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + p = 40. Suppose -k - k + p = 0. Let d be 7\/(-9) - k\/90. Which is smaller: -6\/5 or d?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 99 + -91. Suppose -t = -2*y + 3*t + p, -1 = y + 3*t. Sort -20, y, 5.\nAnswer: -20, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = 4*j + 56. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.02, 0, -2\/5, 5\/73, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2*o**3 - o + 2. Let j be d(2). Let h = j + -12. Calculate the remainder when 15 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 12:36 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 407236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in y**3 + 15*y**3 - 15*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*-5*sqrt(5) + (sqrt(10)\/(-4*sqrt(2)))**2 - (2 + 4*-2*sqrt(245))**2.\nAnswer: -250939\/16 + 199*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/5380 and -115\/189229664.\nAnswer: 946148320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10\/9, -0.2, -3\/8 in decreasing order.\nAnswer: 10\/9, -0.2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 PM and 7:00 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - 1. Let u(s) be the third derivative of -13*s**5\/12 - 26*s**3\/3 + 189*s**2 + 2. Calculate -52*i(r) + u(r).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 6*q**2. Let p(v) be the second derivative of -v**3\/6 + 8*v. What is p(m(w))?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 428 divide 400467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**2 - 7*l + 2. Let q be v(-7). Suppose -151*c - 54 = -148*c. What is the units digit of -1 + c\/(q - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand w - w - 2*w**2 - 3*w**2 + 5*w**2 - 3*w**2 + (-w - 3*w + w)*(3*w - w - 4*w) + 1 - 1 - w**2 + 19 + 19*w**2 + 2*w - 17 - 56*w**2.\nAnswer: -35*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**2 + 6*m - 6*m + 8*m**2 - 53*m**2 + 12*m in the form q + s*m + h*m**2 and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 1 - 13. Let k(l) = l**3 - 6*l**2 + 10. List the prime factors of k(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 54\/47 + -695\/564. Let k = -49 + 49. What is the third smallest value in o, -0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 175 - -54. Let w = 229.0242372185 - 0.0243542185. Let t = s - w. What is t rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.2  (b) 0.1  (c) 2\/11  (d) -76  (e) 6\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 437 - 874 + 3*l + 437. Let g(a) = 925*a**2. Calculate x(g(f)).\nAnswer: 2775*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 19157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 115145 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -334132114228 + 0.6?\nAnswer: -334132114227.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 101.3 - 106. Let c = 0.3 - g. What is the biggest value in -3, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 4*c - 27. Let z(q) = 13*q - 83. Calculate -7*b(y) + 2*z(y).\nAnswer: -2*y + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 53 - 99 - 4*y + 48 + 3*y**2 wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*y - 74*y - 40 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -q**4\/4 + q**3\/3 + q + 1745. Let a(r) = 37*r**3 - 6*r**2 - 6. Calculate -a(w) - 6*n(w).\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -81632588.000226 - -81632696. Let o = -0.143 + 108.143. Let m = o - z. Round m to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18020\/(-51))\/(-53)*((-42)\/4)\/7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 23*a - 23*a + 5 - a**2 wrt a?\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*i - 3*i + 6*i + (5 - 5 - 3*i)*(2 - 6 + 1))*(4 - 1 - 1).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 26344 and 3.\nAnswer: 79032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*s - 11*s + 3 - 5 = 2*u + 1, -u - 1404 = 281*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * 8196.299.\nAnswer: 24588.897","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 4*f - 696. What is the remainder when f is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 107862786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-332)\/(-24) - 1\/(-6). Let w be 0*(3 + t\/(-4)). Suppose w = 4*s - 93 - 23. List the prime factors of s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6856*j*v**2 + 2*j*v - 288*j + 17*v**2 - 244*v + 4 wrt v?\nAnswer: 13712*j + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -352*l + 35516. Give u(101).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c + 2*c + c)*(-8*c - 12*c + 34*c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1550 and 19530.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**10*r*r**(3\/10))**(-2\/115))**(2\/89) assuming r is positive.\nAnswer: r**(-226\/51175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 19. Let y = i - -6.2. Which is the third biggest value?  (a) 4\/5  (b) y  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 45*l - 9. Let p(z) be the first derivative of 34*z**2 - 14*z - 913. What is 8*i(y) - 5*p(y)?\nAnswer: 20*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**3 - 5*r**3 - 2 + 7 - 4*r**2. Give y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6*(182\/(-39) - -4). Solve -g = 3*s - 4*h, -2*h + 16 = -s + 3*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 766\/325 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 + 38. Let j = 61 + g. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**2 - 31500*t - 1326528 = 0.\nAnswer: -42, 15792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.245  (b) 12\/7  (c) 2  (d) -2\/3  (e) 0.5  (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 PM and 3:15 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 92a21?\nAnswer: 92a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*sqrt(40)\/(sqrt(8) + sqrt(2))*3)\/((sqrt(396)\/sqrt(11) - sqrt(4)) + sqrt(4) - sqrt(48)\/(sqrt(12)*2)).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/3)\/(((c\/(c*c*c**(-2\/3)))\/c)\/c))\/(c**1\/c*c)**1 assuming c is positive.\nAnswer: c**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 19*t**3 - 225*t + 10*t**3 + 77*t**2 + 118*t**2 + t**4 = 0.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2223*x**3 + 1363*x**2 + 6*x - 3. Let q(t) = t**3 + 2*t**2 + 2*t - 1. Let j(i) = p(i) - 3*q(i). Find the third derivative of j(r) wrt r.\nAnswer: 13320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3210*b + 902*b - 1100*b - 411*b - 1736*b as x*b + k and give x.\nAnswer: -5555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 10*n**2 - 4*n + 59. Give w(-6).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -155*k**3\/3 + 812*k**2\/3 - 229*k - 354.\nAnswer: -(k - 3)**2*(155*k + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 504+-1.02718634138\nAnswer: 502.97281365862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of 5*q**8\/336 - q**7\/105 - q**6\/24 + q**5\/30 + q**2 + 3*q. Let a(k) be the first derivative of h(k). Factor a(l).\nAnswer: l**2*(l - 1)*(l + 1)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3780 and 459410.\nAnswer: 24808140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1865*u**6 - 776*u**2 wrt u?\nAnswer: 223800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 - 0)*(-6)\/2. Let v = 19 + -19. Let u be 1 + v + -2 + 3. Solve d*l = u*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1801, -1790, -1781, -1768, -1745, -1706, -1645?\nAnswer: -1556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4833 divided by -27\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 24*l. Let w(x) be the third derivative of -50*x**2 + 1\/24*x**4 + 0 + 0*x + 0*x**3. Determine v(w(i)).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Let f = -851 - -855. What is the second biggest value in 3, -4\/7, f, -5\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 83*x**2 + 2450*x + 1302. Give a(-29).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times -0.174\nAnswer: -0.0174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6610773 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 1\/2, -31888?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -558*g**2*r**2 - 3*g**2 - 3*g*r**2 + 45231*r**2 wrt g?\nAnswer: -1116*g*r**2 - 6*g - 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 17*o. Let t(w) = -4*w. Let s(f) = p(f) + 4*t(f). Let z(u) be the first derivative of 35*u**3\/3 + 1. Calculate z(s(g)).\nAnswer: 35*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 2106 divide 3708651258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 46236, 46003, 45772, 45543, 45316, 45091?\n\"Answer: y**2 - 236*y + 46471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2*r = m + 155, -65 = -r - 5*m. Suppose -2*z + r + 52 = 0. Does 22 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 203472 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eec when three letters picked without replacement from ceez?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0*w)**(-7\/6)*(w*w\/w**14)**41 assuming w is positive.\nAnswer: w**(-2959\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -60.5 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 204\/5 - 1443\/35. What is the nearest to 1 in -4\/3, p, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, h: 7, b: 3, d: 5}. What is prob of sequence hgdb?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 48, 74, 100?\n\"Answer: 26*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1000011100001011 - -11?\nAnswer: 1000011100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -4*l**3 - l**2 - 6*l - 5. Let u(d) = 5*d**3 + d**2 + 7*d + 6. Suppose x - 45 = -4*x + 5*s, s - 3 = -2*x. Let r = 10 - x. Calculate r*u(j) + 7*b(j).\nAnswer: 2*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-600)\/(-160))\/(6\/8). Sort 0, -5, f, 1 in decreasing order.\nAnswer: f, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and 9160168.\nAnswer: 128242352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 36*h**2 + 5722*h - 41465. Give f(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve f = 21639 - 21636, 0 = -6*k - f + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do 42 and 43 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 979 is divided by 168?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v**3\/4 + 87*v**2\/4 + 462*v - 484 = 0. What is v?\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.64525 rounded to 2 decimal places?\nAnswer: -6.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1195866752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/9*o**3 - 10\/9*o**2 + 2 - 2\/3*o.\nAnswer: -2*(o - 1)*(o + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkgrpgrkrxkkxkxzrkxk. What is prob of picking 1 g, 1 r, and 2 k?\nAnswer: 56\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2317371045.\nAnswer: 3, 5, 11, 41, 342553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 divided by -77.\nAnswer: 9\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2280 - 27397\/12. Let a = -34511\/3 + 310594\/27. What is the common denominator of k and a?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 111081914?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l + 5 + 7. Let a = -3 - -1. Put l, -3, a in ascending order.\nAnswer: -3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b3d7 (base 15) to base 13\nAnswer: 143b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2\/13, 0.91 in ascending order.\nAnswer: -1, -2\/13, 0.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v + 7. Let g(i) = 5*i. Let t(x) = -6*x + 1. Let u(y) = -4*g(y) - 3*t(y). Give -9*u(n) - 4*z(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k**2\/k)\/k)**25)**(1\/17)*((k\/(k\/(k\/k**6)))\/(k*k**(-6)))\/((k*(k**1*k)\/k)\/k**1) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) be the second derivative of -g**5\/20 + 5*g**4\/12 + g**3\/6 + g**2 + 12*g. Let h(l) = l**3 + 7*l**2 + 4*l - 7. Let w be h(-6). Give o(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/17 - 18*h**2\/17 - 52*h\/17 - 48\/17.\nAnswer: -2*(h + 2)*(h + 3)*(h + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**3 - 99157*y**2 + 1785070*y - 7934000 = 0.\nAnswer: -99175, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 15*j**3 - 8*j**2 + 8*j. Let y(t) = -5*t**3 + 3*t**2 - 3*t. Let x(s) = 3*n(s) + 8*y(s). Let v = 15 + -10. Suppose -u = -v*u + 4. Determine x(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 9555.038  (b) -5  (c) 0.4  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 3 = w + 9, w = 5*b - 18. Suppose 4*n = -b*y + 18, -5*y + 0*y = 3*n - 19. Find the common denominator of y\/(-10) + (-1465)\/50 and 21\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.2 + 0.1. Let n = a - 0.5. Let q = n - 0.4. Is -0.1 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/4 - 238\/280. Put h, 1\/6, -0.4, 8 in descending order.\nAnswer: 8, 1\/6, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*19.233299\nAnswer: -3.8466598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000038272 rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103678*v - 308903*v + 103679*v + 101548*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 215*i. Let b(x) be the third derivative of -x**5\/60 - 420*x**2. Determine o(b(q)).\nAnswer: -215*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 3*z**3 + z**2 + 2. Let o be x(3). Suppose 0 = 5*l + 4*m + 205, -2*l + 9*m - 49 = 4*m. Let c = o + l. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -16 + 52. Let a be 3\/x - 38\/(-8). Solve a*f = -b, 2*f - 4*b - 22 = -0*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36*-950\nAnswer: 34200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -19.7224 - 3\nAnswer: -22.7224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(405) - (sqrt(125) - (-5 + -5 + sqrt(125)))**2.\nAnswer: -98 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -548 - -551. Solve 5*h - 5*p - 5 = 0, -5*p + 0 + q = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1 and -336587731860?\nAnswer: 336587731861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2253 + -295. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**2 - 14*o. Let z be b(-5). Let j = 26 - z. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -63\/197 - -425\/2561. Let j = 4 + -4.7. What is the nearest to -0.3 in -2, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 43, 42, 43, 46, 51?\n\"Answer: v**2 - 4*v + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 2*d - 10, -5*s + 3*d + 0 = 18. Let n be s\/(-4) + 250\/8. Is (n\/20)\/(2\/5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 23.538 - 24.538. Which is the fifth biggest value?  (a) 3\/7  (b) 0.2  (c) -0.5  (d) o  (e) 52\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 7395263 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4193*b**2 + 2022*b**2 + 2046*b**2 - 2)*(-3*b**3 - 4*b**3 + 5*b**3) + b - 2*b**5 - b.\nAnswer: 248*b**5 + 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -46, -0.481189 in increasing order.\nAnswer: -46, -0.481189, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (28 + 12 - 9*i - 3 + 10*i + 0*i - i + 3*i + (-2 + 0 + 1)*(-i + 2*i - 2*i) - 3*i + 13*i + 0*i)*(8 - 3 - 9) to o*i + f and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7\/48, -58449, 0.1?\nAnswer: -7\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16703*l*m**6 + 2*l*m**2 - 2652*l - m**2 wrt m?\nAnswer: 2004360*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n = 3*d + 13 - 1, -3*n = 51*d + 246 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s + 3. Suppose -2 + 10 = 4*u, -5*c + 43 = 4*u. Let l be q(c). Let v(b) = 3*b - 3*b**3 + 2*b**3 + 3 + 2*b**2 - 5*b**2. Determine v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 514990, 514973, 514956, 514939?\n\"Answer: -17*i + 515007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 574*l**2 + 179*l + 2 wrt l.\nAnswer: 1148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 98 - 97.9. What is the nearest to 0.06 in w, 1\/3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 576758297?\nAnswer: 576758297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 403 and 2424123.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**2 - 21*x + 6. What is a(-14)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 a when three letters picked without replacement from rreeaaaqreeeq.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-24)*(-9)\/(-4). Let o = -0.03 - -3.03. What is the third smallest value in 0, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 887, 5, -4, -3, 8, 1 in increasing order.\nAnswer: -4, -3, 1, 5, 8, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 d, and 1 n when three letters picked without replacement from {n: 1, v: 2, a: 1, d: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 609071551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6094452 and 1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 4824 = -r. Let f = -804 - r. Let n = 16 + -10. Solve f = -h - h - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-3 - -2)*3). Calculate the remainder when 7 is divided by -5*(16\/(-20) + x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*v - 171*v + 751*v - 1 - 212*v - 212*v.\nAnswer: -46*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -141024 - -2?\nAnswer: -141022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 651 + -651.534. What is k rounded to 2 dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 6:14 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1222 - 3451?\nAnswer: -2226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 19458, 20338, 21218, 22098?\n\"Answer: 880*m + 18578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 + -6. Suppose -a + 5 = -v. Let u be (-2)\/a + 267\/12. Calculate the greatest common factor of 176 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*o + 3*o + 18. Suppose 4*w - w + 34146 = o*y, -4*y = -2*w - 45530. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0508, 229, -28.\nAnswer: -28, -0.0508, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/12 and (-14)\/18 + 1 + 122\/45.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 721 is divided by 669.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 (base 5) in base 3?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 24 = 2*g. Let i(h) = h**3 + 5*h**2 - 7*h - 3. Let r be i(g). Suppose n + r*n - 56 = 0. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/1950 and 17\/78000?\nAnswer: 78000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6441106.\nAnswer: 2, 7, 460079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 41.135 - 0.135. Let j = -41.2 + g. Is 0.03 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -240.283168 + 240.2212546314. Let w = -343.0617563686 - u. Let j = w - -343. Round j to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2076 is divided by 319.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {p: 2, j: 4, z: 5, q: 1, m: 7, f: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4633, -3, -2 in ascending order.\nAnswer: -4633, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(-2 + 1 + 3)*((2*h - 1 + 1)*(-h - h + h) + h**2 + 2*h**2 - 4*h**2 + 8*h**2 + 2*h**2 - 5*h**2).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 - 0.05. Let u = 4.05 + f. Let t = -5 + u. Which is bigger: t or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:33 PM and 1:24 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5927*b + 41423 - 3191 = -6458*b for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 159 + -147. Let p(r) = r**2 - 13*r + 18. Calculate the remainder when 8\/(6\/(-4) - -2) is divided by p(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 1707160*z + 101907. Let k(t) = 871*t + 52. Let y(b) = -7839*k(b) + 4*p(b). Let w(n) = -4*n. Give w(y(j)).\nAnswer: -3484*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 18 = 2*h. Let d(w) = 6*w**3 - 7 - 5*w + 5*w**2 - 5*w**3 - 10*w**2 + 0. Determine d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -208 (base 10) to base 4.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 18231087 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m - 5*m + 2*h - 14 = 0, -2*h = -4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 * -0.10925.\nAnswer: 2.29425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p. Let l be f(2). Let o be 6\/18 - (-269)\/3. Suppose 5*g = -0*g + o. Calculate the greatest common factor of g and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/4  (b) -87  (c) -2\/33  (d) -16  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of -d**8\/112 + d**5\/4 + d**2. What is the third derivative of c(m) wrt m?\nAnswer: -180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(324))\/sqrt(9) - (sqrt(36) + sqrt(324) + (sqrt(324) - -1*sqrt(324))))\/((4*1*sqrt(108))\/sqrt(9)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4?  (a) 0.8  (b) -108\/7  (c) 219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*h**3*k**2*s - 9*h**3*k - h**2*k + h**2*s**3 + 34*h*k**2*s**3 + 7*k**2*s + 6*k wrt k.\nAnswer: 4*h**3*s + 68*h*s**3 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 49 - 29. Suppose j*u = 18*u + 118. What are the prime factors of u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -109.1 + 105.1. Let c = -1.07 + 0.07. Let q = 0.1 + -0.3. What is the nearest to c in u, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -3.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z + 37. Let o be x(0). Let r = 1350 + -1054. What is the highest common divisor of r and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 127907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -73 - -74. Let a be (0 + 3)*(p - -15). Let q = a + -48. Solve 2*k + 3*k + 10 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3368.4 * -0.1\nAnswer: 336.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/23)\/u)**7\/(u**(2\/5)\/(u*u\/(u**(-15\/2)*u))) assuming u is positive.\nAnswer: u**(323\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h = -5*n - 39, -509*h + 514*h = 15 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1105 and 3.0592.\nAnswer: -3380.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0066927 or 0.1?\nAnswer: 0.0066927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, m: 3, q: 3}. Give prob of picking 1 q and 1 k.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3\/42874 - 2936779\/1286220. What is the common denominator of 73\/350 and b?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 6\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19929\/455 + (-16)\/(-5). Sort -1, k, -2, 9.\nAnswer: -2, -1, 9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 1 + 9 = 4*n, 0 = 4*n - 2*i - 4. Let x(m) = -m**2 + 9*m - 10. Let z be x(n). Solve -13 = -z*j + p, 3*p - 13 = -2*j + j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25166.8381759 + 0.5\nAnswer: -25166.3381759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-2)*-1*303595\/180. Let o = q + 3375. What is the common denominator of 43\/106 and o?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117670430 to the power of 1\/3, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -1 + ((sqrt(2299) + sqrt(2299)*1 + sqrt(2299))**2 + 0)*5 + -1.\nAnswer: 103456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 85, 219, 463, 853, 1425, 2215?\nAnswer: 3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*i**3*t + 2*i**3 - 25*i**2 + 6*i*t - 4*i + 195 wrt i.\nAnswer: -60*i*t + 12*i - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v - v**2 - 3*v**2 + 5*v**2 + 6*v**2 - 54 + 54 + (-3*v + 5*v - v)*(0*v - v - v).\nAnswer: 5*v**2 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 0 = -4. What is the third derivative of -4 + 4 + x**5 - 4*x**o wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (((sqrt(2299) - (sqrt(2299) + 1*sqrt(2299) + 1)) + -1*sqrt(2299) + sqrt(2299) + -3)**2 + ((1*sqrt(684))**2 + 0 - ((sqrt(684) + 0)**2 + 4)))*3.\nAnswer: 264*sqrt(19) + 6938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 37 + 38 = 0. Solve -5*a = -0*a - b for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -8*s - 1. Let k be q(-1). Let t(u) be the third derivative of -u**6\/120 + 2*u**5\/15 - u**4\/6 + u**3\/2 + 5*u**2 + 2. What is the tens digit of t(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.4  (b) -2.3  (c) -3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4884)\/(-70670))\/((-21)\/90) + (-3 - 115\/(-35)).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, y: 6}. What is prob of sequence yy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11\/25 + 47\/75. Let u = j + -6\/5. Is -1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5714670 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -9  (b) -25  (c) -0.46  (d) 0  (e) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11599 + -11410. Calculate the highest common divisor of 3699 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 368, 3, -3, 5, 0.2, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + (18 - 8) - (17 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -43 + 16*i - 48*i - 424 + 20*i + 10*i to the form r*i + g and give g.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 242650833977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5047 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - -2. Suppose -z*b + 137 + 15 = 0. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -140*b + 75. Does 15 divide o(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/(o*o*o\/(o*o**2*o)))**4\/(o*o**2)**37 assuming o is positive.\nAnswer: o**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 - 12*g + 93. Let d(w) = -8*w**2 + 42*w - 279. Determine 6*d(r) + 21*q(r).\nAnswer: -6*r**2 + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6757 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 - -205b6?\nAnswer: 205bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:43 PM and 1:03 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2908804579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**2 + 0*t**2 + 2*t**2)*(-2 + 0 + 1)*(-7800*t - 515*t**2 + 7800*t).\nAnswer: 515*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 14. Let a = -66 - -39. Let r be (-14)\/30 - 18\/a. Is r at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, -0.07, -13, -1\/122?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2828 is divided by 237?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-80))\/(354\/(-944))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = m - 66, 0 = -3*i + 2*m + 57 - 2. Let a = -12 + 11. What is the second biggest value in a, -3, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3\/3 + 35234*o**2\/3 - 1513255*o\/3 + 492674 = 0. What is o?\nAnswer: 1, 42, 35191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(1 + (-3)\/12). Suppose -7*l = -h*l - 24. What is the greatest common divisor of 48 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.6 - -1.79. Let b = 1 + w. Let x = 0.39 - b. Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 170.929 + -171. Let z = 607421 + -607421.0709938. Let t = z - v. Round t to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -6*b. Let o(v) = -5664*v. Determine o(r(n)).\nAnswer: 33984*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h + 9. Let n(q) = -q + 4. Let v(z) = 2*i(z) - 5*n(z). What is the lowest common multiple of 156\/7 - (-4)\/(-14) and v(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 90126?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49.4 - -49. Let y = 10\/9 + -49\/36. Which is the third smallest value?  (a) j  (b) y  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 42475268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -200 = 11859*t - 11839*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1262 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -169.9363 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uukuukuiuu. What is prob of sequence kk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6011\/990 - 48\/55. Let v = -2710\/7 + 15343\/42. Let c = -93\/4 - v. Find the common denominator of h and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 356621235 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 256.5 + -252.5. Which is the third smallest value?  (a) -2\/9  (b) 1  (c) t  (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110*l - 225*l + 92*l + 93*l.\nAnswer: 70*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - -2) + (-109 - -59)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1396 - -2087. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 9:50 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1437*u**2 - 9929*u - 1 wrt u.\nAnswer: -2874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 3816199, -0.4 in increasing order.\nAnswer: -0.4, 13, 3816199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {w: 4, l: 1, g: 3, n: 6, o: 3, m: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/1755 and 49\/1350.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1996 - 2003.7. Which is the second biggest value?  (a) r  (b) -1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -z + r, -1568 = -z + 3*r - 1596 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 3*i - 19 = 0, -i - 3*i = 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 45257*g**3 - 13389 wrt g?\nAnswer: 135771*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -44267 by -44267.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.9794667 meters?\nAnswer: 979.4667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in seventeen tenths of a microgram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 139.5922 centuries in millennia?\nAnswer: 13.95922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3694969*v**2 - 18*v**3 + 3694969*v**2.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 13817*f + 1948154. Determine x(-141).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 + 8. Suppose 0 = -y - 5*i - 16, 4*y + 13 = 2*i + 37. Find the third derivative of -y*p + 2*p**5 + p**w + 4*p wrt p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 + 17. Suppose -26 = -2*s - 4*a + 120, 248 = j*s - 3*a. Suppose -3*u = -22 - s. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3260613 or 31?\nAnswer: 3260613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 11 = 4*l + 3, -2*l + 8 = 0. Calculate the lowest common multiple of v and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6976 (base 10) to base 12.\nAnswer: 4054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -76 - -32. Let i = r + 60. Solve -5*u - 4 = -5*y + 6, 5*y = -u + i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 10*q**2 - 660*q - 43. Let y be d(67). What is the highest common factor of 429 and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1167 - 647. List the prime factors of r.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/20)\/(15\/(225\/6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -49096 to the nearest 100.\nAnswer: -49100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-5))\/(17\/((-1020)\/18)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -4 - 27*a**3 + 12*a**2 - 8 + 5*a**3. Suppose 17*x + 25 = 22*x. Let j(w) = 6*w**3 + 6 - 1 - 5*w**2 + 3*w**3. Determine x*f(z) + 12*j(z).\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 9:18 PM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/(-2)*8\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1191 by -1.\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of 0 + 0*a**5 + 0*a**6 + 5*a**3 - 8*a - 25\/42*a**7 + 0*a**4 + 0*a**2. What is the second derivative of y(g) wrt g?\nAnswer: -500*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -1552 and -0.005.\nAnswer: -1552.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -3*p - 9. Let t be w(-1). Is 3 a factor of t\/(-48)*12*62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -12881, -25700, -38519, -51338?\n\"Answer: -12819*y - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/(-8))\/1*(-80)\/(-120).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.4  (b) -0.4  (c) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1520 + -50?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1884\/1570 - (3 - 2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1129250537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/13083840 and 61\/384?\nAnswer: 26167680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 50*o - 521191 + 523041 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/11, 0.1, -2\/13, -2, 1\/36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 2*m**2. Suppose 2*g - 7 = 3, 0 = 5*j + 3*g - 155. Let o(h) = h + 1. Let f(w) = -6*w - 7. Let t(v) = j*o(v) + 4*f(v). Calculate u(t(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14881943 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from ltttgbtlclttblglbll?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 289987217?\nAnswer: 13, 71, 211, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -67 + 63. Sort -5, -1\/4, x.\nAnswer: -5, x, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5564997 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 20 = -0. Suppose 8 = -k + l, 4*k - n*l = -k - 38. Is 6 a factor of (-33)\/k - (-6)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**2 + 42*s - 14. Let h = -85 - -94. Is o(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 3 - 3 + (2 - 2 + 1)*(-4*k + 3*k + 2*k))*(-104*k - 18*k + 30*k).\nAnswer: -276*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7\/83 - 1633\/664. What is the common denominator of 40 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120*n - 738*n - 42484 = 370*n for n.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-16)\/(-3) - -1 - (-8)\/12. Does 10 divide (65\/35)\/(-13) - (-211)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 7, -2, -13, -20, -17?\n\"Answer: k**3 - 7*k**2 + 5*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1, -11, -39, -89, -167?\n\"Answer: -p**3 - 2*p**2 + p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -6*k**2 - k + 1. Let h(b) = -b - 3. Let n be h(-6). Let v(q) = -6*q**2 + 1. Let w(s) = n*d(s) - 4*v(s). Does 11 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 43*v + 36. Let k be i(3). Let f = 166 - k. Solve -3*y - 2*m = -5, 0 = -3*y + 2*m + f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -8 - 0. Let t(j) = z*j - j**3 - 1 - 17*j + 10*j. What is t(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*b + 55*b + 55*b - 365*b + 97*b + 59*b + 48*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence boro when four letters picked without replacement from ruobrrobbrborrbbbobr?\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 505*a**3 + 351*a**3 + 358*a**3 - 1241*a**3.\nAnswer: -27*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -5*y. Let h(u) = -4*u**2. Let g be 1 - (1 + 3 + -3). Let i(b) = g*b**2 + b**2 + 2*b**2 - 8*b**2. Let x(z) = 4*h(z) - 3*i(z). Give x(q(w)).\nAnswer: -25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65*m + 9894 = 104*m + 122*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 6:26 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -480 = 4*a + 2*a. Suppose 412 + 163 = 5*i. Let b = i + a. Calculate the highest common divisor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*s + 3*b = 14*s + 11939, -4*s - b + 47822 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*c + 170*c - 32*c + 247.\nAnswer: -c + 247","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r + 45. Suppose 5*k - 6 = 3*a + 8, -2*a - 5*k - 51 = 0. Let w(d) = 25*d**2. Calculate the remainder when p(a) is divided by w(-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - 1) + -2 + -3. Let u be 3*9 + (-4 - k). Suppose 0 = 4*d + 7 - u. Calculate the remainder when 13 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8069 - -8053.715. Round w to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of -v**4\/90 + v**3\/45 + 2*v**2\/15 + 38*v. Factor s(a).\nAnswer: -2*(a - 2)*(a + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the second derivative of i**6\/15 + 2*i**5\/5 - i**4\/6 - 4*i**3\/3 + 38*i. Solve q(w) = 0 for w.\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = 4*x - 12, 0*d - 3*d + 6 = 0. Suppose 3*l - x - 1 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12 + -8. Let n be (-3 - -1) + l + 0. Suppose 7 = 3*a - n. Solve 5*g = -k - 10, 2*g - 11 = 2*k + a*g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*x = -290*x - 214*x - 2118 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 80 - 309. Let s(t) = 17*t**3 + 4*t**2 + 5*t + 3. Let d be s(-3). Let c = o - d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 495 and 225?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-11)\/k*k**(-9\/10))**(7\/5) assuming k is positive.\nAnswer: k**(-903\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 475900 is divided by 81.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5*l**2 - l + 3. Let p(t) = -4*t**2 - t - 3. Let x(g) = 5*c(g) + 6*p(g). What is x(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 12*k**2 - 3*k + 7. What are the prime factors of i(5)?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 309193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -945*g**3 - 675*g**4 - 306*g**2 - 188\/5*g - 8\/5 = 0.\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the second derivative of 1\/42*b**3 - 71*b + 0 - 1\/140*b**5 + 1\/21*b**4 - 2\/7*b**2. Let i(m) = 0. Calculate m.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.088  (b) 5  (c) 7  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 + 4*i**2 - 19*i + 7. Is c(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f**2. Let k(y) be the second derivative of 0*y**2 - 43*y + 83\/6*y**3 + 0. What is h(k(g))?\nAnswer: -13778*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 3*l + 5. Let h be u(3). Let t = h - 2. Suppose -6*o + t = -12. Solve w + w = o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 236 - 89. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1164624565 to the nearest integer?\nAnswer: 34127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91038?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o - 25. Let y(m) = m - 13. Let v(f) = 2*x(f) - 5*y(f). Let a be v(11). Solve q = -0*q - a for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.4 and -192714596?\nAnswer: 192714596.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 8)*(2304 - 66*v - 2304)*(-v**2 + 3*v**2 - 4*v**2) - 3*v**3 + 2*v**3 + 0*v**3.\nAnswer: 659*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2046261.\nAnswer: 3, 7, 97441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 52855342 to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -16) + (-80 - -70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 + 13)*-1 - -2. Let p = o - -5. Let f(j) = -2*j**2 + 3*j. Let g(y) = -3*y**2 + 5*y. Let x(n) = p*g(n) + 5*f(n). Let i(z) = -2*z. Give i(x(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 2, x: 5, a: 7, g: 4}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 2118*h + 709311. Give g(417).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-13)\/((-429)\/(-70)) + 2. Let r = -59\/33 - b. Are r and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3307*u**4 - 109127*u**3\/2 - 42925*u**2\/2 + 79381*u - 48 = 0. What is u?\nAnswer: -16, -3\/2, 2\/3307, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 20515670339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/2))**(-35)*u\/u**(-7\/4)*u*u*u*u*(u\/(u*u**22))\/u assuming u is positive.\nAnswer: u**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -l - 195. Let z = 31 + l. Is 20*(4\/z + 1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 385139.2 millennia to decades.\nAnswer: 38513920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 17*l**3 - 11*l**2 - 10*l - 5. Let d(c) = -9*c**3 + 6*c**2 + 6*c + 3. What is 5*d(g) + 3*q(g)?\nAnswer: 6*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1167530 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3878904*t**2 - 177*t**3 - 6*t**3 - 3878905*t**2 + 2*t**4 + t + t**4 + 0*t**4 + 0*t**4 + (2*t**2 + 4*t**2 - 4*t**2)*(0*t**2 - 4*t**2 + 3*t**2).\nAnswer: t**4 - 183*t**3 - t**2 + t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -12356 + 15177?\nAnswer: 2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 740?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r - 12. Let x be s(-6). Let u be 9 + x - 0\/(-2). What is the second biggest value in -1\/7, u, -0.3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 0 - 16 - 2*c**2 + 14 - 3*c. Let v(q) = q**3 + 1. What is k(h) + 2*v(h)?\nAnswer: 2*h**3 - 2*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 484*l + 54 = 481*l - z, l - z = 34 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -2, -2\/19, -0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10031*b + 12 + 218*b**2 + 19794*b - 10421*b.\nAnswer: 2*(b - 3)*(109*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*b + 24 - 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (-964)\/(-12) + -6 + (-8)\/(-12) and 150?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 936 and 1664?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 166238, 166247, 166260, 166277, 166298, 166323?\n\"Answer: 2*l**2 + 3*l + 166233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -5*r**4 - 505*r**3 - 12495*r**2 + 13005*r = 0.\nAnswer: -51, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -2788*x**3 - 37522*x**2 - 16574*x + 520 = 0.\nAnswer: -13, -20\/41, 1\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.03 or -119?\nAnswer: -119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72595\/40 - (-4)\/32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + 13*v**2 + 18*v + 57. Determine n(16).\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(98) - (-3 + sqrt(98)))**2*-1 + (-2 + sqrt(8) - (0 + sqrt(242))).\nAnswer: -9*sqrt(2) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) be the second derivative of -i**7\/231 - i**6\/55 - 3*i**5\/110 - i**4\/66 - i. Factor s(u).\nAnswer: -2*u**2*(u + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - j + 16 = 0, -2*x + 0*j = -3*j. Let b(k) = -8 + 9 + x*k + 10*k. Is 11 a factor of b(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -5*m**2. Suppose 64*v - 72 = 58*v. Let c(w) = -v*w**2 + 2*w**2 + 21*w**2 + 6*w**2. Give c(b(s)).\nAnswer: 425*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-335)\/603 + 4\/18.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 2*m - 39. Let r be z(17). Let y(c) = -c**3 - 6*c**2 - 21*c - 2. Does 46 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17831397 is divided by 2409?\nAnswer: 2388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**2 - 3*q + 5. Let t be d(3). Suppose -3*n - t = z - 0*z, 5*n + z + 5 = 0. Solve n*s + 4*s = -4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.205  (b) 2\/13  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -29*g - 8. Suppose 5*f - 4*u - 412 = 0, 4*f - 518 = -2*u - 178. Let q = 81 - f. What are the prime factors of o(q)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*b**3 - 2*b**2 + 8*b**3 - 6*b**3 - b**3 as f*b**3 + q + c*b**2 + r*b and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1369 is divided by 450.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjjjjjjjjdjjjdj. Give prob of picking 1 d and 1 j.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 609\/(-119427)*-44 + (-5)\/(275\/10).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 5416.665ms?\nAnswer: 5416665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the third derivative of -1\/120*v**6 + 0 - 1\/15*v**5 + 0*v + v**3 - 1\/8*v**4 - 4*v**2. Is 13 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x - 4. Let k(j) = j - 437558. Calculate k(q(g)).\nAnswer: g - 437562","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 7428.49959 - -1.1\nAnswer: 7429.59959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4607, -4825, -5193, -5717, -6403, -7257, -8285?\nAnswer: -9493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2993, 3207, 3565, 4067, 4713, 5503?\nAnswer: 6437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3104.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-50 - -48)\/20)\/((-1)\/(-26))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -54 - -87. Let w(l) = 7*l**2 + 16*l + 12. Let n be w(-5). Suppose 7*p = n + 26. What is the remainder when c is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2*(0 + -1))\/(178\/7031). Solve 5 = 28*a - g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -1.2. Let s = -11\/4 + 3. Does s = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y = -1496 - 3490. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t + 15 = 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of 671*m**6\/120 + 592*m**3\/3 - 850*m**2. Differentiate k(d) wrt d.\nAnswer: 2013*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/(-6))\/((-1)\/12). Suppose -3*h + 2*p - k = -p, 3*h + p - 2 = 0. Solve -5*v + 17 = 2*s, 5*s + 3*v = -h*v + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from ooooofooyppfoyyoh?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q**3 - 9*q**2 - 27*q - 15 = 0. What is q?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -13*b**2 + b. Let i be (4 + -4 + 1)\/(-1). Give f(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c**4\/2 + 35*c**3\/2 + 10*c**2 - 70*c = 0.\nAnswer: -2, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < 15\/152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9087 minus 864278621?\nAnswer: -864269534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 133 and 209?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 16*q - 49. Let x be u(10). Let f = x - 99. What is the greatest common divisor of 444 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.4, -6, -4211, 3, -0.1 in increasing order.\nAnswer: -4211, -6, -0.4, -0.1, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2722, 2286, 1678, 904, -30?\nAnswer: -1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 280 a factor of 138895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2  (b) 2\/7  (c) 0.2  (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**2 + 53*w + 635. Let t be i(-35). Solve 7 = t*j - 6*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 PM and 1:41 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 139*c + 560*c - 40*c - 10544 = 0 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 4*x - 154, 0 = q - 3*q - x - 88. Let k = 101 + q. Let o = -52 + k. Solve -2*z - 4*l - l - 17 = 0, 0 = -o*z - 4*l - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 82963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5  (b) -43\/9  (c) -1\/5  (d) -3\/8  (e) 9  (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - v. Let d(h) = 189*h**2 + 18. Let a(q) = d(q) - 3*g(q). Let k be a(-8). Let i = k - 166473\/14. What is the common denominator of -113\/20 and i?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9.6373 times 4\nAnswer: -38.5492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 197 + -195. Let l be (w\/3)\/((-24)\/(-9)). Put -49\/2, -5, l in decreasing order.\nAnswer: l, -5, -49\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q**(-18\/5)\/q)*q**(-7\/2))\/(q**2*q)**36 assuming q is positive.\nAnswer: q**(-1059\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-90)*747\/(-498).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 125060 + -125887.13. Let l = -832 - i. Let j = -0.13 + l. Put 0.1, j, -0.4 in descending order.\nAnswer: 0.1, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 32863 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, t: 1, j: 1, b: 4, a: 1, c: 1}. What is prob of sequence ftjb?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 5*g**2 - 27*g - 92. Calculate d(-4).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 155021211.2 rounded to the nearest one million?\nAnswer: 155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -629.8 - -629.6. What is the nearest to -0.21 in -0.5, 7, g, 1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 60 and 20205?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 2*n - 10. Let v(g) = 1. Let m(o) = b(o) + 10*v(o). Let w(i) be the second derivative of 0*i**2 - 2*i - 1\/6*i**4 + 0 + 0*i**3. What is m(w(p))?\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 71*r + 11*r - 54*r**2 + 62 + 143*r + 42*r**2 - 5.\nAnswer: -3*(r - 19)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.893405 grams in micrograms?\nAnswer: 1893405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -449797825*s*t - 933*t + 31004 with respect to s.\nAnswer: -449797825*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67\/((-665511)\/1440439) + 145?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 134.1402259 - 41386.9407759. Let v = u + 41254. Let l = -1.2 + v. Round l to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rqrrqrrrqq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the second derivative of 1\/108*x**4 + 21*x - 1\/27*x**3 + 0 + 0*x**2 - 1\/270*x**6 + 1\/90*x**5. Factor t(k).\nAnswer: -k*(k - 2)*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1034.284162 rounded to one decimal place?\nAnswer: -1034.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -204, -199, -194, -189?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/2)*u**8*u\/(u*u**(-1\/19)*u)*u**(-3\/19) assuming u is positive.\nAnswer: u**(281\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-10)\/(-3)*(-30)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19 - 22. Let u(w) = w**2 + 1. Let o be u(1). Suppose g - o - 4 = 5*t, 3*t + 3 = 0. What is the smallest value in 1\/5, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/9)\/(k\/k**(-1)*k)*(k*k\/k**(-1\/6))\/k**3*(k*k\/(((k**0*k*k)\/k)\/k)*k)**47\/((k*(k\/k**(-6))\/k)\/k**(-2)) assuming k is positive.\nAnswer: k**(2303\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(5 + ((sqrt(1700) + (sqrt(1700) - (sqrt(1700) + 0)) + sqrt(1700) + sqrt(1700))**2 + -3)*-3).\nAnswer: -137658","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 + h + 58. Suppose -2*d - 2*o - 27 + 37 = 0, o - 5 = 4*d. What is m(d)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3261, -3256, -3239, -3204, -3145?\n\"Answer: g**3 - 2*g - 3260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h = 42 + 101. Let q be 1 + -4 + -7*h - 3. Round q to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the third derivative of i**4\/6 - 2*i**3 + 9*i**2. Let p be o(6). Let t be (p\/30)\/((-2)\/100). Are t and -20 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 488\/(-549)*(-3)\/4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the first derivative of -39 - 3*m + 7*m**2 + m - m**2 - 4*m**2 - 95. What is u(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = -2*u + 3*n, n = 3*u - 8*u - 121. Let w = u - -25. What is the closest to 1\/3 in -0.4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 6 - 3 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -637*-1634571\nAnswer: 1041221727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -126812 (base 14) to base 11\nAnswer: -3a23a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5465.24 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52543 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -141005, -141003, -141001, -140999, -140997?\n\"Answer: 2*z - 141007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7 + 1 - (-2142)\/21?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -223120 (base 4) to base 7.\nAnswer: -11044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 16 + 8 = 0. Suppose 2*l + 8 = y*l. Suppose -l + 10 = k. Solve -3*a - 2*f + k = 0, 0 = -3*a - 5*f + 10 + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*z**2 + 2*z**2 + 157 + 332.\nAnswer: -2*z**2 + 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*3*(sqrt(33)\/(sqrt(11) - -2*sqrt(44)) + 3)*-4*6.\nAnswer: 72*sqrt(3) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 129209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 10. Let c = -4 + h. Solve -3*t - c = -x - 5, -3*t = -5*x + 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 16*d + 68 = -16 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence edto when four letters picked without replacement from dseto?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(0*l - 3*l - 7*l)*(-4*l + l + 5*l) + 737*l**2 + 314*l**2 - 355*l**2.\nAnswer: 736*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 10:04 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5727559 bigger than 5727572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 105 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28 + 236. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001000101100101 - 110110?\nAnswer: 1001000100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 3150?\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -351487 (base 13) in base 14?\nAnswer: -24b0c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -267792527*b**6 - 2*b**2 - 10862226*b + 9.\nAnswer: -32135103240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/(-12))\/(5\/(-15))*-7. Suppose 42 = 4*c - 3*b, 0*c + c + 3*b = 18. Let t be (-558)\/(-8) - (-3)\/c. Calculate the greatest common divisor of j and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -207 - -205. Let u(o) be the second derivative of 7*o**3\/6 + o. Determine u(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1888170.\nAnswer: 2, 3, 5, 62939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 70305812?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**3 - t**2 + t - 12. Let b be l(4). What is the highest common divisor of b and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of z**4\/4 + z**3 + 5*z**2 + 15*z + 111. Let t be g(-3). Put -2, 5, 1, t in increasing order.\nAnswer: t, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 3*j**3 + 108*j**2 + 972*j = 0?\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -2797, -10832, -24223, -42970, -67073, -96532?\n\"Answer: -2678*r**2 - r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the second derivative of d**7\/70 - d**3\/3 - 3*d**2\/2 + 5*d. Let g(s) be the first derivative of i(s). Differentiate g(a) with respect to a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2996631 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12138.432 months to millennia.\nAnswer: 1.011536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 29685 - 29690.00075. Let f = -5.61 - -0.61. Let m = o - f. What is m rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -352*s**2 - s + 821 wrt s?\nAnswer: -704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/(-4674))\/((-160)\/264). Let l = 9\/190 + t. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69, -189, -875, -2199, -4371, -7601?\nAnswer: -12099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the second derivative of -l**4\/12 + 5*l**2\/2 - 4*l + 22. Determine g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -11, -2, -1, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1203742829 to the power of 1\/3, to the nearest integer?\nAnswer: 1064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 5. Let c(x) = -6*x**2 - 9. Let y(v) = 3*v**2 + 5. Let a(i) = d*c(i) - 9*y(i). Let h(g) = -2*g**2. Determine h(a(m)).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -31*f**2 + 17*f + 2. Let u(a) = -15*a**2 + 9*a + 1. Determine -3*q(c) + 5*u(c).\nAnswer: 18*c**2 - 6*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3*(-4)\/(-72))\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*z + 20*z + 10 = 0. List the prime factors of 101 - (0 + 5)*z\/(-5).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 71197 and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (80\/12 - 2)\/((-3)\/1539). Let k = 4087 + z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**4 + 2*p - 2*p)*(5*p + p - 4*p) - 16*p**5 - p**5 - 23*p**5.\nAnswer: -36*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 + 17 + (23 - 45).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5 + 77*k**4 - 2022*k**3 + 19150*k**2 - 25625*k - 46875.\nAnswer: -(k - 25)**3*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, w: 3, z: 12}. Give prob of picking 2 z.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1350 + 1346. What is the nearest to -4\/7 in m, 0.2, -9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 8*g - 7. Let z be t(-9). Let d(u) = -15 + 13 + u**3 - u - 3*u**2 + u + 3*u. Let i be d(z). Solve i = -s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*l + 98 - 18 = 0. Let b = l - 1. Let x(g) = 50*g - 7. What are the prime factors of x(b)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 4*g. Let p(h) be the first derivative of -5\/2*h**2 - 7 + 0*h. Calculate p(x(m)).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 39467 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 161, 162, 163, 164, 165, 166?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -114122\/7  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w**3 - 21308*w**2 + 63888*w = 0. Calculate w.\nAnswer: 0, 3, 5324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-205488)\/(-120) + (-2 - (-8)\/5)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-1\/8)\/(s\/(s\/((s\/(s*((s\/s**(-4\/3))\/s)\/s*s))\/s)))*(s**(-1))**(16\/11) assuming s is positive.\nAnswer: s**(199\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1836 - 1829. Solve -i*s = -4*q - 6*s, 0 = 2*q - s + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/7  (b) 1\/7  (c) 184  (d) -2\/3  (e) -3  (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 2*z + 3. Let r be w(-2). Suppose r*n = -n. Suppose -2*c = 3*u + 5, c + n*c - 30 = 5*u. Solve 2 = c*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20948*p**3 + 294 - 294 - 21027*p**3.\nAnswer: -79*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 18*k - 121. Let h be o(7). Suppose -3 = -0*x + 3*x, x + 1 = h*z. Solve c = -4, 2*t - c - 6 = -z*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -147 + -21143?\nAnswer: -2128a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*c + 3 = -23*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12362 - -150346645\/12162. Let a = 589849\/97296 + f. Let n = 1519 + -3129\/2. Find the common denominator of a and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 426360586?\nAnswer: 2, 213180293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z + 1786*z**2 - 895*z**2 - 901*z**2 - 15)*(-6*z + z - z).\nAnswer: 60*z**3 - 12*z**2 + 90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1210, -3639, -10854, -25249, -49218, -85155?\nAnswer: -135454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -3*n + 1. Let a(s) = 5*s - 2. Let t(x) = -4*a(x) - 7*f(x). Let j be t(14). Suppose -2*u + j = u. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 11, o: 5, q: 3, k: 1}. Give prob of picking 3 s and 1 k.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -398, -383, -350, -293, -206?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g + 2*g + 3*g)*(-347*g - 380*g + 639*g) + 6*g**2 - 11*g + 11*g - 4*g**2 + 2*g + g**2 + g**2.\nAnswer: -436*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 0.1, -65, -14, -1\/4 in ascending order.\nAnswer: -65, -14, -4\/7, -1\/4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(-5)*y)\/y*y)\/(y\/(y*(y\/y**2)\/y)))\/(y*y*y\/(y\/(y*(y**2*y)\/y)))**(-8\/3))**11 assuming y is positive.\nAnswer: y**(242\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/7 in 1, -3\/8, 0.3, -2\/11, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, h: 2}. Give prob of sequence aha.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 l, and 1 z when three letters picked without replacement from glmnnamalnnzga?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + a + 32 = 0. Is a less than or equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(475) + 0 + sqrt(475))*3.\nAnswer: -3 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.3  (b) -1.0617  (c) -0.06  (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1134\/(-31008)*-62 - 2*1. Let o = k - -3\/136. What is the common denominator of 3\/16 and o?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xkffwxwxkx. Give prob of sequence wkxf.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-76)\/(-532) + (-5)\/(-95)*(-3310)\/812 and 19\/6.\nAnswer: 3306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 515 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7908890, 15817886, 23726882?\n\"Answer: 7908996*i - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a - 5*a + 3*a + (0*a - 2*a + 0*a)*(-11 + 5 - 3) + a - a + a + (-3 + 1 + 0)*(-5 - 3*a + 5) to the form r*a + b and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-14*z + 17*z + 4*z)*(5 - 3 - 4) as w + d*z and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 2*w + 21. Let c be n(-8). Suppose -c*b + 610 = -4*v, -4*b + 9*b - 5*v = 610. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*h**2 - 19*h**2 + 6*h**3 + 9*h**2 + (-2*h - 4*h + 4*h)*(-3*h - 3*h**2 + 3*h) as k*h**3 + v + l*h**2 + r*h and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((572\/(-11))\/(-13))\/(-3)*(-9)\/(-30)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 + 7*y + 13. Let s be q(8). Suppose 4*d = k + 18, 6 - 21 = -3*d. Let v = 0.3 + -0.5. Which is the nearest to v?  (a) s  (b) k  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*(1\/(-12))\/((-4437)\/696).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 - k**2 - 3*k + 2. Suppose -2*z - 7 = -1. What are the prime factors of t(z)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 712\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -5 from 1436.2273.\nAnswer: 1441.2273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*q - 6*q - 22*q + 8*q.\nAnswer: -34*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 236 = 34*q + 11*q + 14*q. Solve 2*x - 5 = -3*i, 14*i - 12*i = q*x - 18 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 - -68. Let o be ((-3)\/(-4))\/(5\/20). Solve -o*s = b*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -5. Suppose -432 = -b*f - 2*f. Suppose 2*o - o = 18. Calculate the highest common factor of o and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of 9*b**2 - 21*b + 54. Is 2 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 c when two letters picked without replacement from ozkkzoorrczi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 16228290007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + h + 8 = 2*y, h - 4*y = -1. Which is smaller: -6 or h?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o - 4. Let f be d(8). Let n be (-4)\/f*21 - 1. Let h(p) = -p**2 + 9*p - 8. Give h(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -5 + (-20 - (-6 + (6 - 5))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -f - 26, -5*b - 5*f = -13 - 17. Let q be 222\/b + 10\/40. Let h be (-21)\/q - (-14)\/(-24). Is 0 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*n = -4*n - 24. Suppose -6*y + 75 = -n*y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 321840 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1270380 and 285.\nAnswer: 24137220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1503, -22, 10\/7, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -18 - -28. Suppose 4 + 17 = 3*h. Let q be (-2)\/h - 1686\/(-21). What is the greatest common factor of q and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.5294l to millilitres.\nAnswer: 60529.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 942379, 1884160, 2825941?\nAnswer: 3767722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-336)\/(-84) + (-206)\/(-4))\/(3\/80) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -w + 123, 0 = -3*w - q - 4*q + 325. Let u = 190 + w. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 442\/(-4)*(-2)\/(5 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 0 + 118 = -4*j, 5*j = 2*g - 131. Let c be j\/(-12)*(20 - 0). Suppose 3*f + c = 8*f. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 32 - 30. Find the second derivative of 1 + 9*n**y - 48*n - 1 + 51*n wrt n.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-18) - 123\/756. Let n = 4\/21 + r. Which is the second biggest value?  (a) n  (b) 0  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 11) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -68 - -70. Let w be 246 + 12\/3 + a. Suppose -2*q + w = n + n, 3*q + 622 = 5*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -s - 9100, 2*s - 3*s = -d + 9100. Round s to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 9, b: 9, t: 1}. Give prob of picking 2 j and 1 t.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of 1\/6*t**3 - 2*t**2 - 3*t + 0. Let c be b(4). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 + 67. Suppose -n = 14*b - 36. Solve -w + b = -1, 12 = -3*p - w for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = 24*n - 15*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1011000101 (base 2) in base 6?\nAnswer: -3141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, r: 1, i: 4}. Give prob of sequence rf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 43891499 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -72 + 79. Calculate the remainder when 10 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 82 = -4*a, z + 2*z - 2*a = 196. Suppose 5*x - 3 = z. Let p = x + -2. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes before 8:55 AM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*o + 759 = -12 - 10409 for o.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 + 3. Suppose -b = -2*x, 2*b - w - 1 = x. Suppose -4*p = -a - 4*a + 309, b*a - 121 = -p. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 235393231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 2:09 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -41  (b) 1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*i - 78 + 232 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 213127907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the third derivative of -49\/15*n**4 + 0*n - 14\/75*n**5 + 1\/840*n**8 + 13\/20*n**6 + 0 + 0*n**3 + 4\/75*n**7 - 47*n**2. Solve k(m) = 0.\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 41*z**5\/60 - 10*z**2. Let c(o) = 2*o. Calculate b(c(j)).\nAnswer: 164*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -30 + 10. Let o = 27 - n. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5104, 10242, 15432, 20698, 26064, 31554?\nAnswer: 37192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 1, z: 3, l: 1, d: 1, t: 2, i: 5}. What is prob of sequence tzdl?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 11, l: 6, n: 1}. What is prob of sequence lnl?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -156*h - 1664. Let x be c(-28). What is the greatest common divisor of 26 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*r**3 + 505*r**2 - 3164*r + 2652.\nAnswer: (r - 1)*(r + 78)*(7*r - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, 584\/9, 3\/115 in increasing order.\nAnswer: -0.04, 3\/115, 584\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16 + j + 240 - 10 - 10 - 204.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4008, -34754, -118962, -283362, -554684, -959658, -1525014, -2277482?\nAnswer: -3243792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2118879005568 - 0.5?\nAnswer: -0.7118879005568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/46  (b) 30  (c) -1\/9  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 15*u - 16*u = -14, -2*s - 38 = -4*u. Calculate the remainder when ((-3)\/5)\/((-2)\/10) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2957*i**2 + 0 - 3045*i**2 - 9.\nAnswer: -88*i**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v**2 - 1 - 6*v + 11*v + 4*v**2 - 5*v**2. Does 9 divide n(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 2, 9, 1, -63 in descending order.\nAnswer: 9, 2, 1, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -3 + 7 + -15.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1771556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*b + 3631 - 3673 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**2 - 6*k + 5. Let w be q(-6). Suppose d + 3 = 5*s, w*s - 2 - 3 = 0. Let t be (-4 + d)\/(-2 - -1). Sort t, -1, -3.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 801*j + 3. Let d(k) = -400*k - 2. Let v(q) = -9*d(q) - 5*m(q). Let a be v(-1). What is the greatest common divisor of 51 and a?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 40\/129 and 91\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9762023213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c5cb - -10?\nAnswer: c60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -4*((sqrt(27)*1 - (0 + sqrt(9)\/sqrt(3)))**2 + sqrt(108)*-1).\nAnswer: -50 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7221689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 7*p**3 - p**2 + 2*p - 1. Give q(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k**3 - 2312 - 4*k**3 - 279*k + 1707*k - 144*k**2 + 4*k**3 = 0 for k.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*r + 10. Suppose -8 = -4*j, -2*u + 6 = 3*u - r*j. Let q(d) = 3 + 15*d**2 + 11*d**2 - 6*d - 27*d**u. Give q(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*s = -11*s - 245. Let h = 138 - s. Let p = h - -77. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cgc when three letters picked without replacement from gwwffcnggwnfncgcw?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*g**4*l + 30*g**4 + 4*g**3 + 58*g*l + 3*g - l wrt g?\nAnswer: 24*g**2*l + 360*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (12 + 24 + -23)*(1 - 0) + -113?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0 from -0.021.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + (2 + 0 - (7 + (-10 - -4))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 + 0.3. Suppose -5*b = -c + 40, 0 = -5*c + 4*b + 16379 - 16368. What is the second biggest value in -2\/9, l, 1\/6, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 115976?\nAnswer: -46390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -21.6 and -1009.03?\nAnswer: 21795.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of h**2 - 789405*h - 59029 wrt h.\nAnswer: 2*h - 789405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*b + 4*b + b)*(-5 - 2 + 2)*(-1 - 1 + 1) to the form m + z*b and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + (sqrt(330)\/(sqrt(18)\/sqrt(3)))\/((sqrt(121) - sqrt(121)*2 - sqrt(121) - sqrt(121))\/sqrt(11)))*-5)**2.\nAnswer: 100*sqrt(5)\/3 + 1025\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 2*m + 2*m - 2*m. Let g(y) = -4*y. Let v(z) = -2*z**2 - 3*z + 1. Let r be v(2). Let b(o) = 6*o**3 - o**2 - o. Let j be b(-1). What is j*g(p) + r*s(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5148431 + 7906008. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164329794.\nAnswer: 2, 3, 1999, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2\/13 + 5435044*q\/13 + 3692462910242\/13.\nAnswer: 2*(q + 1358761)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q\/(q**(-1\/5)*q))\/q*q**2*q)\/(q**7\/((q\/q**21)\/q)) assuming q is positive.\nAnswer: q**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*u**2 + 4*u**2 + 4*u**2)*(159 - 112 + 82 + 164) as h + o*u**2 + y*u and give o.\nAnswer: 3223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 4897400 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 55 - 77. Let k = -22 - z. Which is the second biggest value?  (a) -1\/6  (b) -2\/15  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -10, -4\/7, -2\/51?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -40*z**3 + z**2 + 4*z + 1. Is t(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.1  (b) 0  (c) -414  (d) -2  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33*s - 28*s + 49*s to p*s + r and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1508618383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0002226 rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**0\/w**2)\/(w**1\/(w**(-3\/4)*w)) assuming w is positive.\nAnswer: w**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -403*w + 1756. Calculate the remainder when y(4) is divided by 33.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 5*m + 10, 10 - 28 = -l + 4*m. Suppose -2*a - 3*u + 9 = 0, l*a - 2*u + 4*u - 8 = 0. Calculate the remainder when a is divided by 7\/3 + (-5)\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3929?\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 786 - 1571\/2. Which is the nearest to -1?  (a) 1  (b) s  (c) 0.2  (d) -0.0516\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6057841921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 299034*n - 4*n**2 - 299034*n.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1833930 divided by -130995\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 16 = -i, -4 = i + 4*h - 28. Suppose -5*a + 2*y = -8, -3*a - i = a + 2*y. Suppose u - 4*d - 37 = a, -d = d. Is u a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-75))\/(2*(-45)\/(-27))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 AM and 10:45 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 52 - 11 - 27 - 1 - 437*s.\nAnswer: -437*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*o + 4*o - 21 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55868395?\nAnswer: 5, 11, 43, 23623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 10*t - 21 = 0. Suppose -5*q + 5041 = -3*l, -t*q - 1491 = -3*l - 4518. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + -1. Let s = -6 - i. Let q(w) = -w**2 - 5*w - 3. Determine q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 2*p**3\/13 - 36980*p**2\/13 - 221934*p\/13 - 332928\/13 = 0.\nAnswer: -3, 18496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 6*(-6)\/90*-5. Suppose -s*g - g + 8 = -4*d, -4*d = 8. Solve g = 6*v - 5 + 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*s**2 - 4*s**2 + 3*s**2 + (-1 + 1 - 2)*(0*s + s**2 + 0*s) + 49*s**2 + 1218*s - 1218*s + (1 - 2*s - 1)*(3*s - s + 0*s) - 3*s**2 + 5*s**2 - s**2.\nAnswer: 45*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-535)\/6)\/(-5) + (-6)\/(-36). Suppose t - 28 = -2*n. What is the second biggest value in 0.1, -0.5, n, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -25*x - 112. Let a(i) = 8*i + 37. Let p(o) = 7*a(o) + 2*n(o). Let t be (-5 - 50*(-5)\/40)*-4. Let v be p(t). Solve 0*h - v*h = 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369758 is divided by 41079.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b*b\/b**(-1\/8))*b*b**(-6)*b*(b\/b**6)\/b*b\/(b**(-2\/5)\/b) assuming b is positive.\nAnswer: b**(-349\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of 0 + 1\/6*v**3 + 0*v - 6*v**2 - 1\/6*v**4. Let c = -3 + 2. Give r(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(152) + (-3*sqrt(152) - sqrt(152))) + 2*(1*sqrt(152) - sqrt(152)) + sqrt(152))\/(-2*(sqrt(648)*2 + sqrt(648)) - (sqrt(648) - -6*sqrt(648)*-1)).\nAnswer: 11*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p**4\/9 - 10249*p**3\/9 - 38542*p**2\/9 + 133444*p\/9 - 10264\/3 = 0 for p.\nAnswer: -6, 1\/4, 2, 2566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, -1\/14, 98, 52 in descending order.\nAnswer: 98, 64, 52, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23769*a - 5182 = 23590*a - 17175 for a.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 3 + 2)*(-4*j - 12*j + 4*j) + 0*j + 4*j - 3*j)*(2*j**2 - 2 + 2).\nAnswer: -22*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 194 is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of -3*o**2 + 0 + 0*o**6 + 1\/21*o**7 + 0*o + 0*o**3 + 0*o**5 - 7\/12*o**4. What is the second derivative of h(i) wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -118*d**4 + 42122*d**3 + 1216356*d**2 + 3303648*d + 110592 = 0.\nAnswer: -24, -3, -2\/59, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -40.9 + 60.9. Sort 4, c, 0.4.\nAnswer: 0.4, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4894*v + 121512 = -93824 for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 5 = -3*s + 5*v, 0 = -5*s + 4*v - 4. Which is bigger: s or -1\/82?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 at most -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 507, 2047, 4595, 8133, 12643, 18107, 24507, 31825?\n\"Answer: -3*r**3 + 522*r**2 - 5*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.67246 - -116.50668.\nAnswer: 115.83422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 5*q**2 - 5*q - 3. Let d be m(5). Suppose -d = -4*s - 21. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1239 - -3198. List the prime factors of r.\nAnswer: 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-56)\/(-35) - (-2)\/5. Let g(u) be the third derivative of -1\/3*u**3 + 0*u + 0 + 0*u**4 - 2*u**x - 1\/60*u**5. What is the derivative of g(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 28 - 26. Suppose 5*c - i*c - f = -11, 4*c = 3*f - 23. Let b be (6\/(-4))\/(c\/6). Which is bigger: b or 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-44)*4)\/((-3)\/(-2))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 3, 70, 5\/7?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1972.0503 - -0.01\nAnswer: -1972.0403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -21*p**2*q**2 - 3387037*p**2 - 12230*p*q**2 - p*q wrt q.\nAnswer: -42*p**2*q - 24460*p*q - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = m - 33. Let z be 68 + -68 + -1 + 14. Is z at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 6235\/4, 7, -0.02, -0.4, 2\/17, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2b1b2493 + -3?\nAnswer: 2b1b2490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 5:58 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 258?  (a) 5  (b) -10  (c) 28  (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(720) + (sqrt(720) + 2)*1 + (2*(sqrt(5) + -1) - (sqrt(20)*5 + sqrt(5))) + -5)**2.\nAnswer: -150*sqrt(5) + 1145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 2*l + 33. Let g(o) = -o - 16. Let k(m) = -13*g(m) - 6*n(m). Let p be k(-3). Solve 0 = 2*v + p + 3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1799 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 222 - 244. Let g = 26 + j. Suppose 8\/7 - 10\/7*n**3 + 64\/7*n + 138\/7*n**2 - 200\/7*n**g = 0. What is n?\nAnswer: -2\/5, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10013, 80199, 270709, 641705, 1253349?\n\"Answer: 10027*q**3 - 3*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(363) + 2 + sqrt(363)*-2 + 1 + (sqrt(363) - ((sqrt(363) - sqrt(363)*-1) + 3) - 4*(sqrt(363) + 1*sqrt(363))))**2.\nAnswer: 108900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from ffufbfbbu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-4\/13)\/p*p**1)**(-3\/29) assuming p is positive.\nAnswer: p**(-27\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/70)\/(14\/((-1120)\/72))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -423032 (base 9) to base 7.\nAnswer: -2065223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5904 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 626955 divided by -15.\nAnswer: -41797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -m + 5*q, -2*m + 5*q - 4 = -17. Suppose -m*o - 7*o = -3311. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*t**3 + 10\/9*t**4 + 2\/9*t**5 - 14\/9*t - 2\/3 - 4\/9*t**2.\nAnswer: 2*(t - 1)*(t + 1)**3*(t + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 312 (base 10) to base 12.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -159 divided by -10?\nAnswer: 159\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mimmimmmmimiimmimmm. What is prob of sequence miii?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 78 - 90. What is the tens digit of -3 - -202 - 2 - i\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-5688)\/(-158))\/((-6)\/(-748))?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes before 3:13 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1407119 and 8771?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/5, 74, -0.5 in increasing order.\nAnswer: -8\/5, -0.5, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23 - 10044?\nAnswer: -10067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1, 2\/17, -55, 0.\nAnswer: -55, -1, 0, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 6*i - 38. Let r be y(-7). Let s = -63 - r. Suppose q + 13 = -3*z - 0*z, 3*z + s = -2*q. Is z not equal to -15\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22 + (-1160)\/(-60))*(1530\/168 - 9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -2352 and 0.4870663.\nAnswer: -2351.5129337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9605316 divided by -117138.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((23\/414)\/((-2)\/9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5676643.\nAnswer: 7, 810949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-4))\/o)\/o**2*o*o\/o**(-3\/4)*o*o**(1\/8) assuming o is positive.\nAnswer: o**(47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**0\/p)**(-40)*p**(2\/5)*p*p**1)**(-30) assuming p is positive.\nAnswer: p**(-1272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 218*f**2 - 8. Let a(q) = -218*q**2 + 10. Give 4*a(h) + 5*k(h).\nAnswer: 218*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 - (462 + -488 + (15 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 1:52 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-4)*(-8 + -4). Let y = v - 14. What is the nearest to 0.1 in -2\/5, -1\/4, y?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36 divided by 696.\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(2\/11))**(-4\/19))**25 assuming l is positive.\nAnswer: l**(-1300\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-3*(-1 + sqrt(567)))**2 - ((sqrt(567) + 0)*5 + sqrt(567))).\nAnswer: -30672 + 1296*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 528147 and 15144.\nAnswer: 4225176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*i**2 + 17*i**2 - 39*i**2 + 7)*(7*i**2 - 12*i**2 + 7*i**2).\nAnswer: -2*i**4 + 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 2 + 23. Let u be ((-6)\/5)\/(2\/j). Solve -9 = u*x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5059525615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2056 + -2052. Which is the closest to 0.1?  (a) -0.5  (b) -1\/5  (c) s  (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1582 and -21328232.\nAnswer: -21329814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52 - 52 - 14*a**2)*(-2*a**2 - 3*a**2 + 4*a**2 + (-4 + 3 - 1)*(5*a - 5*a - a**2)).\nAnswer: -14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, -3\/10, -0.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -636169182.674\nAnswer: -636169178.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5)\/15 - (0 + 30\/(-9)). Solve -11*b + 0*b = d*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13221525 (base 6) to base 12.\nAnswer: -1918a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -99301*p - 1787406. Determine f(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-0.925\nAnswer: 0.4625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81 + 45\/2*a + 3\/2*a**2.\nAnswer: 3*(a + 6)*(a + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rqrq when four letters picked without replacement from rqrrrrqqrrrrrq.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:58 AM and 11:33 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/25 and 11\/105.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d + 3*g + 56 + 66, 0 = 5*d - 3*g + 98. What is the remainder when (-2961)\/(-11) - (-4)\/d is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2362*t - 1788. Let b(r) = -4*r + 3. Let y(o) = -5*b(o) - v(o). What is the derivative of y(s) wrt s?\nAnswer: 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -79*t - 2. Let n be u(-3). Let b = -108 + n. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(153)*-3 + -3))**2.\nAnswer: 864*sqrt(17) + 22176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 18 + 6. Let g = u - -50. Suppose 8*i + 54 = z + 3*i, 3*i = -2*z + g. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3359*c**5 + 3319*c**5 - 2085*c**2 - 2081*c**2 + 4166*c**2 + (-c**2 + c - c)*(0*c**2 + 0*c**2 - 2*c**3).\nAnswer: 6680*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1263070195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 0*r = 852279. Let q = r + 229605. Let h = q + -183698. What is h rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2142075*r**3\/4 + 18428273760*r**2 + 87234423*r + 103236.\nAnswer: 3*(r + 34412)*(845*r + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y = 56 + 610. Suppose 80*w = y*w - 36. Is 5*(185 + w + (-4)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 0*v = 0. Let d(a) = -5*a - 46. Let x be d(10). Let m be (x\/(-56))\/4 + (-933)\/2079. Which is smaller: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 452 and 26354.\nAnswer: 5956004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from opohpoo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(24\/25 - 1). Let m = -39 + r. Suppose 38 + 60 = 2*z. Calculate the remainder when z is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2*t, 151*t = 150*t + i. Solve 3*z - 8*z - 20 = t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mttd when four letters picked without replacement from tmytdnqmn.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06 - 0.04. Let f = 1.2 - 0.2. Which is the nearest to f?  (a) y  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 444.366524 to the nearest 10.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 15 + -13 + (-4)\/1. Let y be (z - 2) + (-56)\/(-14). Which is greater: y or -12\/43?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 4*v + 30. What is s(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 118*o**2 - 7*o - 7. What is a(-1)?\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 17*j**5\/60 - 11*j**2. Let x(p) = -2*p. Determine x(t(s)).\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t + 658 - 664 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*l + 23*l + 10*l - 14*l.\nAnswer: 17*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the third derivative of 1\/210*r**7 + 1\/8*r**4 + 0*r + 0*r**3 + 1\/120*r**6 + 0 - 1\/12*r**5 - 81*r**2. Factor p(d).\nAnswer: d*(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 divided by 132?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**3 + 7*h**2 - h. Let n(b) = b**3 + 8*b**2 - 2*b - 1. Let p(o) = -6*g(o) + 5*n(o). List the prime factors of p(-5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*n**4 + 60*n**3 - 48*n**2 - 112*n.\nAnswer: -4*n*(n - 14)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = 3*d**2 - 4*d + 5. Let q(c) = -c**2 + c - 1. Let z be (-690)\/322*(-28)\/10. Give z*q(g) + k(g).\nAnswer: -3*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4\/5 + 20464*o**3\/5 + 52285476*o**2\/5 - 314347552*o\/5 + 52408322 = 0 for o.\nAnswer: -5119, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (26*j**2 + 317*j - 24*j**2 + 1155 - 315*j)*(-j + 4*j - 2*j)*(3 + 3 - 7) to the form h + u*j**2 + n*j + y*j**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h + 1. Suppose 0*x - 3*x + 6 = 0. Let o be (x\/6)\/((-330)\/(-54) - 6). Suppose -3 = -0*y + y + 2*j, -12 = 3*y + o*j. Determine l(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 36982957?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0  (b) -2\/9  (c) 0.1  (d) -103  (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*f = 25*f - 28. Let q(v) = v**2 - 6*v - 6. What is q(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 42 - -80. Calculate the common denominator of o\/(-4)*1\/(-2) and ((-59)\/4 + -1)\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -756*z**3 - 46*z**2 + 55*z + 1100. Let i be v(-20). Round i to the nearest 10000.\nAnswer: 6030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 4*v + 3 + 0*v**3 - 5 - v**3 + 5*v**2 + 0*v**2. What are the prime factors of f(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 38*c**2 - 870*c - 65. Calculate j(23).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-80)\/(-8) + -1*1. Let y = -7 + d. Suppose -2*g + 97 = -q - 4*q, -3*g + 155 = y*q. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 20689 and 141967?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -2700*c - 229. Is r(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 48353995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express y**3 - 2 - y**3 + 136*y**4 + y**2 - 143*y**4 in the form k + w*y**3 + j*y**2 + r*y + i*y**4 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/27*(-24)\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/14*49\/392\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 377203*b**2*s**3 + 13*b*s**3 + b*s - b + 153*s wrt b?\nAnswer: 754406*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 80800.13 - 80184. Round u to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = 4*z + 4. Let f(n) = 1 + 1 - 3*n - z. Let t be ((-869)\/66 - -13)\/(1\/(-6)). Determine f(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/sqrt(196))\/(sqrt(2) - (-2*sqrt(200) - sqrt(200))).\nAnswer: sqrt(17)\/217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from foofofrr. What is prob of picking 2 f, 1 r, and 1 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of 0*m**4 + 4*m**2 + 0*m**3 + 1\/30*m**5 - 3*m + 0. Let n(r) = 7*r. Calculate n(c(s)).\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 - -1. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 PM and 3:59 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 48*v**2 - 72*v + 27.\nAnswer: 3*(4*v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -4*k + 96. Suppose 2*c = -2*c + k. Solve -3*t + c = -t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/((-479)\/4311)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x + 2 - 58 = 0. Suppose 426 = -x*m + 682. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 247506903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3854 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*f**2*h + 1412*f**2 - 8298*f*h**2 - 17*h**2 + 64 wrt h.\nAnswer: -2*f**2 - 16596*f*h - 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -142 - -112. Let x = g + 121. Let r = x + -95. What is the second smallest value in 5, r, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 28.2452 decades?\nAnswer: 2.82452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -599, -579, -533, -449, -315, -119, 151?\n\"Answer: 2*m**3 + m**2 + 3*m - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-195)\/(-39) + (73 - -3). Calculate the highest common factor of t and 1593.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the third derivative of 13*m**4\/6 - m**3\/6 + 21*m**2. Let z(s) = -2*s**2. What is z(w(i))?\nAnswer: -5408*i**2 + 208*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/118323 and -31\/78882.\nAnswer: 236646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 27006.21 tonnes?\nAnswer: 27006210000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of -h**4\/12 - h**3\/3 + 2*h**2. Let c(g) = g**2 + 9*g - 7. Let t be c(-10). Calculate s(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*n*n**(2\/7))**(-39))**(-45)*(n**2)**33\/(n\/n**1)**10 assuming n is positive.\nAnswer: n**(28542\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1021221101 (base 3) to base 15\nAnswer: -7831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 <= 144\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 1, 4*r - 447 = 22*b - 23*b. What is the remainder when r is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 69 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3307.3 + 3082. Let u = 225 + w. Let h = 4 + -10. Put u, h, 0.1 in decreasing order.\nAnswer: 0.1, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -912  (b) 0.03  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6109 divided by -348?\nAnswer: -6109\/348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = -2*c + 29, 2*t + 2*c = 5*t - 87. Suppose 5*z + 37 = 10*z - 2*p, 0 = -2*z + 5*p - 2. Solve 0 = 5*u + z - t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -173\/60 and -6\/835.\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 151807, 1214661, 4099557, 9717517, 18979563, 32796717, 52080001, 77740437?\nAnswer: 110689047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s + 43*s = 83*s + 25*s + 8475 for s.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence svxv when four letters picked without replacement from {x: 7, s: 5, t: 1, r: 1, v: 2}.\nAnswer: 1\/624","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-4 + sqrt(2057) + -1 - (-2 + sqrt(2057)*1 + sqrt(2057))).\nAnswer: 12 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -13688 divided by -472\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 451232?\nAnswer: 2, 59, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 93\/304 or -1?\nAnswer: 93\/304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u - 2. Let d be t(-3). Suppose 3*y - d*y = -11*y. Suppose -183*r + 185*r - 998 = y. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110464000 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 - 7. Let b be 8\/q*90\/4. Let d be (b\/9)\/(6\/9). Solve 2*l - 3*w = 25, l - 5*w = 5*l + d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7190*y + 7266*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 49320, 49330, 49340?\n\"Answer: 10*z + 49310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 8950 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13*7\/(-273))\/(1\/(-57))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -43808*l**2 - 3576*l**2 + 7930*l**2.\nAnswer: -39454*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -10871.\nAnswer: -2\/10871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 206 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -4*j - 23372, -4120 - 1733 = -y - 4*j. Suppose 22*m = 15*m + y. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 28971 and 12?\nAnswer: 115884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 2424 + 144. Is 8 a factor of (-1)\/8 - v\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 9:19 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 24234\/210*(4 - -6) is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4364 divided by -4.\nAnswer: -1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (260\/(-2080))\/(2\/208)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -23786383?\nAnswer: 5\/23786383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**8)**(-1\/26) assuming j is positive.\nAnswer: j**(-4\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 274\/(-4) - -1 - (30\/(-25) + (-385)\/(-550))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m - 192 = -21*m - m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -212012121 (base 3) in base 4?\nAnswer: -10020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -33 - -33. Suppose f*z + 4*r = -z - 31, -3*z - 61 = 4*r. Let x be 45\/z + 4 + 1\/(-1). Solve x = 4*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.5 - -1.53. Let t = q + -0.0300005. Round t to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 447798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 2 + 2)*(3*j - 2437*j**2 + 2682*j**2 - j).\nAnswer: 245*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + k + 71 = -3*k, -3*v + 2*k = -73. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3328) - sqrt(3328)*-3)\/(sqrt(1008)\/sqrt(7)))**2.\nAnswer: 3328\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*y + 5727 = 750. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**4 - 236*m**3 - 6672*m**2 + 20160*m + 172800.\nAnswer: -2*(m - 6)*(m + 4)*(m + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/2 - 1\/5*0. Suppose 9*l - 1585 = o*l. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 - 13*g - 8)*(2*g**3 - g**3 - 3*g**3) - 2*g**4 + 6*g**4 + g**4 + 3*g**4 + 0*g**4 - g**4 + (2*g**2 - g**2 + 0*g**2)*(2*g**2 - 2*g + 2*g).\nAnswer: 35*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 6*l - 12 = v, 5*l - 20 = 3*v. Suppose v = 11*u - 12*u + 142. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1004833 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 8 = k. Let q(o) = o**3 - o**2 - 6*o + 4. What is the units digit of q(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v + 13 - 5 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 30\/13, -0.4, 5, -49, -5, -1\/3?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.4 + -1.23. Let v = y - -0.03. Is 4 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6832463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 162 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6976246721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 11*z**2 + 2*z)*(0*z - z**3 + 0*z) + 2*z**5 + 2*z**5 - 3*z**5.\nAnswer: 12*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 5*y + 120. Let l be s(-17). Suppose -5*f - 3*q - 19 = 0, -3*f - 53 + l = 4*q. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 691134 is divided by 185?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -235 + 224 + (-2 - (-1 + 1 + -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*sqrt(432)*-3 - 1*(sqrt(432) + 2)).\nAnswer: -96*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*b + 78. Suppose -l + b = -105. Suppose -3*z + z + l = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 357*v + 24 = 365*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190106924 is divided by 5463?\nAnswer: 5450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5913, 5922, 5919, 5898, 5853, 5778, 5667?\nAnswer: 5514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3670624 by 11.\nAnswer: -3670624\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -236*s + 669. Let d(b) = -470*b + 1345. Let u(x) = -6*d(x) + 11*w(x). What is the derivative of u(t) wrt t?\nAnswer: 224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 960 = -u. Suppose -y + u = -40. What is y rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 5*j**4 - 45*j**3 - 55*j**2 + 45*j + 50 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0375 + -0.0155. Let k = 0.0211 - g. Round k to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 5*j - f = 8, 0 = -3*j - 2*f - 2. Suppose -5*h + 0*h = 5. What is the fourth smallest value in 0.04, 1, j, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 113 - -22?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 545*p**2 - 9145 + 9145 - 512*p**2.\nAnswer: 33*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 49 - 24 - 110*f - 23.\nAnswer: -110*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -50, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**2\/2 + 11823*b + 738792 = 0. What is b?\nAnswer: -62, 7944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6375 = -14*s + 65*s. Calculate the remainder when s is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*34\/(-44)*9922\/451.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 350599 to the power of 1\/2, to the nearest integer?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*11 + 28\/(-14). Let j(t) = 8189*t**2 + 14. Let f be j(c). Suppose -4*y - 376045 = f. What is y rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.98613737 to 3 dps.\nAnswer: -1.986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -30 + 30 - 6*y**3 + (-2*y**2 - 2*y**2 + 3*y**2)*(3 + 4 - 5)*(4*y - y - 2*y).\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-2))\/((39672\/(-48))\/(-29))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - 72 = -4*b, 2987*o - 1495*o + 2*b - 18 = 1491*o for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 32\/203 and (-223062)\/15834 - (-1 + -13).\nAnswer: 2639","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -105*x**2. Let j(d) = 18*d + 12 - 12 + 18*d - 28*d. What is n(j(m))?\nAnswer: -6720*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh biggest value?  (a) 0  (b) 119  (c) 0.783  (d) 0.3  (e) 0.5  (f) 4  (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -923 - -926. Let t(v) = v**2 - 7*v + 6. Determine t(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 163*h**2 + 8*h - 119. Let s(y) = 164*y**2 + 12*y - 119. Let b(r) = -3*a(r) + 2*s(r). Let t(z) = 8*z**2 - 6. Calculate 6*b(p) + 119*t(p).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94e33a (base 15) to base 7.\nAnswer: 114135361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from agkqz. Give prob of sequence kz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2162 + -400?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-78)\/182*(-2)\/(-6)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -7*w**4\/24 - 25*w**3\/2 + 46*w**2. Determine t(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11343 (base 9) to base 8.\nAnswer: 16624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192*w - 4382 + 397 = 239 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c - c**2 - 2*c)*(-2*c + c + 2*c) + 2*c**3 + 2 - 2 + (6*c + 14*c - 8*c)*(4 - 4*c**2 - 4).\nAnswer: -47*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u + 9. Let z be d(-7). Let h(v) = 0*v + 6 + v - v**z + 19. Is h(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 5*a**4 - 3*a**3 - 14*a**2 + 3*a + 3. Let i(f) = -f**3 + f**2 + f + 1. Let l(r) = 3*i(r) - w(r). Find the third derivative of l(h) wrt h.\nAnswer: -120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 435*o**2 - 435*o**2 + 112774*o**3.\nAnswer: 112774*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -96 + 205. Suppose -2*v + 6*v + a = 5*c, 4*v - 41 = -c. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 - -10011111101?\nAnswer: 10100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 481215280 and 1210300?\nAnswer: 2406076400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 13 - -1*(3 + 1). Let p = h + 0. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 91642917, 183285831, 274928745?\n\"Answer: 91642914*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4842644 to the nearest integer?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49495.\nAnswer: 5, 19, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -978714924 divided by 68023\nAnswer: -14388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f**(-1\/2)\/f))**(-4))**(-2\/33)\/((f**1)**(2\/73)\/((f\/f**(2\/7))\/f*f\/(f\/(f**(5\/3)*f)))) assuming f is positive.\nAnswer: f**(16636\/5621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-109)\/((-14715)\/(-567))*10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:24 AM and 12:33 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 3*x**2 + 4. Let y be v(2). Solve 4*m - 2*m + 5*b + 29 = y, 0 = 4*m - 4*b - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1600036 + 0.16. What is c rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.1 smaller than 4378248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t + 24. Let d be b(-6). What is the nearest to 0.1 in 8, 2\/13, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.3074 * 2.2.\nAnswer: -0.67628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*q + 5*m = 10, -q + 3*m + 11 = -4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 16439212 and 9682?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 3\/50 of a second?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71 + 109 + 68)*(-2 + 1 - 1)*(3*p - p - 4*p) + (-1 + 1 + 2)*(3*p - 5*p + 3*p).\nAnswer: 426*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:53 AM and 5:07 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 55296 (base 11) to base 15.\nAnswer: 18b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, c: 2, l: 1, o: 14}. Give prob of sequence jc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.42 + -0.12. Let y be (-1)\/(1*(3 - 28\/8)). Put y, g, -3 in descending order.\nAnswer: y, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j**3 - 136*j**2 - 91*j - 54. Let s be u(46). Let b(o) = o**3 + 10*o**2 + 7*o - 7. What is b(s)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/60544 and 133\/379776.\nAnswer: 4177536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -25*z + 20*z + 25, -18 = l - 3*z. Let h(t) = 4*t + 3. Calculate h(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3096 - 3096 - 1639*m**2.\nAnswer: -1639*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1028869187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -127 - -31. Let l be -4 - (v\/(-3) + 0). Let u = -30 - l. Let c(b) = -2*b + 9. What is c(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xccqcqpqxtqptzx. Give prob of picking 1 x, 1 c, and 1 z.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**5\/20 + l**4\/4 + l**3\/2 - l**2 - 2*l. Suppose -v + 2*r = -9, -12 = -252*v + 250*v + 2*r. What is s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 4*g + 31 = -112, -4*g = h - 37. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h + 5*h - 4*h)*(33*h**3 - 56*h**3 - 70*h**3 - 72*h**3).\nAnswer: -330*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 9, g: 1, h: 6, x: 1}. Give prob of picking 1 x and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 11*z - 5. Let s be u(9). Let n be (210\/(-9))\/((-2)\/6). Suppose 0 = 4*h - n - s. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183 and 386191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 840, 3861, 8912, 15987, 25080, 36185, 49296?\nAnswer: 64407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/(-9 - (-12 + 27 + -26)). Let r = -1 + 4. Suppose 10 = -5*p, -3 = r*o + 5*p + 7. Solve 3*y + o*y = n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*p - 23 = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-24)\/((g**4*g*g)\/g)*(((g\/g**(-3))\/g)\/g)**(-27) assuming g is positive.\nAnswer: g**(-83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*p - 9*p - 310*p**3.\nAnswer: -310*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -12*y - 428. Let o be g(-36). Suppose 0 = -5*p + o*p - 2*c + 18, 130 = 5*p + 2*c. What is the highest common divisor of 602 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -112, 2, 357 in decreasing order.\nAnswer: 357, 2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -397 + 336. What is the closest to d in 0.2, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/16 - 741\/(-152). Solve -3*d - x - 8 = 0, 1 = -d - 2*x - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -9*r**3 + 502*r**2 - 1304*r - 1109. Calculate z(53).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -66, 0.16, 3, -0.3, 9, 185?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/2*2286\/27 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-9)\/18)\/(1\/(-160)). Let t(k) = -j*k + 21*k + 41*k. Let f(h) = h. Give f(t(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 23272, 186637, 630058, 1493563, 2917180, 5040937, 8004862?\n\"Answer: 23338*q**3 - q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5627889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.004 and 5.93031?\nAnswer: 5.92631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24*n - 168 + 168 + 3 + n - 3 - n - n + 3*n + (-n - n + 4*n)*(-5 + 4 + 3) + n + 1 - 1 to the form j + g*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4934.\nAnswer: 2, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (25\/(-2))\/((-215)\/172). Suppose -49 = -c - 7. Suppose 0 = s*t - 3*t - c. Solve -16 + t = 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/(-14))\/(536\/22512))\/(3\/2*-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 0, -3\/2, 42\/13, 1\/6, 485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 5*s - 60 = 0, 4*q + 0*s = 2*s + 36. Let b(x) = 13 - 6 + x**2 - 12*x + 7*x + 8 - 7*x. Determine b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b**2 + 25*b - 7. Let n be p(7). Let o = -28 - n. Solve o = -3*t + 5*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5926, 1543, 1 in increasing order.\nAnswer: -5926, 1, 1543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 51486.435 nanoseconds to weeks.\nAnswer: 0.0000000000851296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -6574 at least 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u + 8. Suppose -2*n = -5 + 1. Let a(b) = b + 1. Let l(t) = n*a(t) - f(t). Suppose 2*r = -0*r + 10. What is l(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eenxexeeexxexn. What is prob of picking 1 x, 1 n, and 1 e?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 5:38 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 463*r**5 + 119*r**2 wrt r?\nAnswer: 27780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**6\/30 + 2*r**5\/15 - r**4\/6 + 3*r**2. Let l(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-17)\/l**1*(l\/((l\/(l*l**(-2\/21)))\/l))\/(l*l*l**(-8\/9)))**22 assuming l is positive.\nAnswer: l**(-23848\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 6*b - 1752 - 1775 = -3564, z + 3*b = 16 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 679 and 9086281.\nAnswer: 63603967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*b**2 - 42*b**2 + 95*b**2 in the form y*b**2 + q + f*b and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 4*z + 8 = 0, -4*z = 6350*n - 6345*n - 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2746*y**2 - 441*y**2 - 445*y**2 - 438*y**2 - 442*y**2 - 986*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 35*m - 3. Let x be v(-4). Let s = -239 - x. Is ((-53)\/6)\/(16\/s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*p + 20*p - 42*p + 119 - 581 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen quarters of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -8372218?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 116351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -5*c**4 + 1605*c**3 + 80*c**2 - 25680*c = 0.\nAnswer: -4, 0, 4, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 235 = 3*g - 4*q, 4*g - 209 = -q. Suppose g = -3*i - 3*z, z - 21 = 2*i - i. Let p = -17 - i. Solve -p*b - 4 = -b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149.404514928 less than -0.2?\nAnswer: -149.604514928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 9781*n**6\/120 - 7657*n**3\/6 - 10844*n**2. Find the first derivative of u(b) wrt b.\nAnswer: 29343*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-32 - -24)\/(1\/(26\/(-4))). Factor -25*l - 60*l**3 + 96*l**2 + 5*l + 36*l**4 - q*l**4.\nAnswer: -4*l*(l - 1)*(l + 5)*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7990 is divided by 92?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*a**3 - 561588*a**2 - 14615484*a - 95031404 = 0.\nAnswer: -13, 140579\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 4) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 26336982?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 98444 + -138.67.\nAnswer: 98305.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from uuvvuav.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvn when three letters picked without replacement from vnnnvn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 4184, -1\/4, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1094367571431 + -1.\nAnswer: 1094367571430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tdtttttttttt. What is prob of sequence td?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1497415211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 98 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -4*c**2 - 54*c + 8. Give h(-14).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of -17*q**4\/6 - q**3\/6 + q**2\/2 + 80*q. Find the second derivative of p(i) wrt i.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/276*32\/(-100)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -165 + 313. Suppose 0 = -3*o - o + t. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1421*u**2 + 2843*u**2 - 161 - 1418*u**2 as z + d*u**2 + s*u and give z.\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27794?\nAnswer: 2, 13, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -g**2 + 6*g + 5. Suppose 0 = 2*z - 5*h + 80, 2*z - 2*h + 74 = -0*h. Let x = 42 + z. Calculate b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 32\/(-18) - (-4)\/(-18). Let s be (-4 - -1) + -15 + 13. What is the third smallest value in s, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**2 - 8. Calculate the remainder when j(5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38932*j**3 + 58086552*j**2 + 21666292848*j + 4452128 = 0. Calculate j.\nAnswer: -746, -2\/9733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -207 + 831\/4. What is the nearest to 2 in -1, 0.4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1 - 3)\/(1\/(-14052)*8).\nAnswer: 3, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/9 + -3 - (-22)\/33. What is the remainder when 812 is divided by (4\/(-6) - z)*(-1443)\/(-13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1263*g**2*m + 3*g + 754*m wrt g.\nAnswer: -2526*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 201997?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -60487 + 113257. Is p\/105 - (-3)\/7 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 4686?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 3*z + 242 = 224, 24 = -k - 5*z. Calculate the greatest common factor of k and 4593.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 354 divide 147264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 110965488?\nAnswer: 2, 3, 109, 127, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 7 = 5*l, -9 - 20 = -3*s - 5*l. Let v = -26 - -8. Let x = v + s. Solve -j - 2*j = x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 7, 39, 3 in decreasing order.\nAnswer: 39, 7, 3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(1100))\/sqrt(2))\/(sqrt(132)\/(sqrt(12) + sqrt(300)*-2)).\nAnswer: 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (45\/75)\/(33\/605)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 4, 2, 0?\n\"Answer: -2*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3494 by -3.\nAnswer: 3494\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7357384.\nAnswer: 2, 337, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13957923 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 235939 = -5532*b - 189866 - 88671 for b.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -576*c + 39734. What is r(69)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 37772.65cm?\nAnswer: 377726.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 + a + 10. Let k be l(0). Suppose -5*s + k*s = 0. Let c(t) = s - 2*t + 0. Let j(i) = i**2. Determine j(c(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:34 PM and 3:22 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5790, 10632, 18698, 29994, 44526?\nAnswer: 62300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -1542*q**2 + 0 + 0 + 1863*q**2 as m + d*q**2 + g*q and give d.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 404, 1356, 3208, 6260?\nAnswer: 10812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**2 + 15*j - 5*j + 0*j - 8*j - 74 as v*j**2 + d*j + r and give r.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*b = -3*o + 13, 0 = 3*b + 6. Suppose o*u = -2*u + 10. Solve 0 = -z + a - u*a, -a = 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 186 - 34. Calculate the smallest common multiple of v and 20.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 166438304 to the nearest integer?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5885197, 11770389, 17655581?\nAnswer: 23540773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-8)\/5)\/(12\/(-30)). Suppose 0 = f*q - 32 + 12. Suppose -q*j - 4*l = -82, -3*l + 79 = 5*j - 0*l. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6*3\/18)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*4\/(3 - 2). Suppose a - h = -3*a. Suppose 0 = -0*k + k + 4. Put 3, k, a in decreasing order.\nAnswer: a, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -36, 2, -101, 1, 4.\nAnswer: -101, -36, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/2  (b) 5  (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20561241.\nAnswer: 3, 23, 297989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 319387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 103685503 to the nearest integer?\nAnswer: 10183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.167 + -0.023. Let v = -4 + m. What is v rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 2, z: 3, t: 1, e: 6, y: 4, n: 3}. What is prob of picking 1 e, 2 n, and 1 y?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 673376412?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101001111001000100000 + -101?\nAnswer: -101001111001000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12023.01nm to micrometers.\nAnswer: 12.02301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 195898968271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -0.41, 3\/46, 313, -2 in descending order.\nAnswer: 313, 19, 3\/46, -0.41, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i + 68 - 110 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 198 in -24\/151, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + -1 + (-21)\/9. What is the third smallest value in 0.5, 4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14 - -22. Suppose -4*q + 2*q + 8 = 0. Calculate the greatest common factor of q and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37938?\nAnswer: 2, 3, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1086883\/34 + 31970. Find the common denominator of 77\/12 and g.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 PM and 5:49 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1034 is divided by 233.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1632 and 952?\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the third derivative of 1\/20*k**5 + 0 + 0*k + 0*k**4 - 4*k**2 + 2\/3*k**3. Find the first derivative of f(x) wrt x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2. Let b(x) be the second derivative of -3 - 24*x + 31\/6*x**3 + 0*x**2. What is u(b(s))?\nAnswer: -961*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -223 - -445\/2. Let d = 10 + -19\/2. Let c be 0 - -1 - 0\/(-3). What is the closest to t in d, c, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-27)\/(-12) - 2\/8. Suppose -n + 3*n = -t. Let o be (0\/(-2))\/(1 - n). Solve 5*x = -o*x - 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3720 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 466 = -0*h + 2*h, -468 = -5*p + h. Solve p*m - 2 = b + 95*m, 0 = -3*b - 2*m - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40550, 81099, 121638, 162161, 202662, 243135?\nAnswer: 283574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 11 = -56. What is the remainder when 4\/(-10)*(10 + (-2585)\/22) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 3*p - 2832. Suppose -n = 5*n + p. What are the prime factors of n\/(-12) + (-10)\/(-60)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 + 69\/(-6))*(-36)\/630.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 3*h + 16 - 12*h**2 + 32*h**2 - 21*h**2 as c + x*h**2 + t*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 126 = 2*f + 106. Suppose f = 5*b - 15. What is the greatest common factor of 55 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -379972 + 583972. Let z = -4 + 4. Suppose z*u - i = 2*u. Round u to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12635 - 3*b**2 + 12368 - 24773 + b in the form k*b + s*b**2 + i and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*g + 1870 = 111706. Is g a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1427 + 713 + 710 - p)*(p + 3 - 3 + 0*p + p + 0*p - p - p + p - 3*p + 2*p + 0*p + (-1 - 2*p + 1)*(1 - 2 + 3)) to i*p**2 + d + t*p and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -63  (b) 0.5  (c) 7  (d) 3  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3130032 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -495440*n**3 - 1873916*n**2.\nAnswer: -2972640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12384 and 1073280?\nAnswer: 3219840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -31972 divided by -16?\nAnswer: 7993\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 5*b**3 - 5*b**2 - 5*b. Let k(z) = -8*z**3 + 7*z**2 + 7*z. What is 5*k(x) + 7*r(x)?\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 327 - 1333\/4. Suppose -3*m + 5*u = 200, 3*m = -0*m - 5*u - 190. Calculate the common denominator of o and m\/10*7\/(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -15, 59, -3 in descending order.\nAnswer: 59, 3, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**3 + 13511340780 - 13511340780.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*z + 97 = 16. Let t(o) = -o**2 + 4*o + 1. Let i(d) = -d**2 + 2*d + 1. Let p(v) = -6*v**2 + 1. Let c be p(-1). Calculate c*i(b) + z*t(b).\nAnswer: 2*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of -k**2\/2 - 24*k + 30. Give x(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-3)\/6)\/(2\/(-20)). Solve -6 = p*d - q, q - 6*q - 14 = -3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 185*l + 6. Let a(n) be the first derivative of n**4\/4 + 2*n**3 + n**2 + 13*n - 3. Let c be a(-6). List the prime factors of g(c).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 18\/1001 and 73\/286.\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7 - -3)\/((-6)\/9). Suppose 0 = -0*b + b - o. Let y = 11 - b. Solve 3*u - 19 = -4*s, 25 = y*u + s - 1 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.1 - 0.02. Let z = l + -4.08. Which is the third smallest value?  (a) 3\/5  (b) -5\/6  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-148)\/(-777)*-39)\/(5\/(35\/(-2)))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6980452043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*a**3 - 5832*a**2 + 171963*a + 568458.\nAnswer: 3*(a - 1914)*(a - 33)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the third derivative of m**5\/6 - m**4\/2 + 8*m**2. Find the second derivative of h(z) wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -302 - -432. What are the prime factors of b?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 793938424 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*-14*(-2)\/(-4). Let p = 16 - g. Suppose p = s - x + 2*x, 0 = -5*x - 10. What is the remainder when s is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -13*a**2 - 3*a - 3. Let l(w) = 78*w**2 + 17*w + 18. Calculate -6*l(b) - 34*v(b).\nAnswer: -26*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 + 19*g + 6. Let o be ((-3)\/(-2))\/((-27)\/72). Calculate r(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 21512 and 40?\nAnswer: 107560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 9 = 3. Suppose 0 = 2*h - 7*h + 45. Calculate the lowest common multiple of h and (y\/(-6))\/(2\/(-24)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n, 1 p, and 2 a when four letters picked without replacement from pbapbaabnb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40\/26*((-83)\/(-249))\/(10\/6).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1282671426 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -32, 3, -13, -4, -26, -2 in ascending order.\nAnswer: -32, -26, -13, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1873 (base 9) to base 16.\nAnswer: -5a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(-5*m + 7*m - 27*m)*(-19*m**2 + 46*m - 46*m).\nAnswer: 950*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(1\/43)*c**34 assuming c is positive.\nAnswer: c**(1463\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 324\/9041 + -518759\/49038384. Calculate the common denominator of q and -59\/2.\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 612376.\nAnswer: 2, 41, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -12*((-30)\/9 - -3). Suppose 4*q - 52 = b - 13, 54 = m*q + 2*b. Calculate the greatest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*i - 6*i. Calculate the remainder when 0 + 0 + 5\/1 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (146 - 31 + 67)*(4*r - 2*r - 4*r).\nAnswer: -364*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1\/3, -2\/11, 285, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.5 * -40.46.\nAnswer: -20.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 - 5 = 5*w. Suppose 50 = w*o - 68. Is o a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13859 - 13857. Solve 5*n - 21 = -m*j, 2*n - 5*j - 2 = -9*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30900 - 21431. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9128064 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 46206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 33419968 and -4.\nAnswer: 33419964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 19 - 23 = 0. Suppose 0*f = -5*f + 2*h - 9, f = -2*h + 3. Let r be (0 + 1 + f)\/1. Put w, r, 1 in decreasing order.\nAnswer: w, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 9 - 1 = 0. Let a = -5 - -10. Find the second derivative of -a*b**4 - 106*b**2 + 106*b**d - 2*b wrt b.\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*d - 64 + 206 - 56 - 88.\nAnswer: 11*d - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) be the third derivative of -k**10\/5040 - k**6\/120 - k**3\/3 + k**2. Let u(v) be the first derivative of i(v). Find the third derivative of u(y) wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 + 1490*s + 1485.\nAnswer: 5*(s + 1)*(s + 297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1180.9872 seconds?\nAnswer: 19.68312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 69 = -2*c, -4*w - 2*c = -98 - 8. Calculate the remainder when w is divided by 37 - 35 - (-2 + -2 + -1) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -396 + 557. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*j - 3*j + 18. Let q = j + 2. What is the third derivative of 2*n**2 - q*n**2 - n**2 + 4*n**4 + n**2 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8180 a factor of 1643353820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q + 4. Suppose 5*h - 16 = -1. Suppose 4*i - 9 = 2 + 1. Suppose 0 = -i*u - 15, 0*u = -h*l + 2*u + 28. Let n(o) = -8*o - 5. Give l*j(c) + 5*n(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 2*g**2 - g. Let w(d) = -d**3 + 3*d**2 + 4*d. Let s be w(3). Let u be s*-3*3\/(-27). Let m be -1*(-2)\/u*2. Determine q(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -897 * 5.\nAnswer: -4485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 164 * -4.4\nAnswer: -721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (0 + sqrt(13) + -5))*-4 + -5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7561 or 7563?\nAnswer: 7563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - 421*l - 25624. Calculate q(-75).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3 - 5)*(-4*u + u + u)*(-2*u - 4*u + 46*u).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 709 - 5*x - 867 - 4*x + 10*x - 2*x**2.\nAnswer: -2*x**2 + x - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) 0  (b) 1320\/23  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 48545040 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-14) + ((-33440)\/(-504))\/22 + -3.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1572829.7 less than 362?\nAnswer: 1573191.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -18*x - 14. Let h be o(3). Let u = -66 - h. Solve -23 = -a + 5*k, 4*k - 2*k + u = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2133403 - 3?\nAnswer: 2133400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + -6. Let x = 6 - l. Suppose 3*f = -x + 46. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2805 - -2804. What is the nearest to b in -0.3, -1\/5, -4, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 867470929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 PM and 1:30 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1919 + -1242. Find the third derivative of s*d**4 + 21*d**2 - 11*d**6 - 677*d**4 wrt d.\nAnswer: -1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 1, p: 2, b: 4, w: 1}. What is prob of sequence btb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*i + 3*i + i)*(3 - 7 + 2)*(1 - 1 - 2*i) to the form p*i + y*i**2 + c and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -7 - -1 - (18 + -9 - 13)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 40, 4, -10, -8, 2 in decreasing order.\nAnswer: 40, 4, 2, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 10\/145 + (145664\/116)\/4. Are 311 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + g - 40 = 0. Suppose -4*i = i - g. Suppose z = i*z - 30. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 6*j = 4. Let c(l) = 11*l**2 + l + 3. List the prime factors of c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (956\/(-6))\/(-2) + (-1)\/(-3). Suppose -9*a + 5*a + k = 0. Calculate the lowest common multiple of 4 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1600032022654 minus -0.3?\nAnswer: 1600032022654.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -12*c**2 - 1. Let t be u(1). Let i be (-5720)\/(-660)*(1 + -2 - -7). Let v = t + i. What is the remainder when v is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/((-1)\/(310\/15)). Let n = m + 21. Calculate the lowest common multiple of 14 and n.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12.814 times 943\nAnswer: 12083.602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10492?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -33 + 915*d**4 + 13*d**2 - 3*d**2 + 411*d**4 - 323*d**4 wrt d?\nAnswer: 24072*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*q + q + 104. Let w = 79\/6 - q. Sort 5, w, 2.\nAnswer: w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 5.1, 5 in ascending order.\nAnswer: -1\/6, 5, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 69*k - 314*k + 5880. Calculate the remainder when 444 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 173 is divided by 53.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 351201719.\nAnswer: 11, 19, 47, 35753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 48659716 and 5213541.\nAnswer: 145979148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = 2. Let q be (d\/5)\/((-7)\/(-5)). Factor -q*i**2 + 0*i - 6\/7*i**4 - 2\/7*i**5 + 0 - 6\/7*i**3.\nAnswer: -2*i**2*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -y**2 - 6*y - 7*y**2 - 20*y**2 - 4*y**3 + 0*y**2 + 4 + 30*y**2. Let s(v) = 5*v**3 - 2*v**2 + 7*v - 5. Calculate 4*g(j) + 3*s(j).\nAnswer: -j**3 + 2*j**2 - 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 6435*x + 1402830. Give z(-218).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + (-23 + 16 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3065 = -45*b + 2345 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + u - 29, 11 = g + 3*u - 2*u. Let m = g - 8. Suppose 0*o + 4*o - 12 = 0. Put o, m, -5 in decreasing order.\nAnswer: o, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j + 15 = 55. Suppose 20 = -j*h + 8. Let d(q) = -18*q + 10. What is the units digit of d(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-93295)\/141)\/((5\/9)\/(-5))?\nAnswer: 3, 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 2*n + 22, -3*n + 8*n + 30 = -5*x. Let w = x - -2. Calculate the smallest common multiple of 4 and (2\/(-2) - w)*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 433  (b) 4  (c) -1\/4  (d) -2\/5  (e) 765  (f) 3\/2  (g) 16\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*t - 101 - 109 + 211)*(-5 - 4 + 3).\nAnswer: 66*t - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -711 + 744.3. Let h = 33 - q. Which is the nearest to -2?  (a) h  (b) 0  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -349*q - 171. Suppose -304*c = -310*c - 48. Is x(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of 1\/24*t**4 + 2 - 1\/40*t**5 + 1\/12*t**3 - 1\/4*t**2 + t. Let n(c) be the first derivative of k(c). Factor n(y).\nAnswer: -(y - 1)**2*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 762 and 2717673.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -6*s + 4. Let t(u) = 7*u - 3. Let d(h) = 6*p(h) + 5*t(h). Let c be d(5). Solve 2*i = -2*w - 4, -c*i - i + w + 20 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**3 - 7*k**2 - 10*k - 4. Let a be l(-3). What are the prime factors of ((-3072)\/(-36) - -8)*(-36)\/a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/(-360)*12\/(-4)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 6. Let i be o(-10). Suppose -22 = -2*m - i. Differentiate 0*d**3 - 27 + 0*d**m - d**3 with respect to d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**3 - 19*q**2 - 73*q - 3. Let d be t(-5). Solve d*h + 20 = 8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/66963 and 37\/101.\nAnswer: 66963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 473101?\nAnswer: 473101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -23. What is the smallest common multiple of 2 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of 2*m**5\/35 + 3*m**4\/14 + 2*m**3\/21 - 3*m**2\/7 - 4*m\/7 + 191. Let q(g) = 0. Calculate g.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by -91.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -144*j - 22801 - j**2 - 157*j + 110*j - 111*j.\nAnswer: -(j + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of -z**3\/3 - 7*z**2 - 2*z. Let t(l) = 1. Calculate s(r) + 3*t(r).\nAnswer: -2*r - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19*1*(-1)\/(-6)*(-1344)\/224.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 7644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 20899897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 2*k**2 + 9348*k - 4. Calculate s(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*b = -58, -349 = 5*g - 3*b - 85. Let u be ((g\/(-40))\/9)\/((-3)\/(-2)). Put 1\/3, 2\/17, u in increasing order.\nAnswer: u, 2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.07 + 1.07. Let h = 0.287 - 0.057. Let d = 0.07 + h. What is the nearest to l in -0.3, d, -24?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -90220 divided by 20.\nAnswer: -4511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b + 4. Let f(t) = -9. Let z(o) = -o - 8. Let j(l) = 3*f(l) - 4*z(l). Let c(p) = -5*g(p) + 4*j(p). Let i(d) = 4*d. Give c(i(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2 = 0, 3*g + 2*x - 6*x - 11 = 0. Find the first derivative of 0 + o**4 - g + 4 wrt o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 2380 = -m. Suppose 0 = -3*o + 2*b - 359, m = -4*o - 3*b + 5*b. What are the prime factors of (o\/6 - -1)*-2?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 + 8*i**2 - 5*i - 10. Let u be f(7). Suppose u*l = 0, 5*l - 348 = -4*p + 9*l. Calculate the smallest common multiple of p and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 594165 by -3601.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6256)\/(-272))\/(1\/(1\/((6\/10)\/(-3))))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x*x*x**(-26))\/(x*x**2\/x*x))**(-1\/21) assuming x is positive.\nAnswer: x**(26\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 382\/13 or 29?\nAnswer: 382\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/7, -2063\/5, -1, 2\/9.\nAnswer: -2063\/5, -1, -3\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -205 times 1.23?\nAnswer: -252.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 52867, 105746, 158651, 211594, 264587, 317642?\n\"Answer: 2*i**3 + i**2 + 52862*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1365 + -2729\/2. Let l = 1 + 3. Let d = 1 + 1. Which is the nearest to d?  (a) 1  (b) l  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 81 and 183789.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = 5*s - 4405, 37*p - 34*p = -2*s + 4408. What is the highest common factor of p and 3185?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 390\/40 + 0 + (-7)\/4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 78, 172, 364, 702, 1234, 2008, 3072, 4474?\n\"Answer: 8*j**3 + j**2 + 35*j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 7*z**2 + 5*z + 8. Let t be w(6). What is the nearest to 1 in t, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*b**3 - 58*b**2\/3 - 16*b - 8\/3.\nAnswer: -2*(b + 1)*(b + 2)*(9*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4140938 is divided by 2070456?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + -2.03. Let w = 2.1 + g. What is the closest to w in 1\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 + 2*o + 3*o**3 + 2*o - 2 - 3*o**2. Let s be 6*(-1)\/(-6 + 3). What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2784694*-6.\nAnswer: -1.6708164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03314 - 817.\nAnswer: -817.03314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (0 - (-4 - 1 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -2*t**3 + 4*t**2 + 3*t. Let l be f(-2). What is the highest common divisor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*c**5 - 160*c + 14*c**4 - 33*c**5 + 14*c**2 + 120*c**3 + 2*c**2 - 41*c**5 + 14*c**4 = 0 for c.\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 15.96, 2, 913, -2\/5 in increasing order.\nAnswer: -2\/5, 2, 15.96, 913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 12*c**2 + 14*c + 35. Let o be j(-11). Suppose o*w = -12*w - 494200. What is w rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of w**5\/60 + w**3\/6 - 37*w**2. Let i(z) = 2*z**3 + 5*z**2 + 2. Determine -i(j) + 5*s(j).\nAnswer: -2*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 6. Suppose 2*b - 2 - c = 0. Solve k + 2 = -n + b*n, -4*n - 2*k + 14 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -8 + 270\/33 + (-4)\/(88\/26). Which is greater: t or -5\/14?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18162799867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 687 = 3*d - 525, -2*d = -5*i - 815. Suppose -4*w + 3588 - d = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 4*v + 26 = 0, 2*a - a + 3*v = 17. Factor -1600 + 2*g**2 + 202*g - 42*g - 6*g**a.\nAnswer: -4*(g - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 507 is divided by 32?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**11*b**(-1\/7) assuming b is positive.\nAnswer: b**(76\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 99, 286, 551, 876, 1243, 1634, 2031, 2416?\nAnswer: 2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the second derivative of -t**4\/16 - 8*t. Factor q(s).\nAnswer: -3*s**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 0*a - 3*a - 22*a + 14*a.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24979 + 24986. Let x(t) = 4*t**3 - 2*t**2 - 4. Let a(c) = 9*c**3 - 5*c**2 - 9. Let f be (-1)\/(1 - 4\/6). What is f*a(p) + o*x(p)?\nAnswer: p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 8) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 9.9. Let k be (130\/(-15) - -9) + (-9)\/30. Which is the nearest to t?  (a) -0.3  (b) 5  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/2)\/(15\/525). Suppose -5*j = 5*v - s, 7*j = 2*j + 2*v + 77. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7478, -14860, -22242, -29624, -37006?\n\"Answer: -7382*a - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3\/(10\/8 + -2). Let c = -1 - -0.5. Let x = -2\/151 - -155\/302. What is the closest to -0.1 in g, c, x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p - 4*p = -83*p - 37*p. Solve p = -22*a + 8*a - 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + 14*q - 13. Suppose 2*v - c - 32 = 0, 0*v - c + 43 = 3*v. Let j be u(v). Let p = 40 + j. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -520 - -520.24. Let d = -5 + 4.86. Let l = m + d. Is -11 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26)\/(-182)*(-45738)\/363.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000422 to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 + 6*r**2 - 30*r. Let u = 15182 + -15176. Let j(i) = i**3 + 7*i**2 - 30*i. What is u*j(d) - 7*x(d)?\nAnswer: -d**3 + 30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29327 + 29328. Let f = 1 - 0.6. What is the fourth biggest value in 0.2, u, 10\/9, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -481 + 500. Suppose 0 = g*v - 36*v + 20621. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 0 + (4 - 1). Let r(d) = -d**2 - 4*d + 1. Let x be r(-5). Is -42*x\/8*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) -192  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -358*g**5 + 226*g - 9*g**3 - 383*g + 9*g**3 - 302*g wrt g?\nAnswer: -7160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 0.5. Let f = 0 + 0.05. Let m = 0.05 + f. Which is the second smallest value?  (a) m  (b) h  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 + 41*r - 22*r - 21*r + 20 - 2*r**2 to u + d*r**2 + z*r and give u.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes after 5:02 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 296 = -107. Let x = 211 + n. Calculate the remainder when x is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 7*d + 10. Let v be t(1). Let f(m) = 8*m - 136. Let u be f(v). Which is the closest to -2\/5?  (a) u  (b) 0.3  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -2*d**5\/9 - 3286*d**4\/3 - 172340*d**3\/3 - 797672*d**2\/9 + 3236848*d\/3 - 1326272 = 0.\nAnswer: -4876, -51, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1d28b (base 16) to base 2.\nAnswer: 11101001010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 142988816?\nAnswer: 2, 109, 163, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (80\/(-72))\/(0 + 32\/(-36))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 516, 2096, 4728, 8412, 13148, 18936?\nAnswer: 25776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -15. Calculate the common denominator of ((-118)\/m)\/((-8)\/6) and 22\/6*561\/(-170).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5\/703903 + 80967655\/2648083086. What is the common denominator of l and -10\/21?\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8844354206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 4, 3*g + 5*w = 2*g - 268. Let i be g\/(-5) + (-3)\/5. Suppose i = 4*o + 13. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes before 9:08 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/((-10)\/4*4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -216, -211, -206?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -578*m**3 + 211503086*m**2 + 149296512*m + 26346456.\nAnswer: -2*(m - 365923)*(17*m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 4*p**5 - 6*p**4 - 58*p**3 - 62*p**2 + 6*p + 20 = 0.\nAnswer: -2, -1, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2501*d**3 + 1505*d**2 + 13951021*d?\nAnswer: 15006*d + 3010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9323 is divided by 126.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24\/25 + 269\/150. Sort -2, -1, -0.4, h in descending order.\nAnswer: h, -0.4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4377 divide 67550672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 866173999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 3, k: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 2*n - 0*n - 604, 1232 = 4*n + 4*k. Suppose -3*c + 6 = -1 - 5. Calculate the least common multiple of c and n.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = 4*q + 5*l, 3*q - 2*l - l = 63. Let h be (40\/(q\/4))\/2. Let a(v) = 46*v + 7. Is a(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t**4 + 12499*t**3 - 2862641*t**2 + 168035241*t - 627138900 = 0.\nAnswer: -12725, 4, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = d - 5. Let h(c) = 36*c - 4. What is the remainder when h(8) is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 6*t**2 - 17*t + 8. Let d be s(8). What is the greatest common divisor of 22 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -125 (base 8) in base 10?\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*n + 3*n + 0*n + 134*n + 29628 - 29628 + (-5 + 4 + 3)*(n - n + n) + 5*n + n - 4*n.\nAnswer: 139*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 9) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 - 6785915.557046.\nAnswer: -6785915.507046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*n + 93 + 17 = -30*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/3 - ((-17116)\/(-1556) - (-7)\/(-2))\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 3. Suppose 0*y = -p*y. Suppose 0 = 4*k - 2*v - 28, 3*v - 7 = -k - y*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/1275 and -111\/50.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-3\/5)*v)\/(v*(((v*v*v\/v**(-1\/4)*v*v*v)\/v)\/v)\/v*v))**(-3\/7)*(v**(2\/3))**(1\/6)\/((v**(2\/5)*v*v)\/v)**44 assuming v is positive.\nAnswer: v**(-74857\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 126*i - 206*i + 6*d = -296, 3*d = -2*i + 2*d + 3*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -257, -504, -743, -974, -1197?\n\"Answer: 4*s**2 - 259*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x - 2*x - 2*x + 4*x.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 497.1606 millennia to years.\nAnswer: 497160.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 29484 and 433.88568?\nAnswer: 29050.11432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -0.05448299 times -4\nAnswer: 0.21793196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**3\/6 + 65*o**2\/3 + 1391*o\/2 + 1896 = 0. Calculate o.\nAnswer: -79, -48, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 207204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -1\/2, -4, -9, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -179\/10297680 and -89\/128400.\nAnswer: 51488400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(84) - sqrt(84)*1 - sqrt(84)))\/(sqrt(192) + sqrt(192) + sqrt(192)*5 + sqrt(192)).\nAnswer: 3*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 3*a**2 - 12*a + 29. Calculate the remainder when 257 is divided by h(6).\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1824 by 1824.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 572, 833, 1080, 1313?\n\"Answer: -7*i**2 + 282*i + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 732911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 20 = 3*x. Let o be 5 + -3 - x\/(-2). Suppose o*c = c - 3. Solve c*y - 4*h = -13 + 1, 3*y + 12 = -2*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**2 + 11*b - 6. Let p be f(4). What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:17 AM and 1:29 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2 + 2 + 0 + 0. Let y = 4 - u. Let b(r) = 8*r. Let j be b(1). Solve 14 = -y*a + 5*x, 4*a + 0*x - 2*x = -j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 456 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/6*(-28)\/70)\/((-4)\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2*c + 3. Let a be (-8)\/c*(-2)\/(-4). What is the highest common divisor of a and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0507 rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 17?  (a) 3  (b) 0.4  (c) -5  (d) -0.25  (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 548627359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -61, -253, -573, -1021, -1597, -2301, -3133?\nAnswer: -4093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -808806 + 351?\nAnswer: -808455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -234118809*a**2*r - 3024*a*r - 1702*a + 3 wrt a.\nAnswer: -468237618*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1  (b) -4  (c) 0.144  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -3*v**3 - 26*v**2 - 4*v + 1. Let t(k) = -10*k**3 - 84*k**2 - 11*k + 3. Give 7*j(b) - 2*t(b).\nAnswer: -b**3 - 14*b**2 - 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - 6*d - 14. Let l be w(-6). Let o be (-40)\/50 - l\/5. What is the third smallest value in 0.1, 1\/4, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -20801, -39651, -58501, -77351, -96201?\n\"Answer: -18850*k - 1951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 8. Suppose 0 = -5*h + 2*a + 22500008, 0*h = c*h + a - 13499996. What is h rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2603, 4, -1, -5, 9 in decreasing order.\nAnswer: 2603, 9, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**3 + 55*b**2 - 81*b + 110. Let p = 75 - 1. Calculate the remainder when p is divided by h(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136*h - 2070114*h**3 + 2070147*h**3 + 136*h.\nAnswer: 33*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 1444*n + 563. What is the units digit of q(9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/(z**(-36)\/z)))\/(z**(-23)\/z))\/((z*z**(-12\/7))\/z**(9\/7)) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, -11, 0.1, -28, -0.06.\nAnswer: -28, -11, -0.06, 0.1, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4830 at most as big as 4826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -4ec7b (base 15) in base 6?\nAnswer: -5225142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1151*n = -590*n - 2244 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/((-420)\/(-48))*462\/(-2640).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from quzvo. What is prob of picking 1 z and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.09 + 7.09. Let g = 627.9 + -602.63. Let i = g - 0.27. Put h, i, -3\/5 in decreasing order.\nAnswer: i, h, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1186.99995668 - -1187. Round p to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:11 AM and 1:27 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m, 1 f, and 1 w when three letters picked without replacement from {l: 2, w: 1, p: 3, m: 3, f: 1, v: 2}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17d0 (base 15) to base 16.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 283715, 283688, 283625, 283514, 283343, 283100?\nAnswer: 282773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 + -27. Suppose z = x*p + 34, -z + 176 = 4*z - 4*p. Suppose -s - z = -2*l - 2*l, -4*l + 5*s = -20. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 609*c**2 + 11*c. Let p(j) = 18*j + 1. Calculate p(q(i)).\nAnswer: 10962*i**2 + 198*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 400*n*q**2 - 4*n*q*v**2 - 2*n*q + n*v + 79*v**2 - 5*v wrt q.\nAnswer: 800*n*q - 4*n*v**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from lfgggfgffinfngflgg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and -106\/8861 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 504 - 499. Suppose -z*o = 16*o - 6468. Is 31 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4412 = a + 3*a. Is a - 0\/(1 - 0\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36.6 + -36.1. Put 5, g, 0 in ascending order.\nAnswer: 0, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -11*o**2 + 87*o + 303. Let i(q) = 3*q**2 + q - 5. Let d(t) = f(t) + 3*i(t). Factor d(k).\nAnswer: -2*(k - 48)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, 0.3, 16, 28935 in descending order.\nAnswer: 28935, 16, 0.3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -304400 to the nearest ten thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2272133*j**2*t*y**2 - 125*j*y - 753*t*y + 7*y**2 wrt j?\nAnswer: 4544266*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9741978803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from {a: 3, d: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 8. Suppose i - 6 = 5*b + 2, b = 4*i - 13. Let o be 9\/81 + (-24)\/(-27). Solve -1 - o = g*y, 4*y = -i*j + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*(-6)\/(-6) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -122457*s**3*x**3 - 6*s**3*x**2 - 19591347*s**3 + 2*s*x**2 + 1729*x**3 wrt x?\nAnswer: -734742*s**3 + 10374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 30.54 - -0.46. Let y = r + -34. Which is the nearest to -3\/5?  (a) 0  (b) -4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1863\/(-150) + 3 + 5\/7 + 1529\/(-1925)?\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 3*w**2 - 1. Let q be o(2). Solve -u + 6 = q*u + s, -5*u = -2*s - 14 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -0 - 72. Let a = m + 30. Which is bigger: a or 11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 3, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 + 4230*n + 580237. What is q(-133)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = p - 5*v + 1, 0 = 2*p + v - 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1245*v + 75*v + 497*v - 1068*v - 1260*v)*(-v - 4*v + 4*v).\nAnswer: 3001*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1241 - 1237. Solve -12 = i*l, -4*r = -r + 4*l + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 7*i**3 - 5*i**2 - 2. Let w(m) = -4*m**3 + 3*m**2 + 1. Determine -6*k(u) - 10*w(u).\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62 in 1.822, 2\/5, -6\/5?\nAnswer: 1.822","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5.1 in -46, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.7397514 rounded to 1 dp?\nAnswer: 21.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1145587 is divided by 1482.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(15)\/sqrt(3) + 1 - sqrt(320)*-1) + -1 + sqrt(20) + sqrt(20) + -4)**2.\nAnswer: -104*sqrt(5) + 861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(24) - (sqrt(96)\/sqrt(4) + sqrt(24)))\/sqrt(8))**2 + 1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 78 + 8. Factor -6*v**2 + 2*v**2 + 74 - c + 16*v.\nAnswer: -4*(v - 3)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3 and 1103.\nAnswer: 3309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -3*j**2 - 1. Let k(y) = -2*y**2 - 1. Determine -5*k(x) + 3*t(x).\nAnswer: x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726 is divided by 260?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/249374 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6736 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*(-2*(sqrt(450) + 2 + 3))**2.\nAnswer: 2400*sqrt(2) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -18.47 - -19. Let r = -39.33 - -38.6. Let w = r + l. What is the fourth biggest value in -4, -2\/7, 0.3, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 963115645.\nAnswer: 5, 73, 2638673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*m - 2*i + 54, -m + 116 = 5*i - 19 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22\/9, 0.1, 19.628, -0.9.\nAnswer: -0.9, 0.1, 22\/9, 19.628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 8:39 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 612, 609, 606?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.0205 * 272024\nAnswer: -5576.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - z)*(0 - 1 + 2)*(-45*z**2 - 2203 + 2203).\nAnswer: 45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*q + 0*q = 0, 10 = -5*q. Let m = -7276.96 - -7277. Is m smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*h + 17*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(91)*2 + sqrt(91)*2*-4)\/((-2*sqrt(686))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*s**4 + 0*s**4 + 3*s**4)*(535 + 4 + 176)*(s - 4*s + s).\nAnswer: 4290*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 63 and 1197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4289.\nAnswer: 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*r - 3 - r**3 - 11*r + 6*r**3 as s*r**3 + g*r**2 + w*r + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 5*c, 3*c + 2 - 3 = 2*h. Let w be 10\/(-35) + (-38)\/14. Let u = w - c. Solve u = 2*f - 2*d - 10 + 24, -3*d - 19 = 5*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 856361 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 4\/101  (c) -2  (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 46\/75 and -161\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10653, -10659, -10667, -10677, -10689?\nAnswer: -10703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + 5 + 24 - 23 - (-6 + -47).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 363  (b) 0.05775  (c) 2\/13  (d) 0.4  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 94.06654 micrograms?\nAnswer: 0.00000009406654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.0751*-0.3\nAnswer: 0.02253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -529 + 977. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 - -10a610?\nAnswer: 10a607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 38\/152 - 11\/(-22)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4.6 in 5\/4, -65\/272, 1?\nAnswer: -65\/272","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.8 + -3.8. Let k = 21 + j. Let m = k - 13. What is the closest to 0.1 in -0.4, 1, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2122323 * -1\nAnswer: -2122323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-26)\/8)\/((-32)\/(-192)) and ((-2)\/(-5))\/(-2)*37.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 10, -2\/7, 0.5.\nAnswer: -2\/7, 0.5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 246 = -179. What is the common denominator of 71\/20 and (y\/30)\/((-94)\/(-18))?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (100\/(-10))\/((-9)\/((-27)\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y**3\/11 - 5338*y**2 + 434563904*y\/11 - 52566737304\/11 = 0.\nAnswer: 123, 14618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 13*s + 49. Determine k(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -7*f**3\/6 + 21*f**2\/2 - 43*f. Let g(u) = -4*u + 10. Let s(x) = 5*g(x) - 3*l(x). Let p be s(18). Solve 1 = p*q - 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -11. Let v = 0.049 - -4.151. Let j = d + v. Which is the nearest to j?  (a) 2\/17  (b) 3\/5  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 71*o + 560. List the prime factors of i(12).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zdxxddbxzxbxbdzggx. Give prob of picking 3 z.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 822 - 102. Suppose -4*f = -20*f + x. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**3 + 9*z**2 - 9*z + 11. Let a be h(8). Let i = -1 + a. Let n(x) = 3*x + 0*x - 2 - 2*x + i*x. Determine n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*a**3 - 4*a**3 + 2*a + a - 250*a**4 + 251*a**4 + a**2 in the form h + x*a**3 + z*a**2 + b*a**4 + m*a and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -3*k. Let d(m) = 3*m - 47. What is r(d(t))?\nAnswer: -9*t + 141","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 450 and 50978925.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 105*j. Let g(t) = -3 + 8 - 5 + 7*t + 5*t. Give v(g(u)).\nAnswer: 1260*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 1 in ascending order.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 29*u + 80. Let h be x(-3). Let k(w) = -54*w**3 - 7*w**2 + 7*w - 11. Is k(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 7*h**2 + 3*h. Let m(n) be the second derivative of n**5\/20 + 2*n**4\/3 + n**3\/2 + 496*n + 1. Determine 5*m(s) - 6*o(s).\nAnswer: -s**3 - 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -4*a - 3. Suppose 0 = g + 7*g - 8. Let z be h(g). Let l(r) be the second derivative of r**5\/20 + r**4\/2 - r**3 + 4*r**2 - r. Determine l(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - 4*w**2 + 5*w. Let z(o) = -o**3 + 3*o**2 - 4*o. Suppose -21 = -4*c - 1. Give c*z(x) + 4*n(x).\nAnswer: -x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3187336?\nAnswer: 2, 398417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-774)\/10)\/((-8)\/(-40)). Is -387 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 20*y - 10. Let c be v(2). Let g(x) = -5*x - 2. Let j be g(-1). Determine l so that -34*l + l**4 - 5*l**j - c*l + 3*l**4 + 21*l**3 - 64 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 10) in base 2?\nAnswer: -1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 94*l**2 - 133*l**2 + 5 - 5. Let d(q) = 2*q**2. What is d(b(a))?\nAnswer: 3042*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0 = 6. Suppose -18 = -y*j + j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.4, 8\/7, -6\/5, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1472117105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w. Let k(n) = 16*n - 24. Let y(x) = k(x) - 2*o(x). Let g(m) = -5*m + 8. Let u(c) = 17*g(c) + 6*y(c). What is u(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**20*j*j)\/j**(-34)*(j\/(j\/(j*j\/j**(2\/41)*j))*j*j)**(-24))**(1\/48) assuming j is positive.\nAnswer: j**(-161\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 2*h**3 + 0)*(-1 + 2 - 2)*(2 + 10 + 6)*(0 + 1 + 2)*(-1 - 2 - 1) as s*h + c*h**3 + w + z*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 3*u - 5653997, 26*f + 14135005 = 21*f - 5*u. What is f rounded to the nearest 100000?\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 2:17 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, v: 2}. Give prob of sequence kvkv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 105, 258, 403, 540, 669, 790?\n\"Answer: -4*y**2 + 165*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -25*z**5 + 215340*z**4 - 463454685*z**3 - 1113144130*z**2 - 835062720*z - 185588640 = 0.\nAnswer: -1, -2\/5, 4308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - 2 - (-11 - (11 - -12))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g**4 + g**3. Let z be -6*4\/(-16)*-4. Let d(w) = -w**4 - 6*w**3 - 4. Let s(i) = z*q(i) - d(i). What is the first derivative of s(o) wrt o?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -59.163?  (a) -0.5  (b) -2\/3  (c) -0.2  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 128.90748 months to millennia.\nAnswer: 0.01074229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.5 - -3.5. Let i = 10.8 + -11.2. Let u be 4\/(-6)*(-2)\/(-4). Which is the third smallest value?  (a) u  (b) i  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.370745kg to tonnes.\nAnswer: 0.000370745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-8)*(-468)\/(-3). Suppose 2*x = -170 - w. Let i = x - -208. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -172*b + 97.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -80 divided by -151.\nAnswer: 80\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 4\/3  (b) 0.247  (c) -1  (d) 17  (e) 1\/94\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (0\/(-2) - (-14)\/(-15))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2. Let j(g) = 49*g**2 + 5. Determine k(j(z)).\nAnswer: 2401*z**4 + 490*z**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 8:43 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/((u**(-2\/5)*u)\/u))\/(((u\/(u\/(u\/(u\/u**29))))\/u)\/u)*(u\/u**(-3\/7))**37)**(8\/7) assuming u is positive.\nAnswer: u**(7912\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*o**3 + 0*o**3 - 5*o**3 + (4*o - o - o)*(o**2 + 3 - 3) + 0*o**3 + 3*o**3 - 2*o**3 + 615 - 1367 + 18317*o**3 + 752.\nAnswer: 18319*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2088?  (a) 1\/2  (b) 0  (c) -3  (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2*s**2 - 6*s - 4. Let v be a(7). Let d be -2*2*(-117)\/v. Differentiate -b + 9*b**2 - d + b + 0*b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 305259410 a multiple of 327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 116\/96 - (2\/(-12) + 54\/36).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of -v**4\/12 + v**3\/2 - 15*v**2. Let n be a(-11). Solve f - 4*f - 16 = -t, 5*t = 4*f + n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000231140361 rounded to five dps?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) 2\/15  (b) -6  (c) 104755  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 11 = -74. Solve y - 7 = -4*q, 5*y - 5*q + 19 = -a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2566\/3*z - 2\/3*z**2 - 2564\/3.\nAnswer: -2*(z - 1282)*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1242.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3*4\/(-6)*1. Let c be (-186)\/(-8) - 2\/8. Suppose b - c = 4*w, -4*w = b - w - 9. Solve -3*n - u*n = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -361243622 to the nearest one hundred thousand.\nAnswer: -361200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5508055?\nAnswer: 5, 7, 241, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 3*k - 14. Let g(w) = -2712*w**2. Calculate d(g(u)).\nAnswer: -8136*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 866.7 + -784. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -34.9908. What is x rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.7 in 2, 28, -0.3, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 274623155 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 1263 divide 1953145214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -5*d**5 + 130*d**4 + 755*d**3 - 4300*d**2 - 10500*d = 0.\nAnswer: -7, -2, 0, 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6*(-2 + (-16)\/(-6)). Suppose 0 = b - 0*b + v. Let c = -1 - b. Solve 2*y = 5*z + 26, -5*y - 12 = -c*z - 39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4684 and 13216?\nAnswer: 15475936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-21 - (21 - 34)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 399434 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1520 divided by 80.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-14)*i*i\/(i\/i**(-2\/7)) assuming i is positive.\nAnswer: i**(-86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 51 + -241115?\nAnswer: -241034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 0*d + 7 + 5*d + 1 - 5. Let o be q(6). Let t = o - 29. Solve 0 = 2*g + t - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 40 and 175?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3902 divided by 1.\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = 5*p + 3*j, -5 = -343*p + 342*p + 4*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - j + 12 = 0, g + 3*g - 3*j - 14 = 0. Determine q so that g*q**4 + 12*q**3 - 5*q**2 - 55*q - 14*q**3 + 16*q**3 + 41*q**3 = 0.\nAnswer: -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -3*b**2 - 6*b + 11. Let p be a(6). Let w = p + 142. What is the least common multiple of 1 + 1 + 1 + 0 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-1\/2))\/w**(-9\/5)*w**(-3\/5)\/(w*w**(-9\/4)) assuming w is positive.\nAnswer: w**(59\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000012145 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 511859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 15*c**2 + 30*c - 43. Give f(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -33 + 11 + -8 + 160\/10 + -4\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - (-2 + 3 - (48 - 49))) + -1 + -65.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f - 4 = 45*t - 44*t, 2*f = 4 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1794)\/(-92))\/13*(-2)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 - 6*p + 19. Let z(n) = 1. Let i(d) = -d + 2. Let k(b) = i(b) - z(b). Let f(o) = 5*k(o) - q(o). Let v be 0 + 0*(-3)\/(-15). Determine f(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-15)\/18)\/((-15)\/27).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = -4*p - 4471970. Suppose 4*v - 5*z + z - 1097588 = 0, 4*z = -4*v + 1097564. Let b = p + v. What is b rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-4) + -3 + (7 - 2) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -38.1 and 1542236443.\nAnswer: 1542236404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 5*u = -2, 6*d - 5*d = u - 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 720264944 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 826445?\nAnswer: 5, 67, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 10*t = t. Let u = 37 + -37.007. Put t, 0.5, u in ascending order.\nAnswer: u, t, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 18*t + 804. Let o(g) = -6*g - 268. Let w(z) = -3*f(z) - 10*o(z). What is the lowest common multiple of w(-39) and 85?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {e: 7, v: 4, z: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 305510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**7\/840 + i**4\/4 - 2*i. Let h(f) be the third derivative of k(f). Let g(l) = -2*l**2. What is h(g(v))?\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.361 - -0.361. Which is the closest to v?  (a) 0.5  (b) 9  (c) 4  (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 96 - 1638\/17. Is 0 greater than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.38 - 0.08. Let t = -30 - -37. Let g be t\/(350\/15)*2. Which is the biggest value?  (a) g  (b) n  (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -456 divided by -4.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5775391819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -65 + 113 = -2*h + 6*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y**2 - 8*y - 2. Let p(c) = c. Let i = 12 + -2. Suppose 3*d - d - i = 0. Suppose 7*b + 2 = d*b. Determine b*f(v) - 6*p(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 6*i**2 + 12*i + 9. Suppose -188 = -5*s + 4*t, 0*s + 2*t = -2*s + 86. Suppose -5 = 5*a + s. List the prime factors of w(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39 - 4*x**3 + 5*x**5 + 5*x**3 + 28 + (6*x - 5*x - 2*x)*(2*x**2 - 2*x**2 - 2*x**4).\nAnswer: 7*x**5 + x**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3383*y**2 - 101*y wrt y.\nAnswer: -6766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**3 - 2*s**2 - s - 9. Let x be k(-3). Suppose 4*r - 2*r**3 + x + 0*r**3 - 5*r**2 - 2 - 5 - r**4 + 8*r**2 = 0. Calculate r.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 * -345776.\nAnswer: -34577.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = p**2 + 2*p + 3. Let t be r(0). Suppose 5*y - t*a = 4, 0 = y - a + 5*a - 10. Solve -2*g + 7*g = -3*h, 0 = -2*h - y*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 12 = 2*k, 3*k - 54 = -2*k - 2*u. Let v be (-2 - -4)*k + 0. Suppose 5 + v = 5*f, 5*j = 4*f - 25. Is j at most -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 13 = -3. Let h = 60347\/19630 + -27\/755. Calculate the common denominator of b*(0 - 105\/(-132)) and h.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, w: 18}. Give prob of picking 3 w.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 4*o. Let m(q) = -q. Determine 2*m(j) + t(j).\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/14 and 23\/63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*q - 3 = -15*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a**(-1\/5)\/a*a**30 assuming a is positive.\nAnswer: a**(149\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 8) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -263792 or -263794?\nAnswer: -263792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -7*s - 9. Let i(b) = 3*b + 4. Let p(w) = 9*i(w) + 4*o(w). Let l(g) = -61*g + 122*g - 55*g. Give p(l(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the first derivative of -q**4\/4 + 4*q**3\/3 + 7*q**2\/2 - 5*q - 3. Give k(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 1:29 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -21, -69, -119, -171, -225, -281?\n\"Answer: -i**2 - 45*i + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 282*a + 1. Let r be d(1). Suppose 0 = -18*i - r + 769. Calculate the remainder when 186 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c = 5*j + 5, 3*c = 4*j - 2*c + 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(-8\/3)\/a)*a)\/a**(1\/3))\/((a*(a\/(a*a**5))\/a)\/(a*(a\/(a\/(a*a**(2\/9)*a)))\/a)) assuming a is positive.\nAnswer: a**(113\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1296575 divided by -27.\nAnswer: -1296575\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cqq when three letters picked without replacement from cccqcqcc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 6\/28*77*12\/792. Put m, 0.17, -5, -1\/5 in descending order.\nAnswer: m, 0.17, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2539.03 and -66.2?\nAnswer: 168083.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:47 AM and 1:10 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - 56\/21)*168\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27.1 - -27. Which is the closest to 0?  (a) -3  (b) w  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 100 and 28?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -1 + (sqrt(5) + -2 + (sqrt(5) - sqrt(5)*1) - (sqrt(180)\/sqrt(3))\/sqrt(12)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5769.961 decades in centuries?\nAnswer: 576.9961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7311887 rounded to four decimal places?\nAnswer: -1.7312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-15))\/((-2)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 16281193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 253921, 507844, 761767, 1015690, 1269613?\nAnswer: 1523536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -1\/3, -824, -0.458?\nAnswer: -0.458","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z - 3*t + 117192, z + 4*t + 7717 = 31152. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.353  (b) -5  (c) 4  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -9*k + 128. Suppose -88 + k = 8*q. Which is the second smallest value?  (a) q  (b) 2  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 7*m**2 - 20*m - 13. Let c be o(-9). Suppose -t = -c*n - 84, -t = 4*t + 4*n - 362. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2 + 17)\/(2 - 1). Let j be 0 - h - (-1 - -1)\/(-1). Let q = 7 + j. What is the second biggest value in 0.3, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11372504239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1802 - -1801.996794. Round i to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -220112231030 (base 4) to base 2.\nAnswer: -101000010110101101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 18632436\nAnswer: 1\/3105406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0, 33, 1.\nAnswer: -3, 0, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the second derivative of -r**3 + 2*r**2 - 2*r + 38. Let z be (-75)\/30*(-4)\/5 + 3. Let a(u) = -3*u + 2. Calculate z*a(s) - 3*d(s).\nAnswer: 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-15) + (374\/10)\/(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*f**3 - 160*f**3 + 7*f**2 + 508*f**3 - 247*f**3.\nAnswer: -110*f**3 + 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -5*n**2 - 27*n + 16. Give l(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 108140036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 24819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 75 = 3*z, 0*z + 6 = -2*z. What is the highest common divisor of d and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30716884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**3 - 3*k - 2. Let u(s) = 6 + 8*s - 6*s**3 - 792*s**2 + 792*s**2. Determine 8*j(o) + 3*u(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 697 + -694. Let p(l) be the third derivative of 0*l + 0*l**3 + 0 - 1\/24*l**4 - w*l**2. Let t(y) = -y. Calculate t(p(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*((b\/(b\/(b\/b**8)))\/b*b)\/b*b**5*b**5\/((b\/(b**(2\/3)\/b))\/b))\/((b*b**(-2\/9)*b**(-1))\/((b**(2\/5)\/b)\/b)**(-1\/15)) assuming b is positive.\nAnswer: b**(674\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 426 and 1542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -2.8 and 2966.2?\nAnswer: 2969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -2*t**3 - 4*t**2 - 2*t + 6. Let x be v(-3). Suppose -x = -5*s - 3*l, 0 = 2*s + 10*l - 6*l - 26. Solve -s*u - 5 = 1, p = -2*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -88555\nAnswer: -354220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 3166 = -i + u, u - 1898 = -3*i. Suppose 0 = -5*x - 173 + i. What is x rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-96)\/80)\/((-2)\/15) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 237*s**2 + 1442*s + 84. Determine n(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17358*u - 8681*u - 8675*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - (16 + (-15 - -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 37 = -9. Suppose -4*p - m*x + 3340410 = 1195214, -3*p + x = -1608885. Suppose p = -6*a - 357704. What is a rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q + 22. Let n be y(-11). Let l = 2 + -1. Suppose -z + 34 = l. What is the highest common factor of z and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48469361.\nAnswer: 19, 47, 54277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 15, 28, 49, 84, 139, 220, 333?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1727124101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1606.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/6 + (-46)\/(-6). Find the second derivative of -y - x*y**5 + 6*y**5 - y**5 wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2666153*s**3 - 151*s - 938184730 wrt s?\nAnswer: 7998459*s**2 - 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -5*s**4 + 4040*s**3 - 816080*s**2 = 0.\nAnswer: 0, 404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(2299) + sqrt(2299) + (sqrt(2299) - (sqrt(2299) + -1 - sqrt(2299))**2 - sqrt(2299)) + 0).\nAnswer: -66*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202*i**2 - 821*i + 7911*i**2 + 821*i.\nAnswer: 7709*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 1\/2, -3135010.\nAnswer: -3135010, -0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 30 + 100?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t. Let h be o(4). Suppose -4*y + 178 - 58 = 4*d, h*d - 3*y = 141. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (2\/5)\/((-9)\/(-15)). Let r(n) = -n**2 - 42*n - 123. Let t be r(-39). What is the second smallest value in t, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4136\/(-10) - (-18)\/(-45). Let f = m + 422. Solve -f*t + 18 = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 917 divide 126483644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 49*c**3 - 29*c**3 - 1 - 14*c + 1 wrt c?\nAnswer: 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3.7. Let x be ((-6)\/4)\/(6\/8). Let u be 14\/(-6) - 1*x. Which is the second smallest value?  (a) -0.05  (b) u  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 31, 161, 381, 691, 1091?\n\"Answer: 45*g**2 - 5*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -42*m. Let s(n) = -6*n. What is -15*s(b) + 2*v(b)?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(108\/(-6)))\/((-36)\/(-378))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -w + 4*w - 5, -27 = -3*k + 3*w. Sort k, -2, 333\/5 in decreasing order.\nAnswer: 333\/5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 6*i**3 - 16*i**4 + 12*i**3 - 183 + 385 + 2*i**5 - 8*i + 52*i**2 - 154 - 96*i = 0.\nAnswer: -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23403 - -23438. Calculate the greatest common divisor of 3045 and t.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(900) - (sqrt(900) + -1*sqrt(900)))*5 - sqrt(900))\/((sqrt(144)*2*-4)\/sqrt(12)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 5*t - 9*t + 12 + 0*t. Let d be a(6). Let m(b) = -136*b + 25. Is m(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -202 - -197.4. Let a = -6 + 0. Let s = a - g. Round s to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 5*h = 190, 0*h + 16 = -4*h. Let j(p) = m*p - 86*p + 43*p. Let l(s) = s + 10. What is l(j(z))?\nAnswer: -z + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -8*h - 9. Let l be j(7). Let d be (-25)\/(-2)*39\/l. Is -8 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7476343?\nAnswer: 7, 61, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2513?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.003418 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n + 2*g + 28, -4*n - 2*g + 19 = -7. Let i(p) = p**3 - 28*p**2 + 5*p - 92. What is the remainder when i(28) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*d**2*o + 26*d**2*t**3 + 2*d**2 + 3*o*t**3 - 3*o wrt t?\nAnswer: 78*d**2*t**2 + 9*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 6*t + 1. Does 4 divide v(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3\/76 + -473\/532. Let l = -21509\/18 - -1194. Calculate the common denominator of l and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49107, 48943, 48779, 48615, 48451, 48287?\nAnswer: 48123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**2. Let h(r) = 847*r**2. Calculate j(h(k)).\nAnswer: 717409*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*d + 4*d + 3*d - 18*d + 9*d**5 wrt d?\nAnswer: 180*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*j**2 - 223*j - 2 + 22*j - 2 + 180*j in the form x + f*j**2 + h*j and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaf when three letters picked without replacement from kfkkkakkkkkuak.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 525\/300*(-2 - -3)\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (-3 + sqrt(2057)*-2 - (sqrt(2057)*-1 + 5)) + 2 + 4 + 5 + (sqrt(2057) - 2*sqrt(2057)))**2.\nAnswer: -308*sqrt(17) + 8277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 0.5, 2, 2143, 2\/11, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*w + 1020*w = -429*w - 53546 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 12 = 0, 3*l + 1 = 3*f - 2. Let o be 135\/10 - f\/4. Let h be (-2)\/o - 732\/(-28). Calculate the highest common divisor of 78 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 123133 + -10144?\nAnswer: 112434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is 3856 times 0.5?\nAnswer: 1928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/7 - -1 - (-10120)\/154. Let a = j + -12. Let w be 3 - 1 - 8\/(-2). What is the greatest common factor of w and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121602 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 5*h**2 - 25462*h - 152809. Determine a(-6).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 251 a factor of 1634582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1265 is divided by 117?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r + 14. Determine i(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 11041786?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 2*c - 12, 3*c - 2*o = 2*o + 1. Find the second derivative of -u - c*u + 4*u**4 - 6*u**4 + 8*u wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*r**3 - 27204*r**2 + 190600*r - 163392 = 0. What is r?\nAnswer: -6808, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:39 PM and 7:32 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 60 = -4*l, 4*l + 0*w - 2*w = 60. Suppose -28*r + 209 = -l. Solve 0 = -s - 3*s - r for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.0305387562009 - -1316.9694624407991. Let t = 1317 - k. Round t to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*p + 13*p - 126 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/(-4))\/((-17)\/(-170)). Solve 20 = -d*m, -5*g - m - 6 = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 708998513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(2000))**2.\nAnswer: 80*sqrt(5) + 2004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 247c (base 13) to base 14.\nAnswer: 1c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -245 (base 12) to base 3\nAnswer: -110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the third derivative of -g**4\/24 - g**3\/6 + g**2. Let u(x) = x**3 - 2*x. Suppose -5*h + 11 - 1 = 0. Let m be u(h). Determine d(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 262 - 238 = 4*o. Suppose -4*u - x - 95 = -6*u, -4*x = 2*u - 100. Calculate the highest common divisor of u and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:32 AM and 7:48 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*v**2 - 6299936*v - 18899844 = 0. What is v?\nAnswer: -3, 1574987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18391 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67028 = 2*u - j, -83*u = -82*u + j - 33523. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -52*u + 45. What is c(-4)?\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 165 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) - (sqrt(63) + -1))**2*-6*-1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uyue when four letters picked without replacement from yunieuu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 92\/28 - 2\/7. Suppose x = d*x + 4*h - 24, 0 = h - 5. Factor j**3 - x*j**3 - 2*j - j + 2 + 2*j**3.\nAnswer: (j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153)\/(sqrt(27)\/(4*sqrt(3)) - sqrt(9) - sqrt(9)) + (sqrt(1700) + 1)*-5)*2*2.\nAnswer: -1416*sqrt(17)\/7 - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101101101 + -100000111?\nAnswer: 10001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y + 8 + 4*y - y**2 - 3. Let b be 1*(-6)\/(1 + -2). Calculate the remainder when k(b) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.7 - -4. Let f = q - 0. Let a = -15.1 - -15. What is the biggest value in a, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -98 + 101. Suppose 0 = -3*c - 4*p + 7, 2*p + b*p = -4*c + 9. Which is smaller: c or 1.6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-88)\/(-6) + (-2)\/(-6). Suppose -2*i + 11 = -7. Let a = s - i. Solve 2*x + 4 = 2*t - a, 9 = 3*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57645984.\nAnswer: 2, 3, 11, 79, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*t + 455*t + 4062 = -1305*t + 26118 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26729748 by 67842.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -0.57826 times 2.56\nAnswer: -1.4803456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -4, -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -0.089100794.\nAnswer: -0.589100794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03619 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from {j: 2, z: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oob when three letters picked without replacement from bbbbobbbbbbbbbbbbo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -81838 - -81837.200038. Let k = -2.712 - -1.912. Let r = p - k. What is r rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o\/(o*o**4*o*o)))**(-18)*(o**(-5\/8))**(3\/19))**(1\/25) assuming o is positive.\nAnswer: o**(-16431\/3800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2348 and -226.\nAnswer: 530648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + -2 + -31 + (51 - 54) + 10.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -477271, -1909077, -4295421, -7636303, -11931723, -17181681, -23386177?\nAnswer: -30545211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 14*j - 62. Let w be h(5). Suppose q - z - w = -0, q + z = 18. Let o be 2\/11 - 138\/33. Put o, -3, q in ascending order.\nAnswer: o, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(0 + (-4)\/(-6)). Let l = 81 - 79. Solve -g*h - 2*h = 5, 3*h + 7 = l*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/75 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 1. Let v(r) = r + 1. Let t(s) = 2*n(s) - v(s). Let u be t(-1). What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-5)\/(-15) - 38\/6. Let u = 11 + q. Is u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 29 + 9 = y, 5*v = -3*y - 26. Let t(q) = -q**3 - 4*q**2 + 7*q + 5. Let m be t(v). Let g = 108 - m. What is the remainder when 17 is divided by g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v - 3. Let m be o(-6). Let x be (1 - m)\/((-4)\/14). Let k(j) = j**2 - 6*j - 2. Let w be k(x). Which is the closest to 1?  (a) 4  (b) 2\/9  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11448 less than 11413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4  (b) 4  (c) -1  (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 77 + -91. Is -2 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17.9548 + -0.2252. Let j = 18 + o. Let l = j + 0.1799912. Round l to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 7*v**2. Let i(s) = -7*s - 19. What is i(u(g))?\nAnswer: -49*g**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 116*c**2*u**2 - c**2 - 1030*c*u - 3*u**4 wrt u.\nAnswer: 232*c**2 - 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/1 + 234\/9. Let a = -22 + o. Let f = -6 - -16. What is the smallest common multiple of f and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 736450 rounded to the nearest 10000?\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 858332349 to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10 + 243005051?\nAnswer: 243005041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -107 = 4*s - 8*a + 3*a, 86 = -2*s - 4*a. Let o = s - -28. Let u(y) = -8*y**2 - 2*y + 6. Let z(b) = 7*b**2 + 2*b - 5. Give o*u(q) - 6*z(q).\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - k - 12, -4*k - 7 = -2*l + 1. Let z = 12 + 8. What is the highest common divisor of z and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3\/11 + 79\/33. Put 0.1, -2, b in decreasing order.\nAnswer: b, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 536 - 841 = 0. What is the greatest common factor of k and 3519?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-8))\/8*8\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 231948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g**(3\/34)*g**(-18))**(-3\/4) assuming g is positive.\nAnswer: g**(1623\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1450 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6763*c**2 + 2049?\nAnswer: 13526*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 17*q**2 - q - 18. Let j be i(-17). Let u(x) = 218*x**2 + 19*x + 18. Let b be u(j). What is the highest common factor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12 - (-8 - (-2 + 3))) + (-3 - -10)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00196 rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 2 - (3421 - 3473)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -443348 (base 9) to base 3\nAnswer: -111110101122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -3\/61, -0.62.\nAnswer: -0.62, -3\/61, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -4  (b) 1  (c) 1\/3  (d) 5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l. Let q(j) = -2*j - 778. Let s(t) = 2*t + 839. Let g(b) = 6*q(b) + 5*s(b). Give p(g(v)).\nAnswer: 2*v + 473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1377) - sqrt(1377)*6*-1)*2 + (5 + -2*sqrt(2057) + sqrt(2057) - (sqrt(2057) - 2*(sqrt(2057) + 0))))**2.\nAnswer: 1260*sqrt(17) + 269917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 70 and 8?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.36 - -20.36. Let v = p + -20.4. Let u = 0.9 + 0.1. What is the second smallest value in 2\/3, u, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, -4, -13, -7 in descending order.\nAnswer: 1, -1, -4, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -662*d = -655*d - 23499. What are the prime factors of d?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6223525 to the power of 1\/3, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 8*1 + (-12 + -2188)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 124 + -89. Let a = 0.06 + -0.16. Is a smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -9*q - 101. Let p be w(-7). Let v = -36 - p. Calculate the greatest common factor of v and 32.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 + 5*r**2 + r - 2. Let g be m(-4). Let a = g + -11. Suppose -4*l = 12 + 8. Sort a, -2, l in descending order.\nAnswer: a, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 132 = -2*b. Suppose k + 25 = 6*k. Suppose -62 - b = -k*j. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -2*u**2. Let c(b) = -52*b**2. Calculate c(d(p)).\nAnswer: -208*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 - 15*q + 24. Let l(i) = -116*i - 1853. Let s be l(-16). Give b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24631.\nAnswer: 24631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 r when three letters picked without replacement from rrgogcgcooccc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/3 - (-1 - 30). Suppose 0 = -3*l + 5*l - f. What are the prime factors of 10\/(-5)*l\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6181 - 1?\nAnswer: -6182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 1111881.7 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes after 3:51 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-73*b + b + 31*b)*(1 - 2 + 4)*(2 + 0 - 3)*(5 + 2*b - 5)*(b**2 + b**2 - 3*b**2).\nAnswer: -246*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -6 + 10 - 3*a - 3*a + a. Determine n(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -35 - -45. Calculate the lowest common multiple of z and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - -2096*(2 + -1). Calculate the common denominator of f\/420 - (-4)\/(-14) and 93\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f + 3 + 4 + 1 + 2*f. Does 12 divide i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -11*h**2 - 26*h + 1225. Let t(l) = 24*l**2 + 54*l - 2451. Let f(w) = -3*t(w) - 7*x(w). What is the derivative of f(b) wrt b?\nAnswer: 10*b + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 1 = -4*n. Suppose 58 + 17 = n*i. Calculate the highest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 + 0 + 15 + 4 + -19\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 11 = 4*w - 4*i, 5*i + 2 = 4*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-18)*18\/(-12)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -480, -480, -492, -522, -576, -660?\nAnswer: -780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1806162 by 301027.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 9117023 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 - 6*z**2 + 5*z + 1. Let w = -21 - -41. Let n be (-15)\/w - 254\/(-8). Let p = n + -26. What is f(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (10 - 6 - 54)*(-3*o + 3*o + 12*o)*(-2*o**2 + 2*o - 2*o) to the form s + x*o**2 + p*o**3 + g*o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a century in months?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 8*k**2 + 10*k - 5. Let o be y(9). Suppose -20 = 7*t - 3*t + o*w, -5*t = 2*w + 22. Let m(l) = -l + 1. Let s(a) = a - 1. Give t*s(p) - 5*m(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -78411757680 to the nearest one million.\nAnswer: -78412000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: c (base 16) to base 8\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + -2 + sqrt(2448) + sqrt(2448))**2 + -1*-1*sqrt(2448).\nAnswer: 108*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6474\/(-166)*((-42)\/6)\/(-21).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -2*b**3 - 6*b**2 - 4*b + 1. Let x(v) = 1 + 6*v - 9*v - 5*v**2 - 5*v**3 + 3*v**3. Calculate 5*q(k) - 6*x(k).\nAnswer: 2*k**3 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(33) - sqrt(33)*-1*-1) + sqrt(33) - sqrt(33))\/sqrt(3)*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 h, and 1 e when three letters picked without replacement from xxhfate.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 322544250?\nAnswer: 2, 3, 5, 7, 20479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 531641?\nAnswer: 11, 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12131478 and 369954?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -50 + 55. Suppose 3*u - 80 = -b*i - 2*u, -u + 33 = 2*i. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4406233.23 less than -1441?\nAnswer: 4404792.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 48*l - 6. Let h be y(-3). What is h rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 137*d - 24791. Determine l(181).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 345528 is divided by 2069.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9347 is divided by 1775?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 476239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -92, -338, -736, -1286, -1988, -2842?\nAnswer: -3848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(3840)*-1 - sqrt(3840))\/sqrt(12).\nAnswer: -16*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 161\/702 and 16 - ((-46475)\/180)\/(-13).\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + (-3804)\/14 + (-12)\/42. Which is the second smallest value?  (a) 4  (b) -0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.026?  (a) 4  (b) 0  (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the third derivative of s**10\/226800 - s**8\/15120 + s**6\/1080 + 11*s**5\/60 - 8*s**2. Let o(w) be the third derivative of b(w). Factor o(i).\nAnswer: 2*(i - 1)**2*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7238 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 - 37\/2. Let d be 0 - (-2 + -3 + 2). Factor 0*i + o*i**d + 0 + 0*i**2 + 1\/2*i**4.\nAnswer: i**3*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (4 - 4) + -3722712 + 0. Let l = f - -6391416. Suppose 0 = 4*j - l - 5331296. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**2 - 5*z + 3. Let w(r) = -84*r. Determine w(o(j)).\nAnswer: 168*j**2 + 420*j - 252","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 = -5*u, -2*v + v = 3*u - 1. Let h be (-11 + 8 + 7)*-1*v. What is the smallest value in 1, 24, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1090 - 4439 = -501*o + 4491 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 418769428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 3*r + (-3 + 1 + 1)*(8*r - 2*r - 7*r) - 2*r + 0*r + 0*r)*(-3*r - 2*r + 3*r)*(5*r - 3*r + 4*r) to s*r**3 + l*r + q + o*r**2 and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 669519 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmwm when four letters picked without replacement from bmmbwbbbbbmbwwbmwmbm?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 3*a - 4 = a, -4*a + 4 = 0. Suppose 2*v - i*v = 0. Let k = 5 + v. Solve 2*u - 1 = k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 - 9 - 11 = z - 9, 312*h + z - 292 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 0 - 16 = -3*b, 4*b + 3*s - 23 = 0. Suppose 3 = b*c - l - 15, -c + 9 = 2*l. Let a(o) = -4*o**2 - 3 + 5*o + 4 - o**3 - c*o - 2. Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 120\/2*4\/10. Suppose 8 + d = 4*k. Suppose 2*p - k = -2*p. Solve r - p = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2004251247.\nAnswer: 3, 1523, 146221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 15 = x. Let h(r) = 2*r**2 + 9*r + 9. Let y be h(x). Solve -5*w - y = 3*u, w + 6 = 3*u - 4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2*k**2 - 130*k + 269. Calculate r(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -9664*a + 9666*a + 2*u, 0 = -3*a + 5*u - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3))\/((-16)\/(2560\/(-32))).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 183652445 to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1332, 10523, 35482, 84093, 164240?\n\"Answer: 1314*x**3 - 7*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4715 divided by -23?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 62501099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 120, 0.1, 0.3, -0.2 in decreasing order.\nAnswer: 120, 0.3, 0.1, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 11:26 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2537 and -1269.\nAnswer: -3219453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 82?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 + -5.05. Let u = a - 0.45. Let x = -14 - -15. What is the second smallest value in x, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2321231 (base 5) to base 3.\nAnswer: 2010201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 88 - 88. Solve 0 = -3*o + t + 6 + 14, -o - 4*t - 15 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -1 + 2 - -8 - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 120516056*d - 39429734 wrt d?\nAnswer: 120516056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**4\/7 - 545616*v**3\/7 - 24808068288*v**2\/7 - 375991082972928*v\/7.\nAnswer: -4*v*(v + 45468)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 3 + sqrt(200) + -2)**2 + (sqrt(200) - (sqrt(200) + (sqrt(200) + 3 + 5 - sqrt(200)))**2).\nAnswer: -110*sqrt(2) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 - (-27 - -36 - (8 - -3) - -14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-636)\/530)\/(1*15\/50)*177\/(-12).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 200 and 5300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64 - 108 = -11*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-118)\/(-16) + 4*14\/(-8). What is the second smallest value in a, 2, -9, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 493*p**2 - 118*p + 4815 + 50*p - 4817.\nAnswer: 493*p**2 - 68*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*j = 336 + 432 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 5:05 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2519404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -53*x**5 - 49*x**4 + 3*x**3 + 461125*x.\nAnswer: -1060*x**3 - 588*x**2 + 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 40. Let m be s(0). Let h = 30 + m. Let y be 9 + -12 - (-42)\/h. Which is bigger: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(896)*-3)\/(6*(sqrt(1152) + -6*((3*sqrt(1152) - sqrt(1152)) + sqrt(1152)))).\nAnswer: -sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 348705 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of c**5\/10 - c**4\/6 + 8*c**2. Let w(s) = -2*s**2 + s. Let x(q) = -2*l(q) - 7*w(q). What is the second derivative of x(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1197 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 106309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1454*(-2)\/4 + 1. Suppose 11*j - m = 284. 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: Simplify ((a**(2\/3))**4\/(a**(-3)\/a**(-5)))**(1\/6) assuming a is positive.\nAnswer: a**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.92 + -3.1. Let r = 44 + -44.02. Let a = r + k. What is the closest to a in -8, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 14\/4 - 5 - (-10)\/4. Let q(o) = -7*o**3 - o**2 - o - 3. Let l(i) = 15*i**3 + 2*i**2 + 3*i + 7. Let t(g) = 2*l(g) + 5*q(g). Give t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 43088?\nAnswer: 2, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the third derivative of -2*f**4\/3 - 29*f**3\/6 + 112*f**2. Let g be c(-4). Solve -3*k - 15 = 0, 0*j = 5*j - 3*k - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*k - 476 - 2764 = 96*k. Is -164\/3 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25 and 695.\nAnswer: 3475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(1\/5*-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190) - (sqrt(190) + ((sqrt(190) + 1*sqrt(190) + sqrt(190) - sqrt(190))*5 - sqrt(190)) + sqrt(190)))\/sqrt(10).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 8*o + 15. Let v(d) = -3*d - 3 - 3 - d**o + 10*d + 4*d**2. Give v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -222 - -219. Sort l, -2\/7, -0.2, 0.3 in decreasing order.\nAnswer: 0.3, -0.2, -2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/(-2) + (-1)\/2. Suppose g*h = -8, 8*r + 1 = 3*r + 2*h. Let w be (-93)\/(-15)*r - (0 + 0). Which is smaller: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -156162022 less than -156162022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/4 - (-6)\/4. Suppose 45*d = 71*d - 182. Sort d, 2, p in decreasing order.\nAnswer: d, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -137305, -137311, -137317, -137323, -137329, -137335?\n\"Answer: -6*c - 137299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -15*b - 236. Let t be y(-16). Suppose -t*m + 32 = 2*i - 7*i, -5*m = 5*i + 5. Put m, -34, -2, 1 in descending order.\nAnswer: m, 1, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 4*y + 12, -6*y + y = -3*p - 9. Let s = 0.064 + -0.063. Which is bigger: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**4\/13 + 30*y**3\/13 - 54166*y**2\/13 + 323106*y\/13 + 377300\/13 = 0. Calculate y.\nAnswer: -175, -1, 7, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.4765 and 0.61305378.\nAnswer: 1.08955378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, q: 5, t: 9, l: 3}. Give prob of sequence lt.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 95\/(2565\/(-1521)) - -60?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-147)\/(-14))\/(-3) - -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k**3 - 7810*k**2 - 6*k + 6. Let m(g) = 5*g**3 - 23429*g**2 - 16*g + 16. Determine 8*a(s) - 3*m(s).\nAnswer: s**3 + 7807*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**3 + 18 - 9 - 1 - 8.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*n - 3*j = -20*n + 8, 5*j + 22 = n. Let c(a) = -393 + 386 - 4*a - 4*a**n + 2*a**2. What is c(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-4) + 14\/4. Suppose 134 + s = -2*d. Let p = -118 - d. What is the common denominator of p and 149\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 414464 divided by -256?\nAnswer: -1619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-540)\/24)\/((1 - 2)\/14). What is the hundreds digit of q\/(-4)*(21 - 25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 123035?\nAnswer: 5, 11, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0027813576 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 10433434, 10433458, 10433482, 10433506, 10433530, 10433554?\n\"Answer: 24*f + 10433410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3 - -7. Suppose -i + 2*i = -n. Which is greater: i or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*w + 13457 = 15109 for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*f**4 - 30316*f**5 + 30492*f**5 + 895*f**2 + 3*f**4 - 2750*f**2 wrt f.\nAnswer: 10560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 98*x + 491. What is s(-9)?\nAnswer: -391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-131*v**2 - 2*v**2 + 11*v**2)*(0 + 0 + 2)*(9 - 13 - 10)*(3 - 2 + 0).\nAnswer: 3416*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -4*y**2 + 4*y - 1. Let k be v(1). Let l be (-12)\/15*25*k. Solve 5*o + l = 6*x - 4*x, 3*x - 17 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -2, -1.3, 19, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 0*w**4 + 0*w + 0 + 121\/210*w**7 - 24*w**2 + 0*w**3 + 13\/60*w**5 + 0*w**6. What is the third derivative of z(y) wrt y?\nAnswer: 2904*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45 = 2*o + 3*o. Suppose 0*r + 3*r = -12. Calculate the remainder when ((-150)\/12)\/(2\/r) is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u - 23*u**2 - 10*u**2 + 39*u**2 + 37*u - 3 - 12*u**2 - 28*u.\nAnswer: -6*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -13*k**2 + 639*k + 640. Calculate n(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((1 + 2*sqrt(7))*-2 + ((0 + sqrt(252))*-3)**2).\nAnswer: -12*sqrt(7) + 6798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24879 and 49758.\nAnswer: 49758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 342 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**2 + 7*t + 1. Let w be z(7). Let r = 0 + w. Which is greater: 4\/7 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 3168603, 6337195, 9505787, 12674379, 15842971, 19011563?\n\"Answer: 3168592*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -304423 + 410220?\nAnswer: 100242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169307 is divided by 310?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/5)\/(n*(n**5\/n)\/n))**(2\/89))**(-18) assuming n is positive.\nAnswer: n**(792\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -23 + 36. Let p = s - 5. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -6*s**2 + 54 - 54 - s**3 - 7*s. Let d be g(-6). Suppose 2*r - d = -0*r. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 2*g**3\/3 + 16*g. Let a(y) = -14*y**2. Calculate a(n(k)).\nAnswer: -224*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2919 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 74553 at least as big as 73761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.4 and 7238?\nAnswer: 7237.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*b**3 - 326*b**2 + 166*b + 164.\nAnswer: -2*(b - 1)*(b + 82)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14025, 27541, 41057, 54573, 68089?\nAnswer: 81605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/6 - 247\/3. Is b\/((-8)\/12 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, d: 1, p: 3, c: 1}. What is prob of picking 1 a, 1 y, and 1 p?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 9*g - 17. Let v(z) = -5*z + 8. Let o(h) = -4*m(h) - 9*v(h). What is the units digit of o(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -1709*h + 114903. Determine w(67).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*p - 22*p = 184. Let k be (-22)\/(-10) + p\/(-40). Solve 2*y = 5*g + 2, 5 = -k*g + 7*g + 5*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*z**2 - 221572692*z - 6136807230015858.\nAnswer: -2*(z + 55393173)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 84559169 or 84559173?\nAnswer: 84559169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -421134 - -5030?\nAnswer: -412104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70*d - 22*d - 13*d)*(-3 + 3 + 6)*(3 - 3 - 2).\nAnswer: -420*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58 + 36. Let j = d - 189\/2. Sort -4, 6, j, 5 in increasing order.\nAnswer: -4, j, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 466092 and 53286.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -77 - -384\/5. Let f be ((-3)\/(-15))\/(9\/15). Sort f, -0.1, a in descending order.\nAnswer: f, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-117 + (0 - 11) - (5 + -8 + 11)) + 14?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 71494 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 574914*z**2 - 1359887?\nAnswer: 1149828*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of 0*b**3 + 0*b**2 + 0 - 17*b - 1\/6*b**4 - 8\/5*b**5. Find the third derivative of j(q) wrt q.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43 is divided by 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 36. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-667)\/575*(-4078025)\/10 - 1\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 183829 * 61.5.\nAnswer: 11305483.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/3  (b) -5  (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i + 36. Let z be f(-8). Suppose 2*u - 74 = -z*y, 3*u - 17 = -y + 2*u. What is the highest common factor of y and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4.498 + 0.052. Let l = 32 + -28. Let r = p - l. What is r rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*d = -137*d - 234. Let y(s) = -7*s**3 + 6*s**2 + 6*s - 6. Let z(i) = 6*i**3 - 5*i**2 - 5*i + 7. Calculate d*z(t) - 5*y(t).\nAnswer: -t**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -65.389 - 5?\nAnswer: -70.389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-26) - (-534)\/78. Let q be (-3 + 1 + (r - 5))\/(-1). Let g be (q - 3)\/(-3) - (3 - 7). Solve m - g = -1 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/16*-2*-5*32*39\/2600.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -3892341, -3892359, -3892377?\n\"Answer: -18*c - 3892323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 77  (b) -22  (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.4123 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h + 55. Let u(s) = 3*s - 179. Let d(j) = 13*t(j) + 4*u(j). Let q(i) = 2*i - 3. Determine -d(m) - q(m).\nAnswer: -m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25035992 is divided by 200.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6.171843km?\nAnswer: 617184.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -0.1, 253, -0.22, 0.1.\nAnswer: -0.22, -0.1, 0.1, 1, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 169101483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*((sqrt(228) - (sqrt(228) + (sqrt(228) + sqrt(228)*2 + sqrt(228))*6)) + sqrt(228)))\/(2*sqrt(768) + ((sqrt(108) - -1*sqrt(108))\/sqrt(9) - sqrt(12))).\nAnswer: -138*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 18645 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 38 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 51180 divided by -14.\nAnswer: -25590\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f**3 - 7869*f**2 + 15758*f**2 - 7889*f**2.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 7*b + 7. Let v(h) = 20*h + 20. Let i(x) = -17*q(x) + 6*v(x). Let j be i(2). Suppose 20 = j*p - 220. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - t = -5*t. Put -0.1, 6, t, -3 in ascending order.\nAnswer: -3, -0.1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2527847808 to the power of 1\/3, to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -2*x**2 - 9*x - 2. Let b(u) = -7*u + 11. Let o(l) = 3*l - 5. Let f(v) = -4*b(v) - 9*o(v). Calculate -4*f(j) - q(j).\nAnswer: 2*j**2 + 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Expand (22*m - 22*m + 14*m**2)*(-1 + 2*m + 1) - 3*m**3 + 2*m**3 + 2*m**3 + (m - 1 + 1)*(2*m**2 + m**2 + 3*m**2).\nAnswer: 35*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 40 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.018316 in 0.1, 2\/9, 1283?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1914 - -1904. Suppose -j = 4*r + 11, 0 = r - 2*j + 2 + 3. Let d(q) = -q**2 + 4. Let u be d(r). Which is smaller: o or u?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes after 12:49 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28.000034 - -28. Round q to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by 17367.\nAnswer: -1\/17367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40*p + 9 = -31*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 + 8*m + 2. Let y be r(-8). Suppose 4*s + 4*p + 4 = 0, 0 = 5*s - p + 2 + 3. Let n be 9\/15*(-5)\/s. Solve -n*c = y*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:25 AM and 9:10 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11291\/13 + -869. Let q = 230 - 14946\/65. Let l = c + q. Does 0.18 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -111708196975543901 - -111708200420424131.99999951. Let l = 3444880300 - p. Let s = 69 - l. Round s to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1.1 + -0.7. Let f = 2.4 - k. Let l = 0.07 - -0.23. What is the biggest value in l, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*r**2 + 15*r**2 + 8*r**2 - r**2 - 5*r**2 + 4*r**2 + (-3*r - r**2 + 3*r)*(-1 + 0 + 0).\nAnswer: 37*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**3 - 21*q**2 + 25*q - 132. Let f be r(-12). Solve -2*g - 4 = f, 9 = -3*x - 13*g + 10*g for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bjj when three letters picked without replacement from {u: 1, d: 5, r: 1, j: 4, b: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19150 is divided by 266.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 23*w**2 + 21*w + 24. Let m be g(22). Suppose 6*v - 128 - 136 = 0. Which is smaller: v or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7*o**3 + 25*o - 25*o)*(3*o + 0*o - o) - 5*o**4 - 8*o**4 + 0*o**4 as q*o**2 + p*o**3 + u*o + b*o**4 + a and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 185*x**3 - 2 - 2 - 78*x**3 - 118*x**3.\nAnswer: -11*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-5*(sqrt(171) - sqrt(171)*-1))\/((sqrt(729) - sqrt(729)*-1)*-2).\nAnswer: 25*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -622063 (base 7) in base 5?\nAnswer: -11401000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}